amling questionable searches/ideas firehose

dbell · Post by **dbell** » January 23rd, 2024, 6:26 am

> Is it a problem that the ship can continue directly west of the spark? Should I force its front edge to continue SW instead?

Well, if the ship protrudes too much in the wrong direction then it might not fit where the older ships won't.

Definitely SW is the direction to grow if it can.

BCNU,
-dbell

amling · Post by **amling** » January 23rd, 2024, 4:19 pm

amling wrote: ↑
January 8th, 2024, 1:16 pm

HartmutHolzwart wrote: ↑
January 4th, 2024, 4:12 pm
I would take any front for that double block line as well...
I think the real best shot here is wrong-answers-only b2f hoping for a period division to strict c/2. A preliminary version of this (8G) completed with no results, although the longest partial is pretty long:
Code: Select all
x = 53, y = 15, rule = B3/S23
obo$o$3bo2bo4bo3bo4bo$2b6obo3b2obo2bo2bo$o5bo5bo6bo3bo$obo2bobo4bobo2b
5ob2o3bob2ob2ob2ob2ob2ob2ob2ob2o$b2o5b4obo6bobo4b2ob2ob2ob2ob2ob2ob2ob
2ob2o$3bo3b3ob3o7bobobo$b2o5b4obo6bobo4b2ob2ob2ob2ob2ob2ob2ob2ob2o$obo
2bobo4bobo2b5ob2o3bob2ob2ob2ob2ob2ob2ob2ob2o$o5bo5bo6bo3bo$2b6obo3b2ob
o2bo2bo$3bo2bo4bo3bo4bo$o$obo!
I have a bigger version of that (60G) running now. If that doesn't work out I might return to run 120G some day but I've only got one computer that can do that and the queue of things to run on it is so very long.

All the way to 120G with no results and almost no increase on the best partial:

Code: Select all

x = 121, y = 42, rule = LifeHistory
F.6B2AB2A6B.F19.F19.F19.F19.F19.F$F.17B.F.17B.F.17B.F19.F19.F19.F$F.
6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F19.F$F.6B
2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F
$F.17B.F.17B.F.17B.F.17B.F.17B.F.17B.F$F.6B2AB2A6B.F.6B2AB2A6B.F.6B2A
B2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F$F.6B2AB2A6B.F.6B2AB2A6B.F
.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F$F.17B.F.17B.F.17B.F.
17B.F.17B.F.17B.F$F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.
6B2AB2A6B.F.6B2AB2A6B.F$F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A
6B.F.6B2AB2A6B.F.6B2AB2A6B.F$F.17B.F.17B.F.17B.F.17B.F.17B.F.17B.F$F.
6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B.F.6B2AB2A6B
.F$F.7BABA7B.F.6B2AB2A6B.F.6BA3BA6B.F.6BA3BA6B.F.6BA3BA6B.F.6BA3BA6B.
F$F.17B.F.8BA8B.F.7B3A7B.F.7B3A7B.F.7B3A7B.F.17B.F$F.8BA8B.F.17B.F.
17B.F.17B.F.6B2AB2A6B.F.6BA3BA6B.F$F.6BA3BA6B.F.5B2A3B2A5B.F.5B3AB3A
5B.F.5BABABABA5B.F.6BA3BA6B.F.6B2AB2A6B.F$F.5B2ABAB2A5B.F.5B2ABAB2A5B
.F.5B3AB3A5B.F.5BA5BA5B.F.4B2A5B2A4B.F.5B2A3B2A5B.F$F.4BA2BABA2BA4B.F
.17B.F.7BABA7B.F.5BABABABA5B.F.6BA3BA6B.F.4BAB5ABA4B.F$F.6BABABA6B.F.
5B2A3B2A5B.F.5BA5BA5B.F.17B.F.4BA2B3A2BA4B.F.6BABABA6B.F$F.3BA2B2AB2A
2BA3B.F.4BA3BA3BA4B.F.4BA7BA4B.F.4B3ABAB3A4B.F.4BABABABABA4B.F.5BA2BA
2BA5B.F$F.4B3A3B3A4B.F.4BA7BA4B.F.5BAB3ABA5B.F.4B2AB3AB2A4B.F.17B.F.
4BA2BABA2BA4B.F$F.6BA3BA6B.F.6B2AB2A6B.F.5B2A3B2A5B.F.5BA2BA2BA5B.F.
4B2A2BA2B2A4B.F.4B3ABAB3A4B.F$F.6BA3BA6B.F.5BA5BA5B.F.6BA3BA6B.F.6BA
3BA6B.F.4BAB5ABA4B.F.3B2ABA3BAB2A3B.F$F.4BA7BA4B.F.17B.F.5BA5BA5B.F.
4B2ABABAB2A4B.F.4BA2B3A2BA4B.F.5BA5BA5B.F$F.3BA9BA3B.F.3B3A5B3A3B.F.
3BAB2ABAB2ABA3B.F.4B2A2BA2B2A4B.F.7B3A7B.F.7BABA7B.F$F.4BABA3BABA4B.F
.3B3AB3AB3A3B.F.6B5A6B.F.5B2A3B2A5B.F.17B.F.7BABA7B.F$F.4BA2B3A2BA4B.
F.4BA3BA3BA4B.F.8BA8B.F.5B2ABAB2A5B.F.4BA2BABA2BA4B.F.4B2A5B2A4B.F$F.
5B2ABAB2A5B.F.4B3A3B3A4B.F.4B2A5B2A4B.F.5BA5BA5B.F.4B2A5B2A4B.F.4B3A
3B3A4B.F$F.3BA3B3A3BA3B.F.17B.F.6BA3BA6B.F.5BA5BA5B.F.5BA5BA5B.F.4B3A
3B3A4B.F$F.7BABA7B.F.6BA3BA6B.F.17B.F.6B2AB2A6B.F.7BABA7B.F.17B.F$F.
4BA2B3A2BA4B.F.6BA3BA6B.F.6B2AB2A6B.F.5B3AB3A5B.F.4BA7BA4B.F.5BAB3ABA
5B.F$F.7B3A7B.F.5B2A3B2A5B.F.4BABA3BABA4B.F.3B2ABABABAB2A3B.F.4BABABA
BABA4B.F.3B3A5B3A3B.F$F.4BABABABABA4B.F.3B2ABABABAB2A3B.F.3B2A3BA3B2A
3B.F.8BA8B.F.3BA9BA3B.F.4BABA3BABA4B.F$F.3B3A5B3A3B.F.3BA2B2AB2A2BA3B
.F.3B11A3B.F.3BAB7ABA3B.F.5B2ABAB2A5B.F.4B4AB4A4B.F$F.4BABA3BABA4B.F.
17B.F.17B.F.6BA3BA6B.F.5B2A3B2A5B.F.5BA2BA2BA5B.F$F.4BA7BA4B.F.4BA7BA
4B.F.3B2A3BA3B2A3B.F.8BA8B.F.7BABA7B.F.4BA7BA4B.F$F.3B2A7B2A3B.F.3B2A
2B3A2B2A3B.F.7BABA7B.F.5BA2BA2BA5B.F.4B2A5B2A4B.F.4B2ABABAB2A4B.F$F.
4BAB5ABA4B.F.2BAB4AB4ABA2B.F.2BAB2A5B2ABA2B.F.4B2A5B2A4B.F.4BAB2AB2AB
A4B.F.4BA7BA4B.F$F.2B2A3BABA3B2A2B.F.2BA4BABA4BA2B.F.2BABA7BABA2B.F.
4BABABABABA4B.F.6B5A6B.F.5BA5BA5B.F$F.3B3A5B3A3B.F.3BA2BABABA2BA3B.F.
5BAB3ABA5B.F.3B3ABABAB3A3B.F.3BA3BABA3BA3B.F.3BA9BA3B.F$F19.F19.F.2BA
2BABABABA2BA2B.F.4BA2BABA2BA4B.F.2BABA2BABA2BABA2B.F.2BABA7BABA2B.F$F
19.F19.F19.F19.F.3BA9BA3B.F.4B9A4B.F!

I did spot an interesting splittable/turnable partial e.g. this:

Code: Select all

x = 181, y = 43, rule = LifeHistory
F3.3BAB3A2BA14B.F3.2B2A2BA2B3AB2AB2A7B.F29.F29.F29.F29.F$F3.8BAB2A13B
.F3.3BAB3A2B2A3BA9B.F2.8BABA14B2.F2.3BABAB2A3BA2BA9B2.F.8B2A2B2A11B3.
F.3BABABA3B2A2BA9B3.F$F3.3B2A5BA3B3A8B.F3.3B2ABA5BAB2A9B.F2.3B2A4B3AB
4A8B2.F2.3B2ABA4BAB3A9B2.F.3B2A8B4A8B3.F.3B2ABA2BABA3BA9B3.F$F3.4B7AB
3A10B.F3.3BA2B3ABABA12B.F2.4B5ABA3BA10B2.F2.3BA2B3A16B2.F.4B5A2B2ABA
10B3.F.3BA2B4AB2ABA10B3.F$F3.5BA4BA2BA11B.F3.10BA14B.F2.5BA5BABA11B2.
F2.10B2ABA11B2.F.5BA3B3A13B3.F.12BA12B3.F$F3.5B2ABABA2BA11B.F3.4B3A3B
2ABA11B.F2.5B2A4B2A12B2.F2.4B3A2BA15B2.F.5B2A2B2A14B3.F.4B3ABA3BA12B
3.F$F3.5BA3BABAB2A10B.F3.4BA20B.F2.5BA2B4A13B2.F2.4BA3B2AB2A12B2.F.5B
A2BABAB2A11B3.F.4BA3BABAB2A11B3.F$F3.5B3AB6A10B.F3.5BAB3A4BA10B.F2.5B
3ABA15B2.F2.5BABABABA13B2.F.5B3A4B2A11B3.F.5BABAB2A2BA11B3.F$F3.6BA4B
A13B.F3.5BA5BABA11B.F2.6BA5BABA10B2.F2.5BA3B2A14B2.F.6BA3B2A13B3.F.5B
A19B3.F$F3.7B3A15B.F3.6B3AB3A12B.F2.7B3ABA3BA9B2.F2.6B3A5B2A9B2.F.7B
5A13B3.F.6B4A2BA12B3.F$F3.7BA3B2A2BA9B.F3.7BA3B4ABA8B.F2.7BA7BA9B2.F
2.7BA3BA13B2.F.7BA3BA3B2A8B3.F.7BA7BA9B3.F$F3.8B3AB2ABABA7B.F3.8B3AB
3ABA8B.F2.8B4A13B2.F2.8B3A3BA10B2.F.8B5ABA10B3.F.8B2AB4A10B3.F$F3.9BA
15B.F3.8BA3BABA10B.F2.9BA3BABA9B2.F2.8BA3BABA10B2.F.9BA4B3A8B3.F.8BA
3BABAB2A7B3.F$F3.10B2A3BABA7B.F3.10B2A4BA8B.F2.10B2A3BA9B2.F2.10B2A3B
A9B2.F.10B2A2BAB2A7B3.F.10B2AB2A10B3.F$F3.11BA3BA9B.F3.10B3AB2A9B.F2.
11BABAB3A7B2.F2.10B2ABAB2A8B2.F.11BA2BAB2A7B3.F.10B2A2BABABA6B3.F$F3.
12BA2BABA7B.F3.15BA9B.F2.12BABA10B2.F2.12B3A3BA6B2.F.12B3A3BA6B3.F.
12BABABABA6B3.F$F3.14B2ABA7B.F3.14B2ABA7B.F2.15B2AB2A5B2.F2.15B2A2BA
5B2.F.14BA2B2A6B3.F.14B3A8B3.F$F3.17B2A6B.F3.16B3A6B.F2.16B4A5B2.F2.
15B2A8B2.F.16B5A4B3.F.16BA2BA5B3.F$F3.25B.F3.25B.F2.18BA6B2.F2.18B2A
5B2.F.25B3.F.17BA2BA4B3.F$F3.20B2AB2A.F3.20B2AB2A.F2.21B2ABA2.F2.21B
2ABA2.F.19BA2B2AB3.F.22B2AB3.F$F3.20B2AB2A.F3.19BABAB2A.F2.20BABABA2.
F2.19B2ABABA2.F.20BA2BAB3.F.19B2AB2AB3.F$F3.19BA5B.F3.19BA5B.F2.19B2A
4B2.F2.19B2A4B2.F.19BA5B3.F.19B2A4B3.F$F3.20B2AB2A.F3.19BABAB2A.F2.
20BABABA2.F2.19B2ABABA2.F.20BA2BAB3.F.19B2AB2AB3.F$F3.20B2AB2A.F3.20B
2AB2A.F2.21B2ABA2.F2.21B2ABA2.F.19BA2B2AB3.F.22B2AB3.F$F3.25B.F3.25B.
F2.18BA6B2.F2.18B2A5B2.F.25B3.F.17BA2BA4B3.F$F3.17B2A6B.F3.16B3A6B.F
2.16B4A5B2.F2.15B2A8B2.F.16B5A4B3.F.16BA2BA5B3.F$F3.14B2ABA7B.F3.14B
2ABA7B.F2.15B2AB2A5B2.F2.15B2A2BA5B2.F.14BA2B2A6B3.F.14B3A8B3.F$F3.
12BA2BABA7B.F3.15BA9B.F2.12BABA10B2.F2.12B3A3BA6B2.F.12B3A3BA6B3.F.
12BABABABA6B3.F$F3.11BA3BA9B.F3.10B3AB2A9B.F2.11BABAB3A7B2.F2.10B2ABA
B2A8B2.F.11BA2BAB2A7B3.F.10B2A2BABABA6B3.F$F3.10B2A3BABA7B.F3.10B2A4B
A8B.F2.10B2A3BA9B2.F2.10B2A3BA9B2.F.10B2A2BAB2A7B3.F.10B2AB2A10B3.F$F
3.9BA15B.F3.8BA3BABA10B.F2.9BA3BABA9B2.F2.8BA3BABA10B2.F.9BA4B3A8B3.F
.8BA3BABAB2A7B3.F$F3.8B3AB2ABABA7B.F3.8B3AB3ABA8B.F2.8B4A13B2.F2.8B3A
3BA10B2.F.8B5ABA10B3.F.8B2AB4A10B3.F$F3.7BA3B2A2BA9B.F3.7BA3B4ABA8B.F
2.7BA7BA9B2.F2.7BA3BA13B2.F.7BA3BA3B2A8B3.F.7BA7BA9B3.F$F3.7B3A15B.F
3.6B3AB3A12B.F2.7B3ABA3BA9B2.F2.6B3A5B2A9B2.F.7B5A13B3.F.6B4A2BA12B3.
F$F3.6BA4BA13B.F3.5BA5BABA11B.F2.6BA5BABA10B2.F2.5BA3B2A14B2.F.6BA3B
2A13B3.F.5BA19B3.F$F3.5B3AB6A10B.F3.5BAB3A4BA10B.F2.5B3ABA15B2.F2.5BA
BABABA13B2.F.5B3A4B2A11B3.F.5BABAB2A2BA11B3.F$F3.5BA3BABAB2A10B.F3.4B
A20B.F2.5BA2B4A13B2.F2.4BA3B2AB2A12B2.F.5BA2BABAB2A11B3.F.4BA3BABAB2A
11B3.F$F3.5B2ABABA2BA11B.F3.4B3A3B2ABA11B.F2.5B2A4B2A12B2.F2.4B3A2BA
15B2.F.5B2A2B2A14B3.F.4B3ABA3BA12B3.F$F3.5BA4BA2BA11B.F3.10BA14B.F2.
5BA5BABA11B2.F2.10B2ABA11B2.F.5BA3B3A13B3.F.12BA12B3.F$F3.4B7AB3A10B.
F3.3BA2B3ABABA12B.F2.4B5ABA3BA10B2.F2.3BA2B3A16B2.F.4B5A2B2ABA10B3.F.
3BA2B4AB2ABA10B3.F$F3.3B2A5BA3B3A8B.F3.3B2ABA5BAB2A9B.F2.3B2A4B3AB4A
8B2.F2.3B2ABA4BAB3A9B2.F.3B2A8B4A8B3.F.3B2ABA2BABA3BA9B3.F$F3.8BAB2A
13B.F3.3BAB3A2B2A3BA9B.F2.8BABA14B2.F2.3BABAB2A3BA2BA9B2.F.8B2A2B2A
11B3.F.3BABABA3B2A2BA9B3.F$F3.3BAB3A2BA14B.F3.2B2A2BA2B3AB2AB2A7B.F
29.F29.F29.F29.F!

But also no solution yet.

amling · Post by **amling** » January 23rd, 2024, 6:37 pm

dbell wrote: ↑
January 23rd, 2024, 6:26 am
> Is it a problem that the ship can continue directly west of the spark? Should I force its front edge to continue SW instead?

Well, if the ship protrudes too much in the wrong direction then it might not fit where the older ships won't.

Definitely SW is the direction to grow if it can.

BCNU,
-dbell

Completing the earlier runs to 8G produces:

Code: Select all

x = 161, y = 28, rule = LifeHistory
F.37B.F.37B.F.37B.F.37B.F$F.37B.F.37B.F.37B.F.37B.F$F.18BA18B.F.6BA
10B2A18B.F.5B2A10B2A18B.F.5B2A9B3A18B.F$F.5B3A9B4A16B.F.5B2A10BA2B2A
15B.F.5BABA8B2A2B2A15B.F.4B2A10BA2B2ABA14B.F$F.5BA11BA2B2A15B.F.5BABA
9BA3BA15B.F.5BA11BA2B3A14B.F.6BA7B2A3BA17B.F$F.6BA8BABABA2BA14B.F.14B
2AB2A3BA14B.F.8BA4B3AB2A2B2A14B.F.8B2A4B2A2BABA16B.F$F.8B2ABA2B3A4B2A
14B.F.8B2AB2AB2A4BA2BA13B.F.8B2ABA3B3A4B2A13B.F.8B3ABA7BAB2A13B.F$F.
9BAB2A4B2A2B2A14B.F.8B2AB3A4B2A3BA13B.F.11BA3BA2B3A16B.F.12BAB2AB3A
17B.F$F.13BAB2AB2AB2A14B.F.9BA3BA2BA2BA17B.F.8B2A3BA23B.F.8B2ABAB2A3B
ABA16B.F$F.9B2ABA5BA2BA15B.F.11B2A3BABAB2A15B.F.4BA4BAB3A4BABA16B.F.
3B2A4B3AB2A4BA17B.F$F.4B2A6BAB2A2BA4BA13B.F.3B3A3B2ABA5BA4B2A2BA9B.F.
3B2A3BA3BA2BA2BA4BA2B2A9B.F.3BABA2B2A7B2AB4A2B2A9B.F$F.3B2A4BA2BA6B6A
B3A8B.F.3BA4B3ABAB2A2B4AB4ABA8B.F.3BABA2BA3BA5B3AB2A2BABA8B.F.3BA4BA
3B2ABA5BA2BABA10B.F$F.5BA2B3ABABA2BA3BA3BAB2A8B.F.4BA3BABABA12BA2BA8B
.F.7B2ABABA2B4A3B2A13B.F.6BA4B3ABA6BABA12B.F$F.8BA3BA3BA4BABABA11B.F.
8BA2B2A3B2A2B2A2BABA10B.F.7B2A4BA2B5A3BA12B.F.6BA2BA4BA5B2A2B2A11B.F$
F.13BA3BA3B2A14B.F.8B5A4B2AB5A12B.F.7BA7BA4BA3B2A11B.F.14B3A4BAB3A11B
.F$F.7BAB3A3BAB2ABA3BA2BA9B.F.7BAB2ABABAB3A3BA14B.F.6B2A6BA3B3A3BA12B
.F.6B3AB2A3BAB2AB2A2B2A11B.F$F.7B3A3BA5B3A15B.F.6B2ABA2B2AB2A4BA2BA
12B.F.6BA2B4A3BABA3B2A13B.F.5BA3B4A2BAB2A2B2ABA12B.F$F.6BA6B2ABAB3A2B
ABA11B.F.7B2A4B2A3BA4BA13B.F.6B3A2BA3BA6B2A13B.F.6B4A3B3A5BA2BA12B.F$
F.22B3A12B.F.11B3A5BA2BA14B.F.11BAB2A7B2A13B.F.5B3A2B2AB3A21B.F$F.5BA
4B3A10BA13B.F.4B2A5BA9BA2BA12B.F.4B2A5BA2BA4BAB2A14B.F.4B2A5BA2BA6BAB
A13B.F$F.4B2A2BA7BA4B2A14B.F.4B2A6B2ABA3B3A15B.F.3BA2BA3B2ABA5BABA15B
.F.2B2A2BA3B2ABA4B2AB2A14B.F$F.3BA8BAB2A2B3AB2A13B.F.3BABA3BABABABA3B
2A16B.F.2B2ABA5BABABA2BA18B.F.2B3A4BABABA2BAB2A17B.F$F.3BABA3B2ABA9B
2A13B.F.2B2A5BABA4B2A2B4A13B.F.8B2ABABA2B3A3BA14B.F.8B2ABA6BA2BA15B.F
$F.3BA4BA5B3AB2A17B.F.2B2ABA2BABA2B2ABABABA16B.F.8BABA4B2A2B2ABA14B.F
.3B2A2B2AB3AB2A3BABA15B.F$F.3B3A2B2A3BAB2AB3A16B.F.3B2A3B2A27B.F.2B4A
2BABA2BA2B2A19B.F.2B2ABA4B2A3B3A2B3A14B.F$F.10BA6BAB2A16B.F.6BABABA3B
2ABA3BA15B.F.3BABA5BA9BABA13B.F.2B2A7B4A4BAB2A14B.F$F.3B3ABA2BA4BA4BA
2BA13B.F.3BABA2B4A6BA2B4A12B.F.5B2A5BAB8A15B.F.6B2AB2ABABA2B2A18B.F$F
.4B2ABABABA7BABAB2A12B.F.3BABA2B2AB2A2BA2BABA2B4A10B.F39.F39.F!

Code: Select all

x = 173, y = 41, rule = LifeHistory
F.40B.F.40B.F.40B.F.40B.F$F.40B.F.40B.F.40B.F.40B.F$F.19B2A19B.F.20BA
19B.F.17BA22B.F.17B4A19B.F$F.8BA8BA3BA2BA15B.F.7B2A7B3A2BAB2A15B.F.7B
2A7BAB4A2B2A14B.F.6B3A7B4A2B3ABA13B.F$F.7B2A7B2A3B3ABA14B.F.7BABA6B2A
2BA4B2A13B.F.6B2A7BA4B3AB3A13B.F.6BA7B2A6B2A16B.F$F.7BABA5BA5B3AB2A
13B.F.7BA7BABA3BA4BA13B.F.8BA5B2AB2A2BA3B2A13B.F.7BA6B2AB4A5BA13B.F$F
.11BA3BA2BA5B2A14B.F.10BA3B2ABA4BA17B.F.10B2A5B2A3B2A16B.F.9B3A4B2AB
3ABABA14B.F$F.10BA2BA2B2A6BABA13B.F.10B2A2B3A2BA3B2A15B.F.10B2A7BABAB
2A15B.F.10B3A5BAB2AB2A15B.F$F.10BA3BA2B3A4BA15B.F.13B2A2B5ABABA14B.F.
13BA7BA3BA14B.F.12B2ABA4BA2BA16B.F$F.14B2A4B3A17B.F.14B4AB3AB3A14B.F.
13B4A6BA16B.F.13BA3BA5B2A15B.F$F.17BA6B2A14B.F.18B4A2B3ABA11B.F.15B3A
4B2A3B2A11B.F.12B2A3BA6BA2B2A11B.F$F.12BA5B2A5BAB3A10B.F.11B2A6B2A4BA
BABA10B.F.11B2A5BA3B2A3BABA10B.F.11B4A3BA3BABAB2A12B.F$F.11B2A2B3AB2A
4BAB3A10B.F.11B2A2B2A4B2ABA4BA10B.F.10BAB2AB4A5BABA13B.F.9B2A4B2AB2A
2BABA15B.F$F.8BABA5BAB2AB3A3BA12B.F.7B2ABA3BABAB2AB3A3BA12B.F.7B2ABA
2B2ABA2BA3BA16B.F.6B4AB3A5B2A2B3A14B.F$F.7B3A2B3A7BA3BA13B.F.7BAB2A3B
A2B3ABA18B.F.6B2A7BABABABA2BA15B.F.6BA3BA3B4AB2A3BA15B.F$F.7BA3B3A4BA
4BA16B.F.7BA2B2A10B2ABA14B.F.8B2ABA6BA3B2A16B.F.9BA4B3ABAB2ABABA14B.F
$F.11BA2BA4BA2BABABA13B.F.11BA2BA8BABA14B.F.8B2ABA2B2A5BABAB2A13B.F.
7BA3BA2B2A3BABAB2A15B.F$F.9BABA2BA11BA13B.F.8B2A4B2A2BAB2ABABA14B.F.
8B3A3B2A2BABABA17B.F.7BA2BA3B6AB4A15B.F$F.8B2A5BA2B3ABA17B.F.9BA8B2A
20B.F.7BA9B2A4BA16B.F.6B2A8BA3BA2BA16B.F$F.7BABA7BA22B.F.6B2AB2A7BAB
2AB2A15B.F.5BABAB2A6B2AB2ABA16B.F.6BABA10B3A2BA15B.F$F.6B2ABA10BA2B3A
14B.F.5B3A9BA3BAB4A13B.F.3BA12B2A3BA3BA14B.F.2B2A2BABA6BA4B2A2BA15B.F
$F.3B2ABA8B3A2BABA2B2A13B.F.2B6A7B2A4BABA16B.F.2B3A2BA6B2ABA5BA16B.F.
2BABA9B2ABA7BA14B.F$F.2B2A11BA9B2A13B.F.2BA11B2ABA6BA15B.F.2BA11BA9B
2A14B.F.2BA11BABA6BA2BA13B.F$F.4BABA8BABA7BA14B.F.3BAB3A7BA9B2A13B.F.
6BA8BA8B3A13B.F.5B2A16BA16B.F$F.6B2A8BA23B.F.15BABA7BA14B.F.4B2ABA16B
3A13B.F.5B2A7BA25B.F$F.5B3A7BABA3BAB3A14B.F.5BABA9BA2BABABA15B.F.13B
2A2BAB2ABAB2A14B.F.3BA8B6AB3AB2ABA13B.F$F.4BA7B2A3B3ABA18B.F.4BA7B3A
2BAB2AB2ABA14B.F.3B4A4B2ABAB2AB2A19B.F.3B4A4B2ABA2BA22B.F$F.3BA2B2A4B
A2BA2BA5BA15B.F.3B2A2BA3B2ABA2BA3B3A16B.F.2BA4BA3BA3B2A2BABA18B.F.3B
2A2BA3BA6B2AB2A17B.F$F.3BA4BA3BABA4B2AB2A16B.F.2B3ABABA4BABA3BA3BABA
14B.F.6BABA3B2AB2A3B2ABABA14B.F.3BA2BA5BA7B2A2BA15B.F$F.3BA3BA8BA7B2A
14B.F.2B3A2BA7BA4BA3B2A14B.F.2BAB3A8BA7BA2BA13B.F.3B2AB2A6B3A3B2ABABA
14B.F$F.3BA3B2A7BA4B2ABABA13B.F.7B2A3BA2B3A6BABA13B.F.4B2A15BA2BA15B.
F.3B2A6BA11B3A14B.F$F.11B3A2BA7BABA13B.F.4BAB3A2BA2B2A5B2ABA15B.F.6BA
3B3ABA9BA15B.F.4BA5B3A7B2ABA16B.F$F.4B2ABA3B4A7BABA15B.F.8BAB2A4B4A4B
A15B.F.4BA6BA4B2AB2ABA17B.F.5B3A5B2ABAB4ABA16B.F$F.8B2A4B2AB4A3BA15B.
F.4B3AB3A3B2A2B2A3B3A14B.F.5BAB2A2BA2B2A3B2A2BA16B.F.4B4ABABA2B2ABA4B
A17B.F$F.5BA4BABA12BA14B.F.9BA5BA5BA2B2A14B.F.4BA2B3AB2A2BA2BA2BA3BA
14B.F.6B2AB5A2BABA2BAB2A15B.F$F.5BA7B2A4BAB2A2BA14B.F.5B2A4B4A3BAB3A
17B.F.14B2A3B2AB2A16B.F.5B3AB2A3B3AB3A2B2A15B.F$F.6BA3BA2BA3BABA2BA
17B.F.10B4A2BA2BA2BA17B.F.5B2A2BA5BA2BA3B2A16B.F.6BA7B2A3B2A2BA16B.F$
F.10B2A3BABABA2BABA15B.F.6BA2B2A3BA4B2A2BA16B.F.7BA13BA18B.F.6BA3BA
10BABA16B.F$F.6B3A2B2A2BA3BA20B.F.7B3A2BA4BAB2A19B.F.10B2A2BA2BA3BA2B
A15B.F.6BA3B2ABA3B2AB5A15B.F$F.9BA2BA4B3A5BA14B.F.6B3A3BAB4A2BA3B2ABA
12B.F.5B2A2BA2BABA2B2ABA2B4A13B.F.5B5ABABA2B2AB2A2BA16B.F$F.5BA6BAB2A
2BABA3B5A11B.F.4BABA6BAB2A3BABABA2BA12B.F.6BAB2A7BABA5B4A11B.F42.F!

