Thread for basic questions

[ColorfulGalaxy]

thanks for answering my question. i asked it because i found this 9-cell predecessor of a LWSS and wondered if that was the smallest LWSS predecessor.

Code: Select all

x = 6, y = 4, rule = B3/S23
3bobo$o4bo$ob2obo$2bo!

Here are two eight-cell predecessors:

Code: Select all

x = 8, y = 15, rule = B3/S23
2bo$bo$bo3bo$b4o8$3b4o$2bo4bo$bo$o!

There are several threads made for cataloguing small predecessors of various objects. I used to be working on one, but I stopped because no one else seemed to be using it.

The known five-bit glider predecessors:

Code: Select all

x = 0, y = 0, rule = B3/S23
3o$o$bo4$2o$b2o$o4$3o$o$2bo4$3o$o$3bo4$obo$bobo$bo4$2o$2b2o$bo4$3o$3bo$o!

Are there any other known 5-bit glider predecessors?

[MathAndCode]

The known five-bit glider predecessors:

Code: Select all

x = 0, y = 0, rule = B3/S23
3o$o$bo4$2o$b2o$o4$3o$o$2bo4$3o$o$3bo4$obo$bobo$bo4$2o$2b2o$bo4$3o$3bo$o!

I have added the five-cell glider predecessors to my post for collecting predecessors.

[AbhpzTa]

For example, predecessors can easily be found for Corderships that are less than half the population of the full Cordership. Here's 41 cells vs. a 2EC's minimum population of 100, and no doubt it's easy to cut that down some more:

I reduced the population to 35.

Code: Select all

x = 35, y = 38, rule = B3/S23
18bo$18bobo$10bo7b2o$9bobo13b2o$10b2o13bo3$10bo$9bobo$10b2o2$33b2o$33b
o6$4bo$3bobo2$3bo2bo$5b2o$6bo3$13b2o$13bo9$2o$bo!

Also, I'd like to point out that technically, any constructible spaceship can be built by a RCT-based universal constructor. The seventeen-glider version reaches a minimum population of 64 cells, which probably can be reduced a little more by replacing some stabilizing gliders with preblocks or blinkers, and I have been intermittently working on a sixteen-glider version.



Edit: Here's a 32-cell predecessor:

Code: Select all

x = 39, y = 35, rule = B3/S23
29bo$29b2o2$12bobo$11bo$12bo2bo$14b3o2$37bo$10bo26b2o$10bobo$10b2o$bo
$obo$b2o3$bo$obo$b2o14$4b2o$4bo!

31:

Code: Select all

x = 32, y = 30, rule = B3/S23
19bo$17b2o$18bo$13bo$13b2ob2o$27bo$27b2o3$30bo$30b2o11$10b2o$10bo2$22b
o$o21bo$o2bo16b2o$o2bo16bo$3bo$3b2o!

[ENORMOUS_NAME]

are there any known conduits that can edgeshoot a loaf?

[dvgrn]

are there any known conduits that can edgeshoot a loaf?

The best known one is the one in modern highway robbers. This is really a standard H-to-pi followed by a pi-to-loaf:

Code: Select all

x = 65, y = 43, rule = LifeHistory
62.2A$62.A$60.A.A$59.A.A$55.2A3.A$55.2A2$59.4B$52.2A4.3B$51.B2AB2.4B$
52.2B2.4B$25.A25.2B2.4B$25.3A8.B6.2B5.4B.4B$28.A6.3B4.6B.11B$27.2A6.
3B3.20B$21.2A4.4B3.5B2.21B$12.2A6.B2AB5.3B.29B2D$13.A.B5.3B5.32BD2BD$
13.A.AB3.B.B6.33BDBD$14.2A2B.6B4.34BD$15.10B2.36B$7.2A7.47B$8.A8.44B$
8.A.AB6.43B$9.2AB.3B2.41B$11.48B$11.48B$12.46B$11.47B$9.42B.5B$6.20B
3.17B8.3B$6.3BA15B5.10B3.B10.2B$6.3BABA4B.7B7.8B$6.3B3A4B2.6B7.7B$6.
5BA4B3.6B6.2A$6.9B6.4B7.A$20.B2A2B4.3A$21.2A.B2A2.A$24.BA.A.A$2.2A23.
A.2A$3.A23.A$3A23.2A$A!

If you need a different orientation, something can be constructed but it might be a lot bigger.

[hotdogPi]

When is the latest you can place a single cell onto the R-pentomino sequence and destroy it all? Here's generation 10:

Code: Select all

x = 31, y = 12, rule = B3/S23
3$3b2o16b2o$2b2o16b2o$3b2o16b2o$4b3o15b4o$6bo17bo$6bo17bo!

[wwei23]

11 is possible:

Code: Select all

x = 8, y = 5, rule = B3/S23
2b3o$obo$2bo$3b2obo$6b2o!

EDIT: Typo fix
Edit 2: 12 possible:

Code: Select all

x = 8, y = 6, rule = B3/S23
3bo$ob2o$b2o$2bo$3bob3o$5b3o!

Edit 3: Got 13:

Code: Select all

x = 7, y = 7, rule = B3/S23
b2o$obo$2o$3o2bo$3b2obo$3b2obo$5bo!

Edit 4: Got 14:

Code: Select all

x = 8, y = 7, rule = B3/S23
2b2o$bobo$2obo$b6o$2bo4bo$o3bo2bo$5b2o!

Edit 5: 15:

Code: Select all

x = 8, y = 7, rule = B3/S23
ob2o$2ob2o$o4bo$o3b3o$b2o4bo$5bobo$5b2o!

[MathAndCode]

Edit 5: 15:

Here's a start for some other common methuselahs:

Code: Select all

x = 37, y = 25, rule = B3/S23
4bo$3b3o$2b5o11bo$2bob3o10b3o11b2o$b2ob2o11bob2o8b2ob3o$bo2bo11b2o11b
2obo2bo$2b2o12b2o12bo5bo$bobo12b2o18bo$3o17bo13b3o$3o13bo2b2o$17bobo8b
2o2b2o$16bo2bo8bobob2o$17b2o10bo2$7bo$7bo$6b3o$5bobobo$5bobobo13b3o$3b
2ob3ob2o10bobob2o$2bob2obob2obo9bo3bobo$b2obo5bob2o8bobo3bo$2b2obo3bo
b2o10b2obobo$3b3o3b3o13b3o$24bo!

[pcallahan]

Does this p3 agar have a name? I didn't look very hard, but I can find agars and p3 oscillators, but not p3 agars. It came up while testing my SAT-based search program.

