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Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 77topaz » May 1st, 2018, 6:41 pm

That pattern does behave like a XOR gate, yes. The multiple inputs on the other pattern were a cause of confusion.
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 3rd, 2018, 3:53 pm

Simple and small p24 guns:
x = 29, y = 39, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$16bo$8bo$6b3o$6bo12b2o$10bo2bo5bo$7bobo8bo2bo$10bo2bo5b3o$6bo12bo$6b
3o6bo$8bo4bobo$13b3o2$10bo$13bo$13b2o$13bo2bo$10bo$15bo4$11b2o$9bo2bo$
9b2ob2o$11bo2$6bo3$10bobo3$10bobo$11bo$7b2o5b2o$8bo2bo2bo$8b2o3b2o!


Edit1:
something that looks close to a small p29 gun:
x = 27, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18bo$13bo2b3o$16bo3$8bo9bo$bo8bo5bo8bo$3bo5b2o5b2o5bo$2b2o9bo9b2o$11b
5o$o9bo5bo$10bo2bo2bo$10bo5bo9bo$11b5o$2b2o9bo9b2o$3bo5b2o5b2o5bo$bo8b
o5bo8bo$8bo9bo$11bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 4th, 2018, 4:12 pm

A small p22 G-gun:
x = 5, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$bo$2o2bo2$4bo3$4bo3$4bo2$o2$4bo3$4bo3$4bo2$2o2bo$bo$b2o!

from this oscillator: https://catagolue.appspot.com/object/xp ... 4iz5ar6i7e
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby AbhpzTa » May 6th, 2018, 4:38 pm

2718281828 wrote:Thus, all guns of a period with an integer factorization that contains no large prime numbers can be relatively small (esp. no G-shuttle is required - for large prime numbers I do not know any other solution than using a G/R/snowflake-signal - shuttles)


p13671874991 (prime: 56 x 5^12 - 9) G gun:
x = 85, y = 60, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
33bo16bo$25b2o4bo20bo$25bo2bo2b2o18b2o$27b2o$15bo$17bo20b2o$16b2o20bo$
40bo10b3o$51bobo$27b2o22b3o22bo$25bo2bo6bo42bo$25b2o3b2o7b2o28bo7b2o$
30bo9bo26b5o$32bo5bo28bo3bo$27bo3b2o5b2o26b2obob2o3bo$25bo10bo30bo3bo
2b5o$17bo7b2o40b5o2bo3bo$30b2o7bo29bo3b2obob2o2b2o$31bo42bo3bo3bo$17b
2o5b2o3bo44b5o5bo$18bo5bo20bo30bo$10b2o4bo9bo12b2o6bo3b3o4bo$10bo2bo2b
2o7b2o12bo2bo3b2o3bobo2bo$12b2o27b2o8b3o2b2o14bo3bo$o71bo3bo$2bo68b2o
3b2o$b2o27b2o3bo3bo18bo$31bo24bo$29bo26b2o$12b2o27b2o$10bo2bo2b2o3b2o
16bo2bo2b2o5b2o$10b2o5bo4bo4bo11b2o4bo6bo$15bo4bo4bo5b2o14bo6bo18b2o3b
2o$20b2o3b2o2bo2bo16bo12bo11bo3bo$29b2o20bo9b3o10bo3bo$42bo7b2o9bobo$
40bo21bo$40b2o$74bo$72b3o$12bo16b2o11bo38bo$10bo5b2o7b2o2bo2bo7bo38bo$
2bo7b2o4bo9bo4b2o7b2o37b2o$18bo5bo21b2o7b2o15b3o$17b2o5b2o20bo9bo5bo4b
2o5bo$2b2o5b2o21b2o5b2o7bo5bo5b5o2bo$3bo5bo23bo5bo7b2o5b2o4bo3bo4bo2b
2o$bo9bo4b2o7b2o4bo9bo17b2o3b2o7bo$b2o7b2o2bo2bo7bo5b2o7b2o3b2o24bo$
14b2o11bo15bo2bo8b2o$43b2o10bo$57bo$25b2o4bo30b2o$25bo7bo28bo$27bo4b2o
30bo$14b2o$5b2o3b2o2bo2bo25b2o6b2o$6bo4bo4b2o21b2o2bo2bo5bo$4bo4bo30bo
4b2o3bo$38bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby danny » May 6th, 2018, 7:47 pm

AbhpzTa wrote:p13671874991 (prime: 56 x 5^12 - 9) G gun:
RLE


Amazing gun! I think it's worth it if we start compiling a list of the smallest guns for each period below, say, 10000, starting with those simple extensible guns from awhile back.