The latter split so nicely and is quite clearly solvable, even using only very small amounts of memory in searches:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 55, y = 51, rule = B3/S23
35b4o$24b3o7b4o2b3obo$24bo7b2o6b2o$25bo6b2ob4o5bo$27b3o4b2ob3obobo$28b
3o5bob2ob2o$30b2obo4bo2bo$31bo3bo5b2o$30b2o3bo6bo2b2o$29b4o3bo3bobob2o
$27b2o4b2ob2o2bobo$24b4ob3o5b2o2b3o$24bo3bo3b4ob2o3bo$27bo4b3obob2obob
o$25bo3bo2b2o3bobob2o$25bo2bo3b6ob4o$24b2o8bo3bo2bo$24bobo10b3o2bo$20b
2o2bobo6bo4b2o2bo3b2o$20bobo9b2obo7bob2o$20bo11bobo7bo4bo$21bo11bo$19b
2o22b2o$25b2o5b3o7b3o$19bobo3bobo3b2o9bob2o$18b2o5bo3bobo11bo2b2o$16bo
bo9b2obo12b4ob2o$15bo12bo11b7o$10b2ob2o11bob2o9b2o$9bo4bo2bo7b4o10bo6b
o$8bo3b2o11bo2bo12bo$8bo11b3o4b2o9b2obo3bobo$bo6b2o10bo7b2o7b2o8bo$2o
19bo3bobo8b2ob3o3b2o$obo2b4o14b2obo13bo2bo2b2o$4b5o15bo18bob2o$3bo3bo
10bo4b2o19bo2bo$4bo12b5o18bobo2b3o$17bo2b2o18b7o$19b3o17bob2obo3bo$38b
2o8b2o$21b5obo10bobo10b2o$21b3o2bobo8bo13b3o$18b2obo16b2o14bo$18bo2bo
29bo2bo$18bobo4bo2bo22bo$24b2obo23bobo$24bo$23b2o$23bo$24bo!

Given how nice those partials are even at 8G I think we have some slack to work with in the initial constraints. NW clearance can be protected as well, something like:

Code: Select all

| LLLuuuuuuuuuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuuuuuuuuuRRR | LLLuuuuuuuuuuuuuuuuuuuuuuuuuRRR |
| ............................... | ............................... | ............................... | ............................... |
| ............................... | ............................... | ............................... | ............................... |
| ...........W................... | ...........W................... | ..........WW................... | ..........WW................... |
| ..........WWW.................. | ..........WWW.................. | .........WWWW.................. | .........WWWW.................. |
| .........WWWWW................. | .........WWWWWW................ | ........WWWWWW*................ | ........WWWWWW.*............... |
| ........WWWWWWW................ | ........WWWWWWW................ | .......WWWWWWWW*............... | .......WWWWWWWW................ |
| .......WWWWWWWWW............... | .......WWWWWWWWW............... | ......WWWWWWWWWW............... | ......WWWWWWWWWW............... |
| ......WWWWWWWWWWW.............. | ......WWWWWWWWWWW.............. | .....WWWWWWWWWWWW.............. | .....WWWWWWWWWWWW.............. |
| .....WWWWWWWWWWWWW............. | .....WWWWWWWWWWWWW............. | ....WWWWWWWWWWWWWW............. | ....WWWWWWWWWWWWWW............. |
| ....WWWWWWWWWWWWWWW............ | ....WWWWWWWWWWWWWWW............ | ...WWWWWWWWWWWWWWWW............ | ...WWWWWWWWWWWWWWWW............ |
| ...WWWWWWWWWWWWWWWWW........... | ...WWWWWWWWWWWWWWWWW........... | WWWWWWWWWWWWWWWWWWWW........... | WWWWWWWWWWWWWWWWWWWW........... |
| WWWWWWWWWWWWWWWWWWWWW.......... | WWWWWWWWWWWWWWWWWWWWW.......... | WWWWWWWWWWWWWWWWWWWWW.......... | WWWWWWWWWWWWWWWWWWWWW.......... |
| WWWWWWWWWWWWWWWWWWWWWW......... | WWWWWWWWWWWWWWWWWWWWWW......... | WWWWWWWWWWWWWWWWWWWWWW......... | WWWWWWWWWWWWWWWWWWWWWW......... |
| WWWWWWWWWWWWWWWWWWWWWWW........ | WWWWWWWWWWWWWWWWWWWWWWW........ | WWWWWWWWWWWWWWWWWWWWWWW........ | WWWWWWWWWWWWWWWWWWWWWWW........ |
| WWWWWWWWWWWWWWWWWWWWWWWW....... | WWWWWWWWWWWWWWWWWWWWWWWW....... | WWWWWWWWWWWWWWWWWWWWWWWW....... | WWWWWWWWWWWWWWWWWWWWWWWW....... |
| WWWWWWWWWWWWWWWWWWWWWWWWW...... | WWWWWWWWWWWWWWWWWWWWWWWWW...... | WWWWWWWWWWWWWWWWWWWWWWWWW...... | WWWWWWWWWWWWWWWWWWWWWWWWW...... |
| WWWWWWWWWWWWWWWWWWWWWWWWWW..... | WWWWWWWWWWWWWWWWWWWWWWWWWW..... | WWWWWWWWWWWWWWWWWWWWWWWWWW..... | WWWWWWWWWWWWWWWWWWWWWWWWWW..... |
| WWWWWWWWWWWWWWWWWWWWWWWWWWW.... | WWWWWWWWWWWWWWWWWWWWWWWWWWW.... | WWWWWWWWWWWWWWWWWWWWWWWWWWW.... | WWWWWWWWWWWWWWWWWWWWWWWWWWW.... |
| WWWWWWWWWWWWWWWWWWWWWWWWWWWW... | WWWWWWWWWWWWWWWWWWWWWWWWWWWW... | WWWWWWWWWWWWWWWWWWWWWWWWWWWW... | WWWWWWWWWWWWWWWWWWWWWWWWWWWW... |
| WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW | WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW | WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW | WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW |

Run to 8G produces something like:

Code: Select all

x = 205, y = 31, rule = LifeHistory
F.48B.F.48B.F.48B.F.48B.F$F.48B.F.48B.F.48B.F.48B.F$F.48B.F.48B.F.48B
.F.28BA19B.F$F.28B2A18B.F.28B2A18B.F.27B3A18B.F.27B2A19B.F$F.28BA2BA
16B.F.27B2A2B2A15B.F.27BA3B2A15B.F.27BAB3ABA14B.F$F.28BAB3A15B.F.28BA
3BA15B.F.28BA2B3A14B.F.30BA17B.F$F.29B2A2BA14B.F.27BA5BA14B.F.31B3A
14B.F.27BA3BA16B.F$F.27B2A2B2A15B.F.30B2A2BA13B.F.26B2A5B2A13B.F.26B
2A2BA2B2A13B.F$F.25B4A3B3A13B.F.25B2ABA5BA13B.F.24B3A3B2A16B.F.23B3A
6BA15B.F$F.24BA6BABA14B.F.23B2AB2A3BA16B.F.22B2A3BA5B2A13B.F.23B8AB3A
13B.F$F.21BAB2A5BAB2ABA12B.F.21B2AB2A4BA2B2A13B.F.20BA7B2A3B2A13B.F.
19B3A5B2A4B2A13B.F$F.20BABABA6BA4BA11B.F.20B3ABAB2AB5A2BA11B.F.19B2A
6BA20B.F.10BA8B2A3BAB2ABA3B2A13B.F$F.10B2A7BA5B4ABA3B2A12B.F.10B2A6B
2A3BAB3AB3A2BABA11B.F.9B3A6BA4B3ABABA4BA13B.F.9B2A8B2A2BABA3BA18B.F$F
.10BABA4BAB2ABA3BA3BA3BABA11B.F.9B2A6BAB3A12BA13B.F.9BA6BA4BA2B2A3B3A
2BA13B.F.9BABA3B3A3BA3BA3B2A3B2A12B.F$F.10BA5BABA3BA3B2AB3A16B.F.11BA
4B4ABABA2B3A3BAB2A12B.F.10BA4B2A4B2A4BA7BA12B.F.15B2A4B4A2BA4BA15B.F$
F.13BABA8B2A2BAB2ABABA12B.F.14BABABA5BA8B2A13B.F.12B2A2BABA5BAB4AB2A
15B.F.12B2A2B2A2B2A2BAB3A2B3A14B.F$F.13BA3B2A2BA3B3ABA2BABA13B.F.12B
2A2BA3B3AB2A3B2ABABA13B.F.13BABA3BABAB3A6BABA13B.F.12B3A5BA6BA4BA15B.
F$F.13BABA4B3A4B2A3BA15B.F.18BA14BA14B.F.21BAB3A3B2A2BA14B.F.19BA3BA
5BA3BA14B.F$F.12B3A4B2AB4AB3A18B.F.4BA19BA4BA18B.F.3B2A12B3A5B2ABA19B
.F.3B2A5B2A5BAB2AB2AB2ABA19B.F$F.3B3A5BABA5B4A4BA20B.F.3B2A5B2A4BAB2A
2BA2B3ABA18B.F.3BABA3B4ABABAB2A3BA3B2A19B.F.2B2A6B3AB2A6B2A3B3A18B.F$
F.3BA6B2AB5A6BA5BA17B.F.3BABA2B2ABAB4AB2A3BAB2A21B.F.3BA3BA5B2A5B2AB
3A3BA18B.F.4BA2B2A5BA2BAB3A3B2A2BA18B.F$F.4BA2B3ABA7BAB2A2B2A21B.F.7B
3AB3A2B3A2B2A5B2A18B.F.6B2A3BABA2BA5B2ABA3BA18B.F.6B2A3BAB3ABA3BA3B2A
B3A17B.F$F.6BA7BA3BA3B2AB5A2BA15B.F.6BA2B2A7BA4BABAB3A18B.F.7BAB4A3BA
BA4B2A2BA2BA17B.F.6B3A5B2A2B2A3BA6B2A16B.F$F.7BABA3BA5B3ABA5BA18B.F.
15BA3B3ABA5BA3BA14B.F.11BAB2A3B2ABA3B2A4B2A15B.F.13BABA4BA2BAB3A3B3A
14B.F$F.11B4ABA4BA2BAB2A4BABA13B.F.9B2AB3A4BAB4ABABAB3A15B.F.8B5A3BAB
2A4BA3BA3B2A14B.F.8B5A7BA3BA4BA3BA14B.F$F.8B2A10BA3B2A3BAB2ABA13B.F.
8B2A2B3AB2A3B2A4B2AB2A2BA13B.F.8BA5B2A2BA6B2ABABA2BA14B.F.7B2AB2AB2A
3BA5BABABA2BA16B.F$F.8BA6B2ABA3B2ABA2BA2BABA14B.F.10B3A6BA2B2ABA2BA4B
A14B.F.7BA6BAB2A2BA3BABAB2A2B3A13B.F.7BA5B2AB2A3B4ABA4BA16B.F$F.7B2AB
4A5BA3BABABA3B2A15B.F.7B4A2BA3BABA2B2A3BA5BA14B.F.8B3ABA8B3A3B2A3B3A
13B.F.7BA2BA3B4A5BA2BA3BA17B.F$F.11B2A5B2A7BABAB2A15B.F.18B3A4BABA2BA
2BA14B.F.8B2A3B2A2BA2B3A4BA2B2ABA14B.F.10B2A2BA4BA4BA2B4A3BA13B.F$F.
11B2A2BA4BA3B2AB2A3BA15B.F.13B2A3BA2BA4B2ABAB2A15B.F.7B2A3B2A4BAB5A5B
3A15B.F.17B2ABA2BA3BAB2A17B.F$F.10B2ABABA3B3A6BA19B.F.6B4ABAB4ABA3B3A
B2A20B.F.7B2A3B2A4BA7BABA4B3A12B.F.8BABAB3A6BA9B2A15B.F!

Cutting the NW edge one more increment (namely one more half diagonal in just two of the four generations) is unsolvable. Similar fiddling with the other grandparent cell produces:

Code: Select all

x = 173, y = 35, rule = LifeHistory
F.40B.F.40B.F.40B.F.40B.F$F.40B.F.40B.F.40B.F.40B.F$F.40B.F.40B.F.40B
.F.40B.F$F.40B.F.40B.F.40B.F.40B.F$F.40B.F.40B.F.40B.F.40B.F$F.18B2A
20B.F.19BA20B.F.16BA23B.F.16B4A20B.F$F.16BA3BA2BA16B.F.15B3A2BAB2A16B
.F.15BAB4A2B2A15B.F.15B4A2B3ABA14B.F$F.15B2A3B3ABA15B.F.15B2A2BA4B2A
14B.F.14BA4B3AB3A14B.F.13B2A6B2A17B.F$F.14BA5B3AB2A14B.F.14BABA3BA4BA
14B.F.13B2AB2A2BA3B2A14B.F.13B2AB4A5BA14B.F$F.14BA2BA5B2A15B.F.11BAB
2ABA4BA18B.F.11BA4B2A3B2A17B.F.4BA5BA4B2AB3ABABA15B.F$F.4B2A4B3A2B2A
6BABA14B.F.4B2A4BAB2ABA2BA3B2A16B.F.3B3A3B2A7BABAB2A16B.F.3B2A4B3A5BA
B2AB2A16B.F$F.4BABA3BABA3B3A4BA16B.F.3B2A4B2ABA2B6ABABA15B.F.3BA4BABA
9BA3BA15B.F.3BABA4BA3BA4BA2BA17B.F$F.4BA4BA9B3A18B.F.5BA2B2A2B2AB2AB
3AB3A15B.F.4BA8B3A6BA17B.F.8B3A3BA7B2A16B.F$F.7BABAB2ABABA6B2A15B.F.
7BABAB2A6B2A2B3A14B.F.7BABABA9B2A2BA14B.F.6B3A3BA3BA6BA16B.F$F.7B3ABA
6BA5B2A14B.F.6B2ABABAB7A6BA13B.F.6B2A5B3ABA3B2A3BA13B.F.5BA4BABABABAB
A4BA2BA13B.F$F.6BA3BA2BABABAB2A3B2AB2A11B.F.11B2A2BABA2B2AB4A13B.F.4B
2AB2A2BA5BAB2A2BA3BA12B.F.3B3AB2A3B2ABAB2AB2ABA2B2A12B.F$F.3B2A3B3A2B
AB2A2B2ABA17B.F.3B3ABA2BA2BABA8B3A13B.F.2B2ABA7BA2BA6BA3BA12B.F.2B2AB
3ABA2BA3BA5B3AB2A12B.F$F.3BA2BA3BAB2A3B2A2BA3BA14B.F.2B2AB2A5B2A4BA6B
ABA12B.F.2BA5B2A2BA2BA7BA3B2A11B.F.2BA5B2A2BAB2A5BABA2BA13B.F$F.3BABA
B4A3BABABA2B2A2B4A11B.F.4BAB3ABABAB2A5B2AB2AB2A11B.F.3B2A3BA3BABA3BAB
3A4B2A11B.F.3BA12B2ABAB2A6BA10B.F$F.8BA2BA2BA3B3A3BA2BABA10B.F.7BA3BA
6B3A2B3A4BA9B.F.6B2AB8ABA6B2A2BA10B.F.7B4A3B3ABABABA3B3A11B.F$F.9B3A
4BA4BABA4B3A9B.F.9BA2BA2BABAB2A2BA6BA9B.F.11B2A4BA2BA2BA7BA8B.F.9BA7B
2A11BA9B.F$F.10B2A4BA7B5A3BA7B.F.12BA3B2A6B4A4B2A6B.F.10BAB2ABABA6B3A
4BA8B.F.17B2A4B3A5B2A7B.F$F.9BABA5BA7BA3B2AB2A6B.F.9BAB2A2BABA12BA9B.
F.8B6ABA2BA5BA3B2ABA8B.F.8B3A2BABA2B2ABA5B3ABA8B.F$F.5BA3BA3B2AB2A5BA
BAB2AB4A6B.F.4B2A2B2A4BAB2A6BAB3ABA9B.F.4B2ABA7B4AB3AB2ABA2BA9B.F.3B
3A2B5AB2A2B2ABA5B2A11B.F$F.4B2A3BA2B3ABA5BA5BA3BA7B.F.4BABAB2A9B6A5BA
B2A6B.F.3B2A12BA6B3A3B2A8B.F.3BA11BAB2A2BAB2A5B2A8B.F$F.4BABA2BABABA
2B6ABA4B2A10B.F.4BA3B2ABA6B4ABA3B3A10B.F.5BABA4BABA12B3A10B.F.4BA3BA
3BABA12BA12B.F$F.9B2A3B2ABA4BA4BA3BA8B.F.9BABAB3ABAB2A3BA3BA11B.F.8B
2ABAB2A2BA6B2A2B2A10B.F.8B2ABA2B2A5B2AB3A2BA10B.F$F.11BABA8B2ABA14B.F
.10BA2BA4BA3B3ABA13B.F.10B2ABA2BA3B5A2BA12B.F.7B3A3B2ABABA2B2ABAB3A
11B.F$F.7BA6B2ABABA5BA3BA10B.F.6B2A4BA4B2A2BA4BA13B.F.6B2A3B2A4B2A3BA
3BA13B.F.6B4A6B3A3BA3BA13B.F$F.6B2A5B5A2BAB2A3BA12B.F.5BA2BA3B2A3BA6B
2A14B.F.5BA2B2A2B2A3BAB2A3B2A14B.F.4B2A3BABABA3BABA3B3A14B.F$F.5B2ABA
B2ABA3BA7B2A13B.F.5BA2BAB2A7B2A2BA2B3A11B.F.4B2AB2A4BA4BA4BA2B3A11B.F
.3BABA7BA4B6A2B3A11B.F$F.4BA2BA3B2ABA2B2AB3A5B2A10B.F.4BA3B4A2BA2BA4B
ABA2BA12B.F.3B2A2B2A3BA8B2ABA4BA10B.F.3B3A5B2AB2ABA4B2AB2A2BA10B.F$F.
4BABABA4BA4B4A2B3A13B.F.3B2ABA2BABA4BA5BABABAB2A10B.F.7BA3B2AB3ABA7BA
BA11B.F.6B3A5B3A10BA12B.F$F.4BA2B3A2B2ABABA7B2ABA11B.F.3B2A3B2A3BABAB
2A7BA13B.F.6BA4B2A2BA5B2ABABA13B.F.4BA3BA3BA7B4A2BA13B.F$F.4B3A4BABAB
2A3B2A2BA3BA11B.F.4BAB2AB3A4B5AB2ABA2B2A10B.F.3B5AB2A3B2A4B2A2BA2BA
12B.F.3B2A3B6A5B2AB2A4BA11B.F!

Both of these are obviously quite wide but they might still be solvable given more memory to work with.

How much if any better are these than the above solved sparker? Should I make a note to follow up when a computer with more memory is freed up? Just forget it? Make some different/further changes to constraint files?

amling · Post by **amling** » January 23rd, 2024, 6:52 pm

amling wrote: ↑

January 21st, 2024, 4:50 am

Searches for more c/4d eaters are underway. I forwarded a partial from an earlier stage of the pipeline for beehives in one orientation but wasn't able to quickly complete it. Here it shows 9 Y rows of strict c/4d but I would not say the partial is particularly healthy-looking due to how outrageously wide it is:

Code: Select all

x = 673, y = 29, rule = LifeHistory
F41.F41.F41.F41.F41.F41.F41.F41.F41.F41.F41.F41.F.19BA16B4.F.19BA16B
4.F.19BA16B4.F.19BA16B4.F$F41.F41.F41.F41.F41.F41.F41.F41.F2.17BABA
16B3.F2.17BABA16B3.F2.17BABA16B3.F2.17BABA16B3.F.18BABA15B4.F.18BABA
15B4.F.18BABA15B4.F.18BABA15B4.F$F41.F41.F41.F41.F3.16BABA17B2.F3.16B
ABA17B2.F3.16BABA17B2.F3.16BABA17B2.F2.17BABA16B3.F2.17BABA16B3.F2.
17BABA16B3.F2.17BABA16B3.F.18BABA15B4.F.18BABA15B4.F.18BABA15B4.F.18B
ABA15B4.F$F4.36B.F4.16BA19B.F4.16BA19B.F4.16BA19B.F3.17BA18B2.F3.17BA
18B2.F3.17BA18B2.F3.17BA18B2.F2.18BA17B3.F2.18BA17B3.F2.18BA17B3.F2.
18BA17B3.F.19BA16B4.F.19BA16B4.F.19BA16B4.F.19BA16B4.F$F4.20BA15B.F4.
20BA15B.F4.20BA15B.F4.20BA15B.F3.21BA14B2.F3.21BA14B2.F3.21BA14B2.F3.
21BA14B2.F2.22BA13B3.F2.22BA13B3.F2.22BA13B3.F2.22BA13B3.F.23BA12B4.F
.23BA12B4.F.23BA12B4.F.23BA12B4.F$F4.19BABA14B.F4.19BABA14B.F4.19BABA
14B.F4.19BABA14B.F3.20BABA13B2.F3.20BABA13B2.F3.20BABA13B2.F3.20BABA
13B2.F2.21BABA12B3.F2.21BABA12B3.F2.21BABA12B3.F2.21BABA12B3.F.22BABA
11B4.F.22BABA11B4.F.22BABA11B4.F.22BABA11B4.F$F4.19BABA14B.F4.19BABA
14B.F4.19BABA14B.F4.19BABA14B.F3.20BABA13B2.F3.20BABA13B2.F3.20BABA
13B2.F3.20BABA13B2.F2.21BABA12B3.F2.21BABA12B3.F2.21BABA12B3.F2.21BAB
A12B3.F.22BABA11B4.F.22BABA11B4.F.22BABA11B4.F.17BA4BABA11B4.F$F4.20B
A15B.F4.20BA15B.F4.20BA15B.F4.20BA15B.F3.21BA14B2.F3.21BA14B2.F3.21BA
14B2.F3.21BA14B2.F2.22BA13B3.F2.22BA13B3.F2.22BA13B3.F2.17BA4BA13B3.F
.17B2A4BA12B4.F.17B2A4BA12B4.F.16B3A4BA12B4.F.16B2A5BA12B4.F$F4.24BA
11B.F4.24BA11B.F4.24BA11B.F4.24BA11B.F3.25BA10B2.F3.25BA10B2.F3.25BA
10B2.F3.17BA7BA10B2.F2.17B2A7BA9B3.F2.17B2A7BA9B3.F2.16B3A7BA9B3.F2.
16B2A8BA9B3.F.17BABA7BA8B4.F.16B2A9BA8B4.F.16BA10BA8B4.F.16BABA8BA8B
4.F$F4.23BABA10B.F4.23BABA10B.F4.23BABA10B.F4.17BA5BABA10B.F3.17B2A5B
ABA9B2.F3.17B2A5BABA9B2.F3.16B3A5BABA9B2.F3.16B2A6BABA9B2.F2.17BABA5B
ABA8B3.F2.16B2A7BABA8B3.F2.16BA8BABA8B3.F2.16BABA6BABA8B3.F.17BA8BABA
7B4.F.18BA7BABA7B4.F.17BA8BABA7B4.F.26BABA7B4.F$F4.17B2A4BABA10B.F4.
17B2A4BABA10B.F4.16B3A4BABA10B.F4.16B2A5BABA10B.F3.17BABA4BABA9B2.F3.
16B2A6BABA9B2.F3.16BA7BABA9B2.F3.16BABA5BABA9B2.F2.17BA7BABA8B3.F2.
18BA6BABA8B3.F2.17BA7BABA8B3.F2.25BABA8B3.F.20BA5BABA7B4.F.20BA5BABA
7B4.F.19BA6BABA7B4.F.19B2A5BABA7B4.F$F4.17BABA4BA11B.F4.16B2A6BA11B.F
4.16BA7BA11B.F4.16BABA5BA11B.F3.17BA7BA10B2.F3.18BA6BA10B2.F3.17BA7BA
10B2.F3.25BA10B2.F2.20BA5BA9B3.F2.20BA5BA9B3.F2.19BA6BA9B3.F2.19B2A5B
A9B3.F.19BABA5BA8B4.F.19BA7BA8B4.F.18B3A6BA8B4.F.18B3A2BA3BA8B4.F$F4.
17BA10BA7B.F4.18BA9BA7B.F4.17BA10BA7B.F4.28BA7B.F3.20BA8BA6B2.F3.20BA
8BA6B2.F3.19BA9BA6B2.F3.19B2A8BA6B2.F2.19BABA8BA5B3.F2.19BA10BA5B3.F
2.18B3A9BA5B3.F2.18B3A2BA6BA5B3.F.19BA3B2A6BA4B4.F.18B2A3B2A11B4.F.
22B3A11B4.F.18BABAB2A12B4.F$F4.20BA6BABA6B.F4.20BA6BABA6B.F4.19BA7BAB
A6B.F4.19B2A6BABA6B.F3.19BABA6BABA5B2.F3.19BA8BABA5B2.F3.18B3A7BABA5B
2.F3.18B3A2BA4BABA5B2.F2.19BA3B2A4BABA4B3.F2.18B2A3B2A4BABA4B3.F2.22B
3A4BABA4B3.F2.18BABAB2A5BABA4B3.F.19BABABA8BA3B4.F.18B3AB2A7B2A3B4.F.
17BA2BABA13B4.F.22BAB2A10B4.F$F4.19BABA5BABA6B.F4.19BA7BABA6B.F4.18B
3A6BABA6B.F4.18B3A2BA3BABA6B.F3.19BA3B2A3BABA5B2.F3.18B2A3B2A3BABA5B
2.F3.22B3A3BABA5B2.F3.18BABAB2A4BABA5B2.F2.19BABABA5BABA4B3.F2.18B3AB
2A5BABA4B3.F2.17BA2BABA6BABA4B3.F2.22BAB2A5BA4B3.F.18BA6BA5BA4B4.F.
18BABABA2BA10B4.F.20BABA2B2A9B4.F.17B3A2B2A12B4.F$F4.19BA3B2A3BA7B.F
4.18B2A3B2A3BA7B.F4.22B3A3BA7B.F4.18BABAB2A4BA7B.F3.19BABABA5BA6B2.F
3.18B3AB2A5BA6B2.F3.17BA2BABA6BA6B2.F3.22BAB2A3BA6B2.F2.18BA6BA4BA5B
3.F2.18BABABA2BA4BA5B3.F2.20BABA2B2AB3A5B3.F2.17B3A2B2A3BA8B3.F.18BAB
A2BAB3A8B4.F.17B3A4B2ABA8B4.F.17B2A4BA12B4.F.17B2ABABA3B2A8B4.F$F4.
19BABABA12B.F4.18B3AB2A12B.F4.17BA2BABA13B.F4.22BAB2A10B.F3.18BA6BA
10B2.F3.18BABABA2BA10B2.F3.20BABA2B2A9B2.F3.17B3A2B2A12B2.F2.18BABA2B
AB3A8B3.F2.17B3A4B2ABABA6B3.F2.17B2A4BA4B2A6B3.F2.17B2ABABA3BA9B3.F.
9BA7BA3BA5B3A6B4.F.4BA3B2A10B2A2B2A2BA7B4.F.3B2A3B2A7B2AB2A5B2A7B4.F.
3B2A2B3A2BA4B2AB3ABA2B2A7B4.F$F4.18BA6BA10B.F4.18BABABA2BA10B.F4.20BA
BA2B2A9B.F4.17B3A2B2A12B.F3.18BABA2BAB3A8B2.F3.17B3A4B2ABA8B2.F3.17B
2A4BA12B2.F3.17B2ABABA3B2A8B2.F2.9BA7BA3BA5B3A6B3.F2.4BA3B2A10B2A2B2A
2BA7B3.F2.3B2A3B2A7B2AB2A5BABA6B3.F2.3B2A2B3A2BA4B2AB3ABA2BABA6B3.F.
3B3A2B2A3B2A6BABA2BA9B4.F.3B2A3BA3B2A2BA3BA2B2A2BABA6B4.F.3BABAB2A2B
3A6BA2BAB3A8B4.F.2B2A3BA3BAB2A3BA3BA3B3A7B4.F$F4.18BABA2BAB3A8B.F4.
17B3A4B2ABA8B.F4.17B2A4BA12B.F4.17B2ABABA3B2A8B.F3.9BA7BA3BA5B3A6B2.F
3.4BA3B2A10B2A2B2A2BA7B2.F3.3B2A3B2A7B2AB2A5B2A7B2.F3.3B2A2B3A2BA4B2A
B3ABA2B2A7B2.F2.3B3A2B2A3B2A6BABA2BA9B3.F2.3B2A3BA3B2A2BA3BA2B2A2BABA
6B3.F2.3BABAB2A2B3A6BA2BAB3A8B3.F2.2B2A3BA3BAB2A3BA3BA3B3A7B3.F.3BA4B
AB2AB4A2BA3B2A4BA6B4.F.3BABA2BABABA3BA4BABA3BA8B4.F.3BA5BAB3AB3A2B2A
14B4.F.4BA4BA4BABA2B2A4B2A9B4.F$F4.9BA7BA3BA5B3A6B.F4.4BA3B2A10B2A2B
2A2BA7B.F4.3B2A3B2A7B2AB2A5B2A7B.F4.3B2A2B3A2BA4B2AB3ABA2B2A7B.F3.3B
3A2B2A3B2A6BABA2BA9B2.F3.3B2A3BA3B2A2BA3BA2B2A2BABA6B2.F3.3BABAB2A2B
3A6BA2BAB3A8B2.F3.2B2A3BA3BAB2A3BA3BA3B3A7B2.F2.3BA4BAB2AB4A2BA3B2A4B
A6B3.F2.3BABA2BABABA3BA4BABA3BA8B3.F2.3BA5BAB3AB3A2B2A14B3.F2.4BA4BA
4BABA2B2A4B2A9B3.F.4BA9B3A3B2ABAB3A8B4.F.16BA3BAB2A2B3A7B4.F.6B2AB2AB
A7BAB3A11B4.F.6BA13BAB3A11B4.F$F4.3B3A2B2A3B2A6BABA2BA9B.F4.3B2A3BA3B
2A2BA3BA2B2A2BABA6B.F4.3BABAB2A2B3A6BA2BAB3A8B.F4.2B2A3BA3BAB2A3BA3BA
3B3A7B.F3.3BA4BAB2AB4A2BA3B2A4BA6B2.F3.3BABA2BABABA3BA4BABA3BA8B2.F3.
3BA5BAB3AB3A2B2A14B2.F3.4BA4BA4BABA2B2A4B2A9B2.F2.4BA9B3A3B2ABAB3A8B
3.F2.16BA3BAB2A2B3A7B3.F2.6B2AB2ABA7BAB3A11B3.F2.6BA13BAB3A11B3.F.6BA
2B3ABA10B2A2BA7B4.F.6B2A2B2ABA6BA4BAB2A7B4.F.5BA3B3AB5A7BA10B4.F.5BA
2B2AB10A4B2ABA7B4.F$F4.3BA4BAB2AB4A2BA3B2A4BA6B.F4.3BABA2BABABA3BA4BA
BA3BA8B.F4.3BA5BAB3AB3A2B2A14B.F4.4BA4BA4BABA2B2A4B2A9B.F3.4BA9B3A3B
2ABAB3A8B2.F3.16BA3BAB2A2B3A7B2.F3.6B2AB2ABA7BAB3A11B2.F3.6BA13BAB3A
11B2.F2.6BA2B3ABA10B2A2BA7B3.F2.6B2A2B2ABA6BA4BAB2A7B3.F2.5BA3B3AB5A
7BA10B3.F2.5BA2B2AB10A4B2ABA7B3.F.5B3A4B2AB4A2B3A5BA6B4.F.5B5AB4AB2A
4B3A3B2A6B4.F.5BA8BA2B2AB2AB3AB3A6B4.F.4B2A6BABA3B2A3BAB3ABA6B4.F$F4.
4BA9B3A3B2ABAB3A8B.F4.16BA3BAB2A2B3A7B.F4.6B2AB2ABA7BAB3A11B.F4.6BA
13BAB3A11B.F3.6BA2B3ABA10B2A2BA7B2.F3.6B2A2B2ABA6BA4BAB2A7B2.F3.5BA3B
3AB5A7BA10B2.F3.5BA2B2AB10A4B2ABA7B2.F2.5B3A4B2AB4A2B3A5BA6B3.F2.5B5A
B4AB2A4B3A3B2A6B3.F2.5BA8BA2B2AB2AB3AB3A6B3.F2.4B2A6BABA3B2A3BAB3ABA
6B3.F.9BA19BA6B4.F.5BABAB2ABA5B3A3BA11B4.F.4BA4B2ABA5BA5BA3B2A6B4.F.
4B3A2B4A2BAB3ABA3B2A9B4.F$F4.6BA2B3ABA10B2A2BA7B.F4.6B2A2B2ABA6BA4BAB
2A7B.F4.5BA3B3AB5A7BA10B.F4.5BA2B2AB10A4B2ABA7B.F3.5B3A4B2AB4A2B3A5BA
6B2.F3.5B5AB4AB2A4B3A3B2A6B2.F3.5BA8BA2B2AB2AB3AB3A6B2.F3.4B2A6BABA3B
2A3BAB3ABA6B2.F2.9BA19BA6B3.F2.5BABAB2ABA5B3A3BA11B3.F2.4BA4B2ABA5BA
5BA3B2A6B3.F2.4B3A2B4A2BAB3ABA3B2A9B3.F.4BA2BAB2A2B4ABAB2AB2A11B4.F.
5B3A6B3A2B4A5BA7B4.F.5BAB3A2B4A6B2A3B2A7B4.F.3BA3BAB2A4B2A5BABA2BABA
6B4.F$F4.5B3A4B2AB4A2B3A5BA6B.F4.5B5AB4AB2A4B3A3B2A6B.F4.5BA8BA2B2AB
2AB3AB3A6B.F4.4B2A6BABA3B2A3BAB3ABA6B.F3.9BA19BA6B2.F3.5BABAB2ABA5B3A
3BA11B2.F3.4BA4B2ABA5BA5BA3B2A6B2.F3.4B3A2B4A2BAB3ABA3B2A9B2.F2.4BA2B
AB2A2B4ABAB2AB2A11B3.F2.5B3A6B3A2B4A5BA7B3.F2.5BAB3A2B4A6B2A3B2A7B3.F
2.3BA3BAB2A4B2A5BABA2BABA6B3.F.4BAB2AB2A4BA4B2A4B2ABA6B4.F.3B2A5B2ABA
5B2A2BA3B2A7B4.F.3B5A4B2AB2A5B2A3BA8B4.F.3BA11B2A2BA9BA6B4.F$F4.9BA
19BA6B.F4.5BABAB2ABA5B3A3BA11B.F4.4BA4B2ABA5BA5BA3B2A6B.F4.4B3A2B4A2B
AB3ABA3B2A9B.F3.4BA2BAB2A2B4ABAB2AB2A11B2.F3.5B3A6B3A2B4A5BA7B2.F3.5B
AB3A2B4A6B2A3B2A7B2.F3.3BA3BAB2A4B2A5BABA2BABA6B2.F2.4BAB2AB2A4BA4B2A
4B2ABA6B3.F2.3B2A5B2ABA5B2A2BA3B2A7B3.F2.3B5A4B2AB2A5B2A3BA8B3.F2.3BA
11B2A2BA9BA6B3.F.4B2AB2A3BA3B2A4BA5BA7B4.F.3BA4BA4BA3BABA4BA3B2A6B4.F
.4BA3BABABA5B3ABA3B4A6B4.F.4BAB2AB2ABA8B7A8B4.F$F4.4BA2BAB2A2B4ABAB2A
B2A11B.F4.5B3A6B3A2B4A5BA7B.F4.5BAB3A2B4A6B2A3B2A7B.F4.3BA3BAB2A4B2A
5BABA2BABA6B.F3.4BAB2AB2A4BA4B2A4B2ABA6B2.F3.3B2A5B2ABA5B2A2BA3B2A7B
2.F3.3B5A4B2AB2A5B2A3BA8B2.F3.3BA11B2A2BA9BA6B2.F2.4B2AB2A3BA3B2A4BA
5BA7B3.F2.3BA4BA4BA3BABA4BA3B2A6B3.F2.4BA3BABABA5B3ABA3B4A6B3.F2.4BAB
2AB2ABA8B7A8B3.F41.F41.F41.F41.F$F4.4BAB2AB2A4BA4B2A4B2ABA6B.F4.3B2A
5B2ABA5B2A2BA3B2A7B.F4.3B5A4B2AB2A5B2A3BA8B.F4.3BA11B2A2BA9BA6B.F3.4B
2AB2A3BA3B2A4BA5BA7B2.F3.3BA4BA4BA3BABA4BA3B2A6B2.F3.4BA3BABABA5B3ABA
3B4A6B2.F3.4BAB2AB2ABA8B7A8B2.F41.F41.F41.F41.F41.F41.F41.F41.F$F4.4B
2AB2A3BA3B2A4BA5BA7B.F4.3BA4BA4BA3BABA4BA3B2A6B.F4.4BA3BABABA5B3ABA3B
4A6B.F4.4BAB2AB2ABA8B7A8B.F41.F41.F41.F41.F41.F41.F41.F41.F41.F41.F
41.F41.F!

I tried a bit but I don't think I'm gonna be able to solve this until I can free up more memory. An example further partial, trying to split it up but alas both branches are quite large and one oriented a less good direction:

Code: Select all

x = 56, y = 52, rule = B3/S23
30bo$29bobo$29bobo$30bo$34bo$33bobo$33bobo$34bo$38bo$37bobo$37bobo$38b
o$42bo$41bobo$41bobo$42bo$37b2o7bo$37bobo5bobo$37bo7bobo$o10bo28bo5bo$
2obo3bob2o2bo3bobo19bobo8bo$2b3o3bo4bo2b2obo19bo3b2o4bobo$o4bo2bo6bo4b
o18bobobo5bobo$4b2o2b2o3bo3bo20bo6bo4bo$o2bo6b4o8b3o13bobo2bob3o$ob2o
3bo2bobo2bo2b2obo7bo7bo3bo5b3o$3bo3bo8b2o6bo3b2o3b2o6bobo2bo$2b3ob2obo
2b2o3bo3bobo4bob2ob4o2bo3b2o4bo$3b2o5b3o5bo2bo2bo9b3o3b2obob3o$bo6bobo
bob2o3b4o3bo2b3obo10b2o2bo$2bo3b2o3bobo3b2o3bo3b2o4b2ob4o2b3o5bo$12bo
5bo10bo21bo$3b3o2b3obo4b2o8bob2o2b3o2bob2ob2obob2obo$o2bo4b3o4bo2b2ob
4ob4obo3bobo2bo2b3o3bo3b3o$3b4o6b4o2bob4obo2b2o7b3o3b2o4bo$4o3b2o3b2ob
2o2b3ob2ob2o20b2obo3bo$2o6bo29bo8bobobo$37bo2b2obo2bo4bo2bo$36b2ob2o2b
o2bo4bobo$37bobo5b2o3bo$37bob2o3b2obo2bo$36b2obob2ob2obo4bo$47b2o3b2o$
35bo3bo4b2obo4bobo$36b2obo8bob2ob3o$36bo6b2obo6b2o$37b2obob2o7bo$36bo
7b2o2b3obo$36bob3o2bo4b2ob2obo$35bob3o2b2o2bobobo3b2o$35bo4bobobo5bo3b
2o$35b2o6b3obobo3bo!

The downward branch can be split in an obvious place but the individual branches weren't doing that much better.

amling · Post by **amling** » January 23rd, 2024, 9:32 pm

I can't quite do a real wildcard spine at c/6 s2s but I could do very limited ones (gutter or odd with very short front-to-back distance). I tried looking for parallel stripes fronts hoping to reach a symmetric end to get a level front, but no luck. Longest partial was for the extremely obvious gutter start anyway:

Code: Select all

x = 127, y = 27, rule = LifeHistory
F.8B10A.F.5BA2B10A.F20.F20.F20.F20.F$F.4BABA11B.F.4B3A11B.F.18B.F.6B
2A10B.F.4B4A10B.F.2BA2B3A10B.F$F.3BABAB11A.F.3BABAB11A.F.2BA4B11A.F.
8B10A.F.6BAB10A.F.4BA3B10A.F$F.3BA3BA10B.F.2B3A13B.F.5BA12B.F.3BA2BA
11B.F.3BA2BA11B.F.2B3A13B.F$F.2BA3B12A.F.2B2A2B12A.F.2BABA2B11A.F.3B
15A.F.2B2AB13A.F.2B2AB13A.F$F.3BA14B.F.18B.F.3BA2BA11B.F.3BA14B.F.3BA
14B.F.2B2ABA12B.F$F.5BAB11A.F.4BA2B11A.F.8B10A.F.5BA2B10A.F.5BAB11A.F
.4BAB12A.F$F.5BABA10B.F.5BA12B.F.5B3A10B.F.4B4A10B.F.4BA2BA10B.F.4BA
13B.F$F.3BAB2AB10A.F.4B2A2B10A.F.3BABA2B10A.F.5BA2B10A.F.3BA3B11A.F.
2B3A2B11A.F$F.2BA4BA10B.F.2B2ABABA10B.F.3BA3BA10B.F.2B2ABA12B.F.2B2A
14B.F.2B2A2BA11B.F$F.3BABA2B10A.F.4BABAB10A.F.3B2AB12A.F.3B15A.F.6B
12A.F.2B2A3B11A.F$F.5BA12B.F.5BA12B.F.4BA13B.F.3B2A13B.F.3BA14B.F.4BA
13B.F$F.5B13A.F.5B13A.F.5B13A.F.5B13A.F.4B14A.F.4B14A.F$F.18B.F.18B.F
.18B.F.18B.F.18B.F.18B.F$F.5B13A.F.5B13A.F.5B13A.F.5B13A.F.4B14A.F.4B
14A.F$F.5BA12B.F.5BA12B.F.4BA13B.F.3B2A13B.F.3BA14B.F.4BA13B.F$F.3BAB
A2B10A.F.4BABAB10A.F.3B2AB12A.F.3B15A.F.6B12A.F.2B2A3B11A.F$F.2BA4BA
10B.F.2B2ABABA10B.F.3BA3BA10B.F.2B2ABA12B.F.2B2A14B.F.2B2A2BA11B.F$F.
3BAB2AB10A.F.4B2A2B10A.F.3BABA2B10A.F.5BA2B10A.F.3BA3B11A.F.2B3A2B11A
.F$F.5BABA10B.F.5BA12B.F.5B3A10B.F.4B4A10B.F.4BA2BA10B.F.4BA13B.F$F.
5BAB11A.F.4BA2B11A.F.8B10A.F.5BA2B10A.F.5BAB11A.F.4BAB12A.F$F.3BA14B.
F.18B.F.3BA2BA11B.F.3BA14B.F.3BA14B.F.2B2ABA12B.F$F.2BA3B12A.F.2B2A2B
12A.F.2BABA2B11A.F.3B15A.F.2B2AB13A.F.2B2AB13A.F$F.3BA3BA10B.F.2B3A
13B.F.5BA12B.F.3BA2BA11B.F.3BA2BA11B.F.2B3A13B.F$F.3BABAB11A.F.3BABAB
11A.F.2BA4B11A.F.8B10A.F.6BAB10A.F.4BA3B10A.F$F.4BABA11B.F.4B3A11B.F.
18B.F.6B2A10B.F.4B4A10B.F.2BA2B3A10B.F$F.8B10A.F.5BA2B10A.F20.F20.F
20.F20.F!

NooneAtAll3 · Post by **NooneAtAll3** » January 24th, 2024, 5:45 am

how hard would it be to search for oscillators with low heat? (low amount of cells changed per generation)

"that Burloaferimeter is the only known oscillator with a heat lower than 2?" dyk on wiki's frontpage seems like an interesting challenge

amling · Post by **amling** » January 24th, 2024, 4:20 pm

NooneAtAll3 wrote: ↑
January 24th, 2024, 5:45 am
how hard would it be to search for oscillators with low heat? (low amount of cells changed per generation)

"that Burloaferimeter is the only known oscillator with a heat lower than 2?" dyk on wiki's frontpage seems like an interesting challenge

Maybe. It is complicated by a few issues...

One is that heat is sort of an unnatural metric. Sum of changes is somewhat more additive and given that LLSSS searches would certainly have to know their period it's going to be a fixed ratio between them anyway.

The bigger problem is perhaps that the more uniform notion of "period N oscillator" includes still lifes which have zero changes and so need to somehow be ruled out. Still life wildcard start state plus a single forced change in the first row (or later rows maybe if we get false hits with unsolvable initial still lifes) can hack it but it's ugly and may or may not perform usefully.

And the biggest problem is of course performance of these hacks is probably gonna be pretty crummy at higher periods just like the min pop stuff. I guess we'll see what happens...

Run at p2 with 3 changes (heat 1.5) it finds nothing. With 4 changes (heat 2) it finds beacon (first).

Run at p3 with 5 changes it finds nothing. With 6 changes it finds this (obviously solvable, possible solution pasted on top) first:

Code: Select all

x = 46, y = 9, rule = LifeHistory
7.2A13.2A13.2A$7.2A13.2A13.2A$F.2BA9B.F.2BA9B.F.2BA9B.F$F.2B7A3B.F.2B
7A3B.F.2B7A3B.F$F.9BA2B.F.6BA2BA2B.F.9BA2B.F$F.4BA3B2A2B.F.4B2A2B2A2B
.F.4BABAB2A2B.F$F.4B2A6B.F.4B2A6B.F.4B2A6B.F$F.12B.F.12B.F.12B.F$F.
12B.F.12B.F.12B.F!

p4: 7 changes -> nothing. 8 changes -> beacon.

p5: 9 changes -> nothing. 10 changes -> this (similarly solvable, eventually I figured out the rotor is called "technician") first:

Code: Select all

x = 91, y = 14, rule = LifeHistory
8.2A16.2A16.2A16.2A16.2A$8.A17.A17.A17.A17.A$10.A17.A17.A17.A17.A$6.
5A2.A10.5A2.A10.5A2.A10.5A2.A10.5A2.A$F.3BA5B3A3B.F.3BA5B3A3B.F.3BA5B
3A3B.F.3BA5B3A3B.F.3BA5B3A3B.F$F.2BA2B3A7B.F.2BA2B3A7B.F.2BA2B3A7B.F.
2BA2B3A7B.F.2BA2B3A7B.F$F.2B3A3B2A5B.F.2B3A2B3A5B.F.2B3A3B2A5B.F.2B3A
3B2A5B.F.2B3A3B2A5B.F$F.5BA4BA4B.F.5B2A3BA4B.F.5B2A3BA4B.F.5B3A2BA4B.
F.5B3A2BA4B.F$F.2B2ABABABABA3B.F.2B2ABA2B2ABA3B.F.2B2ABA2B2ABA3B.F.2B
2ABA2B2ABA3B.F.2B2ABAB3ABA3B.F$F.2BA2BA3BA2BA2B.F.2BA2BA3BA2BA2B.F.2B
A2BA3BA2BA2B.F.2BA2BA3BA2BA2B.F.2BA2BA3BA2BA2B.F$F.4BAB3A2B2A2B.F.4BA
B3A2B2A2B.F.4BAB3A2B2A2B.F.4BAB3A2B2A2B.F.4BAB3A2B2A2B.F$F.3B2ABA8B.F
.3B2ABA8B.F.3B2ABA8B.F.3B2ABA8B.F.3B2ABA8B.F$F.15B.F.15B.F.15B.F.15B.
F.15B.F$F.15B.F.15B.F.15B.F.15B.F.15B.F!

I will fill in more results below as more runs complete...

EDITS:

p6: 11 changes -> nothing (86s, ~1.3GB). 12 changes will be able to find beacon at least so I'm not running it.

p7: 9 changes -> nothing (49s, ~962MB). 10 changes -> this (burloaferimeter rotor) first:

Code: Select all

x = 120, y = 11, rule = LifeHistory
6.2A15.2A15.2A15.2A15.2A15.2A15.2A$6.2A15.2A15.2A15.2A15.2A15.2A15.2A
$F.14B.F.14B.F.14B.F.14B.F.14B.F.14B.F.14B.F$F.2B6A6B.F.2B6A6B.F.2B6A
6B.F.2B6A6B.F.2B6A6B.F.2B6A6B.F.2B6A6B.F$F.2BA5BA5B.F.2BA3BABA5B.F.2B
A5BA5B.F.2BA5BA5B.F.2BA5BA5B.F.2BA5BA5B.F.2BA5BA5B.F$F.4BA3BA5B.F.4B
2A2BA5B.F.4B2A2BA5B.F.4B2AB2A5B.F.4B2AB2A5B.F.4B3ABA5B.F.4BABABA5B.F$
F.3B2ABABAB2A2B.F.3B2A3BAB2A2B.F.3B2A3BAB2A2B.F.3B2A3BAB2A2B.F.3B2ABA
BAB2A2B.F.3B2ABABAB2A2B.F.3B2ABABAB2A2B.F$F.2BA3BABA2BA2B.F.2BA3BABA
2BA2B.F.2BA3BABA2BA2B.F.2BA3BABA2BA2B.F.2BA3BABA2BA2B.F.2BA3BABA2BA2B
.F.2BA3BABA2BA2B.F$F.2B2AB2AB2A4B.F.2B2AB2AB2A4B.F.2B2AB2AB2A4B.F.2B
2AB2AB2A4B.F.2B2AB2AB2A4B.F.2B2AB2AB2A4B.F.2B2AB2AB2A4B.F$F.14B.F.14B
.F.14B.F.14B.F.14B.F.14B.F.14B.F$F.14B.F.14B.F.14B.F.14B.F.14B.F.14B.
F.14B.F!

p8: 11 changes -> nothing (512s, ~4.9GB). 12 changes did not complete in 8GB so now this project has to wait in line for access to real memory.

amling · Post by **amling** » January 24th, 2024, 6:21 pm

The very same trick sort of works for limiting number of rotor cells, but unfortunately issues are worse with non-prime periods and especially non-prime-power periods. E.g. a p2 oscillator is a p4 oscillator in a sense and so it requires even worse juggling of starting row wildcards to handle prime power periods. Arbitrary periods (like p6) I am not even sure what I could do for. Also, performance is terrible as usual.

p2: 1 rotor cell -> no results. 2 rotor cells -> beacon first.

p3: 2 rotor cells -> no results. 3 rotor cells -> same rotor as above.

p4: Had to switch to p2 wildcards for starting row (expensive, but doable, also may induce false positives by hiding rotor cells off screen) and slightly different forced non-p2 cell in first row. 3 rotor cells -> no results. 4 rotor cells -> this ("1-2-3-4" rotor) first:

Code: Select all

x = 69, y = 11, rule = LifeHistory
6.A16.A16.A16.A$6.3A2.2A10.3A2.2A10.3A2.2A10.3A2.2A$9.A2.A13.A2.A13.A
2.A13.A2.A$F.2B6ABA4B.F.2B6ABA4B.F.2B6ABA4B.F.2B6ABA4B.F$F.2BA6B2A3B.
F.2BA6B2A3B.F.2BA6B2A3B.F.2BA6B2A3B.F$F.4BABABA5B.F.4B2AB2A5B.F.4B2AB
2A5B.F.4B5A5B.F$F.3B2A3BA5B.F.3B2A3BA5B.F.3B2ABABA5B.F.3B2ABABA5B.F$F
.2BA3BABAB2A2B.F.2BA3BABAB2A2B.F.2BA3BABAB2A2B.F.2BA3BABAB2A2B.F$F.2B
2AB2AB2ABA2B.F.2B2AB2AB2ABA2B.F.2B2AB2AB2ABA2B.F.2B2AB2AB2ABA2B.F$F.
14B.F.14B.F.14B.F.14B.F$F.14B.F.14B.F.14B.F.14B.F!

p5: 4 rotor cells -> no results. 5 rotor cells -> technician.

p6: As noted above I don't know how to handle this. The cells before the first p6 cell could be either p2 or p3 and it's gonna be a bunch of horrible code to allow that constraint and wildcard start. Probably just gonna give up.

p7: 4 rotor cells -> no results. 5 rotor cells -> hits 8GB memory and dies, but I assume would find burloaferimeter.

p8: Would require p4 wildcard starting rows which is both rather expensive (2^24 starting 2x3x4 blocks at each u position) and would require either approx 2^(2x2x4) u positions (hopeless, would fill memory as each is big) or a rewrite of how LLSSS recentering does wildcard initialization to properly find all intermediate states (I'd like to, but it's complicated and very few projects would benefit). Again, probably not gonna do any of this.

p9: Would require p3 wildcard starting rows which are still out of range for similar reasons.

p10: similar to p6

p11: Just 3 rotor cells hits 8GB limit so I think this is gonna be beyond what I could hope to scale to, even with real memory. Note that a very simple counting argument shows p11 is going to need at least ceil(lg_2(11)) = 4 rotor cells.

Bottom line, barring bugs:

No p3 oscillator with fewer than 3 rotor cells.
No p4 oscillator with fewer than 4 rotor cells.
No p5 oscillator with fewer than 5 rotor cells.
No p7 oscillator with fewer than 5 rotor cells.

amling · Post by **amling** » January 25th, 2024, 7:59 pm

I was thinking about that horrible agarstretcher I had posted earlier and realized something like it could make a (2, 1)c/6 (higher period) "wickstretcher", but of course only for an ugly definition of wick:

Code: Select all

x = 202, y = 351, rule = B3/S23
35$38b2o$38b2o4$38bo$37bobo$36bo3bo$37b3o$35b2o3b2o11$38b2o$38b2o4$38b
o$37bobo$36bo3bo$37b3o$35b2o3b2o9$47bo$45bobo$38b2o4bobo11b2o$38b2o3bo
2bo11b2o$44bobo$45bobo$47bo$58bo$57bobo$56bo3bo$57b3o$55b2o3b2o11$58b
2o$58b2o4$58bo$57bobo$56bo3bo$57b3o$55b2o3b2o9$67bo$65bobo$58b2o4bobo
11b2o$58b2o3bo2bo11b2o$64bobo$65bobo$67bo$78bo$77bobo$76bo3bo$77b3o$
75b2o3b2o11$78b2o$78b2o4$78bo$77bobo$76bo3bo$77b3o$75b2o3b2o9$87bo$85b
obo$78b2o4bobo11b2o$78b2o3bo2bo11b2o$84bobo$85bobo$87bo$98bo$97bobo$
96bo3bo$97b3o$95b2o3b2o11$98b2o$98b2o4$98bo$97bobo$96bo3bo$97b3o$95b2o
3b2o9$107bo$105bobo$98b2o4bobo11b2o$98b2o3bo2bo11b2o$104bobo$105bobo$
107bo$118bo$117bobo$116bo3bo$117b3o$115b2o3b2o11$118b2o$118b2o4$118bo$
117bobo$116bo3bo$117b3o$115b2o3b2o11$118b2o$118b2o!