Code: Select all

x = 48, y = 48, rule = B3/S23:T48,48
# [[ GPS 3 ]]
7bo2bo8bo2bo8bo2bo8bo2bo$ob2obo6bob2obo6bob2obo6bob2obo$7bo2bo8bo2bo8b
o2bo8bo2bo$7bo2bo8bo2bo8bo2bo8bo2bo$ob2obo6bob2obo6bob2obo6bob2obo$7bo
2bo8bo2bo8bo2bo8bo2bo$bo2bo8bo2bo8bo2bo8bo2bo$6bob2obo6bob2obo6bob2obo
6bob2obo$bo2bo8bo2bo8bo2bo8bo2bo$bo2bo8bo2bo8bo2bo8bo2bo$6bob2obo6bob
2obo6bob2obo6bob2obo$bo2bo8bo2bo8bo2bo8bo2bo$7bo2bo8bo2bo8bo2bo8bo2bo$
ob2obo6bob2obo6bob2obo6bob2obo$7bo2bo8bo2bo8bo2bo8bo2bo$7bo2bo8bo2bo8b
o2bo8bo2bo$ob2obo6bob2obo6bob2obo6bob2obo$7bo2bo8bo2bo8bo2bo8bo2bo$bo
2bo8bo2bo8bo2bo8bo2bo$6bob2obo6bob2obo6bob2obo6bob2obo$bo2bo8bo2bo8bo
2bo8bo2bo$bo2bo8bo2bo8bo2bo8bo2bo$6bob2obo6bob2obo6bob2obo6bob2obo$bo
2bo8bo2bo8bo2bo8bo2bo$7bo2bo8bo2bo8bo2bo8bo2bo$ob2obo6bob2obo6bob2obo
6bob2obo$7bo2bo8bo2bo8bo2bo8bo2bo$7bo2bo8bo2bo8bo2bo8bo2bo$ob2obo6bob
2obo6bob2obo6bob2obo$7bo2bo8bo2bo8bo2bo8bo2bo$bo2bo8bo2bo8bo2bo8bo2bo$
6bob2obo6bob2obo6bob2obo6bob2obo$bo2bo8bo2bo8bo2bo8bo2bo$bo2bo8bo2bo8b
o2bo8bo2bo$6bob2obo6bob2obo6bob2obo6bob2obo$bo2bo8bo2bo8bo2bo8bo2bo$7b
o2bo8bo2bo8bo2bo8bo2bo$ob2obo6bob2obo6bob2obo6bob2obo$7bo2bo8bo2bo8bo
2bo8bo2bo$7bo2bo8bo2bo8bo2bo8bo2bo$ob2obo6bob2obo6bob2obo6bob2obo$7bo
2bo8bo2bo8bo2bo8bo2bo$bo2bo8bo2bo8bo2bo8bo2bo$6bob2obo6bob2obo6bob2obo
6bob2obo$bo2bo8bo2bo8bo2bo8bo2bo$bo2bo8bo2bo8bo2bo8bo2bo$6bob2obo6bob
2obo6bob2obo6bob2obo$bo2bo8bo2bo8bo2bo8bo2bo!

[MathAndCode]

How did Life enthusiasts find conduits in the old days? Based on some of the early conduits (e.g. Fx77 and Bx125) and the rarity of transparent reactions, it seems like a significant fraction of early conduit-makers' time was spent placing blocks in various places and hoping that it would cause the junk to turn into a B-sequence that dropped the block back in the same location (or maybe I'm overestimating how long it took for computers to become powerful).

[wwei23]

Does this p3 agar have a name? I didn't look very hard, but I can find agars and p3 oscillators, but not p3 agars. It came up while testing my SAT-based search program.

I don't recognize it. It's statorless though!
Maybe there's a way to connect it to the parts on the statorless P3?

[pcallahan]

How did Life enthusiasts find conduits in the old days? Based on some of the early conduits (e.g. Fx77 and Bx125) and the rarity of transparent reactions, it seems like a significant fraction of early conduit-makers' time was spent placing blocks in various places and hoping that it would cause the junk to turn into a B-sequence that dropped the block back in the same location (or maybe I'm overestimating how long it took for computers to become powerful).

From my perspective, conduits were not found in the "old days" at all, but 1996 seems very recent to me. I consider the "old days" to be Martin Gardner's columns and the building of the original breeder (when I was too young to be involved). But I guess it's relative.

By David Buckingham's own account, he did do a lot of it by hand, and yes, he placed blocks in different places to see what would happen. I think he had developed enough intuition that it went faster than you might think, but the first conduits are definitely creative discoveries, not the result of CPU-intensive search. Have you read this write-up?

[MathAndCode]

From my perspective, conduits were not found in the "old days" at all, but 1996 seems very recent to me. I consider the "old days" to be Martin Gardner's columns and the building of the original breeder (when I was too young to be involved). But I guess it's relative.

I meant the old days of conduit-making, but I guess that I could have clarified that further.

By David Buckingham's own account, he did do a lot of it by hand, and yes, he placed blocks in different places to see what would happen. I think he had developed enough intuition that it went faster than you might think, but the first conduits are definitely creative discoveries, not the result of CPU-intensive search. Have you read this write-up?

No. Thank you for giving me the link. I'll read it now.

[pcallahan]

I don't recognize it. It's statorless though!
Maybe there's a way to connect it to the parts on the statorless P3?

Here's another p3 agar. The blocks showed up because I specified some stators, but obviously they can be removed.

Code: Select all

x = 36, y = 36, rule = B3/S23:T36,36
# [[ GPS 3 ]]
12b3o15b3o$7bob3o13bob3o2$o6b3obo6bo6b3obo$o3b3o6bo4bo3b3o6bo$o12bo4bo
12bo$bobo9bo5bobo9bo$bo12bobo2bo12bobo$bobo4b2o4bo4bobo4b2o4bo$3bo4b2o
4bobo4bo4b2o4bobo$bobo12bo2bobo12bo$4bo9bobo5bo9bobo$4bo12bo4bo12bo$4b
o6b3o3bo4bo6b3o3bo$6bob3o6bo6bob3o6bo2$6b3obo13b3obo$3b3o15b3o$12b3o
15b3o$7bob3o13bob3o2$o6b3obo6bo6b3obo$o3b3o6bo4bo3b3o6bo$o12bo4bo12bo$
bobo9bo5bobo9bo$bo12bobo2bo12bobo$bobo4b2o4bo4bobo4b2o4bo$3bo4b2o4bobo
4bo4b2o4bobo$bobo12bo2bobo12bo$4bo9bobo5bo9bobo$4bo12bo4bo12bo$4bo6b3o
3bo4bo6b3o3bo$6bob3o6bo6bob3o6bo2$6b3obo13b3obo$3b3o15b3o!