I've made a p3 half-adder, repeat time 87 (can be underclocked at several periods (the lowest of which being 39), awkwardly, because I'm terrible at designing circuits and added a bunch of crossovers. I bet the repeat time is even more irritating because of the junction over the input lane. Siiigghhh.):
x = 516, y = 394, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
431bo$430bobo$430b3o$431bo42$430bobo$430b3o41$431bo$430bobo$430b3o$
431bo42$430bobo$430b3o41$431bo$430bobo$430b3o$431bo42$430bobo$430b3o
22$510bo$512bo$511b2o3$374bo67bo69bo$372bo67bo69b5o$372b2o66b2o68bo3bo
$509b2obob2o$510bo3bo$372bo67bo69b5o$370b5o63b5o45bo23bo$370bo3bo63bo
3bo43b5o$369b2obob2o61b2obob2o42bo3bo$370bo3bo63bo3bo38b2o2b2obob2o$
370b5o63b5o39bo3bo3bo$366bo5bo67bo5bo33bo5b5o$358bo5b5o75b5o39bo$360bo
3bo3bo75bo3bo$359b2o2b2obob2o61bo11b2obob2o2b2o$364bo3bo75bo3bo3bo$
364b5o75b5o5bo$366bo64bo14bo3$429bobobo$427b2ob3ob2o$428bo2bo2bo$428b
2o3b2o28$392bo67bo$390bo67bo$349bo40b2o66b2o$347bo$347b2o$390bo67bo$
388b5o63b5o$347bo40bo3bo63bo3bo$345b5o37b2obob2o61b2obob2o$345bo3bo38b
o3bo63bo3bo$344b2obob2o37b5o63b5o$345bo3bo34bo5bo67bo$345b5o26bo5b5o$
347bo12bo17bo3bo3bo$358b5o5bo8b2o2b2obob2o$358bo3bo3bo15bo3bo$357b2obo
b2o2b2o14b5o$358bo3bo21bo$358b5o69bo$360bo36bo32bo$397b3o30b2o$396bo2b
o$2o41b2o42b2o172b2o41b2o42b2o47bo$bo40bob2o42bo173bo40bob2o42bo40bo2b
o2b3o31bo$2o41b2o42b2o172b2o41b2o42b2o47bo30b5o$396bo2bo28bo3bo$397b3o
27b2obob2o$379bo17bo30bo3bo$377b5o46b5o$377bo3bo48bo15bo$376b2obob2o2b
2o57b5o$377bo3bo3bo58bo3bo$377b5o5bo55b2obob2o2b2o$354bo24bo64bo3bo3bo
$352b5o10b2o7b2o66b5o5bo$352bo3bo10bo8bo69bo$351b2obob2o8b2o7b2o66b2o$
352bo3bo87bo$352b5o87b2o$354bo$471bo34bo$445bo23b5o30b5o$354b2o87b5o
21bo3bo30bo3bo$354bo88bo3bo16b2o2b2obob2o24b2o2b2obob2o$356bo85b2obob
2o16bo3bo3bo26bo3bo3bo$443bo3bo15bo5b5o24bo5b5o$443b5o23bo22bo11bo$
424bo20bo18bo27b5o$416bo5b5o35b5o25bo3bo$381bo36bo3bo3bo35bo3bo24b2obo
b2o$383bo33b2o2b2obob2o33b2obob2o2b2o20bo3bo$382b2o38bo3bo35bo3bo3bo
21b5o$422b5o35b5o5bo21bo$424bo39bo$383bo$381b5o54bo42bo9b2o$381bo3bo
59bo35b5o8bo$380b2obob2o94bo3bo6bo$381bo3bo94b2obob2o2b2o$381b5o59bo
35bo3bo3bo$383bo14bo82b5o5bo$396b5o76bo5bo$396bo3bo42bobobo27b5o$395b
2obob2o2b2o35b2ob3ob2o25bo3bo$396bo3bo3bo37bo2bo2bo25b2obob2o$396b5o5b
o35b2o3b2o26bo3bo$392bo5bo76b5o$390b5o82bo$390bo3bo$389b2obob2o$390bo
3bo81b2o$365bo24b5o82bo$363b5o15bo8bo82bo$363bo3bo$358b2o2b2obob2o$
359bo3bo3bo15bo7b2o$357bo5b5o24bo$365bo5bo18bo$369b5o7bobobo$369bo3bo
5b2ob3ob2o$368b2obob2o5bo2bo2bo$369bo3bo6b2o3b2o$369b5o$371bo3$371b2o$
371bo$373bo$341bo$333bo5b5o$335bo3bo3bo$334b2o2b2obob2o$339bo3bo$339b
5o$341bo!

It took me around 2x as long to figure out the cursed repeat time of this thing than to assemble it.

Now that I think about it, a wiki article could be nice for this rule.

EDIT: Oh, also, that bit at the end is me trying to line up the signals, but as a consequence of mod 4 timing, both streams are desynced by exactly 1 generation from eachother. grr. I bet it could be fixed with p3 reflectors instead, but my brain is fried right now.
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 7th, 2018, 3:17 am

danny wrote:
AbhpzTa wrote:p13671874991 (prime: 56 x 5^12 - 9) G gun:
RLE

Amazing gun! I think it's worth it if we start compiling a list of the smallest guns for each period below, say, 10000, starting with those simple extensible guns from awhile back.


I agree, very nice gun construction. Still, I suspect this principle does not work for every large prime.