That's p120 ((40, 20)c/6), but I don't see a way to LCM together p120 from what I have in jslife-moving. It is easy enough to LCM together p48 and p60 to make p240 and some combination of filtering the p60 backrake down and doing kickbacks is clearly going to allow all 4 directions to be built from this one LCM reaction:

Code: Select all

x = 2297, y = 2129, rule = B3/S23
249$250b3o$249bo2b2o3b5o$249bo4bob4o3bo$252bo3bo$249bo10bo3bo$249b2obo
2bo2b2o4bo$249bo4bo2bo$244bob2o10bo4bo$243b2o5bo3bo5bo$242bo3bo3b2o2bo
$241b4o3bo5bo$240bo4b2o2b4o$240bo2b5o$240bo3b3ob4ob2o$242bo7bobob2o$
247b2o3b2o$247b2o3bo2b3o$246bo6bob3o$247bo7b2obo$255bobo$254bo2b2o$
253bo$252b3o$251bo2bobo$251b3o2b2o$253bo5b2o$257bob2o$258bo2bo$258b4o$
258b2o2bo$259bo2bo$255b2o2bo$254b2o2bo3bob2o$256bo2b3o2b2o$254bo2bob2o
2b2o$254bo4bo3b2o$253bo4bo4b3o$254bob2o5b3o$256bo4bo$254b3o4bo$254b2ob
3o$257b2ob2o$258bob2o$257b3obo2$261b2o$258b4o$258b2obo$257bo3bo$256b2o
4bo$256b3o3bo$255bo2bo$254b3o3bo$253bo2b2o2bobo$256bob4obo$253bo2b3o2b
obo$254bobo5b3o2bo$256b3o3bo3b2o$256bo3b3o$257bo9bo$263bo2bobo$259bob
3o2b2o$260bo3b2ob2o$267bo2bo$267bob3o$266b2o2bo$266b2o2b2obo$266b5o2bo
$266b5o$265bobo3b3o$264b3o4bo$263b3o5b3o$272bo$262bo3b2obobo$262bo6bob
obo$267b2obo2b3o$263b2ob3obobo$264bo3bobobo2bo$267b2o4bo$263bo2bo4bobo
$264b5ob2obo21b3o$266b2o4b2o20bo2b2o$271b2o2bo18bo4bo$269b4o3bo$268b2o
5bo18b3o3b2ob3o$271bo20b2obobo4bob2o$273b2o2b2o15bo2bo4bo2b2o$272b3ob
3o12bo2bo8bo$277bob2o10bo4bo2b2o2bo2bo$276bo2bobo10bob3o2b2o3b2o$276b
2obo14b2obob2obo3bo$280bo19b2ob3o$276bobob2o18bo5bo$275bo2bob2o21b3o2b
3o$275bo30bob2o$281bo19b2obo3b3o$274b2obobobo19b2o2bo2b2o$276b2ob2o22b
4o3bo$277b2o25b2obo2bo$276bo2bo22b2obobobo$277bobo25bo$276bo2bo22bo7b
2o$275bo4bo22b2o5bo$275bo3b2o23bob2o2bob2o$274bo4bo30bo3bo$274b2o3bo
23b3o5bo$275bobobob3o$277bob4obobo20b3o3bo$277b3o3b2obo16bo2bo$284bobo
15b2obo$280bobo20bob2o3b2o$277bo5b2o20b2ob4o$277b2o2bo2bo28b3o$276bo2b
2o3bo18b2ob2o3bo2bo$278b5obo27bob2o$278b2o2b4o26b2o$280bo4bo$280b2o30b
5o$280bo2b2o26b5ob2o$280bo2b4o24bo6b2o$281b2obobo25b2o$277b2o6bo28b2o$
276b2o7b2o22b3o$277b2o35b2ob4o5b3o$278bo30bo2b3o2bobo6bo2bo$278b3obo
31b2o2b2o6bob2ob2o$281bobo27bo2bo10b2o7b2o$281bo32bo9bo5bo4bo$285b2o
24bo2bo9bo5bob2o3bo$280b2o2b2obo23b5o7bo5bo3bobobo$286bo36bo4b2o3bobob
o$288bo21b2obo10bo3bo3bo$288b5o17b2ob2o9bobobobo2bobo$290b2o2bo14bob2o
bobo14bobob2o$289bo2bo2bo13bo3bobo13b2o5bo2b2o$289bo2bo16b8o19b5o$287b
2o8bo11bo7bo15bo2bo4bo$289bobo2bob3o10bo2bo3b3o14bobob2o$293b2ob2obo
10bo7b2o12b2ob2o3b2o$268b2o7b2o16b3obo15b5o15bo2b2o$267b2o3b3ob3o17b3o
13bo7bo14b2obobo$269b2o2b2obobo18bo16bo21bo2b2obo$268bob2o5b2o20bo14bo
2bo3bo11b2obo5bo$268b2ob5ob2o20b2o33b4ob3o$268b2o5bo2bo19b2obo10b2obo
2bobo17bo2bobo$267bo8b3o23bo9b2obo4b2o19bobo$262b3ob2o9b2o19bobobo3bo
9bobo23b2o$260b2ob2obo2b2o28b2obobob2o7b2obob2o12b3o5bo2bo$260b5o2bob
2obo26b2obobo10b2obobo24bo$258bo7b3o3bo29b2o11b2ob2o19b2o4bo$258b7o6bo
30bobo10b2o3bo13bo4bo3bo$257bo4bo2b4o2b2o28b3o11b4obo13b3o2bobo$259b3o
9bo28bo14b4obo16bo2b3o$258b3o7b4o32bo14b3o12bo2bo2bo2bo$266bo5b3o25b2o
bo16b2o20b2o2bo$263b3o34b5o12b4o14b3o3bob3obo$275bo24b2o14b6o13b2o6bob
obo$316bo23bo$273b2obo28bo15bobo16bo3bo$271b2obo29bob2o15b3o20bob2o$
271bo4bo26b2obob2o6bo3b2o2b2o17b4o$270bo35bo3bo3b2obo4bo2bo16bo3bo3bo$
269b4o32bob4o2bo3bo7bo17b3ob4o$269bob4o34bo2bo3bo6bob3o17bob4o$271bo3b
2o32b4o10b5o13b5ob5o$270b2o2bob2o32b3ob2obo7bo15bo2bo5bo$274bobo2bo33b
5o7bobobo11bob2o5b2o$275bo2bo33bo3bobo6b2o2b2o10bo3bo4bob2o$280bo36bo
7b2o2bobo13bo3bo$278bobo34bo2bo6b2ob2o12b3o$272b3o2b2ob2o32bob2o7bo2b
5o$271bo2bobo3b3o31bo14b2o3b2o7b3o$271bo4b4o2bo32bo9bob2o4b2obo5bo3bo$
274b3ob3obo30b2o11b2o8bo6bob2o$271bo6b5o30b5o8bo4bo3bo9b3o$270b2ob2o3b
4o32b5o12bo8b3o4b2o$270b3obo41bobo11b2o2bo5b2o2bob2o$271b2o4b2o41bo8b
2o11b2o3bo$274b2obo42b2o6b3o13bo$271bo4b2o43bobo4b3o10b8o$273bo3bo46bo
4bobo8bo5bo2bo$276bo42b2ob2o6bo13bo2bobo$275bo4bo60bob2o2b3o$274bo2b3o
39bobo5bo19b3o$275bo44bo7b2o21b2o$275b3o49b2o16b2o4bo$278bo67bo2bobo$
274bobobo64b2o3b2ob2o$273bo4bob2o62b2o3bobo$274bo3b2o64b3o2bobo$273b2o
4bo52bo12bob2o2bo$271bobo59b2o10bobobo$271bo2bobob2o52b2o15bo3bo$271bo
7bo66b2o3bo$272b3o4b3o64b4o$274bo9bo64b3o$279b2o3b2o63b3o$274b3o2b2o3b
obo50bo12b2o$278bo2bo3b3o50b2o7b3o$278b2obo3b2o50b2o8bo5bo$278b3obob3o
61b2o2b4o$277b3o2bobo66bob3o$278bobobo2b2obo63bo$279b5ob6o61b3o$280b2o
3b2o3bo51bo11b2obo$288bo54b2o$283bo4bo53b2o11b2ob2o$282bobo3bo3bo62b3o
$281bo2bo6bo65bo$288bobo$280bob2o3bo69b6o$280bo3b2obo2bo56bo10b5o$280b
o5b2o60b2o$281b2o4bobo57b2o7b2o5b2o$283bo3bobob2o63b3o7b2o$284b2ob3o2b
o64bo5bo2b2o$280b2o2b2o3bobo$280b2o2bo3b2o73b2o$284bo67bo8b2ob2o$284bo
2bo25b2o38b2o6b2o$289b3obo18b2o38b2o7b2o$287bob2o23b2obo43b3o$286bob2o
3bo18bo3b3ob2o39b2o$285bo5bobo17b6ob2o2bo38b2o$286b2o3bo18b2ob2o4bo
358b3o$291b4o15bo4bo6bobo33b2o317bo2b2o3b5o$294b3o13b5o4b3o2bo17b3o3bo
2bobo5bo317bo4bob4o3bo$294b2ob2o11b3obo4b2o21bo2bobobobo2bo2b2o321bo3b
o$294bob3o16b2o2bobo20bo2bo3bobo2bo322bo10bo3bo$292b3o16bo3b2o3b2o21bo
10bo5b2o315b2obo2bo2b2o4bo$295bo20bo3bo2bobo16bo3b5o3bo4bobo315bo4bo2b
o$294b2obo21b3o2b3o15bob2ob2obo3bo4b2o311bob2o10bo4bo$293bo2b2obo19b2o
bo15bo2b2o8bo2bo316b2o5bo3bo5bo$293b3o2bo22bob3ob2o7b2obob3o7bobo8b2o
306bo3bo3b2o2bo$292bo2bobo21bo2bo12bo5bo2b3o14bobo305b4o3bo5bo$292b4ob
o20b2obo2bobo7b2o3bo5bo15b2o305bo4b2o2b4o$294bo23b2o2b3o8bo6b6obo320bo
2b5o$295b2o2bo19bo2bo2bobo4b8o6bo17b2o302bo3b3ob4ob2o$294bo3bo20b2obob
2o2b2o9b4o2b3o15bobo304bo7bobob2o$293b5o23bob3o10bo4bo21b2o310b2o3b2o$
293b2o2bo29b3o3bo2bo7b3obo326b2o3bo2b3o$296bo31b2o4bo4b2o3b5o17b2o306b
o6bob3o$294bobob2o39b2o7b2o15bobo307bo7b2obo$291b2obobo23b2o6bo2bo7bo
25b2o316bobo$291b2obobobo21b2obo4b4o17b2o331bo2b2o$291b3o2b2o23b2o3b5o
16b4o17b2o311bo$293bobo2b2ob2o18bo3b2o19b2obo17bobo310b3o$295b2ob2o2b
2o17b2o4bo17b3o19b2o310bo2bobo$295bo6bo18bo4b2o16bo2bo331b3o2b2o$295bo
3bob2o16b5o2bo2bo14bo25b2o309bo5b2o$295bo4b2obo18bo5b2o14bo3b3o18bobo
313bob2o$294b3o3bo20b2o6bob3o17b2o16b2o315bo2bo$293b3obo2bo21bo4b2o3b
2o11b2o2bo2bo333b4o$297bob5o21b4o20bobobo18b2o312b2o2bo$298b3o27b3o19b
o3bo16bobo313bo2bo$329bo4bo36b2o310b2o2bo$299b2o2bo25b7o12bo3b2obo326b
2o2bo3bob2o$299bo2bo29bob2o11b4ob2o3bo16b2o308bo2b3o2b2o$300b3o25b3o3b
2o10bo2bobo5bo15bobo306bo2bob2o2b2o$298b2ob2o28bo5bo11bo7b2o14b2o307bo
4bo3b2o$294b3obo29b2ob3o2bo13b2o5b2o322bo4bo4b3o$293bo2bo6b2o22b2o3b2o
b2o8b4o8bo18b2o304bob2o5b3o$293bo2bo30bobo2bobobobo9b2o3bo3bo17bobo
306bo4bo$297bo30b2ob5o3bo9bo2bo2bo19b2o305b3o4bo$295bo2b3o27b2o3bo2bob
o6bobob5o328b2ob3o$299b2o28bo2bo13b2o2bo27b2o305b2ob2o$296b5o29bo18b2o
b2o23bobo306bob2o$300b2ob2o24b3o20bo24b2o306b3obo$300b2o2bo23bo22bo$
301bo26bob3o17b5o25b2o307b2o$306bo26bo15b3ob2o24bobo304b4o$306b5o16bo
6bo14b2o28b2o305b2obo$305bo3b2o15b2obo3bo16b3o332bo3bo$305bo2b2obo17bo
b2o20bo28b2o300b2o4bo$306b2o2b2o18b3o20bo27bobo300b3o3bo$306bo26b2o13b
3o2bobo25b2o300bo2bo$307bo4bo2bo10b4o4bo14bo3bo328b3o3bo$307bo4b2ob2o
10b5obobo11b3o3b2o29b2o295bo2b2o2bobo$327bo6bo13bobo2b2o28bobo298bob4o
bo$334bo2bo7b2o6b2o28b2o296bo2b3o2bobo$316bo17bo2bo8bo2b2o331bobo5b3o
2bo$313bo3bo14b6o9b3o4b2o30b2o296b3o3bo3b2o$314bo2bo12bob2obo13bo6bo2b
2o24bobo296bo3b3o$315bo14bo7bo10bo4b2o2b2o25b2o298bo9bo$316bob2o10bo4b
3obo10bo2bo2bo2bo2bo328bo2bobo$316bobob2o2bo6bo3bobo12bob2o2bo2bo2bo
25b2o297bob3o2b2o$317bo2bob2obo5b2o4bobo12bo3b2o29bobo298bo3b2ob2o$
320bo4bo6b2obob2o18bobobo25b2o306bo2bo$318bobobobo8bob5o12bo4bobo2bo
332bob3o$318b3obo8bob2o2bo14bo10bo26b2o302b2o2bo$318b6o10bo23bo4bobo
23bobo302b2o2b2obo$320b3o8bo4bo2bo14bo4b2o4bo23b2o303b5o2bo$332bo3b2o
24bobo329b5o$317b3o16bo21bo3b3o27b2o299bobo3b3o$319bo14b2o21bobo31bobo
298b3o4bo$317bob4o10b2o4bo18bo5bobo24b2o298b3o5b3o$321b2o11bo3bobo15b
3o341bo$321bo12bo2bo3b2o13bob2ob4o29b2o294bo3b2obobo$322b2o13bobo14b2o
2b3ob2o29bobo294bo6bobobo$322bobob2o5bo21bo4bobo30b2o300b2obo2b3o$321b
3o2bo5b3o4b2obobo11b2o4bo2bo325b2ob3obobo$322bo6b2o10bo2bo12b3o2bobob
2o28b2o294bo3bobobo2bo$322b2o7b2o8b2o15bobobobo2bo27bobo297b2o4bo$325b
o4bo11bob2o9b2obo2b2o32b2o294bo2bo4bobo$326b5o3b2o19b2ob2o3b3o326b5ob
2obo21b3o$334bobo5bo15b3o2bo34b2o294b2o4b2o20bo2b2o$334bo2bo6b2ob2o16b
o31bobo299b2o2bo18bo4bo$333b2o9bo2b2o15bobo30b2o298b4o3bo$332b3o27bo3b
2o328b2o5bo18b3o3b2ob3o$336b2o3bo2bo5bo10b4o2bo32b2o297bo20b2obobo4bob
2o$331b2o3bo5b2o5b4o7bo2bobo33bobo299b2o2b2o15bo2bo4bo2b2o$331bo3bo8bo
4b2ob2o7bo3b2o2bo29b2o299b3ob3o12bo2bo8bo$331bob2o31b4o335bob2o10bo4bo
2b2o2bo2bo$332bo13bo20bo3b2o29b2o300bo2bobo10bob3o2b2o3b2o$348b4o16bo
4bo27bobo300b2obo14b2obob2obo3bo$335b3o10bobo20bobo27b2o305bo19b2ob3o$
336b2o9bo2bo17b2ob2o331bobob2o18bo5bo$335b2ob2o8bo21b2o32b2o297bo2bob
2o21b3o2b3o$335b2o2bo8bo20b2ob2o29bobo297bo30bob2o$336bo2bo8bobo17bo3b
o30b2o304bo19b2obo3b3o$336b3o5bo3bobo16b2obo2bo328b2obobobo19b2o2bo2b
2o$345bo21bo4b2o32b2o296b2ob2o22b4o3bo$343b3o21bo2bo34bobo297b2o25b2ob
o2bo$405b2o297bo2bo22b2obobobo$369b2o334bobo25bo$368bo4bo34b2o294bo2bo
22bo7b2o$371b3o33bobo293bo4bo22b2o5bo$349bo18bo3bo34b2o294bo3b2o23bob
2o2bob2o$350bo17b2obobo328bo4bo30bo3bo$348b3o17bo2bo38b2o290b2o3bo23b
3o5bo$366b2obobob2o34bobo291bobobob3o$365bo3bobo37b2o294bob4obobo20b3o
3bo$366bo4bo2bo330b3o3b2obo16bo2bo$368bobo3b5o33b2o298bobo15b2obo$354b
o15b6o2bo32bobo294bobo20bob2o3b2o$355bo13b2o2b3o35b2o292bo5b2o20b2ob4o
$353b3o13b3o6bo326b2o2bo2bo28b3o$374bo39b2o288bo2b2o3bo18b2ob2o3bo2bo$
368bo5b2o37bobo290b5obo27bob2o$368bo3b2o3bo35b2o291b2o2b4o26b2o$369bob
2o4bo330bo4bo$359bo13bo3bo38b2o290b2o30b5o$360bo12bo41bobo290bo2b2o26b
5ob2o$358b3o13b2o39b2o291bo2b4o24bo6b2o$374bo2b2o330b2obobo25b2o$373bo
4bo39b2o285b2o6bo28b2o$370bob3o2bo39bobo284b2o7b2o22b3o$369b3ob2o2b2o
38b2o286b2o35b2ob4o7bo$364bo3bo2bo334bo30bo2b3o2bobo7b4o$365bo5b2o47b
2o284b3obo31b2o2b2o6bo2b2o$363b3o5b4o44bobo287bobo27bo2bo15bo$373bobo
43b2o288bo32bo11bo5bo3bo$371bo4bo336b2o24bo2bo10b4o4b3obo$372b2o48b2o
284b2o2b2obo23b5o9bo3bo4bo$372b2o3b3o41bobo290bo37bob3o5bo2b2o$369bo8b
2o41b2o293bo21b2obo13bo6b5o$370bo4b2o339b5o17b2ob2o8b4obo2b2o2bobo$
368b3o10bob2o39b2o292b2o2bo14bob2obobo8b2o2bo5b4o$380b4obo37bobo291bo
2bo2bo13bo3bobo9b2o3bo3bo3bo$380bo5bo36b2o292bo2bo16b8o17b5o$380bob2o
2bo328b2o8bo11bo7bo14b3o3bo2bo11b2o$380b7o39b2o289bobo2bob3o10bo2bo3b
3o17b3obobo10bo2bo$374bo6bo4bo38bobo293b2ob2obo10bo7b2o14bo18bo3bo$
375bo5b2o4b5o33b2o296b3obo15b5o13b3obo4bo12b3o$373b3o11b5o332b3o13bo7b
o12bo4b3o10b2o6b4o$428b2o295bo16bo19b2o3b2obo8bob2o4b4o$427bobo297bo
14bo2bo3bo12bo4b4o7bo4bo6b3o$427b2o298b2o34bobo2bo10b4o4b2o3bo$391b2o
333b2obo10b2obo2bobo13b3obo3bo6bo9b2o$379bo9bobo38b2o298bo9b2obo4b2o
13b2o5b2o6bo3bo$380bo9b4o35bobo294bobobo3bo9bobo16b3o3b2obo10b3o2b2o2b
o$378b3o9b2ob3o33b2o296b2obobob2o7b2obob2o13b3o3b2o2bo5b2o7bo4bo$391bo
bob5o327b2obobo10b2obobo14bo2bo3bob2o16bob2o$392bo2bob2obo31b2o296b2o
11b2ob2o16bo22b2o6bo$395bobo2bo30bobo296bobo10b2o3bo15bo3bo19b2ob3obo$
393bobo2bo32b2o296b3o11b4obo18b2o18b2o3bo2bo$384bo7bo335bo14b4obo13b3o
b3o18bobo2b2o$385bo7bo4bo35b2o296bo14b3o12b2obo21bo2bobobo$383b3o12bo
34bobo292b2obo16b2o12b2o3bo3bo15b3o6bo$393b4o36b2o293b5o12b4o15b4obob
2obo13bobobo3bo$393b2o333b2o14b6o14bo3b2ob5o15b2obobo$392bo3bo39b2o
306bo27bo15bo6b3o$393b2o2bo37bobo295bo15bobo19b2ob2o$389bo45b2o295bob
2o15b3o18b3o13bo9bo$390bo5bobo332b2obob2o6bo3b2o2b2o21bo12bo3bo6bo$
388b3o5b3o39b2o294bo3bo3b2obo4bo2bo17bo4b2o11bo5b5o$399b4o4b3o27bobo
293bob4o2bo3bo7bo17bo5b3o9b3o$396bo3b3o4b3o27b2o298bo2bo3bo6bob3o15bo
5b3o13b2o$405bo331b4o10b5o16b3o15b3o2bo$397b2o5bobo33b2o296b3ob2obo7bo
16b5o13bob3obo$394bo6b3obo33bobo299b5o7bobobo12bo5bob2o7bo3bo2bo$395bo
5b5o3b2o28b2o299bo3bobo6b2o2b2o10bob2ob4ob2o7bo4b2ob3o$393b3o6b3o3b2ob
o333bo7b2o2bobo17bo12b4obo4b2o$409bo32b2o299bo2bo6b2ob2o14bo2bo2b2o10b
ob4o4b2o$407bo2bo30bobo298bob2o7bo2b5o12b2o21bo$407bob2o30b2o299bo14b
2o3b2o9b3o21bo2b2o$406bo3b3o330bo9bob2o4b2obo6bo25b2o$399bo6b2o2b3o31b
2o295b2o11b2o8bo6b5o22b5o$400bo4b2ob3o32bobo295b5o8bo4bo3bo6bo31b2o$
398b3o5bob2o33b2o297b5o12bo10b2ob2o21b3o6bo$407b2o335bobo11b2o2bo6bo4b
2o21bobo3bobo$446b2o300bo8b2o10bobo24bo3bo3bo$445bobo300b2o6b3o9b2o26b
o3b2o$445b2o302bobo4b3o9b2ob3ob2o18bo6bob3o$404bo347bo4bobo8b2o4bo3bo
17b2o3bo3b2o$405bo42b2o297b2ob2o6bo10b2o5bo2bo17b4o2bo2bo$403b3o41bobo
325bo23b2o3bo$447b2o298bobo5bo20b2o2bo17bo$748bo7b2o17b5o18b2obo$450b
2o303b2o16bo23bo$449bobo344b5o$409bo39b2o322b2o21bo4bo$410bo361b2o5b3o
13b3ob3o$408b3o41b2o318b2ob3o2b2o13bob5o$451bobo306bo13bobo18bo$451b2o
308b2o15bob2o15bo$760b2o12bo3bob2o11bo4b4o$454b2o318bo3bobo16b4ob2o$
414bo38bobo318bo5bo13b3o4bo$415bo37b2o319bo3bob2o19bobo$413b3o359bo29b
o$456b2o307bo10b3o22bo2b2o$455bobo308b2o34b3o$455b2o308b2o9bo22b2o$
776bo4bo16b3o5bo$419bo38b2o316bob2ob2o18b2o2bobo$420bo36bobo322b2o14bo
2b3obobo$418b3o36b2o321b2obobo13b2obo2bo$770bo10b2o3bo14bobo2b2o$460b
2o309b2o8bo3b2o16b2o$459bobo308b2o13bo13b3o4bo$459b2o322bo3bo11b3o4bo$
424bo358bo3bo12b2o3b3o$425bo36b2o323b2o12b2ob2o$423b3o35bobo320b2o2b3o
11b2o$461b2o312bo8bo2bobo12bo$776b2o6bo$464b2o309b2o7bo7bo8b2o3b3o$
463bobo319b3o3bo11bo2b2obo$429bo33b2o321b2o4bob2o9bo3b2o$430bo356b3o3b
2obo9bo2b2o$428b3o35b2o317bo2bo5bobo13bobo$465bobo312bo5b2o19b2o2b2o$
465b2o314b2o8b2o17b2o$780b2o7bobo18bobo$468b2o318bo23b2o$434bo32bobo
321bo18bob2o$435bo31b2o322bo18b3o3bo$433b3o352bo2bo17b2o4b2o$470b2o
318bo18b3o$469bobo313bo24bobo$469b2o314bo25bobo3b3o$787bobo21bo6bob2o$
439bo32b2o317bo23bo6bo$440bo30bobo318bo22bo3b2o4b3o$438b3o30b2o319b2o
18b2o10bo2b2o$791b2o23b3o5bo4bo$474b2o315bo24b3o$473bobo340bo7b3o3b2ob
3o$473b2o347b2obobo4bob2o$444bo358b2o11b3o5bo2bo4bo2b2o$445bo30b2o325b
3o10b3o2bo2bo8bo$443b3o29bobo324bob3o9b3o2bo4bo2b2o2bo2bo$475b2o315b2o
9bob3o8b2o4bob3o2b2o3b2o$792b2o9b4o5b2o10b2obob2obo3bo$478b2o324b2o6b
2o16b2ob3o$477bobo332bobo15bo5bo$449bo27b2o334b3o17b3o2b3o$450bo385bob
2o$448b3o29b2o330b2o17b2obo3b3o$479bobo325bo23b2o2bo2b2o$479b2o315b2o
7b2o26b4o3bo$796b2o8b2o26b2obo2bo$482b2o348b2obobobo$454bo26bobo329b2o
20bo$455bo25b2o329bo2bo16bo7b2o$453b3o357b2o18b2o5bo$484b2o348bob2o2bo
b2o$483bobo354bo3bo$483b2o315b2o31b3o5bo$800b2o$459bo26b2o349b3o3bo$
460bo24bobo329b2o14bo2bo$458b3o24b2o329bo2bo12b2obo$805bo11b2o14bob2o
3b2o$488b2o313b2o30b2ob4o$487bobo314b2o37b3o$487b2o344b2ob2o3bo2bo$
464bo377bob2o$465bo24b2o350b2o$463b3o23bobo329b2o$489b2o329bo2bo18b5o$
821b2o18b5ob2o$492b2o347bo6b2o$491bobo348b2o$469bo21b2o351b2o$470bo
368b3o$468b3o23b2o348b2ob4o$493bobo329b2o12bo2b3o2bobo$493b2o329bo2bo
16b2o2b2o$825b2o14bo2bo$496b2o346bo$474bo20bobo343bo2bo$475bo19b2o344b
5o$473b3o$498b2o340b2obo$497bobo329b2o9b2ob2o$497b2o329bo2bo7bob2obobo
$829b2o8bo3bobo$479bo20b2o337b8o$480bo18bobo337bo7bo$478b3o18b2o338bo
2bo3b3o$801bo38bo7b2o$502b2o295b2o44b5o$501bobo296b2o31b2o7bo7bo$501b
2o329bo2bo8bo$484bo348b2o9bo2bo3bo$485bo18b2o$483b3o17bobo336b2obo2bob
o$503b2o337b2obo4b2o$846bobo$506b2o337b2obob2o$505bobo329b2o6b2obobo$
489bo15b2o329bo2bo5b2ob2o$490bo346b2o6b2o3bo$488b3o17b2o335b4obo$507bo
bo335b4obo$507b2o340b3o$850b2o$510b2o335b4o$494bo14bobo329b2o3b6o$495b
o13b2o329bo2bo2bo$493b3o345b2o8bobo$512b2o339b3o$511bobo336b2o2b2o$
511b2o339bo2bo$855bo$499bo14b2o337bob3o$500bo12bobo329b2o6b5o$498b3o
12b2o329bo2bo7bo$797bo47b2o8bobobo$516b2o277b2o58b2o2b2o$515bobo278b2o
57b2o2bobo$515b2o338b2ob2o$504bo350bo2b5o$505bo12b2o339b2o3b2o$503b3o
11bobo329b2o4bob2o4b2obo$517b2o329bo2bo4b2o8bo$849b2o5bo4bo3bo$520b2o