Has anyone done a systematic investigation of p3 agars? I mean, I don't really know what they're good for, but I wasn't aware they even existed.

[dvgrn]

Has anyone done a systematic investigation of p3 agars? I mean, I don't really know what they're good for, but I wasn't aware they even existed.

Gabriel Nivasch did some systematic searches for p3 agars back in 2002:

Subject: P3 agar search results

I used my toroidal adaptation of Lifesrc to search for period-3 agars. I
covered rectangles with the following dimensions:

base = 1: up to height = 18,
base = 2: up to height = 12,
base = 3: up to height = 8,
base = 4: up to height = 6,
base = 5: up to height = 5,
base = 6: up to height = 4,
base = 7 through 14: up to height = 2.

In each case, I covered all possible toroidal shifts.

I saved the interesting-looking results. All the patterns shown here can be
extended arbitrarily by simply repeating the given pattern orthogonally in the
x and y directions.

First, here's the agar from LifeLine with a similar-looking relative:

Code: Select all

x = 59, y = 28, rule = B3/S23
3b2o5b2o5b2o13b2o4b2o6b2o4b2o$o5b2o5b2o5bo14b2o4b2o6b2o4b2o$2b2o5b2o5b
2o13bo6b2o4b2o6b2o4bo$5b2o5b2o5b2o12b2o6b2o4b2o6b2o$b2o5b2o5b2o14bo4b
2o6b2o4b2o6bo$4b2o5b2o5b2o13b2o4b2o6b2o4b2o$2o5b2o5b2o20b2o4b2o6b2o4b
2o$3b2o5b2o5b2o12b2o6b2o4b2o6b2o$o5b2o5b2o5bo13b2o6b2o4b2o6b2o$2b2o5b
2o5b2o13b2o4b2o6b2o4b2o$5b2o5b2o5b2o13b2o4b2o6b2o4b2o$b2o5b2o5b2o20b2o
4b2o6b2o4b2o$4b2o5b2o5b2o12b2o6b2o4b2o6b2o$2o5b2o5b2o19b2o6b2o4b2o6b2o
$3b2o5b2o5b2o13b2o4b2o6b2o4b2o$o5b2o5b2o5bo14b2o4b2o6b2o4b2o$2b2o5b2o
5b2o13bo6b2o4b2o6b2o4bo$5b2o5b2o5b2o12b2o6b2o4b2o6b2o$b2o5b2o5b2o14bo
4b2o6b2o4b2o6bo$4b2o5b2o5b2o13b2o4b2o6b2o4b2o$2o5b2o5b2o20b2o4b2o6b2o
4b2o$31b2o6b2o4b2o6b2o$34b2o6b2o4b2o6b2o$31b2o4b2o6b2o4b2o$34b2o4b2o6b
2o4b2o$37b2o4b2o6b2o4b2o$32b2o6b2o4b2o6b2o$35b2o6b2o4b2o6b2o!

The following agar turns out to be a lattice of 2c/3 signal tracks, so it has
an infinite number of trivial variations:

Code: Select all

x = 24, y = 24, rule = B3/S23
obo2bob2obo2bob2obo2bobo$4bobo5bobo5bobo$b2obo2bob2obo2bob2obo2bo$o5bo
bo5bobo5bo$bob2obo2bob2obo2bob2obo$obo5bobo5bobo$o2bob2obo2bob2obo2bob
2o$2bobo5bobo5bobo$obo2bob2obo2bob2obo2bobo$4bobo5bobo5bobo$b2obo2bob
2obo2bob2obo2bo$o5bobo5bobo5bo$bob2obo2bob2obo2bob2obo$obo5bobo5bobo$o
2bob2obo2bob2obo2bob2o$2bobo5bobo5bobo$obo2bob2obo2bob2obo2bobo$4bobo
5bobo5bobo$b2obo2bob2obo2bob2obo2bo$o5bobo5bobo5bo$bob2obo2bob2obo2bob
2obo$obo5bobo5bobo$o2bob2obo2bob2obo2bob2o$2bobo5bobo5bobo!

You can get agars that consist of independent oscillators, like this agar of
loading docks:

Code: Select all

x = 34, y = 34, rule = B3/S23
obobobobo4bobobobobobobo4bobo$2bobobobobobobo4bobobobobobobo$bobo4bobo
bobobobobo4bobobobobo$bobobobobo4bobobobobobobo4bobo$3bobobobobobobo4b
obobobobobobo$obobo4bobobobobobobo4bobobobo$obobobobobo4bobobobobobobo
4bo$4bobobobobobobo4bobobobobobobo$bobobo4bobobobobobobo4bobobobo$bobo
bobobobo4bobobobobobobo4bo$o4bobobobobobobo4bobobobobobo$obobobo4bobob
obobobobo4bobobo$obobobobobobo4bobobobobobobo$bo4bobobobobobobo4bobobo
bobobo$bobobobo4bobobobobobobo4bobobo$bobobobobobobo4bobobobobobobo$ob
o4bobobobobobobo4bobobobobo$obobobobo4bobobobobobobo4bobo$2bobobobobob
obo4bobobobobobobo$bobo4bobobobobobobo4bobobobobo$bobobobobo4bobobobob
obobo4bobo$3bobobobobobobo4bobobobobobobo$obobo4bobobobobobobo4bobobob
o$obobobobobo4bobobobobobobo4bo$4bobobobobobobo4bobobobobobobo$bobobo
4bobobobobobobo4bobobobo$bobobobobobo4bobobobobobobo4bo$o4bobobobobobo
bo4bobobobobobo$obobobo4bobobobobobobo4bobobo$obobobobobobo4bobobobobo
bobo$bo4bobobobobobobo4bobobobobobo$bobobobo4bobobobobobobo4bobobo$bob
obobobobobo4bobobobobobobo$obo4bobobobobobobo4bobobobobo!