My actual G/R gun list up to period 38.
x = 100, y = 2002, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
19$16bo5bo17bo$38bo2$16bo5bo18bo2$38bo5bo$16bo5bo$36b2o3bo3b2o$37bo7bo
$16bo5bo14b2o2bo2b2o$31bo3bo$29bo$16bo5bo11bo$34bo2bo$29bo4bo2$31bo3bo
$37b2o2bo2b2o$37bo7bo$36b2o3bo3b2o2$38bo5bo2$41bo2$38bo$40bo8$39bo$37b
o13bo$49bo$40bo$46bo5bo$37bo5bo4bo$47b2o3bo2bo$35b2o3bo3b2o$36bo2b3o2b
o2bo4bo3b2o$36b2o2bo2b2o2b3o6bo$30bo3bo14bo5b2o$28bo$42b2o4b2o$32bobob
o4bob2o4bo2bo$28bo13b2o4b2o$52bo$30bo3bo$36b2o2bo2b2o$36bo2b3o2bo3b2o
5bo$35b2o3bo3b2o2bo6b3o$47b2o3bo4bo$37bo5bo$49bo2bo3bo$40bo15b3o$52bo
5bo$37bo$39bo9bo$51bo7$10bo5bo2bo2bo2$47bo$10bo11bo22b3o$45bo2$10bo5bo
2bo2bo$47bo5bo$42b2o7bo$10bo5bo26bo3bo3b2o$41bo$39bo7bo4bo$10bo5bo2bo
2bo14bo5b2o5b3o$37b2o2bo2bo5bo$41b2o$32b2o$32bo4bo9bo$31b2o4bo2bo4b4o$
37bo9bo2$41b2o$37b2o2bo2bo5bo$37bo5b2o5b3o$39bo7bo4bo$41bo$43bo3bo3b2o
$42b2o7bo$47bo5bo3$45bo$45b3o$47bo4$42bo15bo3bo$40b3o11bo5bo$40bo11b3o
$52bo$59b3o$42bo5bo4b3o$37b2o7b3o5bo$38bo3bo3bo3bo$36bo12b2obo9bo$34bo
7bo4bo3bo8bo$32bo5b2o5b3obo4bo3b3o$32b2o2bo2bo5bo3b3ob3o2bo$36b2o13bo
2bo2b2o$27b2o$27bo4bo9bo4b2o$26b2o4bo2bo4b4o2bob2o6b2o$32bo9bo4b2o8b2o
$57bo$36b2o18bo$32b2o2bo2bo5bo$32bo5b2o5b3o3bo2bo2bo$34bo7bo4bob3o5b3o
$36bo12bo4bo4bo$38bo3bo3b2o$37b2o7bo3bobo3bob2o$42bo5b3o7bo$48bo5bo5bo
2$40bo13bo$40b3o9bo2bo$42bo9b3o$54bo5$10bo5bo2bo2bo23bo3bo3$10bo11bo
25bo$53bo$44b2o5bo$10bo5bo2bo2bo22bo2bo2b2o$43bo3b3o$48bo4bo$10bo11bo
17bo3b2o5bo$38bo3bo2bo5b2o$38b2o2b2o$10bo5bo2bo2bo10bo$40bo4bo2bo$36bo
7bo$40bo4bo2bo$33bo$38b2o2b2o$38bo3bo2bo5b2o$40bo3b2o5bo$48bo4bo$43bo
3b3o$45bo2bo2b2o$44b2o5bo$53bo$48bo3$46bo3bo9$40bo3bo$48bo3bo2$42bo7bo
2$38b2o5bo4bo4bo$39bo2bo2b3o5bo$37bo3b3o3bo2bo2b2o$42bo7bo$34bo3b2o5bo
3b3o3bo$32bo3bo2bo5b3o2bo2bo$32b2o2b2o9bo2bo2b2o$27bo$34bo4bo2bo$30bo
7bo11b2o$34bo4bo2bo8b2o$27bo23bo$32b2o2b2o11b2o$32bo3bo2bo5bo$34bo3b2o
5b3o5bo$42bo4bob3ob3o$37bo3b3o11bo$39bo2bo2bo$38b2o5b3o5b2o$47bob3obo$
42bo6b3o3bo$50bo2$40bo3bo$48bo3bo8$10bo5bo5bo20bo2$45bo$10bo5bo5bo15bo
bobo$35b2o$36bo$10bo5bo2bo2bo13b2o$34bo$37bo$10bo11bo17bo$37bo5bo$34bo
12b2o$10bo11bo13b2o3bobobo2bo$37bob2ob3obo$35bo4bo2bo2b2o$38bo$41bo3bo
5$40b2o$38bo2bo$38b2o$36bo$39bo$42bo$39bo$36bo$38b2o$39bo2bobo$37bo5bo
4bo$39b2o2bo2bo$40bo2bo2b2o$38bo$41bo3bo3$10bo5bo2bo2bo15bo$36b3o$36bo
7bo$10bo5bo$38b2o3b2obo$38b3ob3o$10bo5bo2bo2bo12bo2b2o3b2o2$36bo7bo$
10bo11bo13b3o4b3o$38bo4bo2bo2$10bo5bo2bo2bo12b2o$35bo3b2o$34b2o3b2o2$
43b3o$37bobo3bobo$34bo8bob2o$36b2o6b2o$35b2obo8bo$36bobo3bobo$36b3o2$
35bo5b2o3b2o$41b2o3bo$45b2o3$47bo$44b2o$45bo$43bo$48bo2$48bo2$48bo4bo$
36bo7b2o5b3o$34bo7bo2bo5bo$34b2o6b2o2$33bo4bo$38bo2bo$38bo2$42b2o$42bo
2bo5bo$44b2o5b3o$48bo4bo2$48bo2$48bo$43bo$45bo$44b2o$47bo4$41bo3bo$35b
o9b3o$47bo2$40bobobo5$36bobobo2$33bo$33b3o$35bo3bo5$34bo$36bo3bo$35b2o
3$37bobobo2$33bo$35b2o$36bo$34bo3bo2bo$37b2o$41bo$45bo$39bo3bo$36b2o$