339bo$519bobo338b2o2bo$509bo9b2o314b3o3bo2bobo12b2o$510bo324bo2bobobob
o2bo10b3o$508b3o11b2o311bo2bo3bobo2bo10b3o$521bobo312bo10bo5b2o3b3o$
521b2o312bo3b5o3bo4bo2bo2b3o$835bob2ob2obo3bo4bobo4bobo$524b2o305bo2b
2o8bo2bo4b3o5bo$514bo8bobo303b2obob3o7bobo$515bo7b2o303bo5bo2b3o$513b
3o311b2o3bo5bo$526b2o298bo6b6obo$525bobo297b8o6bo$525b2o305b4o2b3o$
829bo4bo$519bo8b2o296bo2bo7b3obo$520bo6bobo297bo4b2o3b5o$518b3o6b2o
303b2o7b2o$793bo38bo$530b2o259b2o49b2o$529bobo260b2o46b4o$529b2o308b2o
bo$524bo313b3o$525bo6b2o303bo2bo$523b3o5bobo303bo$531b2o304bo3b3o$844b
2o$534bo303b2o2bo2bo$533bo308bobobo$529bo8bo304bo3bo$530bo6b2o$528b3o
8bo301bo3b2obo$535bo304b4ob2o3bo$531bo7b3o297bo2bobo5bo$530bo5b2ob2o
301bo7b2o$529bo3b2ob3o304b2o5b2o$533b3obo300b4o8bo$530b2o2b4o303b2o3bo
3bo$531b3o6b3o299bo2bo2bo$531b3o6bo2bo294bobob5o$540bo298b2o2bo$538b4o
2bo297b2ob2o$539bobobo301bo$534b2o2b3o303bo$534b2o307b5o$842b3ob2o$
520b2o7b2o258bo52b2o$519b2o3b3ob3o256b2o54b3o$521b2o2b2obobo257b2o56bo
$520bob2o5b2o315bo$520b2ob5ob2o310b3o2bobo$520b2o5bo2bo311bo3bo$519bo
8b3o309b3o3b2o$514b3ob2o9b2o310bobo2b2o$512b2ob2obo2b2o315b2o6b2o$512b
5o2bob2obo314bo2b2o$510bo7b3o3bo315b3o4b2o$510b7o6bo25bo292bo6bo2b2o$
509bo4bo2b4o2b2o25bo291bo4b2o2b2o$511b3o9bo24b3o292bo2bo2bo2bo2bo$510b
3o7b4o319bob2o2bo2bo2bo$518bo5b3o318bo3b2o$515b3o332bobobo$527bo317bo
4bobo2bo$845bo10bo$525b2obo322bo4bobo$523b2obo320bo4b2o4bo$523bo4bo
326bobo$522bo328bo3b3o$521b4o325bobo$521bob4o324bo5bobo$523bo3b2o320b
3o$522b2o2bob2o319bob2ob4o$526bobo2bo315b2o2b3ob2o$527bo2bo254bo62bo4b
obo$532bo250b2o64b2o4bo2bo$530bobo251b2o64b3o2bobob2o$524b3o2b2ob2o
317bobobobo2bo$523bo2bobo3b3o313b2obo2b2o$523bo4b4o2bo313b2ob2o3b3o$
526b3ob3obo316b3o2bo$523bo6b5o323bo$522b2ob2o3b4o323bobo$522b3obo328bo
3b2o$523b2o4b2o323b4o2bo$526b2obo323bo2bobo$523bo4b2o324bo3b2o2bo$525b
o3bo329b4o$528bo331bo3b2o$527bo4bo328bo4bo$526bo2b3o332bobo$527bo333b
2ob2o$527b3o44bo288b2o$530bo44bo286b2ob2o$526bobobo42b3o285bo3bo$525bo
4bob2o326b2obo2bo$526bo3b2o328bo4b2o$525b2o4bo328bo2bo$523bobo$523bo2b
obob2o330b2o$523bo7bo329bo4bo$524b3o4b3o330b3o$526bo9bo244bo79bo3bo$
531b2o3b2o241b2o80b2obobo$526b3o2b2o3bobo241b2o79bo2bo$530bo2bo3b3o
319b2obobob2o$530b2obo3b2o319bo3bobo$530b3obob3o320bo4bo2bo$529b3o2bob
o324bobo3b5o$530bobobo2b2obo322b6o2bo$531b5ob6o319b2o2b3o$532b2o3b2o3b
o319b3o6bo$540bo326bo$535bo4bo320bo5b2o$534bobo3bo3bo316bo3b2o3bo$533b
o2bo6bo318bob2o4bo$540bobo323bo3bo$532bob2o3bo326bo$532bo3b2obo2bo324b
2o$532bo5b2o327bo2b2o$533b2o4bobo324bo4bo$535bo3bobob2o318bob3o2bo$
536b2ob3o2bo317b3ob2o2b2o$532b2o2b2o3bobo317bo2bo$532b2o2bo3b2o322b2o$
536bo327b4o$536bo2bo326bobo$541b3obo53bo264bo4bo$539bob2o57bo264b2o$
538bob2o3bo52b3o264b2o3b3o$537bo5bobo231bo93b2o$538b2o3bo231b2o91b2o$
543b4o229b2o96bob2o$546b3o324b4obo$546b2ob2o322bo5bo$546bob3o322bob2o
2bo$544b3o326b7o$547bo326bo4bo$546b2obo324b2o4b5o$545bo2b2obo328b5o$
545b3o2bo$544bo2bobo$544b4obo$546bo337b2o$547b2o2bo330bobo$546bo3bo
332b4o$545b5o333b2ob3o$545b2o2bo334bobob5o$548bo336bo2bob2obo$546bobob
2o336bobo2bo$543b2obobo337bobo2bo$543b2obobobo334bo$543b3o2b2o336bo4bo
$545bobo2b2ob2o336bo$547b2ob2o2b2o330b4o$547bo6bo331b2o$547bo3bob2o
330bo3bo$547bo4b2obo330b2o2bo$546b3o3bo220bo$545b3obo2bo218b2o116bobo$
549bob5o216b2o115b3o$550b3o339b4o4b3o$624bo264bo3b3o4b3o$551b2o2bo69bo
272bo$551bo2bo68b3o264b2o5bobo$552b3o339b3obo$550b2ob2o339b5o3b2o$546b
3obo344b3o3b2obo$545bo2bo6b2o345bo$545bo2bo351bo2bo$549bo350bob2o$547b
o2b3o346bo3b3o$551b2o346b2o2b3o$548b5o345b2ob3o$552b2ob2o342bob2o$552b
2o2bo343b2o$553bo$558bo$558b5o$557bo3b2o$557bo2b2obo$558b2o2b2o$558bo$
559bo4bo2bo$559bo4b2ob2o2$769bo$568bo198b2o$565bo3bo198b2o$566bo2bo$
567bo$568bob2o$568bobob2o2bo$569bo2bob2obo$572bo4bo$570bobobobo$570b3o
bo$570b6o73bo$572b3o75bo$648b3o$569b3o$571bo$569bob4o$573b2o$573bo$
574b2o$574bobob2o5bo$573b3o2bo5b3o$574bo6b2o$574b2o7b2o$577bo4bo$578b
5o3b2o$586bobo$586bo2bo$585b2o178bo$584b3o176b2o$588b2o174b2o$583b2o3b
o$583bo3bo$583bob2o$584bo12$674bo$675bo$673b3o8$761bo$759b2o$760b2o23$
699bo$700bo$698b3o$757bo$755b2o$756b2o26$753bo$751b2o$752b2o2$724bo$
725bo$723b3o22$749bo$747b2o$748b2o9$749bo$750bo$748b3o10$822b2o$823b2o
$822bo3$745bo$743b2o$744b2o13$922b2o$923b2o$922bo$774bo$775bo$773b3o$
769bo$769bo$769bo2$765b3o3b3o2$769bo$741bo27bo$739b2o28bo$740b2o5$
1022b2o$1023b2o$1022bo18$1122b2o$1123b2o$1122bo7$770b3o$769bo2b2o3b5o$
769bo4bob4o3bo$772bo3bo$769bo10bo3bo$769b2obo2bo2b2o4bo$769bo4bo2bo$
764bob2o10bo4bo$763b2o5bo3bo5bo$762bo3bo3b2o2bo$761b4o3bo5bo$760bo4b2o
2b4o449b2o$760bo2b5o455b2o$760bo3b3ob4ob2o447bo$762bo7bobob2o$767b2o3b
2o$767b2o3bo2b3o$766bo6bob3o$767bo7b2obo$775bobo$774bo2b2o$773bo$772b
3o$771bo2bobo$771b3o2b2o$773bo5b2o$777bob2o$778bo2bo$778b4o$778b2o2bo$
779bo2bo$775b2o2bo542b2o$774b2o2bo3bob2o537b2o$776bo2b3o2b2o536bo$714b
o59bo2bob2o2b2o$713b4o4b3o50bo4bo3b2o$712bo2b2o2bo3bo49bo4bo4b3o$715bo
2b2o54bob2o5b3o23bo$718b2ob2o53bo4bo27bo$712b3o7bo51b3o4bo27bo$711b3o
7b2o51b2ob3o$711b3o6bobo54b2ob2o29b3o$706b3o69bob2o$706b2ob2o2b2o62b3o
bo27bo$704bo3bo3b3ob3o90bo$704b4ob2o4b2o64b2o26bo$703bo7b4o63b4o$702b
3obo9bo61b2obo$704bo6b8o58bo3bo$708b2o3bo4bo57b2o4bo$710b3o2bo60b3o3bo
$709bobo3bo2bobo54bo2bo643b2o$709bobo9bo52b3o3bo642b2o$721bo51bo2b2o2b
obo639bo$717b2o57bob4obo$717bob3o51bo2b3o2bobo$715bo58bobo5b3o2bo$715b
ob2o57b3o3bo3b2o$714bo2bob2o55bo3b3o$714bob5o56bo9bo61bo$716bo2b2ob2o
59bo2bobo61bo$724bo54bob3o2b2o60b3o$720bo3bo55bo3b2ob2o$720bo3b2o61bo
2bo$725bo61bob3o$722b2o62b2o2bo$717b3ob2o3bo59b2o2b2obo$717bo2b2o2bob
3o57b5o2bo$717bob2o3b2o60b5o$718bo5b2o59bobo3b3o$716b2o4b2obo58b3o4bo$
716b3ob2o3bo57b3o5b3o728b2o$718b3o4b2obo63bo730b2o$717bo7bobo54bo3b2ob
obo730bo$717bo3bobo58bo6bobobo$717bo4bobo62b2obo2b3o$719bo4bo58b2ob3ob
obo$725bo58bo3bobobo2bo$720b3obo62b2o4bo$721bob3o57bo2bo4bobo$722bob2o
58b5ob2obo$721bo64b2o4b2o$720bo3b2o65b2o2bo$719b2o2b3o63b4o3bo$724b2o
62b2o5bo$718bo2bo69bo$717bo3b2o70b2o2b2o$717bo4bobo67b3ob3o$717bo3bo3b
o71bob2o$718bo7bo69bo2bobo$719bobo2bo71b2obo$724bo2bob2o69bo821b2o$
719bo9b2o65bobob2o821b2o$719bobo2b2o3b2o64bo2bob2o820bo$724b2o4bo64bo
78bo$726bo2bobo69bo73bo$723b4o67b2obobobo71b3o$723b6o2bo64b2ob2o$730bo
2b2o62b2o$730bobobo61bo2bo$735bo61bobo$728bo5b2o60bo2bo$728bo6bo59bo4b
o$728bo7bo58bo3b2o$727bo4bob2o58bo4bo$726bo6bo60b2o3bo$726bo2bo4bobo
58bobobob3o$726b4o3bo2bo60bob4obobo$731bo2bo62b3o3b2obo$729bo2bobobo
67bobo$726bo2bo3bo2b2o62bobo$726b4o3bobo2bo58bo5b2o917b2o$726b4o5b2o
60b2o2bo2bo918b2o$730b3obob2o58bo2b2o3bo917bo$727bo4b3ob2o60b5obo$727b
o3bob2ob2o60b2o2b4o$731bobo2b2o62bo4bo$800b2o47bo$731b2o2bo2b2o60bo2b
2o44bo$731b2o2bo64bo2b4o42bo$737bo63b2obobo$737b3obo55b2o6bo45b3o$735b
ob3o56b2o7b2o$736bobo3b2o53b2o50bo$739bo2bo55bo50bo$739b4o55b3obo46bo$
739bobob2o56bobo$740bo60bo$738b3o2b2o60b2o$743b2o55b2o2b2obo$737b3o3bo
62bo$738bobobobo63bo1013b2o$738bo3b2o64b5o1010b2o$743bo66b2o2bo1007bo$
739bo2bo66bo2bo2bo$739b2ob2o65bo2bo$739bob3o63b2o8bo$738b2o3bo65bobo2b
ob3o$737b2o3b2o69b2ob2obo$737bo3b2o72b3obo$737b3o2bo2bo70b3o$737b2o3bo
3bo70bo$740bo6bo71bo$740bobob2obob2o68b2o$741b2o4bo70b2obo$747b2o73bo$
740b2o2b4o70bobobo3bo$739b5o3b2o70b2obobob2o$745bob2o70b2obobo$740bo4b
o76b2o$741bo3bo2bo73bobo$743bob2obo72b3o1098b2o$742b3o2bo72bo1102b2o$
742b2ob2o77bo1097bo$743bo5bo70b2obo$744b2o3bo70b5o$739b3o5bo72b2o$739b
o8b2o$739bobo83bo$824bob2o$741b5o77b2obob2o6bo$742bobo81bo3bo3b2obo$
745bo79bob4o2bo3bo$743b2o2b3o79bo2bo3bo$747bo2bo78b4o$748b3o79b3ob2obo
$750b2ob2o78b5o$751bo3bo76bo3bobo$751bo4bo80bo$752bo2b2o78bo2bo$752bo
81bob2o$751b3o5b3o72bo$751bo4b2o77bo$756b2o4bo70b2o$757bo4bo70b5o$758b
o75b4o$759b2o75bo$761b3o2$761b2obo$761bobobo$763bobo2b3o$761bo3bo3b2o$
762b2obob2o$765bobo$767bo$764b3o$764b3o$763b2o$763bo$762bo3b2o$763bo2b
o2$768b2o$766b2ob3o$766b2obob2o5b2o$767bobo3bo3b2obo$769b3ob2ob3obo
108bo$775b2o112bo$772bo5b2o109bo59bo$772bo7bo169bo$781bo109b3o54b3o$
776b2o3bo$779b3o107bo$778bo2bo107bo$777bob2o94bo13bo$777bobo94b3o3bobo
bo$776bobo94b2o2b2o2bobob2o$776bo97b3obobo4b3o$780bo93b2o2b2o5b3o$776b
o97bob3o3bo2b3o$779b2o93bo2bo4b2ob3o$869b2obo3bo5b5o$868b3o4b3o6bo$
866b2o2bo2bob4o$866b2o$864bo4bo2b6o$864b7o$865b2o4bob2o2b3o$873b2obo$
867bo4bo3bo3bo$871b2o3bo$870bo6b2ob2o$871b2o7bobo$882bo$878b2o$877bo3b
2o$877bo$876bo2bo$875b3o2b2o$881b3o$877bo2bo2b2o$885bo$881bob3o$882bo
91bo$885b2o88bo$879b2o2b4o86b3o$879bo2bo2b2obo$879bo3b2o3b2o$881bobo4b
o$878b5o5bo$878b3obo5b2o$878bo2bo6bo$886bo$879bobo2b2o$878b2o$881b2ob
2o$882bob2o$882bo$881bo4bo$886bo$885bo$881b4o$883bobo$881bo2b2o$880b3o
b2o$879bo4b2o$879bo2bobo$878bobo3bo2bo$877b3o2bo2b2o$877b2o2b2o2bobo$
879bo7bo$881b2o5bob3o$881b2o3b5o$881b5o2b2ob2o$884b2ob2obo$883b3o2b2o
2bo$889bo2bo$892bobo$890bo3b3o$891bo$891bo3bobo$891bob2ob2o$890bo3bobo
$889bobo4b2o$888bo2bo$888bo5bob2o$888bo4bo2bo32bo$886b5o5bo32bo$886b2o
b2obobo34bo$888b2obo2bo2b2o$888bo2bo2bobob2o31b3o$888bo3bobo2b3o$887b
2obob3o2bo$887b2o4bob2o$889b2obo2bobo$891bo4b2o$898b2o$893b2obob2o$
893bo2b2obo$892bo2bobo$896b2o3bo$897bo3b2o$898bo2bo2bo$903bobo$900b4ob
o$901bo$900bo4bo$901b2ob2o$899b2obobo$899b3obobo$898b2obob3o2$901b2o$
901bo$901b3obo$903bobo$900b3o$899b5o$903bob2o$898b2obobo$897bob2o2bob
2o$901bobo2bob2o$901b2o5b3o$904bo5bo$907bo$901bobobobo$901b2o3b2o$906b
2o$900b2ob4obo$903bo4b3o$905bo$905bo$905b3o$905b3ob2o$904bo5bo$901b2o
6bo$901bo4bo2b2o$901bo3bo$902bo$903bo2bo$903bobobo$905b2o$903bobo3b2o$
904b2o3bobo$908bo2bo2$912b2ob2o$912bo2bobo$911b2o3b3o130bo$911b2o5b2o
130bo$912bo3bob2o128b3o$916bobob3o$913b2o3bo4bo$919bo3bo$920b3o3$922b
3o$925bo$921bo3bo$927bob2o$922b2obo5bo$924bo2bo4bo$927bobo$926bobo$
924b3o$969bo$925bobobo39bo$925bobo41bo$924bo3bo$924bo2bo43b3o$925bo$
929bo$928bobo$928bobob2o6bo$928bob2o2bo4bobo$931bo2bo3b2obo$929bo3bo3b
4o$934b3obo$933bo4bo$937bo2b3o$933bo3bo2bo$935bo5bo$942bo131bo$938b4o
133bo$938bobo3bo128b3o$940bo3bo$937bo$937b2o3bo118b3o$939b3o118bo2b2o
3b5o$1060bo4bob4o3bo$1063bo3bo$1060bo10bo3bo$1060b2obo2bo2b2o4bo$1060b
o4bo2bo$1055bob2o10bo4bo$1054b2o5bo3bo5bo$1053bo3bo3b2o2bo$1052b4o3bo
5bo$1051bo4b2o2b4o$1051bo2b5o$1051bo3b3ob4ob2o$1053bo7bobob2o$1058b2o
3b2o$1058b2o3bo2b3o$1057bo6bob3o$1058bo7b2obo$1066bobo$1065bo2b2o$
1064bo$1063b3o$1062bo2bobo$1062b3o2b2o$978bo85bo5b2o$977b4o4b3o80bob2o
$976bo2b2o2bo3bo81bo2bo$979bo2b2o85b4o$982b2ob2o82b2o2bo$976b3o7bo83bo
2bo$975b3o7b2o79b2o2bo$975b3o6bobo78b2o2bo3bob2o$970b3o94bo2b3o2b2o$
970b2ob2o2b2o86bo2bob2o2b2o$968bo3bo3b3ob3o82bo4bo3b2o$968b4ob2o4b2o
83bo4bo4b3o$967bo7b4o86bob2o5b3o$966b3obo9bo86bo4bo$968bo6b8o82b3o4bo$
972b2o3bo4bo82b2ob3o$974b3o2bo88b2ob2o$973bobo3bo2bobo84bob2o$973bobo
9bo82b3obo$985bo$981b2o89b2o$981bob3o83b4o$979bo89b2obo$979bob2o85bo3b
o$978bo2bob2o82b2o4bo$978bob5o82b3o3bo$980bo2b2ob2o78bo2bo$988bo76b3o
3bo$984bo3bo75bo2b2o2bobo$984bo3b2o77bob4obo$989bo74bo2b3o2bobo$986b2o
77bobo5b3o2bo$981b3ob2o3bo76b3o3bo3b2o$981bo2b2o2bob3o74bo3b3o$981bob
2o3b2o78bo9bo$982bo5b2o84bo2bobo$980b2o4b2obo80bob3o2b2o$980b3ob2o3bo
21b3o57bo3b2ob2o$982b3o4b2obo85bo2bo$981bo7bobo86bob3o$981bo3bobo89b2o
2bo$981bo4bobo88b2o2b2obo$983bo4bo88b5o2bo$989bo87b5o$984b3obo87bobo3b
3o$985bob3o85b3o4bo$986bob2o84b3o5b3o$985bo97bo$984bo3b2o83bo3b2obobo$
983b2o2b3o83bo6bobobo$988b2o88b2obo2b3o$982bo2bo88b2ob3obobo$981bo3b2o
88bo3bobobo2bo$981bo4bobo89b2o4bo$981bo3bo3bo84bo2bo4bobo$982bo7bo84b
5ob2obo$983bobo2bo88b2o4b2o$988bo2bob2o87b2o2bo$983bo9b2o85b4o3bo$983b
obo2b2o3b2o84b2o5bo$988b2o4bo87bo$990bo2bobo88b2o2b2o$987b4o92b3ob3o$
987b6o2bo92bob2o$994bo2b2o88bo2bobo$994bobobo88b2obo$999bo91bo$992bo5b
2o87bobob2o$992bo6bo86bo2bob2o$992bo7bo85bo$991bo4bob2o92bo$990bo6bo
87b2obobobo$990bo2bo4bobo86b2ob2o$990b4o3bo2bo87b2o$995bo2bo88bo2bo$
993bo2bobobo87bobo$990bo2bo3bo2b2o85bo2bo$990b4o3bobo2bo83bo4bo$990b4o
5b2o85bo3b2o$994b3obob2o83bo4bo$991bo4b3ob2o83b2o3bo$991bo3bob2ob2o84b
obobob3o$995bobo2b2o86bob4obobo$1088b3o3b2obo$995b2o2bo2b2o91bobo$995b
2o2bo91bobo$1001bo86bo5b2o$1001b3obo82b2o2bo2bo$999bob3o83bo2b2o3bo$
1000bobo3b2o81b5obo$1003bo2bo82b2o2b4o$1003b4o84bo4bo$1003bobob2o82b2o
$1004bo86bo2b2o$1002b3o2b2o82bo2b4o$1007b2o83b2obobo$1001b3o3bo80b2o6b
o$1002bobobobo78b2o7b2o$1002bo3b2o80b2o$1007bo81bo$1003bo2bo82b3obo$
1003b2ob2o84bobo$1003bob3o84bo$1002b2o3bo88b2o$1001b2o3b2o83b2o2b2obo$
1001bo3b2o90bo$1001b3o2bo2bo89bo$1001b2o3bo3bo88b5o$1004bo6bo89b2o2bo$
1004bobob2obob2o85bo2bo2bo$1005b2o4bo88bo2bo$1011b2o85b2o8bo$1004b2o2b
4o88bobo2bob3o$1003b5o3b2o91b2ob2obo$1009bob2o93b3obo$1004bo4bo97b3o$
1005bo3bo2bo95bo$1007bob2obo38b3o56bo$1006b3o2bo98b2o$1006b2ob2o98b2ob
o$1007bo5bo99bo$1008b2o3bo95bobobo3bo$1003b3o5bo98b2obobob2o$1003bo8b
2o96b2obobo$1003bobo107b2o$1113bobo$1005b5o102b3o$1006bobo102bo$1009bo
105bo$1007b2o2b3o97b2obo$1011bo2bo96b5o$1012b3o96b2o$1014b2ob2o$1015bo
3bo96bo$1015bo4bo94bob2o$1016bo2b2o93b2obob2o6bo$1016bo100bo3bo3b2obo$
1015b3o5b3o90bob4o2bo3bo$1015bo4b2o98bo2bo3bo$1020b2o4bo93b4o$1021bo4b
o94b3ob2obo$1022bo101b5o$1023b2o98bo3bobo$1025b3o100bo$1126bo2bo$1025b
2obo96bob2o$1025bobobo95bo$1027bobo2b3o91bo$1025bo3bo3b2o89b2o$1026b2o
bob2o91b5o$1029bobo93b4o$1031bo95bo$1028b3o$1028b3o$1027b2o$1027bo$
1026bo3b2o$1027bo2bo2$1032b2o$1030b2ob3o$1030b2obob2o5b2o$1031bobo3bo
3b2obo$1033b3ob2ob3obo$1039b2o$1036bo5b2o$1036bo7bo$1045bo$1040b2o3bo$
1043b3o$1042bo2bo$1041bob2o$1041bobo$1040bobo$1040bo$1044bo$1040bo$
1043b2o16$1075b2o7bo$1075bo2bo5b2o$1075bo3b4o2bo$1077b3o4bo$1075b2o3b
5o7b2o$1073bo2bo5bo2bo5bo$1084b2o$1069bo3bobo8bo$1068bob4o2bo$1067b2o
2bo2bob2obo$1066bo6b2o3b2o$1065b8o5bo$1064bo4bo2b5obo$1064bob2o10bo$
1066b2o6b5obo$1071bo8bo$1070bo2b2obo4bo$1071bo$1082b2o2$1079b3obo$
1078b2ob2o$1079bob2o$1076b2ob3o$1076bo5bo$1078bo$1077b2o3b2obo$1081b3o
2bo$1085b2o$1086b2o$1085bobo$1080bo2b3o$1079b3o5b2o$1078b2o4b3ob2o$
1079bob3obo3bo$1078bob2o6bo$1078bo2bob3ob2o$1078bo3b3o2bo$1078bo3b2o2b
2obo$1079bob2o3b2obo$1078b3o3b3o$1080bo3bobo$1085b3o$1082b2ob3o$1082b
3o$1082bo$1083b2o2bo$1083bobo$1081b3obobo$1081b2o2bo2bo$1081b2o2bobo$
1083b2o$1079b2o2b3o$1078b3o3b2o$1079b2o6bo$1080bobo4bo$1087bo$1082bo7b
3o$1082bo3b2o5bo$1082bo3b2o5bo$1086bobo4bo$1085bo2bo3bo$1085bo4bobo$
1085bo3bo$1086b4ob2ob3o$1093bo2b2o$1095bobo$1096b3o$1089b3o4b3o$1089b
2o5bobo$1089bo5b3o$1088b2o5bo$1087b2o2bo3b3o$1088b5o2b2o$1089bob2obobo
$1092bobobob2o$1088bo2b2ob2o2b2o$1087bo4bo4bo$1088bo4b3o$1088bo2b4obo$
1092bo7bo$1093bo6bo$1095b5o$1093bo4b3o$1093b2o$1093b2o3bobo$1098b2o$
1101b2o$1102bobo$1098bo5b2o$1100b2o$1100b2o$1101bo3bo$1100bo2b2o$1101b
2o2b2o$1099bo2bobo$1099b3o2bo$1103b2obo$1101bob2obo$1105bo$1101b4o$
1100b2o$1103bo2bo$1099bob3o2bo$1099bobobobo$1098bo2bobo$1098bo2bo2b2o$
1099bo3bo4bo$1101bo3bobob2o$1102bob2o3bo$1103b3o3bobo$1102bobo2bo2bo$
1101bo3b3o$1101bo2b2o$1101bo2bobo2b2o$1106b2ob2o$1107bobo$1105bob2obo$
1109bo$1107b2o$1104b2o2bo$1102bo3bo3bo$1101b2o8bo$1100b2obo6bo$1102bo$
1102b2ob2o$1103b2ob2o$1103b2o$1107bo2bo$1106bob4o$1109bo2bo$1110bo$
1113b2obo$1113bo2b2o$1113b2o3bo$1113b2o2b2o$1122bo$1113bobo6bo$1113bo
4b3ob2o$1120bo$1118b3o$1120b2o$1121b4o$1122b3o2$1123b4o$1123bobobo3bo$
1127b2obobo$1125bobobo2bo$1124bo2bob3o$1126bo2bo$1126bo2bo$1126bo2bo$
1128bo$1125bo$1124b3o$1124b2o2b2o$1128b2o2$1129b3o$1128bo4b2o$1131bob
2o4b3o$1128b2obo3b2obo3bo$1130b3ob3o3bo$1132b7o$1141bo$1141b2o$1142b2o
$1143b2o$1139b3ob2o$1140bo2bo$1139bob2o$1138b2ob2o$1138bobo$1139bo2$
1141b2o!