This agar has hollow 3x3 squares in one phase:

Code: Select all

x = 22, y = 22, rule = B3/S23
b4o2b4ob4o2b4o$bobo8bobo$4ob4o2b4ob4o$5bobo8bobo$2o2b4ob4o2b4ob2o$o8bo
bo8bo$ob4o2b4ob4o2b3o$2bobo8bobo$b4ob4o2b4ob4o$6bobo8bobo$3o2b4ob4o2b
4obo$bo8bobo8bo$2ob4o2b4ob4o2b2o$3bobo8bobo$2b4ob4o2b4ob4o$7bobo8bobo$
4o2b4ob4o2b4o$obo8bobo$3ob4o2b4ob4o2bo$4bobo8bobo$o2b4ob4o2b4ob3o$8bob
o8bobo!

Here are a few more:

Code: Select all

x = 115, y = 36, rule = B3/S23
b2o3b2o3b2o3b2o11bo2bobo2bobo2bobo2bo10bo3b5o3b5o3b4o9bo3b3o3b3o3b3o3b
2o$2b2o3b2o3b2o3b2o10bo2bobo2bobo2bobo2bo10bobobobobobobobobobobobo11b
obobobobobobobobobobobo$3b2o3b2o3b2o3b2o10bo4bo4bo4bo17bobo5bobo5bobo
10bobo3bobo3bobo3bobo$o3b2o3b2o3b2o3bo10b4ob4ob4ob4o9b5o3b5o3b5o12b2o
3b3o3b3o3b3o3bo$3b2o3b2o3b2o3b2o13bo4bo4bo4bo9bobobobobobobobobobobobo
10bobobobobobobobobobobobo$2b2o3b2o3b2o3b2o10bobo2bobo2bobo2bobo12bobo
5bobo5bobo15bobo3bobo3bobo3bobo$3b2o3b2o3b2o3b2o9bobo2bobo2bobo2bobo
11bo3b5o3b5o3b4o9b3o3b3o3b3o3b3o$o3b2o3b2o3b2o3bo12bo4bo4bo4bo10bobobo
bobobobobobobobobo11bobobobobobobobobobobobo$2o3b2o3b2o3b2o12b2ob4ob4o
b4ob2o14bobo5bobo5bobo12bobo3bobo3bobo3bobo$o3b2o3b2o3b2o3bo10bo4bo4bo
4bo12b5o3b5o3b5o13b3o3b3o3b3o3b3o$3b2o3b2o3b2o3b2o11bobo2bobo2bobo2bob
o9bobobobobobobobobobobobo10bobobobobobobobobobobobo$o3b2o3b2o3b2o3bo
11bobo2bobo2bobo2bobo10bobo5bobo5bobo13bo3bobo3bobo3bobo3bo$2o3b2o3b2o
3b2o12bo4bo4bo4bo13bo3b5o3b5o3b4o11b3o3b3o3b3o3b3o$b2o3b2o3b2o3b2o11b
4ob4ob4ob4o10bobobobobobobobobobobobo11bobobobobobobobobobobobo$2o3b2o
3b2o3b2o15bo4bo4bo4bo15bobo5bobo5bobo10bo3bobo3bobo3bobo3bo$o3b2o3b2o
3b2o3bo10bo2bobo2bobo2bobo2bo9b5o3b5o3b5o15b3o3b3o3b3o3b3o$2o3b2o3b2o
3b2o13bo2bobo2bobo2bobo2bo9bobobobobobobobobobobobo10bobobobobobobobob
obobobo$b2o3b2o3b2o3b2o13bo4bo4bo4bo12bobo5bobo5bobo13bobo3bobo3bobo3b
obo$2b2o3b2o3b2o3b2o10bob4ob4ob4ob3o9bo3b5o3b5o3b4o9bo3b3o3b3o3b3o3b2o
$b2o3b2o3b2o3b2o11bo4bo4bo4bo13bobobobobobobobobobobobo11bobobobobobob
obobobobobo$2o3b2o3b2o3b2o13bobo2bobo2bobo2bobo15bobo5bobo5bobo10bobo
3bobo3bobo3bobo$b2o3b2o3b2o3b2o12bobo2bobo2bobo2bobo10b5o3b5o3b5o12b2o
3b3o3b3o3b3o3bo$2b2o3b2o3b2o3b2o14bo4bo4bo4bo9bobobobobobobobobobobobo
10bobobobobobobobobobobobo$3b2o3b2o3b2o3b2o9b3ob4ob4ob4obo10bobo5bobo
5bobo15bobo3bobo3bobo3bobo$2b2o3b2o3b2o3b2o12bo4bo4bo4bo44b3o3b3o3b3o
3b3o$92bobobobobobobobobobobobo$94bobo3bobo3bobo3bobo$92b3o3b3o3b3o3b
3o$91bobobobobobobobobobobobo$91bo3bobo3bobo3bobo3bo$93b3o3b3o3b3o3b3o
$92bobobobobobobobobobobobo$92bo3bobo3bobo3bobo3bo$94b3o3b3o3b3o3b3o$
91bobobobobobobobobobobobo$91bobo3bobo3bobo3bobo!

The last one is a p3/3 with displacement.

Subject: Stabilized p3 agars

I put some effort in trying to stabilize the p3 agars that I posted. Some of
them are very obstinate and refuse to be stabilized.

I had tried before, unsuccessfully, to stabilize the LifeLine agar (see message
1569).

Here are three fully stabilized agars:

Code: Select all

x = 93, y = 48, rule = B3/S23
23bo$22bobobobo2bobo2bobo2bobo2bobo2bo$21bobob2ob4ob4ob4ob4ob4o$21bobo
3bo4bo4bo4bo4bo$18b2obo2b4ob4ob4ob4ob4ob3o$12b2obo2bobobobo2bobo2bobo
2bobo2bobo2bobo2bo$7b2o2bobob3o4bo3b2o3b2o3b2o3b2o3b2o3bobo4bob2obob2o
b2o$8bo2bo2bo3b4ob3o2b3o2b3o2b3o2b3o2b3obo5b2obob2obobo$8bob2o4bobo2bo
bo4bo4bo4bo4bo4bo2bo4b2o8bobobo$9bo6b2o5bo2bobo2bobo2bobo2bobo2bobo6bo
2b7o3b2obo$7bobo4bob2o4bo4bo4bo4bo4bo4bo7b3o8b2o3bo$5bobo3b3obo6bo2bob
o2bobo2bobo2bobo2bobo2bo6bob3o7b2ob2o$b2o12b3o7bo4bo4bo4bo4bo4bo2b3ob
2o4b6obobo$o3bob9o2bo3bo3bobo2bobo2bobo2bobo2bobo2bob4ob2o2bo8bobobo$b
o2bobo8bo2b2ob4obo2bobo2bobo2bobo2bobo2bobo3bo3bo2b7o3b2obo$2bobobob6o
4b2ob3o2bo4bo4bo4bo4bo4bo7b3o8b2o3bo$3b2ob2o7b3obo6bo2bobo2bobo2bobo2b
obo2bobo2bo6bob3o7b2ob2o$5bo3b2o8b3o7bo4bo4bo4bo4bo4bo2b3ob2o4b6obobo$
5bob2o3b7o2bo3bo3bobo2bobo2bobo2bobo2bobo2bob4ob2o2bo8bobobo$6bobobo8b
o2b2ob4obo2bobo2bobo2bobo2bobo2bobo3bo3bo2b7o3b2obo$8bobob6o4b2ob3o2bo
4bo4bo4bo4bo4bo7b3o8b2o3bo$7b2ob2o7b3obo6bo2bobo2bobo2bobo2bobo2bobo2b
o6bob3o7b2ob2o$9bo3b2o8b3o7bo4bo4bo4bo4bo4bo2b3ob2o4b6obobo$9bob2o3b7o
2bo3bo3bobo2bobo2bobo2bobo2bobo2bob4ob2o2bo8bobobo$10bobobo8bo2b2ob4ob
o2bobo2bobo2bobo2bobo2bobo3bo3bo2b7o3b2obo$12bobob6o4b2ob3o2bo4bo4bo4b
o4bo4bo7b3o8b2o3bo$11b2ob2o7b3obo6bo2bobo2bobo2bobo2bobo2bobo2bo6bob3o
7b2ob2o$13bo3b2o8b3o7bo4bo4bo4bo4bo4bo2b3ob2o4b6obobo$13bob2o3b7o2bo3b
o3bobo2bobo2bobo2bobo2bobo2bob4ob2o2bo8bobobo$14bobobo8bo2b2ob4obo2bob
o2bobo2bobo2bobo2bobo3bo3bo2b7o3b2obo$16bobob6o4b2ob3o2bo4bo4bo4bo4bo
4bo7b3o8b2o3bo$15b2ob2o7b3obo6bo2bobo2bobo2bobo2bobo2bobo2bo6bob3o7b2o
b2o$17bo3b2o8b3o7bo4bo4bo4bo4bo4bo2b3ob2o4b6obobobo$17bob2o3b7o2bo3bo
3bobo2bobo2bobo2bobo2bobo2bob4ob2o2bo8bobo2bo$18bobobo8bo2b2ob4obo2bob
o2bobo2bobo2bobo2bobo3bo3bo2b9obo3bo$20bobob6o4b2ob3o2bo4bo4bo4bo4bo4b
o7b3o12b2o$19b2ob2o7b3obo6bo2bobo2bobo2bobo2bobo2bobo2bo6bob3o3bobo$
21bo3b2o8b3o7bo4bo4bo4bo4bo4bo4b2obo4bobo$21bob2o3b7o2bo6bobo2bobo2bob
o2bobo2bobo2bo5b2o6bo$22bobobo8b2o4bo2bo4bo4bo4bo4bo4bobo2bobo4b2obo$
24bobob2obob2o5bob3o2b3o2b3o2b3o2b3o2b3ob4o3bo2bo2bo$23b2ob2obob2obo4b
obo3b2o3b2o3b2o3b2o3b2o3bo4b3obobo2b2o$40bo2bobo2bobo2bobo2bobo2bobo2b
obobobo2bob2o$41b3ob4ob4ob4ob4ob4o2bob2o$45bo4bo4bo4bo4bo3bobo$41b4ob
4ob4ob4ob4ob2obobo$41bo2bobo2bobo2bobo2bobo2bobobobo$69bo!

Code: Select all

x = 52, y = 50, rule = B3/S23
23b2o2b2o$23bo2bobo$24b3obobo$21bo5bobobo$21b4obo2bo2bo$25bobo2bobo$
19b4obo2bob2obobo$18bo4bobo5bobobo$18b3obo2bob2obo2bo2bo$15bo5bobo5bob
o2bobo$15b4obo2bob2obo2bob2obobo$19bobo5bobo5bobobo$13b4obo2bob2obo2bo
b2obo2bo2bo$12bo4bobo5bobo5bobo2bobo$12b3obo2bob2obo2bob2obo2bob2obobo
$9bo5bobo5bobo5bobo5bobobo$9b4obo2bob2obo2bob2obo2bob2obo2bo2bo$13bobo
5bobo5bobo5bobo2bobo$7b4obo2bob2obo2bob2obo2bob2obo2bob2obobo$6bo4bobo
5bobo5bobo5bobo5bobobo$6b3obo2bob2obo2bob2obo2bob2obo2bob2obo2bo2bo$3b
o5bobo5bobo5bobo5bobo5bobo2bobo$3b4obo2bob2obo2bob2obo2bob2obo2bob2obo
2bob2obobo$o6bobo5bobo5bobo5bobo5bobo5bobobo$5obo2bob2obo2bob2obo2bob
2obo2bob2obo2bob2obo2bobo$5bobo5bobo5bobo5bobo5bobo5bobob2o$2b3o2bob2o
bo2bob2obo2bob2obo2bob2obo2bob2obo2bo$2bo2bo5bobo5bobo5bobo5bobo5bobob
o$3bobob2obo2bob2obo2bob2obo2bob2obo2bob2obo2bob2o$2b2o5bobo5bobo5bobo
5bobo5bobobo$4bob3o2bob2obo2bob2obo2bob2obo2bob2obo2bobo$4bobo2bo5bobo
5bobo5bobo5bobob2o$3b2o2bobob2obo2bob2obo2bob2obo2bob2obo2bo$6b2o5bobo
5bobo5bobo5bobobo$8bob3o2bob2obo2bob2obo2bob2obo2bob2o$8bobo2bo5bobo5b
obo5bobobo$7b2o2bobob2obo2bob2obo2bob2obo2bobo$10b2o5bobo5bobo5bobob2o
$12bob3o2bob2obo2bob2obo2bo$12bobo2bo5bobo5bobobo$11b2o2bobob2obo2bob
2obo2bob2o$14b2o5bobo5bobobo$16bob3o2bob2obo2bobo$16bobo2bo5bobob2o$
15b2o2bobob2obo2bo$18b2o5bobobo$20bob3o2bob2o$20bobo2bobo$19b2obobo2bo
$23bo3b2o!