36bo4bo$38bo5b2o$37b2o2bo2bo$46bo$39bo5$10bo5bo2bo2bo$38bo2bo$43bo$10b
o5bo28bo2$33bo12bo$10bo5bo2bo2bo15bobobo$34bo2$10bo5bo5bo12bo3$10bo5bo
2bo2bo16bo5$39bo3bo$41bo$40b3o$38bo$42b3o$39bobobo2$38bo2$39bo$37bo2$
36bo$40bo$35bo$40bo$46bo$35bo4bo3$43bo$41bo$39bo5$10bo5bo2bo2bo26bo2$
47bo$10bo11bo$42b2o3bo$43bo$10bo11bo18bo5bo$36bo15bo$38bo4b2o5bo$10bo
11bo14b2o2bo2bo5b2o$41b2o2$10bo11bo14bo$36b2o3b2o$37bo$33bo$41b2o$41bo
2bo5b2o$43b2o5bo$52bo$41bo5bo$43bo$42b2o3bo2$47bo2$49bo3$47bo2$45bo$
40b2o$41bo$39bo4b3o2$37bo2bo9bo$35bo6bo5bo$35b2o4b2o5b2o$33bo9bo$38bo
3bo$37b2o3b2obo$38bo3bob3o$33bo11bo$35b2o$35bo$37bo3b2o5b2o$42bo5bo$
40bo9bo2$39bo4b3o$41bo$40b2o$45bo2$47bo3$10bo5bo2bo2bo23bo3bo2$48bo$
10bo5bo5bo$48bo$43bo$10bo5bo2bo2bo22bo2bo2b2o$44b2o5bo$48bo4bo$10bo5bo
5bo15bo5b2o5b3o$40bobo2bo5bo$39b2ob2o$10bo5bo2bo2bo10bo$38bo$37b3o$38b
o$33bo$39b2ob2o$40bobo2bo5bo$38bo5b2o5b3o$46bo3bo2bo$44b2o5bo$45bob3ob
2o$43bo3bobo$47b3o4$46bo3bo6$43b2o3b2o$43bo2bo2bo$31b2o3bo5b2o5b2o$31b
o2bo11bo$30b2ob3o9bobo2$35bo10bo$32b3o6b2o$33b2o6bo$41b3o2bo2$37bo$35b
obo3bo$35b3ob3o2bo$39bo2b3ob3o$42bo3bobo$46bo2$37bo2b3o$42bo6b2o$41b2o
6b3o$31bo5bo10bo2$36bobo9b3ob2o$37bo11bo2bo$33b2o5b2o5bo3b2o$34bo2bo2b
o$34b2o3b2o12$10bo5bo2bo2bo18bo$38bo2$10bo5bo5bo16bo2$39bo$10bo5bo2bo
2bo$35bo3bo2$10bo11bo2$35bo3bo$10bo11bo$39bo2$39bo2$38bo$41bo4$39b2o$
39bo2bo$41b2o3$34bobobo2$33bo2$40bo3$42bo$40bo$40b2o$33bo3$38bobobo3$
36b2o5b2o$37bo5bo$35bo4bo4bo3$4bo2bo2bo5bo2bo2bo22bo3bo3$10bo5bo5bo$
43b2o2bo2b2o$36bo3bo3bo2bo2bo$4bo2bo2bo5bo5bo19bo4bo4bo$42b2o2bobo$43b
o$4bo11bo5bo11b2o5bo$35bobobob2o$33bo$4bo2bo2bo5bo2bo2bo$38bo$34bo$36b
o$35b2o5b2o$43bo2bobo$41bo5bo4bo$43b2o2bo2bo$44bo2bo2b2o$42bo3$45bo3bo
3$42bo3bo4$33bo3$38bobobo3bobobo3$36b2o13b2o$37bo13bo$35bo17bo2$42bo3b
o3$10bo2bo2bo5bo19b2o3b2o$42bo5bo$38bo2b2o5b2o$16bo5bo13bo7b3o$38b3o4b
o2$10bo2bo2bo5bo2$38b3o$10bo11bo10bo5bo3$10bo2bo2bo5bo$33bo5bo$38b3o4$
38b3o4bo$36bo7b3o$38bo2b2o5b2o$42bo5bo$42b2o3b2o4$42b2o3b2o$42bo2bo2bo
$41b2ob3ob2o4$38bo6bo$40bo$39b2o5$35bo17bo$33b3o17b3o$33bo21bo$36bo15b
o$36b2o13b2o$36bo15bo$33bo21bo$33b3o17b3o$35bo17bo$37bo3bo5bo3bo$37bo
3b2o3b2o3bo$35bobo3bo5bo3bobo2$36bo15bo3$42bo3bo5$4bo2bo2bo5bo2bo2bo3$
10bo11bo17b2o$40bo$39b2o2bo$4bo2bo2bo5bo2bo2bo$43bo2$4bo11bo$43bo2$4bo
2bo2bo5bo2bo2bo$43bo2$39bo2$43bo3$43bo3$43bo2$39b2o2bo$40bo$40b2o8$45b
2o$43bo2bo$43b2ob2o$45bo$39bo2bo5bo2bo$41bo3bo3bo$40b2o2b3o2b2o$44b3o
10$37bobo2bo2bo3bo2bo2bobo2$35bo23bo$35b3o19b3o$37bo9bo9bo27$4bo2bo2bo
5bo2bo2bo$56b2o$44b2o10bo2bo$10bo11bo21bo2bo7b2ob2o$43b2ob2o12bo$48bo
9bob3o$4bo2bo2bo5bo2bo2bo25b3o5b2o4bo$44b2o4bo6bo4b3o$45bo4b3o4b3o4bo$
4bo17bo22b3obo2bo6bo$47bo$56bo5bo$4bo2bo2bo5bo2bo2bo27bo7bo7b2o$45b2o
7bob3o7bo$46bo3bo3b3o11bo$31bo12bo16b3o$29b3o2bo7bo7bo4bo2b2obobob2o$
29bo2bob3o3bo5b2o5b3o3bob3obo$31bobo2bo3b2o2bo2bo5bo3bo9bo$30b2o4b2o6b
2o$32b2obo$33bo8bo4bo2bo4b2o3b2o$33b3o3bo2bo3bo9bo2bob2o$35bo6bo4bo2bo