The queen bee wick, while ugly, is quite synthesizable, I'm pretty sure, especially given how much space you have to work with at (80, 40)c/240. It's just going to be so big given how many stages it's going to take and I'm just too lazy to cobble together the world's saddest "wickstretcher".

Come to think of it, maybe you'd be able to even stretch a wick like this:

Code: Select all

x = 43, y = 84, rule = B3/S23
o$bo$2bo$3bo$4bo$5bo$6bo$3b3o$2bo$3bo$4bo$5bo$6bo$7bo$8bo$9bo$10bo$11b
o$12bo$9b3o$8bo$9bo$10bo$11bo$12bo$13bo$14bo$15bo$16bo$17bo$18bo$15b3o
$14bo$15bo$16bo$17bo$18bo$19bo$20bo$21bo$22bo$23bo$24bo$21b3o$20bo$21b
o$22bo$23bo$24bo$25bo$26bo$27bo$28bo$29bo$30bo$27b3o$26bo$27bo$28bo$
29bo$30bo$31bo$32bo$33bo$34bo$35bo$36bo$33b3o$32bo$33bo$34bo$35bo$36bo
$37bo$38bo$39bo$40bo$41bo$42bo$39b3o$38bo$39bo$40bo$41bo!

You'd presumably work at a very high period, synthesize anchor points far away from each other, extend the ends towards each other a bit at a time, and finally somehow connect them. Unfortunately it's beyond my extremely limited knowledge about synthesis to even guess whether or not these steps would be possible, but given the insane syntheses I've seen in the news I would not bet against it.

amling · Post by **amling** » January 26th, 2024, 3:41 pm

I tried for a 3c/9 LWSS back rake as an even more ridiculous long shot, but I appear to have used up all my luck on the glider version and I found no successful division to c/3 of any length. Longest partial:

Code: Select all

x = 181, y = 20, rule = LifeHistory
F.7B3A7B.F19.F19.F19.F19.F19.F19.F19.F19.F$F.6B2ABA7B.F.9BA7B.F.8B3A
6B.F.7BA9B.F19.F19.F19.F19.F19.F$F.6B3A8B.F.9BA7B.F.8B2A7B.F.8BABA6B.
F.17B.F.17B.F.17B.F19.F19.F$F.7B2A8B.F.6BABA8B.F.17B.F.17B.F.17B.F.
17B.F.17B.F.8BA8B.F.7B3A7B.F$F.17B.F.17B.F.17B.F.17B.F.17B.F.8BA8B.F.
7B3A7B.F.7B3A7B.F.7BA2BA6B.F$F.17B.F.17B.F.17B.F.8BA8B.F.7B3A7B.F.7B
3A7B.F.6BA2BA7B.F.7BAB2A6B.F.7BA9B.F$F.17B.F.8BA8B.F.7B3A7B.F.7B3A7B.
F.7BA2BA6B.F.6B2ABA7B.F.9BA7B.F.8B3A6B.F.7BA9B.F$F.7B3A7B.F.7B3A7B.F.
6BA2BA7B.F.7BAB2A6B.F.7BA9B.F.6B3A8B.F.9BA7B.F.8B2A7B.F.8BABA6B.F$F.
7BA2BA6B.F.6B2ABA7B.F.9BA7B.F.8B3A6B.F.7BA2BA6B.F.7B2A8B.F.6BABA8B.F.
17B.F.17B.F$F.7BA9B.F.6B3A8B.F.9BA7B.F.8BA8B.F.8BA8B.F.17B.F.17B.F.
17B.F.17B.F$F.7BA2BA6B.F.7BABA7B.F.6B2A9B.F.17B.F.17B.F.17B.F.17B.F.
17B.F.8BA8B.F$F.3BABAB2ABA6B.F.3BA13B.F.4BA12B.F.17B.F.17B.F.8BA8B.F.
8B2A7B.F.7B3A7B.F.7B3A7B.F$F.3B2A2B2A8B.F.3BABA11B.F.3BA13B.F.3BABA2B
A8B.F.3BA3B3A7B.F.4BA3B2A7B.F.7B2ABA6B.F.7BA2BA6B.F.7BAB2A6B.F$F.5BA
2BA2BA5B.F.4BA2B2AB2A5B.F.3B3AB3A7B.F.3B2A2B3A7B.F.3BABA4BA6B.F.3BA4B
AB2A5B.F.3BABA2BA2BA5B.F.3BA7BA5B.F.4BA3B3A6B.F$F.9B2ABA4B.F.4BA3BA8B
.F.8BABA6B.F.5BAB2AB2A5B.F.4BA5B2A5B.F.3B3A3B3A5B.F.3B2A3B2ABA5B.F.3B
ABA2B2A7B.F.3BA4BA8B.F$F.3BABA3B2A6B.F.8BABABA4B.F.3B2A5BABA4B.F.7BA
2BABA4B.F.4BA2BA2BA6B.F.7BA9B.F.5BA3BA7B.F.4BA3B3A6B.F.3B3A2BABA6B.F$
F.3BABA2BA3B3A2B.F.2B2ABA4B2ABA3B.F.6BABAB3A4B.F.3BABABA2BA6B.F.7B4AB
A4B.F.3B2A5BABA4B.F.12BA4B.F.4BA12B.F.8BA2BA5B.F$F.3BAB2A3BA6B.F.6B3A
8B.F.3BABA2BA3B2A3B.F.3BABABA2BAB3A2B.F.2B2ABAB2A2BABA3B.F.11B2A4B.F.
3BABA4BA6B.F.9B2ABA4B.F.3B2A4B2ABA4B.F$F19.F19.F19.F.3BA2B2A9B.F.7BA
2BA6B.F.3BAB2A3BAB2A3B.F.3BABA3B2AB3A2B.F.2B2ABABA2B2ABA3B.F.11B2A4B.
F$F19.F19.F19.F19.F19.F19.F.3BA2B4A7B.F.8B2A7B.F.3BAB2ABA3B2A3B.F!

amling · Post by **amling** » January 27th, 2024, 4:53 am

I tried the most recent incarnation of the PD tools trying to get any kind of 4c/10 front for a certain p4 parallel stripes edge, but no real luck. I have plenty of solutions that complete the divide to 2c/5 but solving the resulting 2c/5 problems seems out of my reach. Here is the longest partial, as directly from the PD searches, with 31 W rows of strict 2c/5 (6.2 Y rows). It's likely cutting it back a ways and searching at 2c/5 could get it a little further but it doesn't seem particularly likely to work out, at least to/for me.

Code: Select all

x = 321, y = 28, rule = LifeHistory
F.10B2ABABAB2A10B.F31.F31.F31.F31.F31.F31.F31.F31.F31.F$F.9BABABABABA
BA9B.F.8B2ABABABABAB2A8B.F.11BABABABA11B.F31.F31.F31.F31.F31.F31.F31.
F$F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2AB
ABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F31.F31.F31.F31.
F$F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB2A
8B.F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB
2A8B.F31.F31.F$F.11BABABABA11B.F.10B2ABABAB2A10B.F.10B2ABABAB2A10B.F.
9BABABABABABA9B.F.11BABABABA11B.F.10B2ABABAB2A10B.F.10B2ABABAB2A10B.F
.9BABABABABABA9B.F.11BABABABA11B.F.10B2ABABAB2A10B.F$F.11BABABABA11B.
F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB2A8B.F.11BABABABA11B
.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB2A8B.F.11BABABABA
11B.F.11BABABABA11B.F$F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2AB
ABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB
2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B
2ABABABABAB2A8B.F$F.9BABABABABABA9B.F.8B2ABABABABAB2A8B.F.11BABABABA
11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB2A8B.F.11BABABAB
A11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB2A8B.F$F.10B2AB
ABAB2A10B.F.9BABABABABABA9B.F.11BABABABA11B.F.10B2ABABAB2A10B.F.10B2A
BABAB2A10B.F.9BABABABABABA9B.F.11BABABABA11B.F.10B2ABABAB2A10B.F.10B
2ABABAB2A10B.F.9BABABABABABA9B.F$F.9BABABABABABA9B.F.8B2ABABABABAB2A
8B.F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB
2A8B.F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABA
B2A8B.F$F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F
.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABA
BABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B
.F$F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB
2A8B.F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABABABABA
B2A8B.F.11BABABABA11B.F.11BABABABA11B.F$F.11BABABABA11B.F.10B2ABABAB
2A10B.F.10B2ABABAB2A10B.F.9BABABABABABA9B.F.11BABABABA11B.F.10B2ABABA
B2A10B.F.10B2ABABAB2A10B.F.9BABABABABABA9B.F.11BABABABA11B.F.10B2ABAB
AB2A10B.F$F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABAB
ABABAB2A8B.F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA9B.F.8B2ABA
BABABAB2A8B.F.11BABABABA11B.F.11BABABABA11B.F$F.8B2ABABABABAB2A8B.F.
8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABAB
ABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.
F.8B2ABABABABAB2A8B.F.8B2ABABABABAB2A8B.F$F.3BABA3BABABABABABA3BABA3B
.F.8B2ABABABABAB2A8B.F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABABA
9B.F.8B2ABABABABAB2A8B.F.11BABABABA11B.F.11BABABABA11B.F.9BABABABABAB
A9B.F.8B2ABABABABAB2A8B.F$F.3BABA5BABABABA5BABA3B.F.5B2AB2ABABABABAB
2AB2A5B.F.5B2A4BABABABA4B2A5B.F.5BA4B2ABABAB2A4BA5B.F.10B2ABABAB2A10B
.F.9BABABABABABA9B.F.11BABABABA11B.F.10B2ABABAB2A10B.F.10B2ABABAB2A
10B.F.9BABABABABABA9B.F$F.5BA2B2ABABABABAB2A2BA5B.F.5BA2BA2BABABABA2B
A2BA5B.F.4BA3BA2BABABABA2BA3BA4B.F.4BA3BA2BABABABA2BA3BA4B.F.4B2A3BAB
ABABABABA3B2A4B.F.3BABA2B2ABABABABAB2A2BABA3B.F.11BABABABA11B.F.11BAB
ABABA11B.F.9BABABABABABA9B.F.8B2ABABABABAB2A8B.F$F.3BABABA3BA2BA2BA3B
ABABA3B.F.4BABA2BABAB3ABABA2BABA4B.F.5B3ABABABABABABAB3A5B.F.4BA4BABA
BABABABA4BA4B.F.3B3A2B2ABABABABAB2A2B3A3B.F.3BABA2B2ABABABABAB2A2BABA
3B.F.5B2AB2ABABABABAB2AB2A5B.F.5B2AB2ABABABABAB2AB2A5B.F.5BA2B2ABABAB
ABAB2A2BA5B.F.8B2ABABABABAB2A8B.F$F.9BA2BA3BA2BA9B.F.7BABABA5BABABA7B
.F.5B5AB2ABAB2AB5A5B.F.4BA4BABA2BA2BABA4BA4B.F.11BA2BA2BA11B.F.5BA5BA
BABABA5BA5B.F.5BA3BABABABABABA3BA5B.F.4BA4BABABABABABA4BA4B.F.4BA6BAB
ABABA6BA4B.F.4B2A5BABABABA5B2A4B.F$F.6B2AB2A7B2AB2A6B.F.6BA3BA7BA3BA
6B.F.5B2ABA2BA2BA2BA2BAB2A5B.F.8B4A5B4A8B.F.3B2A3B2ABABABABAB2A3B2A3B
.F.3BABABABABA2BA2BABABABABA3B.F.4BABABA2BAB3ABA2BABABA4B.F.5B5ABABAB
ABAB5A5B.F.4BA6BABABABA6BA4B.F.3B3A4B2ABABAB2A4B3A3B.F$F.3BA2B4A4BA4B
4A2BA3B.F.4B2A3B2A2B3A2B2A3B2A4B.F.4B2A7B3A7B2A4B.F.3B2A2BA3BAB3ABA3B
A2B2A3B.F.3B3AB3ABA5BAB3AB3A3B.F.9BA2BA3BA2BA9B.F.7BABABA5BABABA7B.F.
5B5AB2ABAB2AB5A5B.F.4BA6BA2BA2BA6BA4B.F.9BABA2BA2BABA9B.F$F.3BABABA5B
3A5BABABA3B.F.2B3A4B2ABA3BAB2A4B3A2B.F.2BABABA4B2A3B2A4BABABA2B.F.4BA
BA5B5A5BABA4B.F.4BAB2A13B2ABA4B.F.6B2AB2A7B2AB2A6B.F.6BA3BA7BA3BA6B.F
.5B2ABA2BA2BA2BA2BAB2A5B.F.8B4A5B4A8B.F.3B2A3B2ABABABABAB2A3B2A3B.F$F
.2BA4BABABAB3ABABABA4BA2B.F.2BA3B2ABA3BABA3BAB2A3BA2B.F.2BA4BA13BA4BA
2B.F.2BA2BABA3B2A3B2A3BABA2BA2B.F.3BA6BA7BA6BA3B.F.3BA2B4A4BA4B4A2BA
3B.F.4B2A3B2A2B3A2B2A3B2A4B.F.4B2A7B3A7B2A4B.F.3B2A2BA3BAB3ABA3BA2B2A
3B.F.3B3AB3ABA5BAB3AB3A3B.F$F.3B2A3B2ABA5BAB2A3B2A3B.F.8B2A9B2A8B.F.
3BA2B2A3BA2BA2BA3B2A2BA3B.F.4B2A4B2A2BA2B2A4B2A4B.F.3B3A2B2A3B3A3B2A
2B3A3B.F.3BABABA5B3A5BABABA3B.F.2B3A4B2ABA3BAB2A4B3A2B.F.2BABABA4B2A
3B2A4BABABA2B.F.4BABA5B5A5BABA4B.F.4BAB2A13B2ABA4B.F$F31.F31.F.2B3AB
2ABAB7ABAB2AB3A2B.F.2BA4BAB2A2BABA2B2ABA4BA2B.F.4BA2B3ABA2BA2BAB3A2BA
4B.F.2BA4BABABAB3ABABABA4BA2B.F.2BA3B2ABA3BABA3BAB2A3BA2B.F.2BA4BA13B
A4BA2B.F.2BA2BABA3B2A3B2A3BABA2BA2B.F.3BA6BA7BA6BA3B.F$F31.F31.F31.F
31.F31.F.3B2A3B2ABA5BAB2A3B2A3B.F.8B2A9B2A8B.F.3BA2B2A3BA2BA2BA3B2A2B
A3B.F.4B2A4B2A2BA2B2A4B2A4B.F.3B3A2B2A3B3A3B2A2B3A3B.F$F31.F31.F31.F
31.F31.F31.F31.F.2B3AB2ABAB7ABAB2AB3A2B.F.2BA4BAB2A2BABA2B2ABA4BA2B.F
.4BA2B3ABA2BA2BAB3A2BA4B.F!

amling · Post by **amling** » January 28th, 2024, 5:40 pm

I was thinking about the c/4d ship eater problem and thought maybe coming at it from both sides would be easier. The problem is I can't really afford to wildcard the axis of symmetry. While playing with it in golly I thought a reaction like this might work:

Code: Select all

x = 8, y = 8, rule = B3/S23
6bo$6b2o$3b2o2bo$2bobo$2b2o2$2o$b2o!

So I picked those exact 3 center half-diagonals and, using skewed geometry, tried to solve one side of it. A constraint file like this represents a c/4d pattern on the SW hitting a line of ships in the way the above reaction would and repairing itself within/after 2 generations of interaction. Note the NE-most half diagonal is lies I have filled in something like the above reaction. The skewed geometry requires starting with 4 half diagonals but doesn't, at least in this application, meaningfully read that first half diagonal.

Code: Select all

|                   |                   |                   |                   |                   |                   |                   |                   |                   |                   |                   |                   | B                 | B                 | B                 | B                 |
|                   |                   |                   |                   |                   |                   |                   |                   |  B                |  B                |  B                |  B                | .A                | .A                | .A                | .A                |
|                   |                   |                   |                   |   B               |   B               |   B               |   B               |  .A               |  .A               |  .A               |  .A               | ..D               | ..D               | ..D               | ..D               |
|    B              |    B              |    B              |    B              |   *A              |   *A              |   *A              |   *A              |  **D              |  **D              |  **D              |  **D              | .**C              | .**C              | .**C              | .**C              |
|    .A             |    .A             |    .A             |    .A             |   *.D             |   *.D             |   *.D             |   *.D             |  .*.C             |  .*.C             |  .*.C             |  .*.C             | *.*.B             | *.*.B             | *.*.B             | *.*.B             |
|    ..D            |    ..D            |    ..D            |    ..D            |   ...C            |   ...C            |   ...C            |   ...C            |  *...B            |  *...B            |  *...B            |  *...B            | **...A            | **...A            | **...A            | **...A            |
|    ...C           |    ...C           |    ...C           |    ...C           |   ....B           |   ....B           |   ....B           |   ....B           |  .....A           |  .....A           |  .....A           |  .....A           | ......u           | ......u           | ......u           | ......u           |
|    ..**B          |    ..**B          |    ..**B          |    ..**B          |   ...**A          |   ...**A          |   ...**A          |   ...**A          |  ....**u          |  ....**u          |  ....**u          |  ....**u          | .....**u          | .....**u          | .....**u          | .....**u          |
|    .*.*.A         |    .*.*.A         |    .*.*.A         |    .*.*.A         |   ..*.*.u         |   ..*.*.u         |   ..*.*.u         |   ..*.*.u         |  ...*.*.u         |  ...*.*.u         |  ...*.*.u         |  ...*.*.u         | ....*.*.u         | ....*.*.u         | ....*.*.u         | ....*.*.u         |
|    .**...u        |    .**...u        |    .**...u        |    .**...u        |   ..**...u        |   ..**...u        |   ..**...u        |   ..**...u        |  ...**...u        |  ...**...u        |  ...**...u        |  ...**...u        | 4...**...u        | 4...**...u        | 4...**...u        | 4...**...u        |
|    .......u       |    .......u       |    .......u       |    .......u       |   ........u       |   ........u       |   ........u       |   ........u       |  4........u       |  4........u       |  4........u       |  4........u       | 44........u       | 44........u       | 44........u       | 44........u       |
|    ......**u      |    ......**u      |    ......**u      |    ......**u      |   4......**u      |   4......**u      |   4......**u      |   4......**u      |  44......**u      |  44......**u      |  44......**u      |  44......**u      |  44......**R      |  44......**R      |  44......**R      |  44......*.R      |
|    4....*.*.u     |    4....*.*.u     |    4....*.*.u     |    4....*.*.u     |   44....*.*.u     |   44....*.*.u     |   44....*.*.u     |   44....*.*.u     |   44....*.*.R     |   44....*.*.R     |   44....*.*.R     |   44....*.*.R     |   44....*.*.R     |   44....*.*.R     |   44....*.*.R     |   44....*...R     |
|    44...**...u    |    44...**...u    |    44...**...u    |    44...**...u    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44...**...R    |    44..WW....R    |
|     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........R   |     44........    |     44........    |     44.WWW....    |     44WWWW....    |
|      44........R  |      44........R  |      44........R  |      44........R  |      44........R  |      44........R  |      44........R  |      44........R  |      44........   |      44........   |      44........   |      44........   |      44.......    |      444444...    |      444444...    |      4WWWWW...    |
|       44........R |       44........R |       44........R |       44........R |       44........  |       44........  |       44........  |       44........  |       44.......   |       444444...   |       444444...   |       444444...   |       444444..    |       444444..    |       444444..    |       444444..    |
|        44........ |        44........ |        44........ |        44........ |        44.......  |        444444...  |        444444...  |        444444...  |        444444..   |        444444..   |        444444..   |        444444..   |        444444.    |        444444.    |        444444.    |        444444.    |
|         44....... |         444444... |         444444... |         444444... |         444444..  |         444444..  |         444444..  |         444444..  |         444444.   |         444444.   |         444444.   |         444444.   |         444444    |         444444    |         444444    |         444444    |
|          444444.. |          444444.. |          444444.. |          444444.. |          444444.  |          444444.  |          444444.  |          444444.  |          444444   |          444444   |          444444   |          444444   |          44444    |          44444    |          44444    |          44444    |
|           444444. |           444444. |           444444. |           444444. |           444444  |           444444  |           444444  |           444444  |           44444   |           44444   |           44444   |           44444   |           4444    |           4444    |           4444    |           4444    |
|            444444 |            444444 |            444444 |            444444 |            44444  |            44444  |            44444  |            44444  |            4444   |            4444   |            4444   |            4444   |            444    |            444    |            444    |            444    |
|             44444 |             44444 |             44444 |             44444 |             4444  |             4444  |             4444  |             4444  |             444   |             444   |             444   |             444   |             44    |             44    |             44    |             44    |
|              4444 |              4444 |              4444 |              4444 |              444  |              444  |              444  |              444  |              44   |              44   |              44   |              44   |              4    |              4    |              4    |              4    |
|               444 |               444 |               444 |               444 |               44  |               44  |               44  |               44  |               4   |               4   |               4   |               4   |                   |                   |                   |                   |
|                44 |                44 |                44 |                44 |                4  |                4  |                4  |                4  |                   |                   |                   |                   |                   |                   |                   |                   |
|                 4 |                 4 |                 4 |                 4 |                   |                   |                   |                   |                   |                   |                   |                   |                   |                   |                   |                   |

Searching with such a twisted geometry performs horribly, but at least `grid-tool` has made writing such constraint files much, much easier. Searches are very much still in progress (not even 8G for two interaction generations has finished and I would definitely also want to try more than two generations of interaction), but in the mean time I was able to squeeze some sort of semi-viable engage out of partials already output:

Code: Select all

x = 51, y = 51, rule = B3/S23
17bo3b2o$18bo3bobo$17bob2o3bo$17bobo$21bobo$18bo4b2o$18bob2obo$18bo4bo
$21bobo$19bo3bo$19b2obo23bo$23b3o20b3o$19b3o2bobo4bo4bo5b3o4bo$21bo3b
3o2b4ob5ob3o5bo$21b3o2bo3bo6b2obo$26b2o8bo5b5o2bo$23bo2b2o3b2o3bo2bobo
b2o2b2o$ob2o26b7obob2o6b2o$bo3b3o17b2o4bo3bo6b4o$2b2o5b2obo18b2obo7b2o
2bo3bo$2bo3bo3bobo13bo3bo4b2o8bo3bo$o3bobobo3b3o11b2o4b3o3b2ob3o3b4o$
2o8bo3bo8b2o3b2o3b2o3b2o5bobo2bo$4b6obo2bobo5bobo11b2o4bo2bobo$b2o2bo
5b2o9b2o11bo6bo$11bobo4bo16bo2bobo$12b5obob2o$13bob2o4bo$22bo$22bo$13b
2o2bo2bo$12b2o2b4o$13bo2b2obobo$13bo3bo3b2o$17bobob2o$13bo3b2obo3b2o$
12b2ob3o2bo2bo$13b2o8bo$13b2o2bo3b2o2bo$13bo2bo4b2o$14bo2bo7bo$13bo2b
2o3bo$12b2obo2b2obob2o$12b2ob2ob2obo$12bo2b2obo$15bo2bobob2o$10b2o3bo
3bo$11bo4bo4b3o$11bo4b2o3bo$12b2obobo2b2o$19bob2o!

It's two ugly, ugly branches so I'm not gonna try too hard to solve it just yet, waiting instead to see if anything better comes out of the initial engagement searches.

amling · Post by **amling** » January 28th, 2024, 8:55 pm

amling wrote: ↑

January 28th, 2024, 5:40 pm

(c/4d two-sided ship eaters)

Code: Select all

x = 51, y = 51, rule = B3/S23
17bo3b2o$18bo3bobo$17bob2o3bo$17bobo$21bobo$18bo4b2o$18bob2obo$18bo4bo
$21bobo$19bo3bo$19b2obo23bo$23b3o20b3o$19b3o2bobo4bo4bo5b3o4bo$21bo3b
3o2b4ob5ob3o5bo$21b3o2bo3bo6b2obo$26b2o8bo5b5o2bo$23bo2b2o3b2o3bo2bobo
b2o2b2o$ob2o26b7obob2o6b2o$bo3b3o17b2o4bo3bo6b4o$2b2o5b2obo18b2obo7b2o
2bo3bo$2bo3bo3bobo13bo3bo4b2o8bo3bo$o3bobobo3b3o11b2o4b3o3b2ob3o3b4o$
2o8bo3bo8b2o3b2o3b2o3b2o5bobo2bo$4b6obo2bobo5bobo11b2o4bo2bobo$b2o2bo
5b2o9b2o11bo6bo$11bobo4bo16bo2bobo$12b5obob2o$13bob2o4bo$22bo$22bo$13b
2o2bo2bo$12b2o2b4o$13bo2b2obobo$13bo3bo3b2o$17bobob2o$13bo3b2obo3b2o$
12b2ob3o2bo2bo$13b2o8bo$13b2o2bo3b2o2bo$13bo2bo4b2o$14bo2bo7bo$13bo2b
2o3bo$12b2obo2b2obob2o$12b2ob2ob2obo$12bo2b2obo$15bo2bobob2o$10b2o3bo
3bo$11bo4bo4b3o$11bo4b2o3bo$12b2obobo2b2o$19bob2o!

It's two ugly, ugly branches so I'm not gonna try too hard to solve it just yet, waiting instead to see if anything better comes out of the initial engagement searches.