Code: Select all

x = 56, y = 51, rule = B3/S23
30bo$26bob5o$26b2o5bo$22bob2o3b2obo2b2o$22b2o3b2obob2obo$18bob2o3b2o6b
obo$18b2o3b2obobob3o2b2o$14bob2o3b2o5bo4bobo$14b2o3b2obobob2o2b2obobo
3b2o$10bob2o3b2o5bo4bo6b2o2bo$10b2o3b2obobob2o2b2obobob3o2b2o$6bob2o3b
2o5bo4bo5bo4bobo$6b2o3b2obobob2o2b2obobob2o2b2obobo3b2o$2bob2o3b2o5bo
4bo5bo4bo6b2o2bo$2b2o3b2obobob2o2b2obobob2o2b2obobob3o2b2o$2o3b2o5bo4b
o5bo4bo5bo4bobo$o2b2obobob2o2b2obobob2o2b2obobob2o2b2obobo3b2o$b2o5bo
4bo5bo4bo5bo4bo6b2o2bo$2bobob2o2b2obobob2o2b2obobob2o2b2obobob3o2b2o$
2bobo4bo5bo4bo5bo4bo5bo4bobo$b2o2b3obobob2o2b2obobob2o2b2obobob2o2b2ob
obo3b2o$o2b2o6bo4bo5bo4bo5bo4bo6b2o2bo$2o3bobob2o2b2obobob2o2b2obobob
2o2b2obobob3o2b2o$5bobo4bo5bo4bo5bo4bo5bo4bobo$4b2o2b3obobob2o2b2obobo
b2o2b2obobob2o2b2obobo3b2o$3bo2b2o6bo4bo5bo4bo5bo4bo6b2o2bo$3b2o3bobob
2o2b2obobob2o2b2obobob2o2b2obobob3o2b2o$8bobo4bo5bo4bo5bo4bo5bo4bobo$
7b2o2b3obobob2o2b2obobob2o2b2obobob2o2b2obobo3b2o$6bo2b2o6bo4bo5bo4bo
5bo4bo6b2o2bo$6b2o3bobob2o2b2obobob2o2b2obobob2o2b2obobob3o2b2o$11bobo
4bo5bo4bo5bo4bo5bo4bobo$10b2o2b3obobob2o2b2obobob2o2b2obobob2o2b2obobo
$9bo2b2o6bo4bo5bo4bo5bo4bo5b2o$9b2o3bobob2o2b2obobob2o2b2obobob2o2b2ob
obob2o2bo$14bobo4bo5bo4bo5bo4bo5b2o3b2o$13b2o2b3obobob2o2b2obobob2o2b
2obobob2o3b2o$12bo2b2o6bo4bo5bo4bo5b2o3b2obo$12b2o3bobob2o2b2obobob2o
2b2obobob2o3b2o$17bobo4bo5bo4bo5b2o3b2obo$16b2o2b3obobob2o2b2obobob2o
3b2o$15bo2b2o6bo4bo5b2o3b2obo$15b2o3bobob2o2b2obobob2o3b2o$20bobo4bo5b
2o3b2obo$19b2o2b3obobob2o3b2o$20bobo6b2o3b2obo$20bob2obob2o3b2o$19b2o
2bob2o3b2obo$22bo5b2o$23b5obo$25bo!

For the p3/3 agar, all I found is a wall for one side, and an internal
irregularity:

Code: Select all

x = 46, y = 60, rule = B3/S23
o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b2obo3b2o2b2o2b2obo3b2o4b
3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo2b2obo3b2o4b3o6b2o4b3o2b
2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b2o4b3o2b2obo6b3o2b2obo3b
2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b2obo3b2o2b2o2b2obo3b
2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo2b2obo3b2o4b3o6b2o4b
3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b2o4b3o2b2obo6b3o2b2ob
o3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b2obo3b2o2b2o2b2obo
3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo2b2obo3b2o4b3o6b2o
4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b2o4b3o2b2obo6b3o2b
2obo3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b2obo3b2o2b2o2b
2obo3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo2b2obo3b2o4b3o
6b2o4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b2o4b3o2b2obo6b
3o2b2obo3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b2obo3b2o2b
2o2b2obo3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo2b2obo3b2o
4b3o6b2o4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b2o4b3o2b2ob
o6b3o2b2obo3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b2obo3b2o
2b2o2b2obo3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo2b2obo3b
2o4b3o6b2o4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b2o4b3o2b
2obo6b3o2b2obo3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b2obo
3b2o2b2o2b2obo3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo2b2o
bo3b2o4b3o6b2o4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b2o4b
3o2b2obo6b3o2b2obo3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b3o2b
2obo3b2o2b2o2b2obo3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo$3bo
2b2obo3b2o4b3o6b2o4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b3o3b
2o4b3o2b2obo6b3o2b2obo3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b3o3b
3o2b2obo3b2o2b2o2b2obo3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b2obo
$3bo2b2obo3b2o4b3o6b2o4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b2o$b
3o3b2o4b3o2b2obo6b3o2b2obo3b2o$o3b2o4b3o2b2obo3b3ob2o2b2obo3b2o4b3o$b
3o3b3o2b2obo3b2o2b2o2b2obo3b2o4b3o2bo$4b3o2b2obo3b2o4bo2bobo3b2o4b3o2b
2obo$3bo2b2obo3b2o4b3o6b2o4b3o2b2obo$4bobo3b2o4b3o2b2ob3o4b3o2b2obo3b
2o$b3o3b2o4b3o2b2obo6b3o2b2obo3b2o!

For this other agar, I found several walls with different slopes, but not
enough corners to close a polygon:

Code: Select all

x = 100, y = 118, rule = B3/S23
60b2o6b2o6b2o6b2o$59bo2bo4bo2bo4bo2bo4bo2bob2o$59bo2bo4bo2bo4bo2bo4bo
2bobo$57bobob2ob2obob2ob2obob2ob2obob2obo$59bo2bobo2bo2bobo2bo2bobo2bo
2bob2o$58bob3obobob3obobob3obobob3obo$58bobobobobobobobobobobobobobobo
bo$58bo3b2o2bo3b2o2bo3b2o2bo3b2o$58bo2bo4bo2bo4bo2bo4bo2bo6b2o$57b2ob
2o3b2ob2o3b2ob2o3b2ob2o7bo$60bo7bo7bo7bo6bobob2o$57b3o2bo2b3o2bo2b3o2b
o2b3o2bo2b3obo2bo$60b2o2bo3b2o2bo3b2o2bo3b2o2bo5bobob2o$58bo3bobobo3bo
bobo3bobobo3bobob3o3bo2bo$60b2o6b2o6b2o6b2o6b2obob2o$62b3o5b3o5b3o5b3o
4bobo$57bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bo2b4o$58bobobo3bobobo3bobo
bo3bobobo3bobobo4bo$60bob2o4bob2o4bob2o4bob2o4bob2o2bo$57b2o2bo2b3o2bo
2b3o2bo2b3o2bo2b3o2bo2bobo$58b2ob4ob2ob4ob2ob4ob2ob4ob2ob3o$57b2o2bo3b
2o2bo3b2o2bo3b2o2bo3b2o2bo3bo$57bob3o3bob3o3bob3o3bob3o3bob3o2b2o$57bo
2bo4bo2bo4bo2bo4bo2bo4bo2bo5bo$57bo4b2obo4b2obo4b2obo4b2obo4b4o$57bob
3obobob3obobob3obobob3obobob3o$62bobo5bobo5bobo5bobo5b2o$57b5o3b5o3b5o
3b5o3b5o2bo$57bobobobobobobobobobobobobobobobobobobobo$58bobo5bobo5bob
o5bobo5bobo2b2o$57bo3b5o3b5o3b5o3b5o3bo4b2o$57bobobobobobobobobobobobo
bobobobobobob5obo$62bobo5bobo5bobo5bobo2b2o$15bo3bo3bo3b3o3b5o3b5o3b5o
3b5o3b5o3b5o3b5o3bo4b2o$14bobo3b6obobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobob5obo$14bob4o2bo3bobo5bobo5bobo5bobo5bobo5bo
bo5bobo5bobo2b2o$11bo3bo3bo3b3o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3bo4b2o$10b
obo3b6obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
5obo$10bob4o2bo3bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo2b2o$7bo3bo3bo
3b3o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3bo4b2o$6bobo3b6obobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobob5obo$6bob4o2bo3bobo5bobo5bob
o5bobo5bobo5bobo5bobo5bobo2b2o$3bo3bo3bo3b3o3b5o3b5o3b5o3b5o3b5o3b5o3b
5o3bo4b2o$2bobo3b6obobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobob5obo$2bob4o2bo3bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo2b2o
$obo4bo3b3o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3bo4b2o$2ob7obobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobob5obo$3bo2bo3bobo5bobo5bob
o5bobo5bobo5bobo5bobo5bobo2b2o$2obo3b3o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3bo
4b2o$obob2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obob5obo$6bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo2b2o$b3obo3b5o3b5o3b
5o3b5o3b5o3b5o3b5o3bo4b2o$o3b2obobobobobobobobobobobobobobobobobobobob
obobobobobobobobobob5obo$b2o3b2o2bobo5bobo5bobo5bobo5bobo5bobo5bobo2b
2o$3b2o4bo3b5o3b5o3b5o3b5o3b5o3b5o3bo4b2o$3bob5obobobobobobobobobobobo
bobobobobobobobobobobobobobob5obo$10b2o2bobo5bobo5bobo5bobo5bobo5bobo
2b2o$7b2o4bo3b5o3b5o3b5o3b5o3b5o3bo4b2o$7bob5obobobobobobobobobobobobo
bobobobobobobobobob5obo$14b2o2bobo5bobo5bobo5bobo5bobo2b2o$11b2o4bo3b
5o3b5o3b5o3b5o3bo4b2o$11bob5obobobobobobobobobobobobobobobobobob5obo$
18b2o2bobo5bobo5bobo5bobo2b2o$15b2o4bo3b5o3b5o3b5o3bo4b2o$15bob5obobob
obobobobobobobobobobob5obo$22b2o2bobo5bobo5bobo2b2o$19b2o4bo3b5o3b5o3b
o4b2o$19bob5obobobobobobobobobob5obo$26b2o2bobo5bobo2b2o$23b2o4bo3b5o
3bo4b2o$23bob5obobobobobob5obo$30b2obobobob2o$27b2o5bobo5b2o$27bob4obo
bob4obo$31bobo3bobo11$15b5o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3b5o$13bobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$16bob
o5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo$12b4o3b5o3b5o3b5o3b5o3b5o3b
5o3b5o3b5o3bo$13bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobo$12bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo$15b
5o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3b5o$13bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo$16bobo5bobo5bobo5bobo5bobo5bob
o5bobo5bobo5bobo$12b4o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3b5o3bo$13bobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$13bobo
5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo$13bobobo3bobobo3bobobo3bobobo
3bobobo3bobobo3bobobo3bobobo3bobobo$13bo2b2o3bo2b2o3bo2b2o3bo2b2o3bo2b
2o3bo2b2o3bo2b2o3bo2b2o3bo2b2o$13bo4b2obo4b2obo4b2obo4b2obo4b2obo4b2ob
o4b2obo4b2obo4b2o$13bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bo
bo2bo2bobo2bo2bobo2bo$12bob3obobob3obobob3obobob3obobob3obobob3obobob
3obobob3obobob3obo$13bo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobo
bo3bobobo3bobo$13b2ob2obob2ob2obob2ob2obob2ob2obob2ob2obob2ob2obob2ob
2obob2ob2obob2ob2obo$15bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobob
o3bobobo3bobobo$13b3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o
3bo$13b5obob5obob5obob5obob5obob5obob5obob5obob5obo$19bo7bo7bo7bo7bo7b
o7bo7bo7bo$14bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$13b
o7bo7bo7bo7bo7bo7bo7bo7bo$12bo5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b2o$18b
2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o$16bob2o4bob2o4bob2o4bob2o4bob2o4bob
2o4bob2o4bob2o4bob2o$15b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o$19bo7bo7bo
7bo7bo7bo7bo7bo7bo$18b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o$12bo6b2o6b2o
6b2o6b2o6b2o6b2o6b2o6b2o6bo$12bo5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b2o!

I'll let some volunteer finish this one. There are several possibilities that
could work:
- Connect the left end of the top wall to either of the diagonal walls.
- Connect the top wall to its mirror image.
- Connect the upper-left diagonal wall to its mirror image.

[pcallahan]

I'll let some volunteer finish this one. There are several possibilities that
could work:
- Connect the left end of the top wall to either of the diagonal walls.
- Connect the top wall to its mirror image.
- Connect the upper-left diagonal wall to its mirror image.

Thanks. I'm set up to explore other symmetries (cross-surface, adjacent squares at 90° rotations, and toroidal with a shift at the boundaries). Unfortunately, the SAT solver is pretty unpredictable and usually slow for period-3.