4b2o3b2o$35b2o$44b2o$40b2o2bo2bo5bo$40bo5b2o5b3o$42bo7bo4bo$44bo$46bo
3bo3bo$45b2o7b3o$50bo5bo2$47bo$45b3obo2bo$45bo4b3o$44b2o4bo$48b3o$48bo
$43b2ob2o$44bo2bo$44b2o5$44b2o11b2o$44bo2bo9bo2bo$43b2ob2o8b2ob2o$48bo
12bo$46bob3o10b3o$44b2o4bo6b2obo2bo$45bo4b3o5bo4b3o$45b3o4bo5b3obo2bo$
47bo12bo2bo2$50bo5b2o5bo$45b2o7bobo2bo7b2o$46bo3bo3b3ob2obo3bobo$31bo
12bo24bo$29b3o2bo7bo7bo4bo2bo4bo$29bo2bob3o3bo5b2o5b3o2b3o5b2o$31bo4bo
3b2o2bo2bo5bo6bo2bo2bo$30b2o4b2o6b2o22bo$32b2o$33bo6bo9bo4b2o$33b3o4bo
2bo4b4o4bo$35bo4bo9bo4b2o$35b2o$44b2o$40b2o2bo2bo5bo$40bo5b2o5b3o$42bo
7bo4bo$44bo$46bo3bo3bo$45b2o7b3o$50bo5bo2$47bo$45b3o4bo$45bo4b3o$44b2o
4bo$46bob3o$48bo$43b2ob2o$44bo2bo$44b2o5$4bo2bo2bo5bo5bo3$10bo5bo5bo$
45bo$37bo$4bo2bo2bo5bo2bo2bo12b3o$35bo12b2o$39bo2bo5bo$4bo17bo13bobo8b
o2bo$39bo2bo5b3o$35bo12bo$4bo2bo2bo11bo12b3o6bo$37bo4bobo$42b3o2$39bo$
42bo$42b2o$42bo2bo$39bo$44bo4$40b2o$38bo2bo$38b2ob2o$40bo2$35bo3$39bob
o3$39bobo$40bo$36b2o5b2o$37bo2bo2bo$37b2o3b2o28$4bo2bo2bo5bo2bo2bo$43b
o6bo$45bo2bo$10bo5bo31b2o$45bo2$4bo2bo2bo5bo2bo2bo22bo$41bo2$4bo17bo$
41bo2$4bo2bo2bo5bo2bo2bo19bo$44b2o$45bo$43bo4$45b2o$43bo2bo$43b2ob2o$
45bo$39bo2$40bo2$38b2o$38bo$37b2o3$37bobobo6b2o$48bo$36bo13bo$47bo$42b
o2bo8$4bo2bo2bo5bo2bo2bo2$44b2ob2o$10bo5bo28bobo$43bo5bo$45b3o$4bo2bo
2bo5bo2bo2bo23bo$43b2o3b2o$43bo5bo$4bo11bo5bo19b2o2bo2b2o2$46bo$4bo2bo
2bo5bo2bo2bo$41bo4bo3$45bo2$42b2o$42bo2b2o$44b2o$47bo5$46bo$44b2ob2o$
40bo$38b3o9bo$38bo2bo8b2o4bo$40b2ob2o$39bobo2bo2bo2bo2bo$40b2ob2o$38bo
2bo8b2o4bo$38b3o9bo$40bo$44b2ob2o$46bo$48bo$42bo4b3o$37bo2b3o4bobo$35b
o4bo7bo$35b2obo4b2o9b2o$38b2o3b3o6bo2bo$35b2obo4b2o7b2o$35bo4bo7bobo2b
o$37bo2b3o6bobo$42bo6bob2o$46bo3bo10$4bo2bo2bo5bo2bo2bo13bo$32bo9bo$
34bo5bo5b2o$10bo11bo10b2o5b2o4bo$45b2o$49bo$4bo2bo2bo11bo25b3o$44b2o3b
o$45bo$4bo17bo13b3o6b2o3$4bo2bo2bo11bo11b5o2bo$34bo3bo2bo$33b2obobo2bo
$34bo3bo$34b5o$45b2o$45bo$36b3o5b2o3bo$48b3o$49bo$45b2o$46bo$46b2o$33b
2o5b2o$34bo5bo$32bo9bo$36bo3$44b2o3b2o$44bo2bo2bo$43b2ob3ob2o4$34bo12b
o$36b2o$35b2o$36bo10bo$37bo$32bo14bo$37bo10bo$48b2o$47b2o$37bo12bo4$
33b2ob3ob2o$34bo2bo2bo$34b2o3b2o6$4bo2bo2bo5bo2bo2bo$54bo2$10bo5bo5bo
21b2o9bo$38bo6bo2bobobo$40bo4b2o$4bo2bo2bo5bo2bo2bo16b2o2$37bo7b2o$4bo
11bo5bo21bob2o$45b2o2$4bo2bo2bo5bo2bo2bo16b2o$40bo4b2o$38bo6bo2bobobo$
44b2o9bo2$54bo3$47bo3bo2$45bo3bo3bo$49bo$44bo4bo4bo$46bo5bo$45b2o5b2o
2$48bobo2$42bo4$42bo2$48bobo2$45b2o5b2o$46bo5bo$44bo4bo4bo$49bo$45bo3b
o3bo2$47bo3bo4$46bo5bo$48bobo$47b2ob2o$44bo4bo4bo$44b3o2bo2b3o$46bo5bo
$42b2o3bobobo$40bo2bo$40b2o$38bo$40b2o3b3o$39bobo5bo$40b2o4b2o$38bo$
40b2o$41bo$39bo10bo$41b2o2bo2bo$42bob3ob2o$40bo4bo$43bo3bo6$4bo2bo2bo
5bo2bo2bo$53b2o$51bo2bo$10bo5bo5bo28b2ob2o$53bo2$4bo2bo2bo5bo2bo2bo29b
o$50b5o$50bobobo$4bo17bo26b2o3b2o5bo$42bo5bo7bo$40b3o3b3o7b3o$4bo2bo2b
o11bo17bo2bo2bo11bo$42bo2b3o9b3o$41b2o3bo11bo$46b3o7b3o4bo$48bo7bo5b3o
$49b2o3b2o6bo2bo$50bobobo17b2o$50b5o17bo2bo$52bo18b2ob2o2$51bo$49b2ob