I really should leave the computer to run the engagement searches rather than try to solve the very first semi-viable engagement that popped out. Alas, I could not resist trying but still no luck. Here is a different split with a solved back and a comparable front:

Code: Select all

x = 62, y = 62, rule = B3/S23
21bo2b2o3b2o$21b2o$22b2obobob2o$26b4obo$22bobo2b2o$22b2obo$22b3o2bo$
28bob2o$27bob2o$23b2obobobo$23bo2bo3b2o$23bo4bo2bo$22bo4bo$23b2obob3o$
24b2o$27b3o$25b2o2bo$25b2o3bo6b2o$30bo5b2o$26b2o9bobo$37b3o$2o25bo3b3o
3b2o$b2ob3o5bo14b2o3b3o4bobo12bo$2bo2b2o2b3obo10b2o3b2o3bo18b2o$o3bobo
2bo3b2o8bobo8bo6bobob5ob2ob2o$obo2bo8bob2o5b2o10bo7b4o5b2o$3bo5b2o2bo
2b2obo22bo8bo$2b3obobo3bo2bo3bob2o18bo3bo7bo$3b2o2bobobobobo6bo18bo12b
o$ob2o4bo4bob2o6bo17bobo10b2o$obo4b4o2bo3b2o4bo33bo2bo$3bo3bo2b2o9bo
33bob3obo$21b2o32bo3bobo$21b2o33bo$22b3o$25bo$18bo$17b5o$17bo2b2o$19b
2obo2$22bobo2b3o$26bo$24b2o3bo$25bo$24b2obo$24b2o$24bo$24bo$24bo2$24bo
bo$24b2o$23bobobo$22b3o3b2o$24bo4bob2o$33bo$30b2o$31bo$31b2o$30bo$31b
2o!

Haycat2009 · Post by **Haycat2009** » January 28th, 2024, 9:06 pm

Got any idea how to make a polyglot cordership (that works in B3/S23 and B3/S236e)?

amling · Post by **amling** » January 28th, 2024, 11:12 pm

Haycat2009 wrote: ↑
January 28th, 2024, 9:06 pm
Got any idea how to make a polyglot cordership (that works in B3/S23 and B3/S236e)?

I might start trying to make one that works at all in B3/S236e (or has this already been done?). I might start that by trying to get one switch engine stabilized at all, even puffing (or has this already been done?).

My expertise and tools are unfortunately rather distant from this part of the world and neither LGOL nor LLSSS is close to being relevant here (e.g. they require a pre-specified velocity which I guess we'd be aiming for 8c/96d and that 96 is an order of magnitude out of range).

If I were tasked with this I guess I would probably try to repeatedly simulate switch engines with random clouds of debris behind them at a distance and see if any exhibited infinite growth. Then something something get lucky and figure out how to cancel the debris with more switch engines? I'm not even sure how existing corderships were/are found.

confocaloid · Post by **confocaloid** » January 28th, 2024, 11:47 pm

amling wrote: ↑
January 28th, 2024, 11:12 pm

Haycat2009 wrote: ↑
January 28th, 2024, 9:06 pm
Got any idea how to make a polyglot cordership (that works in B3/S23 and B3/S236e)?
I might start trying to make one that works at all in B3/S236e (or has this already been done?). I might start that by trying to get one switch engine stabilized at all, even puffing (or has this already been done?).
[...]

The following two known Corderships (copied from ror_stdin_test/xq96) evolve identically in B3/S23 and B3/S236e:

Code: Select all

#C https://catagolue.hatsya.com/object/xq96_yy33zyqooxo84v896y3g8gzywcg84y412210oozyi66yaggzyaggyhs331yc2552zya11yrgg0o4szy2ccyz33022zyzyvciczo84v896y3g8gyzy7gggy8ccz0cg84y412210ooyzy2roq21yb6952zxggzws331yc2552yzy3gggcecy0g84w8ep9axcczy8gg0o4syzym11w23zy833022yzyr33zyzcicyxoozysgggy8cczyqroq21yb6952yd66zyzykggzyxgggcecy0g84w8ep9ay211zyzy511w23/b3s236e
x = 97, y = 97, rule = B3/S236e
38b2o$38b2o4$38bobo$38bo2bo$37b2o2bo$30b2o3b2ob3o9bo$30b2o3bo2bo10bobo$48bo2b
o$49b2o$36bo2bo$36bobo14b2o$37bo15b2o2$22b2o$22b2o2$38b2o$38b3o17b2o$38b2o17b
o2bo$37bo20b2o$37bo$14b2o21bo$14b2o2$51b2o$50bobo$47b2obobo$47b2o$47b2ob2o$6b
2o$6b2o3$75bo$74bobo$74bobo$75bo$3bobo$3bo2bo$2b2o2bo75b2o$2ob3o9bo66b2o$o2bo
10bobo50b3o$13bo2bo48bo3bo16b2o$14b2o49bob2o16bo2bo$bo2bo80bobo$bobo14b2o45b
3o18bo$2bo15b2o45b3o5$3b2o$3b3o17b2o64b2o$3b2o17bo2bo50bo11bo2bo$2bo20b2o50b
3o6bo3bo6b2o$2bo72b3o5bo3b5o3b2o$2bo69b3o7bo6bo$83b2o3bo$87b2o$16b2o$15bobo$
12b2obobo$12b2o73b2o$12b2ob2o70b2o5$40bo$39bobo$39bobo37b2o$40bo38b2o3$47b2o$
47b2o$32b3o$30bo3bo16b2o$30bob2o16bo2bo17b2o$50bobo18b2o$30b3o18bo$30b3o5$63b
2o$54b2o7b2o$41bo11bo2bo$40b3o6bo3bo$40b3o5bo3b5o$37b3o7bo6bo$48b2o3bo$52b2o!

Code: Select all

#C https://catagolue.hatsya.com/object/xq96_yl573w8aegvzypgyb33zyo343yioozyae0oooydo4ozyd3e8yd1yj66z573w8aegvy117231yzy6ggzy8g88gyzya11zy911yzy2573w8aegvy3cczw442cia049uo239e4w4aa4yz0gzyzyk343zy433yze0oooydo4ozycooyu3e8yd1zyv573w8aegvy117231zyk66yhg88gzysggya11zys11x442cia049uo239e4w4aa4zyz0cc/b3s236e
x = 79, y = 84, rule = B3/S236e
25b3o6bo$26b2o3b2obo$25b2o5bobo$30b3obo$33b2o$45b2o$45b2o3$29bo$28bobo$28bobo
$29bo$53b2o$53b2o2$14bo$14bo22bo$14bob3o17bobo$16b3o17bobo$17bo19bo$17b2o42b
2o$18bo42b2o$18b2o2$3o6bo5b2ob2o$b2o3b2obo6b3o$2o5bobo6bo$5b3obo$8b2o59b2o$
69b2o3$13b2o$12bo2bo$13b2o45b3o6bo$61b2o3b2obo$60b2o5bobo7b2o$65b3obo7b2o$68b
2o$10bo3b2o$4bob2o3bob2obo4b2o$2b2obo3bobo4b2o2bo2bo$5bobo2b3o2b2o4b2o$6bo4b
2o51bo$63bobo$63bobo$64bo3$8b2o$8b2o39bo$49bo22bo$49bob3o17bobo$51b3o17bobo$
52bo19bo$52b2o$53bo$16b2o35b2o$16b2o$35b3o6bo5b2ob2o$36b2o3b2obo6b3o$35b2o5bo
bo6bo$40b3obo$43b2o2$24b2o$24b2o$48b2o$47bo2bo$48b2o4$32b2o$32b2o11bo3b2o$39b
ob2o3bob2obo4b2o$37b2obo3bobo4b2o2bo2bo$40bobo2b3o2b2o4b2o$41bo4b2o3$40b2o$
40b2o!

Edit: I believe those are from this forum post:

wwei23 wrote: ↑

September 23rd, 2020, 11:36 pm

goldenratio wrote: ↑
September 23rd, 2020, 11:31 pm
Is there even a way to stabilize the switch engine in that rule at all?

I was able to make these three corderships from the things in my cordership collection that actually worked at all. Two are mutually-canceling puffers, and one just happened to work in this rule as a spaceship as well.

Code: Select all

x = 288, y = 98, rule = B3/S236e
19bobo126bo92b3o$19bobo4b3obo115b2ob2o90bobo$18bo5bo4bob2o207bo3bo$18b
o2bo2bo4b2o115b2o92bo3bo$18bo2bo2bo121bo78b2o17bo$20bo4bo105b2o15bo3bo
72b2o11b2o4bo$8b2o16bo2bo101b2o11bo3bo88bo6bo$8b2o17b2o208bo5bo$242b2o
$150bo86bo3bo$147b3o76b2o10bobo$226bo$131bo85b2o6b3o$21bo101b2o6bobo
13b3o67b2o22b3o$2o18bobo100b2o6bobo92bo13bo3bo$2o17bo2bo18bo90bo16bo
75bo14bo2bo$20b2o17b2ob2o87b2o92b2o13b2o$39b2o90b2o7bo$24b2o15b3o95bob
o103bo$24b2o11bo3bo97bobo14bo87bobo2b2o7b2o$38bo3bo97bo6b2o5b2ob4o48b
2o32bo3b4o6b3o$37bob3o73b2o36b2ob3ob2o47b2o35bo7bobob2o$32bo5b2o75b2o
30bo6bob3obo67b2obo9b2obo10b2o$31bobo4bobo89b2o14b2o4b4o3bo69bo3bo8bob
o$31bobo5bo90b3o18b3ob2o72bo3bo9bo$32bo6b2o87bo3bo18b5o17bo57bobo$8b3o
28b2o86bo5bo20bo16b2ob2o$7bo3bo26b2o87bo5bo$9b2o27b3o87bob2obo37b2o28b
2o38bo24b3o$4b2ob2o45bobo50b2o22bo39bo29b2o37bobo23b3o$5b2o45bobobo50b
2o24bo39bo3bo62bobo24bo$51bob2o2bo71b4obo34bo3bo67bo23b2o$44bob2obobo
3b2o73b5o130bo$44b5ob2o3b2o75bo30b2o101bo$18bo25b2o3b2obo109bo2bo9bo$
17bobo31bobo59bo49b2o7b3o31b3o$17bobo91b2ob2o90bobo$16bo2bo79b2o104bo
3bo57b2o$16bobo80b2o10b2o59b3o30bo3bo57b2o$15bo32b2o61bo60b3o34bo57bo$
15b2o30bo2bo19bo42bo3bo52b2ob2o28b2o4bo57bo$16bo31b2o20bo38bo3bo41b2o
13bo31bo6bo56bobo$69bobo82bo2bo12b3o29bo5bo60bo$66bo2b2o84b2o50b2o55b
2o2bo4bo7b5o$65bo5bo23b2o18bo86bo3bo56bo3bo4bobo4b2o5b2o$65bo5bo18bo6b
o14b3o76b2o10bobo51b2o5b2o8bo4bo7bo$66bo4bo18bo3b3o94bo64bo2bo5bo5bo2b
o3bo7b2o$53b2o12bo22bo4bo94b3o64b2o12b3o3bo6b2o$53b2o13b3o41b3o91b3o
73bo$191bo13bo3bo67bo4bo$57b2o55bo53b2o20bo14bo2bo69bob2o$56bo2bo8b2ob
2o95b2o20b2o13b2o$56bobo8bo37bo$35b3o19bo13b2o31bobo103bo$34bo3bo29b3o
33bobo14bo87bobo2b2o7b2o37b3o$36b2o67bo6b2o5b2ob4o82bo3b4o6b3o$31b2ob
2o82b2ob3ob2o84bo7bobob2o37bo2bo$32b2o78bo6bob3obo67b2obo9b2obo10b2o$
95b2o14b2o4b4o3bo35b2o32bo3bo8bobo53b3o$95b3o18b3ob2o38b2o32bo3bo9bo
56bo$93bo3bo18b5o17bo57bobo76bobo$45bo46bo5bo20bo16b2ob2o130bobob3o4b
2o$44bobo45bo5bo172b2o2bo6b2o$44bobo18b2o26bob2obo37b2o68bo24b3o$43bo
2bo18b2o29bo39bo68bobo23b3o$43bobo52bo39bo3bo62bobo24bo$42bo51b4obo34b
o3bo13b2o52bo23b2o$42b2o51b5o52b2o76bo$43bo53bo30b2o101bo$127bo2bo9bo
133b2o$128b2o7b3o134b2o$57b2o$57b2o173b2o$137b3o92b2o$137b3o4b2o86bo$
135b2ob2o4b2o86bo$120b2o13bo95bobo$119bo2bo12b3o96bo31b2o$120b2o107b2o
2bo4bo7b5o15b2o$228bo3bo4bobo4b2o5b2o$222b2o5b2o8bo4bo7bo$221bo2bo5bo
5bo2bo3bo7b2o$136b2o84b2o12b3o3bo6b2o$136b2o109bo$242bo4bo$243bob2o11b
2o$258b2o3$227b3o2$227bo2bo2$228b3o$230bo$240bobo$236bobob3o$236b2o2bo
!

amling · Post by **amling** » January 29th, 2024, 4:23 am

amling wrote: ↑
January 24th, 2024, 4:20 pm

NooneAtAll3 wrote: ↑
January 24th, 2024, 5:45 am
how hard would it be to search for oscillators with low heat? (low amount of cells changed per generation)

"that Burloaferimeter is the only known oscillator with a heat lower than 2?" dyk on wiki's frontpage seems like an interesting challenge
Maybe. It is complicated by a few issues...

...

p8: 11 changes -> nothing (512s, ~4.9GB). 12 changes did not complete in 8GB so now this project has to wait in line for access to real memory.

On fanciest computer:

p8: 15 changes -> nothing (43m, ~78.8GB). 16 changes would find e.g. blinker.

p9: 13 changes -> nothing (24m, ~53.8GB). 14 changes hit 120GB limit and died.

amling · Post by **amling** » January 29th, 2024, 10:40 pm

I had dreamed of trying to make a trivial LCM spaceship like that trivial p6 oscillator. The simplest choice is 6c/12 where cells are grouped in an obvious way into 6 cell cohorts. Now it's possible for a cohort to be 2c/4 (division in 3) or 3c/6 (division in 2). A constraint file like this (but longer) can enforce two touching side-by-side 2c/4 and 3c/6 cohorts but then also that the entire west side of the pattern is 3c/6 and the entire east side is 2c/4:

Code: Select all

|          |          |          |          |          |          |          |          |          |          | LLLuuRRR | 22223333 |
|          |          |          |          |          |          |          |          | LLLuuRRR | 22223333 | 22223333 | 22223333 |
|          |          |          |          |          |          | LLLuuRRR | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
|          |          |          |          | LLLuuRRR | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
|          |          | LLLuuRRR | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| LLLuuRRR | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 222..333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 222**333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 222..333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 222.*333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 222*.333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 222.*333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |          |          |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |          |          |          |          |
| 22223333 | 22223333 | 22223333 | 22223333 | 22223333 | 22223333 |          |          |          |          |          |          |
| 22223333 | 22223333 | 22223333 | 22223333 |          |          |          |          |          |          |          |          |
| 22223333 | 22223333 |          |          |          |          |          |          |          |          |          |          |

And a similar constraint file for the other way to force 3c/6, more files varying by how many rows before the forced cells, etc. These searches are still in progress, but somewhere in the partials I spotted a reasonable choice of split and ultimately switched to trying the two halves s2s. An example partial:

Code: Select all

x = 373, y = 34, rule = LifeHistory
F6.23B.F6.23B.F5.23B2.F5.23B2.F4.23B3.F4.23B3.F3.23B4.F3.23B4.F2.23B
5.F2.23B5.F.23B6.F.23B6.F$F6.23B.F6.23B.F5.23B2.F5.23B2.F4.23B3.F4.
23B3.F3.23B4.F3.23B4.F2.23B5.F2.23B5.F.23B6.F.23B6.F$F6.12BA2BA7B.F6.
23B.F5.23B2.F5.12B2A9B2.F4.12BA2BA7B3.F4.23B3.F3.23B4.F3.12B2A9B4.F2.
12BA2BA7B5.F2.23B5.F.23B6.F.12B2A9B6.F$F6.11BA11B.F6.11B2A10B.F5.11B
4A8B2.F5.11B4A8B2.F4.11BA11B3.F4.11B2A10B3.F3.11B4A8B4.F3.11B4A8B4.F
2.11BA11B5.F2.11B2A10B5.F.11B4A8B6.F.11B4A8B6.F$F6.11BA3BA7B.F6.10B2A
B2A8B.F5.11BA3BA7B2.F5.10B2AB2A8B2.F4.11BA3BA7B3.F4.10B2AB2A8B3.F3.
11BA3BA7B4.F3.10B2AB2A8B4.F2.11BA3BA7B5.F2.10B2AB2A8B5.F.11BA3BA7B6.F
.10B2AB2A8B6.F$F6.11B4A8B.F6.11B4A8B.F5.11BA11B2.F5.11B2A10B2.F4.11B
4A8B3.F4.11B4A8B3.F3.11BA11B4.F3.11B2A10B4.F2.11B4A8B5.F2.11B4A8B5.F.
11BA11B6.F.11B2A10B6.F$F6.23B.F6.12B2A9B.F5.12BA2BA7B2.F5.23B2.F4.23B
3.F4.12B2A9B3.F3.12BA2BA7B4.F3.23B4.F2.23B5.F2.12B2A9B5.F.12BA2BA7B6.
F.23B6.F$F6.17BA5B.F6.23B.F5.23B2.F5.16B2A5B2.F4.17BA5B3.F4.23B3.F3.
23B4.F3.16B2A5B4.F2.17BA5B5.F2.23B5.F.23B6.F.16B2A5B6.F$F6.20BA2B.F6.
16BA6B.F5.16B3A4B2.F5.16B4A3B2.F4.20BA2B3.F4.16BA6B3.F3.16B3A4B4.F3.
16B4A3B4.F2.20BA2B5.F2.16BA6B5.F.16B3A4B6.F.16B4A3B6.F$F6.15B2A3BA2B.
F6.15B3A2BA2B.F5.15BA3B2A2B2.F5.14B2ABA2BA2B2.F4.15B2A3BA2B3.F4.15B3A
2BA2B3.F3.15BA3B2A2B4.F3.14B2ABA2BA2B4.F2.15B2A3BA2B5.F2.15B3A2BA2B5.
F.15BA3B2A2B6.F.14B2ABA2BA2B6.F$F6.14BABAB2A3B.F6.13B2ABAB2A3B.F5.14B
2A3B2A2B2.F5.13BA3BA5B2.F4.14BABAB2A3B3.F4.13B2ABAB2A3B3.F3.14B2A3B2A
2B4.F3.13BA3BA5B4.F2.14BABAB2A3B5.F2.13B2ABAB2A3B5.F.14B2A3B2A2B6.F.
13BA3BA5B6.F$F6.13B2A2B2A4B.F6.13BA2B2A5B.F5.13B2AB4A3B2.F5.13BA2B2A
5B2.F4.13B2A2B2A4B3.F4.13BA2B2A5B3.F3.13B2AB4A3B4.F3.13BA2B2A5B4.F2.
13B2A2B2A4B5.F2.13BA2B2A5B5.F.13B2AB4A3B6.F.13BA2B2A5B6.F$F6.14B2A3BA
3B.F6.13BA9B.F5.14BABA2BA3B2.F5.13B2A5BA2B2.F4.14B2A3BA3B3.F4.13BA9B
3.F3.14BABA2BA3B4.F3.13B2A5BA2B4.F2.14B2A3BA3B5.F2.13BA9B5.F.14BABA2B
A3B6.F.13B2A5BA2B6.F$F6.15B3A5B.F6.14B2AB2A4B.F5.15BAB3A3B2.F5.15B3AB
A3B2.F4.15B3A5B3.F4.14B2AB2A4B3.F3.15BAB3A3B4.F3.15B3ABA3B4.F2.15B3A
5B5.F2.14B2AB2A4B5.F.15BAB3A3B6.F.15B3ABA3B6.F$F6.17BA5B.F6.17BA5B.F
5.18BA4B2.F5.23B2.F4.17BA5B3.F4.17BA5B3.F3.18BA4B4.F3.23B4.F2.17BA5B
5.F2.17BA5B5.F.18BA4B6.F.23B6.F$F6.23B.F6.17BA5B.F5.18B2A3B2.F5.23B2.
F4.23B3.F4.17BA5B3.F3.18B2A3B4.F3.23B4.F2.23B5.F2.17BA5B5.F.18B2A3B6.
F.23B6.F$F6.15B3A5B.F6.15B3A5B.F5.15B2AB2A3B2.F5.15BA7B2.F4.15B3A5B3.
F4.15B3A5B3.F3.15B2AB2A3B4.F3.15BA7B4.F2.15B3A5B5.F2.15B3A5B5.F.15B2A
B2A3B6.F.15BA7B6.F$F6.14BA2BA5B.F6.14B2ABA5B.F5.14BA3BA4B2.F5.14B3AB
2A3B2.F4.14BA2BA5B3.F4.14B2ABA5B3.F3.14BA3BA4B4.F3.14B3AB2A3B4.F2.14B
A2BA5B5.F2.14B2ABA5B5.F.14BA3BA4B6.F.14B3AB2A3B6.F$F6.13BA9B.F6.13B2A
8B.F5.13BA3BA5B2.F5.13B2A8B2.F4.13BA9B3.F4.13B2A8B3.F3.13BA3BA5B4.F3.
13B2A8B4.F2.13BA9B5.F2.13B2A8B5.F.13BA3BA5B6.F.13B2A8B6.F$F6.12BA2BA
7B.F6.12B2A2BA6B.F5.12BA2BA7B2.F5.12B2A9B2.F4.12BA2BA7B3.F4.12B2A2BA
6B3.F3.12BA2BA7B4.F3.12B2A9B4.F2.12BA2BA7B5.F2.12B2A2BA6B5.F.12BA2BA
7B6.F.12B2A9B6.F$F6.12BA3B2A5B.F6.11B2A5BA4B.F5.12BA10B2.F5.11B2A10B
2.F4.12BA3B2A5B3.F4.11B2A5BA4B3.F3.12BA10B4.F3.11B2A10B4.F2.12BA3B2A
5B5.F2.11B2A5BA4B5.F.12BA10B6.F.11B2A10B6.F$F6.12B7A4B.F6.12BA10B.F5.
12B2A9B2.F5.12B6A5B2.F4.12B7A4B3.F4.12BA10B3.F3.12B2A9B4.F3.12B6A5B4.
F2.12B7A4B5.F2.12BA10B5.F.12B2A9B6.F.12B6A5B6.F$F6.14B5A4B.F6.18BA4B.
F5.14B5A4B2.F5.18BA4B2.F4.14B5A4B3.F4.18BA4B3.F3.14B5A4B4.F3.18BA4B4.
F2.14B5A4B5.F2.18BA4B5.F.14B5A4B6.F.18BA4B6.F$F6.23B.F6.13B5A5B.F5.
14B5A4B2.F5.23B2.F4.23B3.F4.13B5A5B3.F3.14B5A4B4.F3.23B4.F2.23B5.F2.
13B5A5B5.F.14B5A4B6.F.23B6.F$F6.12B2A9B.F6.11B3A9B.F5.12BABAB2A5B2.F
5.11B2ABA3BA4B2.F4.12B2A9B3.F4.11B3A9B3.F3.12BABAB2A5B4.F3.11B2ABA3BA
4B4.F2.12B2A9B5.F2.11B3A9B5.F.12BABAB2A5B6.F.11B2ABA3BA4B6.F$F6.11B2A
10B.F6.11BA11B.F5.11B2ABA8B2.F5.11BA11B2.F4.11B2A10B3.F4.11BA11B3.F3.
11B2A10B4.F3.11BA11B4.F2.11B2ABA8B5.F2.11BA11B5.F.11B2A10B6.F.11BA11B
6.F$F6.12B2A9B.F6.10BA2BA3BA5B.F5.11BAB4ABA4B2.F5.11BA4BA6B2.F4.11BAB
A9B3.F4.11BA11B3.F3.12B2A9B4.F3.10BA2BA3BA5B4.F2.11BAB4ABA4B5.F2.11BA
4BA6B5.F.11BABA9B6.F.11BA11B6.F$F6.9B2ABA3B3A4B.F6.8B3ABAB4A5B.F5.9BA
BAB3A3BA3B2.F5.8B2A3BA2BA6B2.F4.9B2A5B2A5B3.F4.8B2ABA4B2A5B3.F3.9B2AB
A3B3A4B4.F3.8B3ABAB4A5B4.F2.9BABAB3A3BA3B5.F2.8B2A3BA2BA6B5.F.9B2A5B
2A5B6.F.8B2ABA4B2A5B6.F$F6.8B2ABA2B2A7B.F6.8BA2BA3B2ABA4B.F5.8B2A13B
2.F5.8BA6BA7B2.F4.8B2ABABA2BA6B3.F4.8BA2BAB2ABA6B3.F3.8B2ABA2B2A7B4.F
3.8BA2BA3B2ABA4B4.F2.8B2A13B5.F2.8BA6BA7B5.F.8B2ABABA2BA6B6.F.8BA2BAB
2ABA6B6.F$F6.8BABA7BA4B.F6.8BAB4ABA7B.F5.8BAB3ABA3BA4B2.F5.8BAB2ABABA
BA5B2.F4.8BA2B4ABABA4B3.F4.8BA4B2AB2A5B3.F3.8BABA7BA4B4.F3.8BAB4ABA7B
4.F2.8BAB3ABA3BA4B5.F2.8BAB2ABABABA5B5.F.8BA2B4ABABA4B6.F.8BA4B2AB2A
5B6.F$F6.6BABA2BAB2A3BA4B.F6.6BA6B3A2BA4B.F5.6BABABA3BAB2A5B2.F5.6BA
3BABABAB2A5B2.F4.6BABAB2A3BA3BA3B3.F4.6BA3BA2BAB2A6B3.F3.6BABA2BAB2A
3BA4B4.F3.6BA6B3A2BA4B4.F2.6BABABA3BAB2A5B5.F2.6BA3BABABAB2A5B5.F.6BA
BAB2A3BA3BA3B6.F.6BA3BA2BAB2A6B6.F$F6.4B3A3B3ABAB2A5B.F6.3B2ABA3B2A5B
A5B.F5.4B3A4BA2BABA6B2.F5.3B2ABA4BABA2B2A5B2.F4.4B3A3BA4BA7B3.F4.3B2A
BA2B2A2BABA7B3.F3.4B3A3B3ABAB2A5B4.F3.3B2ABA3B2A5BA5B4.F2.4B3A4BA2BAB
A6B5.F2.3B2ABA4BABA2B2A5B5.F.4B3A3BA4BA7B6.F.3B2ABA2B2A2BABA7B6.F$F6.
3B2A2BA5B2A8B.F6.3BA5BA4BA8B.F5.3B2A2B4ABA10B2.F5.3BA5B2ABABABA6B2.F
4.3B2A2BA3B5ABA5B3.F4.3BA8B2A9B3.F3.3B2A2BA5B2A8B4.F3.3BA5BA4BA8B4.F
2.3B2A2B4ABA10B5.F2.3BA5B2ABABABA6B5.F.3B2A2BA3B5ABA5B6.F.3BA8B2A9B6.
F$F6.5BA3B3A2BA8B.F6.2BA2B2AB2ABA3BA2BA4B.F5.5B4A3B2AB2A6B2.F5.2BA2B
2A8BA2BA4B2.F4.5B7A3B2A6B3.F4.2BA2B2A8BA2BA4B3.F3.5BA3B3A2BA8B4.F3.2B
A2B2AB2ABA3BA2BA4B4.F2.5B4A3B2AB2A6B5.F2.2BA2B2A8BA2BA4B5.F.5B7A3B2A
6B6.F.2BA2B2A8BA2BA4B6.F!

The first 25 rows are the completed 2c/4 side. The last 9 rows are all 3c/6 but are incomplete. The boundary rows include the two touching non-c/2 cohorts. I'll let the engage searches finish up and see if there are any other obvious choices, but I'm just not sure I can solve a 3c/6 problem either way...