This is also not something I'm really very interested in. It is just proof of concept. I wonder if forcing a certain number of cells to follow a time pattern could narrow down the range. E.g., require that at least k cells repeat (0, 0, 1) or (0, 1, 1). The nice thing about using a SAT solver once you've implemented cardinality constraints is that it is pretty easy to add that kind of logic.

Added: Here's one I like, with a small number of disconnected stators and rotational symmetry. (Added later: oh never mind, it's just a packing of disconnected oscillators. I am not sure how I could express the requirement that it really has to be an agar.)

Code: Select all

x = 36, y = 36, rule = B3/S23:T36,36
# [[ GPS 3 ]]
7bobo15bobo$8b3o15b3o$10bo17bo$4b2o3bob3o8b2o3bob3o$3b2o7b3o6b2o7b3o$
3b2o3b3o3bo6b2o3b3o3bo$3bo17bo$b2o2bo11bob2o2bo11bo$2obobo6bo3bob2obob
o6bo3bo$bo3bo6bobob2obo3bo6bobob2o$o11bo2b2obo11bo2b2o$14bo17bo$3bo3b
3o3b2o6bo3b3o3b2o$3b3o7b2o6b3o7b2o$4b3obo3b2o8b3obo3b2o$7bo17bo$7b3o
15b3o$8bobo15bobo$7bobo15bobo$8b3o15b3o$10bo17bo$4b2o3bob3o8b2o3bob3o$
3b2o7b3o6b2o7b3o$3b2o3b3o3bo6b2o3b3o3bo$3bo17bo$b2o2bo11bob2o2bo11bo$
2obobo6bo3bob2obobo6bo3bo$bo3bo6bobob2obo3bo6bobob2o$o11bo2b2obo11bo2b
2o$14bo17bo$3bo3b3o3b2o6bo3b3o3b2o$3b3o7b2o6b3o7b2o$4b3obo3b2o8b3obo3b
2o$7bo17bo$7b3o15b3o$8bobo15bobo!

It's not the same as the one I posted earlier, which has no stators, just those blocks in the middle.

[otismo]

Is there in CGoL such a thing as "moving" or "flowing" conduits, or signals which act as conduits for other signals ?

I am envisioning bi-directional universal construction, with feedback flowing in both directions that modifies the construct...

[dvgrn]

Is there in CGoL such a thing as "moving" or "flowing" conduits, or signals which act as conduits for other signals ?

I am envisioning bi-directional universal construction, with feedback flowing in both directions that modifies the construct...

I remember there was a small amount of discussion after the discovery of the doo-dah spaceship, about whether a 2c/7 universal constructor toolkit could be assembled. It still seems to me that a moving UC toolkit might be a little easier at c/10, with signal storage loops made out of fireships.

We don't have all the pieces yet, and some of the pieces are a bit tricky -- but not impossible, I think.

A nice thing about a 2c/7 UC toolkit, if it can be completed, is that it seems like it might slightly increase the chance that a moving replicator could be designed that would successfully "run away from its problems", leaving a growing patch of incredible chaos behind itself as most descendants crash into each other and make a huge mess, but a few replicators continue to survive around the edges.

Then again, maybe the obvious way to make a replicator run away from its problems these days would be to borrow Speed Demonoid technology and build descendants a good long distance away. But that would involve stationary conduits, not moving ones.

[yujh]

Where can I find a database full of object with their apgcodes and names?(latest)

[C28]

is this considered a methuselah?

Code: Select all

x = 609, y = 543, rule = B3/S23
298b2o$298b2o4$303bo$302bobo$303b2o11$430b2o$431bo$431bobo$432b2o20$341b
2o$341bobo$343bo$343b2o47$366b2o$367bo$367bobo$368b2o25$442b2o$442b2o
45$292b2o$291bobo$291bo$290b2o4$183b2o$182bobo$182bo$181b2o31$78b2o$77b
obo$77bo$76b2o159bo$237b3o$240bo$239b2o8$2o$2o10$403bo$401b3o$400bo$400b
2o9$205bo$206bo$204b3o2b2o$209bobo$211bo$211b2o54$135b2o$135b2o3$141b
o$140bobo$141b2o14$160b2o$160bobo$162bo$162b2o17$406bo$406b3o$409bo$408b
2o28$505b2o$505bobo$507bo$507b2o13$403b2o$403b2o13$452b2o$452bobo$453b
o3$458b2o$458b2o2$607b2o$451b2o154b2o$451b2o7$375b2o$375bo$373bobo$373b
2o27$187b2o$187bobo$189bo$189b2o7$521b2o$499b2o20bobo$499b2o21bo$268b
2o$268b2o$527b2o$527b2o6$361b2o$361b2o6$273b2o$273b2o$285b2o$285b2o13$
296b2o$296bobo$298bo$298b2o19$133b2o$133b2o21$217b2o$217bobo$219bo$219b
2o!

[wildmyron]

Where can I find a database full of object with their apgcodes and names?(latest)

The one which Catagolue uses itself is probably the most comprehensive. You can find it here:
https://gitlab.com/apgoucher/catagolue/ ... -names.txt

[dvgrn]

is this considered a methuselah?

Not really. There are probably more different Life patterns of that size that last longer than 36,000 ticks, than there are electrons in the observable universe. A methuselah generally starts with a much smaller bounding box and population than that; otherwise you could just as well call almost every random soup above a certain size a "methuselah".

There's no real consensus on the definition of methuselah, but the definition tends to include something about "becomes much larger than its initial configuration" (in area, not just in population).

[wwei23]

That being said, if you place your blinkers and pre-blocks very carefully, you can get really-long-lived methuselahs with less cells than that.

[dvgrn]

That being said, if you place your blinkers and pre-blocks very carefully, you can get really-long-lived methuselahs with less cells than that.

True... except I still would be very careful not to call those "methuselahs", because at this pattern size, there are still probably more of them than there are electrons in the visible universe.

Part of the definition of "methuselah" seems to be that it has to be interestingly rare. For any given size, there's only just so much interestingness to go around, and if you have to divide total interestingness evenly among 10^80 different patterns, each pattern is just plain not very interesting.

[mniemiec]

... This pattern looks like the result of a corrupted rle.

Are you referring to the use of the "x" state? In my synthesis database, I have always "o" for "before" cells and "x" for "after" cells, and sometimes "y" for "junk" cells (for Life programs that choose to differentiate between them). Most programs (e.g. Golly using the QuickLife engine) will just treat them the same under normal Life rules, so you will see a monochromatic pattern.