2o$50bo2bo$50b2o3bo17bobo$54b2o$84bo$43b2o39b3o$43bo2bo4bo4b2o11bo9bo
6bo$42b2ob2o2b3o3b2obo3b3o19bo$49bo6b2o4bobo4bo9bo4b2o$51bo12bo$50b2o
2$44bobo26bobo2$68b2o$55bo12bo$34b2o4bo9bo4bobo4b2o6bo$35bo19b3o3bob2o
3b3o2b2ob2o$33bo6bo9bo11b2o4bo4bo2bo$33b3o39b2o$35bo$54bo9bo$44bobo15b
o3bo5$44b2ob2o$44bo2bo$46b2o6$56b2o$54bo2bo$54b2ob2o5$54bobo2$45bo$43b
3o$43bo6bo9bo4b2o$45bo19bo$44b2o4bo9bo6bo$65b3o$65bo$45b2o$45bo2bo5bob
o$44b2ob2o2$40bo2$41bo3bo7b3o$44b3o8bo$40bo3bobo7b2o$45bo3$55bo$45b2o
7bobo3bo$45bo8b3o$45b3o7bo3bo$41bo$60bo2$52b2ob2o$44bobo5bo2bo$54b2o$
35bo$33b3o$33bo6bo9bo4b2o$35bo19bo$34b2o4bo9bo6bo$55b3o$55bo2$44bobo5$
42b2ob2o$43bo2bo$43b2o8$4bo2bo2bo5bo2bo2bo24bo$40b2o4bo$41bobo6b2o$10b
o5bo5bo16bo3b2o4b3o$39b3obo6b2o$35bo5bo4bo6bo$4bo2bo2bo5bo5bo14bobo7bo
$36b2o$46b2o$10bo5bo5bo13b2o8bo$36bo9b2o$38bo$4bo2bo2bo5bo2bo2bo24bo$
41bo4bo6bo$39b3obo6b2o$39bo3b2o4b3o$41bobo6b2o$40b2o4bo$47bo3$41b2o3b
2o$41bo2bo2bo$40b2ob3ob2o4$37bo6bo3$44bo2$35bo8bo$40bo4bo$45b2o$44b2o$
40bo6bo4$36b2ob3ob2o$37bo2bo2bo$37b2o3b2o3$10bo2bo2bo5bo29bo8bo$54bo4b
o$53b2o4b2o$16bo5bo27bo6bo6bo$48b5o2b5o2b5o$48bo3bo2bo3bo2bo3bo$10bo2b
o2bo5bo24b2obobob2obob2obobob2o$48bo3bo2bo3bo2bo3bo$48b5o2b5o2b5o$16bo
5bo27bo6bo6bo$53b2o5b2o$51bo2bo5bo2bo$10bo2bo2bo5bo28b2o9b2o$57bo$52b
2o$53bo7b2o$53b2o2b2o2bo$57b2ob2o$33bo25bo$35bo11bo$34b2o9b5o9b2o$45bo
3bo10bo$32bo2b2o7b2obob2o8b2o$36bo8bo3bo$35b2o8b5o9bo$47bo9b2ob2o$34b
2o17b2o2b2o2bo$35bo17bo7b2o$33bo18b2o$57bo$51b2o9b2o$51bo2bo5bo2bo$53b
2o5b2o$50bo6bo6bo$48b5o2b5o2b5o$48bo3bo2bo3bo2bo3bo$47b2obobob2obob2ob
obob2o$48bo3bo2bo3bo2bo3bo$48b5o2b5o2b5o$50bo6bo6bo$53b2o4b2o$54bo4bo$
52bo8bo6$51b2o$49bo2bo$49b2ob2o$51bo$45bo2$46bo2$45bo3$35bo29bo$33b5o
25b5o$33bo3bo25bo3bo$32b2obob2o23b2obob2o$33bo3bo2b2o17b2o2bo3bo$33b5o
3bo2bo11bo2bo3b5o$29bo9bo4b3o7b3o4bo9bo$31bo3bo3b2o5bo2b3o2bo5b2o3bo3b
o$30b2ob5o9bobobobo9b5ob2o$33bo3bo7b2o7b2o7bo3bo$32b2obob2o3bo2b2o7b2o
2bo3b2obob2o$33bo3bo25bo3bo$33b5o25b5o$30b2o3bo3b2o4bo9bo4b2o3bo3b2o$
31bo7bo3b3o9b3o3bo7bo$29bo3b5o3bobo13bobo3b5o3bo$33bo3bo2b2o17b2o2bo3b
o$32b2obob2o12bo10b2obob2o$33bo3bo11b5o9bo3bo$33b5o11bo3bo9b5o$35bo12b
2obob2o10bo$49bo3bo$49b5o$51bo8$51b3o$48b2obobob2o$49bo5bo$47bo9bo$51b
o3$4bo2bo2bo5bo2bo2bo19b2o$43bo$41bo9b2o$10bo11bo29bo$40bo11b2o$44bobo
bo$4bo2bo2bo5bo2bo2bo$34bo$36bo$10bo5bo18b2o11bo2$33bo4b2o$4bo2bo2bo5b
o2bo2bo16bo$38b2o2$35b2o11bo$36bo$34bo2$44bobobo$40bo11b2o$52bo$41bo9b
2o$43bo$42b2o7$38bo13bo$34bo11bo9bo$36bo5bo5bo5bo$35b2o5b3o2b2o5b2o$
44bo2$39bo$38b3o$39bo$39bo10bobo$45bo4b3o2$45bo6$44bo$35b2o5b3o2b2o5b
2o$36bo5bo5bo5bo$34bo11bo9bo$38bo11bo5$42bo3bo$44bo$43b3o$41bo$43bo2b
2o$42b2o2b2o$43bobo$41bo5bo$46b3o$46bobo$47bo$39bo15b2o$37b3o15bo$37bo
19bo2$40bo13bo$39b3o2bo5bo2b3o4$39b3o11b3o$35b2o3bo13bo3b2o$35bo23bo$
37bo9bo9bo$39bo6b3o6bo$46bobo$47bo2$43b2o5b2o$44bo5bo$42bo9bo$46bo12$
4bo2bo2bo5bo2bo2bo20b2o$41bo2bo$41b2ob2o$10bo11bo$40b2o$40bo$4bo2bo2bo