EDIT: Found a much better looking split in more engagement search partials, although haven't solved either side yet. Top 21 rows are 2c/4, bottom 17 rows are 3c/6:

Code: Select all

x = 361, y = 38, rule = LifeHistory
F6.2B2A2BA5BABA7B.F29.F29.F29.F29.F29.F29.F29.F29.F29.F29.F29.F$F6.6B
2AB2AB2A8B.F6.2B2AB3A14B.F5.5BABABA12B2.F5.2B3A6B2ABA7B2.F4.6B2AB2AB
2A8B3.F4.2B2AB3A14B3.F3.5BABABA12B4.F3.2B3A6B2ABA7B4.F2.6B2AB2AB2A8B
5.F2.2B2AB3A14B5.F.5BABABA12B6.F.2B3A6B2ABA7B6.F$F6.3BA2BA5B3A7B.F6.
4BA4BABA10B.F5.3BA4B2A12B2.F5.7BA14B2.F4.3BA2BA5B3A7B3.F4.4BA4BABA10B
3.F3.3BA4B2A12B4.F3.7BA14B4.F2.3BA2BA5B3A7B5.F2.4BA4BABA10B5.F.3BA4B
2A12B6.F.7BA14B6.F$F6.4B2AB2A4B2A7B.F6.3B2A2BA6BA7B.F5.4B3A2B2ABA9B2.
F5.3B2ABA5BA9B2.F4.4B2AB2A4B2A7B3.F4.3B2A2BA6BA7B3.F3.4B3A2B2ABA9B4.F
3.3B2ABA5BA9B4.F2.4B2AB2A4B2A7B5.F2.3B2A2BA6BA7B5.F.4B3A2B2ABA9B6.F.
3B2ABA5BA9B6.F$F6.4BABA4BA10B.F6.3BA2BA2B2ABA9B.F5.4BAB2A2B3A9B2.F5.
3BA3BA4B2A8B2.F4.4BABA4BA10B3.F4.3BA2BA2B2ABA9B3.F3.4BAB2A2B3A9B4.F3.
3BA3BA4B2A8B4.F2.4BABA4BA10B5.F2.3BA2BA2B2ABA9B5.F.4BAB2A2B3A9B6.F.3B
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4ABA10B.F29.F29.F29.F29.F29.F29.F29.F29.F29.F29.F29.F!

amling · Post by **amling** » January 30th, 2024, 5:18 pm

The first stage of the PD rotor tree pipeline finished to 60GB for ships (now sort of less relevant maybe) and beehives in the other orientation (I assume now the next most common object?) with no results. I've put it in the line for my sole 120GB box but I'm not sure I would hold out hope. What, if anything, should I try next here? While my project queue is long, sketching constraint files has never been easier than it is now.

I was thinking maybe trying to deal with that common case of two opposite-phased blinkers on the same half-diagonal, e.g. for cleaning up traffic lights. It would require searching at a minimum of 6c/24d which is certainly possible, but it would leave very little space for the interactions. I think there are likely issues beyond 32 generations, so 8c/32d, which leaves about as much space as 4c/16d did for one blinker. TBD...

amling · Post by **amling** » January 31st, 2024, 7:02 am

I tried searching for a (2, 1)c/6 negative signal hoping for a lucky miracle like a negative ship or a negative wick stretcher. Longest partial even to 120G is still pretty small and sad:

Code: Select all

x = 133, y = 16, rule = LifeHistory
F21.F21.F21.F.19A.F.19A.F.19A.F$F.19B.F.19B.F.19B.F.19B.F.19B.F.19B.F
$F.19A.F.19A.F.19A.F.19A.F.19A.F.19A.F$F.19B.F.19B.F.10BA8B.F.10BA8B.
F.12BA6B.F.12BA6B.F$F.19A.F.9A3B7A.F.8A5B6A.F.8ABA4B5A.F.8ABA4B5A.F.
7A6B6A.F$F.9B3A7B.F.19B.F.7B3A9B.F.7B2A4BA5B.F.13BA5B.F.19B.F$F.7A7B
5A.F.6A3B2A3B5A.F.5A9B5A.F.5A2BA6B5A.F.5AB3A6B4A.F.5AB2A5BAB4A.F$F.8B
A5BA4B.F.14BA4B.F.5BA2B2A4BA4B.F.5BA7B2A4B.F.5B2A6B2A4B.F.14BA4B.F$F.
5A10B4A.F.5A2B2A7B3A.F.5A9BAB3A.F.5ABA9B3A.F.5ABA9B3A.F.4A3BA4BA3B3A.
F$F.5BAB2A5B2A3B.F.5BA8B2A3B.F.5B2A6B3A3B.F.6BA6B3A3B.F.4B3A5B4A3B.F.
4BABA5B4A3B.F$F.5A8BA3B2A.F.6A6B2A3B2A.F.6ABA4BA4B2A.F.4A3B2A2B2A4B2A
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2A2B2A2B3A3B5A.F.2A3BA4BABA3B3A.F21.F$F.4B2A2B3AB2AB2A2B.F.2BABAB2A3B
AB2ABA2B.F21.F21.F21.F21.F!

It does seem like a plausible front corner for a negative greyship and I suppose I could try searching its two sides downward but now one incredible longshot would be two and it's pretty unappealing.

confocaloid · Post by **confocaloid** » January 31st, 2024, 5:23 pm

How hard would it be to search for oscillators or spaceships, such that at least one phase entirely consists of "newborn" cells? Equivalently, there must be two consecutive phases without any shared alive cells.

(In the oscillator case, all phoenices automatically have this property, in every phase. It would be interesting to see a non-phoenix oscillator or a spaceship in Life with this property.
An extremely large high-period solution is likely possible "via universal constructor", but that wouldn't fit on screen.
Moving from Conway's Life to another Life-like rule, here is an example of the idea, a non-phoenix p3 oscillator in 3/4 Life:)

Code: Select all

#C Every cell alive at T=0 dies at T=1, but the pattern reappears at T=3 again.
#C The phase T=1 entirely consists of "newborn" cells.
x = 16, y = 6, rule = B34/S34
2bo10bo$bobo8bobo$o3bo2b2o2bo3bo$bobo2bo2bo2bobo$2bo3bo2bo3bo$7b2o!

amling · Post by **amling** » January 31st, 2024, 5:58 pm

confocaloid wrote: ↑
January 31st, 2024, 5:23 pm
How hard would it be to search for oscillators or spaceships, such that at least one phase entirely consists of "newborn" cells? Equivalently, there must be two consecutive phases without any shared alive cells.

(In the oscillator case, all phoenices automatically have this property, in every phase. It would be interesting to see a non-phoenix oscillator or a spaceship in Life with this property.
An extremely large high-period solution is likely possible "via universal constructor", but that wouldn't fit on screen.
Moving from Conway's Life to another Life-like rule, here is an example of the idea, a non-phoenix p3 oscillator in 3/4 Life
Code: Select all
#C Every cell alive at T=0 dies at T=1, but the pattern reappears at T=3 again.
#C The phase T=1 entirely consists of "newborn" cells.
x = 16, y = 6, rule = B34/S34
2bo10bo$bobo8bobo$o3bo2b2o2bo3bo$bobo2bo2bo2bobo$2bo3bo2bo3bo$7b2o!

From a code architecture perspective this is well within what constraints with custom code can do, so long as T is in the VW plane so the requirement is per-spine adjudicable. For oscillator and orthogonal ship searches this will normally be true, but for diagonal or oblique searches it's not going to be true in the good geometry (can always use instead W=T to make it true). If T is not in the VW plane but the constraint is still adjudicable within a col neighborhood then a post-filter with custom code could still do it. This will be true I believe for every geometry I have ever run. This latter case is going to be more complex to code and perform worse so I would certainly go looking for oscillators or orthogonal ships first.

The bigger problem is that you're gonna have to search velocities/periods one at a time. Also annoyingly you're gonna have to pick which generation you're forcing the phoenix-like behavior in and so similar to the min pop searches going to have to do several such phases per velocity/period.

Anyway, trying something is certainly in range and I have made an entry in my notes to look into it ... eventually, probably.

amling · Post by **amling** » January 31st, 2024, 8:38 pm

amling wrote: ↑
January 31st, 2024, 5:58 pm
confocaloid wrote: ↑
January 31st, 2024, 5:23 pm
How hard would it be to search for oscillators or spaceships, such that at least one phase entirely consists of "newborn" cells? Equivalently, there must be two consecutive phases without any shared alive cells.

(In the oscillator case, all phoenices automatically have this property, in every phase. It would be interesting to see a non-phoenix oscillator or a spaceship in Life with this property.
An extremely large high-period solution is likely possible "via universal constructor", but that wouldn't fit on screen.
Moving from Conway's Life to another Life-like rule, here is an example of the idea, a non-phoenix p3 oscillator in 3/4 Life
Code: Select all
#C Every cell alive at T=0 dies at T=1, but the pattern reappears at T=3 again.
#C The phase T=1 entirely consists of "newborn" cells.
x = 16, y = 6, rule = B34/S34
2bo10bo$bobo8bobo$o3bo2b2o2bo3bo$bobo2bo2bo2bobo$2bo3bo2bo3bo$7b2o!
From a code architecture perspective this is well within what constraints with custom code can do, so long as T is in the VW plane so the requirement is per-spine adjudicable. For oscillator and orthogonal ship searches this will normally be true, but for diagonal or oblique searches it's not going to be true in the good geometry (can always use instead W=T to make it true). If T is not in the VW plane but the constraint is still adjudicable within a col neighborhood then a post-filter with custom code could still do it. This will be true I believe for every geometry I have ever run. This latter case is going to be more complex to code and perform worse so I would certainly go looking for oscillators or orthogonal ships first.

The bigger problem is that you're gonna have to search velocities/periods one at a time. Also annoyingly you're gonna have to pick which generation you're forcing the phoenix-like behavior in and so similar to the min pop searches going to have to do several such phases per velocity/period.

Anyway, trying something is certainly in range and I have made an entry in my notes to look into it ... eventually, probably.

There is an additional obvious problem in that even period oscillators aren't really going to be searchable. Human definitions and easy machine definitions do not match up and so searching for e.g. a p4 oscillator that is not a p2 oscillator (of which there are many) is more complicated to engineer.

I was unable to resist the temptation of another search project and so quickly sketched the constraint version of this, hoping I'd be able to choke through the weird geometries for non-orthogonal stuff with W=T. That example from B34/S34 was a nice test case, I really appreciated having it. Between that and reading the program's analysis of how it is implementing the constraint I suspect I got it right, but if you have any spaceship examples from other rules, I would love some more positive test cases.

I was able to run either instantly or at least quickly with no results all of: p3, c/2, c/3, c/4, 2c/4, c/4d, c/5, 2c/5, 2c/6, 3c/6. To be clear: this proves there are no finite "one generation phoenix" patterns at those exact velocities, at least assuming I got this all right. In fact, "finite" can be replace with the slightly-stronger what I would call "almost half-plane" although it's a complex definition and the difference is probably of little interest.

The following hit the 8 GB memory limit and died (the most I feel comfortable sparing on this machine until this project can wait in line for access to real memory): p5, c/5d, c/6.

Most of the partials output are either extremely short, or extremely unhealthy-looking, like this c/5 partial (although the search finished so there are no extensions possible):

Code: Select all

x = 251, y = 9, rule = LifeHistory
F.47B.F.47B.F.47B.F.47B.F.47B.F$F.47B.F.47B.F.47B.F.47B.F.47B.F$F.23B
A23B.F.23BA23B.F.22BABA22B.F.23BA23B.F.22B3A22B.F$F.13BA7B5A7BA13B.F.
13BA6B2ABAB2A6BA13B.F.12BABA8BA8BABA12B.F.13BA7B2AB2A7BA13B.F.12B3A5B
2A3B2A5B3A12B.F$F.11B5A4B2A3B2A4B5A11B.F.6BA3B2ABAB2A6BA6B2ABAB2A3BA
6B.F.5B2A6BA6BABABABA6BA6B2A5B.F.11B2AB2A3BABABABABA3B2AB2A11B.F.5B2A
3B2A3B2ABA2BABABA2BAB2A3B2A3B2A5B.F$F.5B3A2B2A3B2A2BABA3BABA2B2A3B2A
2B3A5B.F.5B2A6BA5BA7BA5BA6B2A5B.F.10BABABABABABA5BABABABABABA10B.F.4B
4ABABABABABABABA3BABABABABABABAB4A4B.F.5B2ABA2BABABA3BABA3BABA3BABABA
2BAB2A5B.F$F.4BA5B2A3B2A3B2ABAB2A3B2A3B2A5BA4B.F.3B5ABA7BABABA3BABABA
7BAB5A3B.F.3B2A2B2ABA5BA13BA5BAB2A2B2A3B.F.9BABA3BABABABA3BABABABA3BA
BA9B.F.3BA2B2A5BA8BABA8BA5B2A2BA3B.F$F.2B2A4BA2BABABA2BA2BA3BA2BA2BAB
ABA2BA4B2A2B.F.2BA6BABA3BABA3BA3BA3BABA3BABA6BA2B.F.20BABABABA20B.F.
3B2A3B6A9BA9B6A3B2A3B.F.2B3A2BA3B2ABABAB3A5B3ABABAB2A3BA2B3A2B.F$F.2B
3A3BA2BA3BA2BABA2BA2BABA2BA3BA2BA3B3A2B.F.4BA2B4A5B3A4BA4B3A5B3ABABA
4B.F.4BA4BAB4A8BA8B4ABA4BA4B.F.2B2A3B2A6BA2BABA5BABA2BA6B2A3B2A2B.F.
5B2ABA2B2A3BABABABA4B2ABA3B2A3B3A5B.F!

However in the p5 partials before it died things were looking a little less sickly. I started running some searches with limited "width" (it's LLSSS recentering so the notion of "width" is complicated) and got things like this:

Code: Select all

x = 91, y = 12, rule = LifeHistory
F.15B.F.15B.F.15B.F.15B.F.15B.F$F.15B.F.15B.F.15B.F.15B.F.15B.F$F.7B
2A6B.F.15B.F.15B.F.15B.F.15B.F$F.5BA4BA4B.F.6BA2BA5B.F.15B.F.15B.F.6B
4A5B.F$F.5BA4BA4B.F.15B.F.6BA2B2A4B.F.5B6A4B.F.5B6A4B.F$F.15B.F.4B3A
2B2A4B.F.5B3ABA5B.F.5BA3BA5B.F.5BABABA5B.F$F.4B2ABAB2A4B.F.6BABA6B.F.
6BABA2BA3B.F.11BA3B.F.4B2A2B3A4B.F$F.7BA7B.F.4B2A2B4A3B.F.4BABAB4A3B.
F.3B2ABAB2A5B.F.5BABA7B.F$F.5BA4BABA2B.F.4BABA4BA3B.F.3B2ABA4B2A2B.F.
6BA5BA2B.F.5B2A2B4A2B.F$F.3BABA6BA2B.F.4BABAB2ABA3B.F.3B2A2BABABA3B.F
.7BABAB2A2B.F.3BABA5B2A2B.F$F.7B3A5B.F.4BA5BA4B.F.4BA3B2A5B.F.2B3AB3A
6B.F.3B2A2BA7B.F$F.3BA2B5A4B.F17.F17.F17.F17.F!

This gives me hope something might exist here, but it's gonna be quite hard to find. Any result would be a statorless p5 of which there is only one known and, which, despite my best (and quite serious) efforts I was unable to find another of previously. Sometimes finding something with a restriction is easier so I guess we'll see (eventually).

Unfortunately this project now probably does have to wait for some real memory.

confocaloid · Post by **confocaloid** » January 31st, 2024, 9:54 pm

amling wrote: ↑
January 31st, 2024, 8:38 pm
[...]
I was unable to resist the temptation of another search project and so quickly sketched the constraint version of this, hoping I'd be able to choke through the weird geometries for non-orthogonal stuff with W=T. That example from B34/S34 was a nice test case, I really appreciated having it. Between that and reading the program's analysis of how it is implementing the constraint I suspect I got it right, but if you have any spaceship examples from other rules, I would love some more positive test cases.
[...]

Added: the rule B245/S5 has the following p3 spaceships (orthogonal and diagonal, copied from https://jedlimlx.github.io/gliderdb-searcher/ ) both having the same property.

Code: Select all

#C (0, 1)/3
#C Discovered by: Rocknlol, 2020
#C Min Rule: B245/S5
#C Max Rule: B2458/S578
x = 10, y = 30, rule = B245/S5
2bo4bo$3bo2bo2$b8o2$2bo4bo$3b4o$3bo2bo$2bo4bo$4b2o$b2o4b2o$3b4o$3ob2ob3o$4b2o$b8o2$2b2o2b2o2$3bo2bo$b
o6bo$bobo2bobo$b2o4b2o$o8bo$bobo2bobo2$4b2o$2bo4bo$4b2o$b2o4b2o$3b4o!

Code: Select all

#C (1, 1)/3
#C Discovered by: Rocknlol, 2020
#C Min Rule: B245/S5
#C Max Rule: B24578/S5678
x = 9, y = 9, rule = B245/S5
4bo$bo$2bob2o$o2bob2o$3bo2bobo$b5o$3bo2bo$3bo3bo$5bo!

Live Free or Die (B2/S0) has some "potential test case" examples. I'm not sure whether any odd-period spaceships with this property are known in that rule, but there are oscillators and even-period spaceships:

Code: Select all

#C a p6 lightspeed spaceship; two out of 6 phases entirely consist of newborn cells
x = 12, y = 6, rule = B2567/S0678
3o5bo$7bobo$11bo$11bo$7bobo$3o5bo!

Code: Select all

#C two p4 lightspeed spaceships; the shown phases have no cells that survive to the next generation
#C https://conwaylife.com/forums/viewtopic.php?p=16138#p16138
#C https://conwaylife.com/forums/viewtopic.php?p=58415#p58415
x = 37, y = 20, rule = B2/S0
7bo$8bo$10bo18bo$10bo17bobo4bo$29bobo4bo$7b2o21bobo3bo$8bobo20bo2bo$o
2bo6bo20bobo$b2obo4bo20bobo$bo2b4o23bo$bo2b4o21b2o$b2obo4bo20b2obo$o2b
o6bo11bo6b2o3bo$8bobo10b3o6b2o2bo$7b2o13bo6b2o2bo$29bobo$10bo17bobo$
10bo18bo$8bo$7bo!

Code: Select all

#C several oscillators with at least one phase having no old cells
x = 68, y = 13, rule = B2/S0
22bo9bo$2bo6bo11b2o9b2o$b2o6b2o9b2o11b2o9bo$2o8b2o9b2o9b2o9bo$b2o6b2o
11b2o7b2o9bo$2b2o4b2o14bo5bo15bo17bo2bo$2b2o4b2o14b3ob3o14bobo16bo2bo$
b2o6b2o13bo5bo15bo17bo2bo$2o8b2o10b2o7b2o18bo$b2o6b2o10b2o9b2o16bo$2bo
6bo10b2o11b2o14b2o$21b2o9b2o14bo$22bo9bo!

amling · Post by **amling** » January 31st, 2024, 11:54 pm

confocaloid wrote: ↑
January 31st, 2024, 9:54 pm

amling wrote: ↑
January 31st, 2024, 8:38 pm
[...]
I was unable to resist the temptation of another search project and so quickly sketched the constraint version of this, hoping I'd be able to choke through the weird geometries for non-orthogonal stuff with W=T. That example from B34/S34 was a nice test case, I really appreciated having it. Between that and reading the program's analysis of how it is implementing the constraint I suspect I got it right, but if you have any spaceship examples from other rules, I would love some more positive test cases.
[...]
Added: the rule B245/S5 has the following p3 spaceships (orthogonal and diagonal, copied from https://jedlimlx.github.io/gliderdb-searcher/ ) both having the same property.
Code: Select all
#C (0, 1)/3
#C Discovered by: Rocknlol, 2020
#C Min Rule: B245/S5
#C Max Rule: B2458/S578
x = 10, y = 30, rule = B245/S5
2bo4bo$3bo2bo2$b8o2$2bo4bo$3b4o$3bo2bo$2bo4bo$4b2o$b2o4b2o$3b4o$3ob2ob3o$4b2o$b8o2$2b2o2b2o2$3bo2bo$b
o6bo$bobo2bobo$b2o4b2o$o8bo$bobo2bobo2$4b2o$2bo4bo$4b2o$b2o4b2o$3b4o!

Works for me. It's only even oscillators that are a problem, and only in S23/B3 due to the existence of p2 oscillators gumming everything up (p2 oscillators are e.g. valid p4 oscillators, at least in the simplest sense of "valid"). Anyway, that c/3 ship found easily, among other things...

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| .................... | .................... | .................... |
| .................... | .................... | .................... |
| ....*..*............ | ...*....*........... | ....****............ |
| ..*......*.......... | .....**............. | ..**....**.......... |
| ....****............ | ...*....*........... | .....**............. |
| .................... | .....**............. | ...*....*........... |
| .....**............. | ....*..*............ | .....**............. |
| ...*....*........... | .....**............. | ....*..*............ |
| .....**............. | ...**..**........... | .....**............. |
| ..***..***.......... | .....**............. | ..***..***.......... |
| .....**............. | ...**..*.*.......... | .....**.o........... |
| ...**..*o**......... | .....**............. | ...*....**.......... |
| ....*.**............ | ........***......... | ......**............ |
| ........*........... | ......**.*.......... | ........*........... |
| ......**.*.......... | ........*........... | .....***..*......... |
| ........**.*........ | .....*.*..*......... | ...........*........ |
| .....*..*.*......... | ......*..*..*....... | ........*.**.*...... |
| .......*.*..*....... | ......*......*...... | .......*.**.*....... |
| ...........*.*...... | ......**.*.......... | ..........*......... |
| ......*..*.......... | .....*.*..*......... | ......*.*........... |
| .....*.*.***........ | ........*........... | .....*.....*........ |
| ........*........... | ......*..*.*........ | .......*............ |
| ........*........... | .........*.......... | .......*............ |
| ......*............. | ........*........... | .........*.......... |
| .......*............ | .........**......... | ........*........... |
| .......*.**......... | .................... | .......*...*........ |
| ......*............. | .......**..*........ | ......*..**......... |
| .......**..*........ | .....*...*.......... | ...........**....... |
| .....*..***......... | ......*....*........ | .....*.****......... |
| ...........**....... | ........*........... | .......*..*......... |
| .................... | ...........**....... | ........***......... |
| .......*............ | .........*.......... | ............*....... |
| ........**.......... | ......*...*......... | .......**..*........ |
| ......*..*.......... | .......*..*......... | ......*..*.*........ |
| ............*....... | .................... | .................... |
| .................... | .................... | ...........**....... |
| .................... | ...........**....... | .................... |
| ...........**....... | .................... | ..........****...... |
| .................... | ...........**....... | .................... |
| ..........****...... | .................... | .........***........ |
| ............*....... | .........***........ | ............*....... |
| .........*.*........ | ..........o..*...... | ........**o*........ |
| ............*....... | ........*.**........ | ............**...... |
| .........***........ | ............***..... | .........*.*........ |
| ..........*.***..... | ...........*........ | ............**...... |
| .................... | ............**...... | ...........*........ |
| ............**...... | .................... | ............***..... |
| ........*........... | ...........***...... | ........***......... |
| ...........*.**..... | ........**.......... | ..........*.*....... |
| .........*.*........ | ............*....... | .........*.*........ |
| .............*...... | .........**......... | ............*....... |
| ..........**........ | ............*.*..... | ...............*.... |
| ............**...... | ..........*...*..... | .............*.**... |
| ..............*..... | ...........*.*.**... | ..............*..... |
| ............*..*.*.. | ...........*..*..... | ............*...*... |
| ..........*...**.... | .........*..*....... | ..........**.*...... |
| .........*..*....... | ..........**........ | ........*...*....... |
| ..........**..*..... | ........*...**...... | ..........**..*..... |
| ........*...**...... | ..........**...*.... | .........*..**...... |
| ..........**..*..... | ......*.**..**...... | ..........**..**.... |
| ......**....**...... | ........*.**..***... | ......**.*..**...... |
| ........*.**..***... | .......*.*..**...... | ..........**..**.... |
| .......***..**...... | ..........**..**.... | .......***..**...... |
| ..........**...*.... | ........**..*....... | ..........**........ |
| ........**...*...... | ..........**..*..... | ........**.......... |
| ..........**........ | ......*.**..*....... | .....*....**.*...... |
| ......**.*.......... | .....*..*.**........ | ......*..*..*....... |
| .....*....**.*...... | .................... | ..........**........ |
| ........*...*....... | ..........**.*...... | .........*.......... |
| ..........**........ | ........*...*....... | ..........**.*...... |
| .........*.......... | ..........**........ | ........**..*....... |
| ..........**.*...... | .......***.......... | ..........**........ |
| .......***..*....... | ..........**.*...... | ........**.......... |
| ..........*......... | ........**.*........ | ..........*......... |
| ........*........... | .........*.......... | .................... |
| .................... | .................... | .................... |
| .................... | .................... | .................... |

Code: Select all

#C [[ TRACK 0 -1/3 ]]
x = 16, y = 73, rule = B245/S5
2bo2bo$o6bo$2b4o2$3b2o$bo4bo$3b2o$3o2b3o$3b2o$b2o2b4o$2bob2o$6bo$4b2ob
o$6b2obo$3bo2bobo$5bobo2bo$9bobo$4bo2bo$3bobob3o$6bo$6bo$4bo$5bo$5bob
2o$4bo$5b2o2bo$3bo2b3o$9b2o2$5bo$6b2o$4bo2bo$10bo3$9b2o2$8b4o$10bo$7bo
bo$10bo$7b3o$8bob3o2$10b2o$6bo$9bob2o$7bobo$11bo$8b2o$10b2o$12bo$10bo
2bobo$8bo3b2o$7bo2bo$8b2o2bo$6bo3b2o$8b2o2bo$4b2o4b2o$6bob2o2b3o$5b3o
2b2o$8b2o3bo$6b2o3bo$8b2o$4b2obo$3bo4b2obo$6bo3bo$8b2o$7bo$8b2obo$5b3o
2bo$8bo$6bo!

Asymmetric searches found this first. It's actually very close to being a complete phoenix, having only two spots where a cell and its future are both on. The proof I dug up that there are no phoenix spaceships relies on, among other things, B2 missing from S23/B3 and so it seems even possible that there might be full phoenix ships somewhere out here. Perhaps a another project for another time.

EDIT: It was easy enough to repurpose the same hacks to efficiently enforce phoenix-ness everywhere and even among the random searches I was running with the slow debug binary while waiting for the fast release binary to (slowly) build, I found this (c/3 phoenix ship for S5/B245):

Code: Select all

#C [[ TRACK 0 -1/3 ]]
x = 20, y = 32, rule = B245/S5
8bo2bo$6bo6bo$4b2o2b4o2b2o$3bobo8bobo$4b2o3b2o3b2o$2bo4bo4bo4bo$5b4o2b
4o$3bobo8bobo$7b6o$2b2obobo4bobob2o$4bobo2b2o2bobo$6b2o4b2o$8b4o$5b3o
4b3o$6bob4obo$7bo4bo$5bo8bo$7bob2obo$3bob2ob4ob2obo$5bobo4bobo$4bo3b4o
3bo$5b2o6b2o$3b2o2b6o2b2o$6bo6bo$bo3bo3b2o3bo3bo$5bo8bo$8o4b8o2$b2o2b
2o6b2o2b2o$2bo2bo8bo2bo$o6bo4bo6bo$2bo2bo8bo2bo!

EDIT2: I was thinking about whether there were already known phoenix spaceships and when I realized that no S could help it wasn't long before I remembered that e.g. all ships in seeds (B2/S) are phoenixes. Perhaps a still-open question is are there phoenix ships in any rule w/o B2? My analysis of the argument for no phoenix ships in B3/S23 that I remember also relies on the presence of the S2 so it's possible maybe something in B3/S through B345678/S might have something. I shall think further on it...

ConwayLife.com

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