5bo2bo2bo16b2o$44bo$31b2o5bo4b3o$10bo11bo9bo3b3o4bobo$30bo5bo7bo$30b3o
2b2obobobo$4bo2bo2bo5bo2bo2bo9bo3bo$36b3o$38bo4$42bobo5$40b2ob2o$40bo
2bo$42b2o4$42b2o$42bo2bo$41b2ob2o3$42bo$40b5o$40bo3bo$39b2obob2o$47bo$
29b2o11bo4b3o$30bo18bob2o$28bo6bo6bo8bo$28b3o13b2o7bo$30bo4bo7bob2o4b
3o$44b2o5bo4$37bo2$38bo2$37bo$43bo$41b2ob2o$41bo2bo$43b2o10$4bo2bo2bo
5bo5bo19bo$44bo$43b2o$10bo5bo5bo3$4bo2bo2bo5bo2bo2bo$42bobo2$10bo11bo
2$38bo$4bo2bo2bo11bo7bo5b5o$32bo3bo3bo$31b2o2b2obobo3bo$36bo3bo2bobo$
36b5o2b3o$38bo5bo7$42b3o$42bobo$42b3o5$43b2o$44bo$42bo5$44bo2$41b3o$
41bobo$37b2obobobo$38bo2bobo$36bo4b3o$31bo15bo$33bo4b2o5bo$32b2o2bo2bo
5b2o$36b2o2$33bo9b2o6b2o$30bo2bo10bo5bob2o$33bo9b2o6b2o$28bo$36b2o13bo
$36bo2bo5b2o3bobo$38b2o5bo4bobo3bo$47b2o5bo$36bo4b3o4bo5b2o$38bo2bobo
2bo3bobo$37b2obobobo4bobobo$41bobo6bobo2b2o$41b3o6b3o2bo$57bo$44bo2$
49bo8$42bo$40b5o4bo$34bo5bo4bobo$34b3o2b2obo2bob2o$36bo3bo4bo$40b5o$
42bo$44bo$43b3o$43bobo$44bo2$46b2o$31b2o4b3o5b2obo7bo4b2o$32bo4bobo6b
2o13bo$30bo6b3o16bo6bo2$44bo$42b5o$42bo3bo$41b2obob2o2$44bo2$42bo$43b
2o$44bo$42bo9$4bo2bo2bo5bo2bo2bo34bo2$47b2o2bo3bo2bo$10bo5bo31bo2bo3b
2o$37bo10b2obo3bo$35b5o10bo$4bo2bo2bo5bo2bo2bo6bo5bo3bo$31bo2b2obob2o
9b2o$30b2o3bo3bo11bo$10bo11bo12b5o10b2o$37bo$50bo$4bo2bo2bo5bo2bo2bo
25b2obo3bo$48bo2bo3b2o$47b2o2bo3bo2bo2$57bo8$40b2o$38bo2bo$38b2ob2o$
40bo$34bo2$35bo2$34bo4$33bo11bo$31bo15bo$34bo9bo$33b3o7b3o4$33b3o2b3o
2b3o$36bobobobo$35bo7bo$33b3o7b3o$33bo11bo7$38bo$36b5o$36bo3bo$35b2obo
b2o$36bo3bo$36b5o$38bo3$38b2o$39bo$37bo8$4bo2bo2bo5bo2bo2bo3$10bo5bo
24b2o$39bo2bo$39b2ob2o$4bo2bo2bo5bo2bo2bo10bo7bo2$37bobo$10bo5bo5bo$
33bo7bo$39b2ob2o$4bo2bo2bo5bo2bo2bo16bo2bo$41b2o5$36bo3bo4$38bo$37b3o$
34b2o2bo2b2o$35bo5bo$33bo9bo$33b3o5b3o$35bo5bo$38bo$37bobo$37b3o$32bo
5bo$34bobo$33b2o2b2o$34bo2b2o$32bo4bo$32b3o$34bo5$45bo$47bo$46b2o5bo$
51bo$51b2o$36b3o$30bo4b2ob2o6b2obo$32bo2bo3bo7bo$31b2o2b2ob2o6b2o$36b
3o2$47b2o$47bo$49bo8$4bo2bo2bo5bo2bo2bo$48bo$46b3o2bo$10bo11bo23bo4b3o
$48bo4bo$47b2o$4bo2bo2bo11bo2$30bo$10bo11bo9bo$31b2o2$4bo2bo2bo11bo14b
2o6bo$37bo13bo$29bo7b2o6bo$51bo$31b2o18b3o$32bo17bo3bo$30bo19bo3bo$49b
2obob2o$50bo3bo$50b5o$52bo3$52b2o$53bo$51bo4$43b2o$41bo2bo$41b2ob2o2$
37bo2$38bo2$37bo3$36bo14b2o$34b5o13bo$29b2o3bo4b2obo9b2o$30bo2b2obo2bo
$28bo5bo4bo$34b5o11b2ob2o$36bo13bo2bo$52b2o$41bobo7$41bobo$41b3o5$38b
2o5b2o$39bo5bo$37bo9bo$41bo4$4bo2bo2bo5bo2bo2bo2$38b2o$10bo5bo5bo15bo
2bo$37b2ob2o$38bo$4bo2bo2bo5bo2bo2bo11b2o$34b3o4b2o$34b2o2bo3bo$10bo5b
o5bo9bo5bo2b2o2$39bo$4bo2bo2bo5bo2bo2bo18b2o7b2o$42bo7bo$40bo8bo2bo$
40b3o7b3o$42bo3bo3bo2$46bo2$46bo$44bo3bo5$46bo3bo$48bo2$48bo2$44bo3bo
3bo$42b3o7b3o$37b2o3bo8bo2bo$37bo2bo3bo7bo$39b2o2b2o7b2o2$32bo3b2o$35b
3o5b2o$36b2o6bo$31bo11b2o2$38bo7$35bo4bo4bo$37bo5bo$36b2o5b2o$35bo9bo$
40bo$38bo6b3o$37bo2bo6bo$46b2o$33bo$40b2o$41bo2b2o7b2o$39bo5bo7bo$43bo
2bo8bo$43b3o7b3o$45bo7bo$49bo$48b3o3$47bo3bo!

I guess up to something like p100 we would have to compile the list manually.

It also contains this new p28 G gun:
x = 17, y = 25, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6bo3bo2$4bo3bo3bo$8bo$3bo4bo4bo$5bo5bo$4b2o5b2o2$7bobo2$bo4$bo2$7bobo
2$4b2o5b2o$5bo5bo$3bo4bo4bo$8bo$4bo3bo3bo2$6bo3bo!
which is based on
https://catagolue.appspot.com/object/xp ... 4iz5ar6i7e (In general D4+1 seems to be very interesting, many oscillators, so far every period up to p46 is covered)
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 7th, 2018, 7:11 am

A 53cell quadratic growth: back-rake based breeder
x = 29, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18b3o$14bobobobo$20bo$7bo2bo5bo2$10bo2$12bo$4bo$13bo$bo2bo8b3o$14bo3$
12bo$7bobo2bobo$7b3o2b3o2$17bo6bobo2$15bobo8bobo2$17bobo3$24bo$18bo2bo
bo$18b3o2b3o$19bo4bo!

The actual record quadratic growth has 55 cell, this one is slightly better.

Edit1: 51 cells:
x = 28, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
17bobo$13bobo$17bo$6bo2bo5bo2bo2$9bo2$11bo$3bo$12bo$o2bo8b3o$13bo3$11b
o$6bobo2bobo$6b3o2b3o2$16bo6bobo2$14bobo8bobo2$16bobo3$23bo$17bo2bobo$
17b3o2b3o$18bo4bo!

Edit2: 43 cells, using two different back-rakes:
x = 31, y = 30, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$17bobo$13bobo$17bo$6bo2bo5bo2bo2$9bo2$11bo3$2bo4bo4bo$3o2bobo6bo$bo
3b3o2bobo9$19bo8bo$19bo5bo2bobo$18b3o2b3o2b3o$19bo4bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 8th, 2018, 3:10 pm

A new p23 R gun (with corresponding G-gun):
x = 46, y = 89, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$7bo$7b3o$9bo2$12b3o$7bo11bo$10bo5bo$9b2o5b2o$10bo5bo$7bo11bo$12b3o2$
8b2o$9bo$7bo4$7bo$9bo$8b2o2bo2$12b3o$7bo4bobo4bo$11bo3bo$9bo7bo$11bo3b
o$7bo4bobo4bo$12b3o2$9bo2bo$7b3o$7bo16$3b2o3bo3bo4bo3bo4bo3bo3b2o$4bo
10bo7bo10bo$4b2o9b2o5b2o9b2o$27bobo$9bobo15b3o$10bo12b2o7b2o$3bobo2bob
obo2bobo4b3obo3bob3o$10bo12b2o7b2o$9bobo15b3o$27bobo3$8bo3bo13bo3bo3$
12bo3bo4bo2bo$21b3o$22bo$14bo$6b2o5b3o5b2o$6b2o5b3o5b2o$13bobo$9bo3b3o
3bo$13b3o$14bo$8b2o9b2o$8bo10bo$7b2o3bo3bo4bo!


Edit1:
And a p53 G-gun:
x = 28, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
14bo2$12bo3bo$bo25bo$3bo21bo$2b2o10bo10b2o3$13b3o$6bo15bo$13b3o$o2$2b
2o10bo10b2o$3bo21bo$bo25bo$12bo3bo2$14bo!

based on https://catagolue.appspot.com/census/b2 ... 4_+1/xp212 .

and a p62 G-gun:
x = 27, y = 37, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8$15bo$17bo$16b2o2$17bo$9bo$11bo3bo$10b2o3$9bo3b3o2$12bo6bo2$9bo3b3o3$
10b2o$11bo3bo$9bo$17bo2$16b2o$17bo$15bo!

(https://catagolue.appspot.com/object/yl ... 4iz5ar6i7e)

p40 R-gun:
x = 9, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4b2o$2bo2bo$2b2ob2o3$o$4bo2$4bo4$3bobo2$2ob3ob2o$bo2bo2bo$b2o3b2o!
(https://catagolue.appspot.com/object/yl ... 4iz5ar6i7e)

a p24 G-gun:
x = 19, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
16bo$12bo3b3o$2o16bo$bo4bobobo5bo$b2o9bo3b2o$16bo$18bo$16b3o$16bo$8bo!
based on this quadruple G-gun:
x = 25, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
12bo$2o21b2o$bo4bobobo3bobobo4bo$b2o9bo9b2o3$12bo!

(https://catagolue.appspot.com/object/yl ... 4iz5ar6i7e)
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby AbhpzTa » May 11th, 2018, 4:41 pm

T-signal to (T-signal + snowflake-signal), recovery time 34:
x = 82, y = 63, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b3o$5bobo$4bo5bo3$9bo2$13bo$10bo5bo3$15bo2$19bo$16bo5bo3$21bo2$25bo$
22bo5bo3$27bo2$31bo$28bo5bo2$38bo$33bo2bo$36b2o3bo15bo15bo$29bo9b5o11b
5o11b5o$26bo5bo6bo3bo5bo5bo3bo5bo5bo3bo$35bo2b2obob2o2b5o2b2obob2o2b5o
2b2obob2o2b2o$39bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$27bo11b5o2b2obob2o2b
5o2b2obob2o2b5o5bo$41bo5bo3bo5bo5bo3bo5bo$23bo11bo11b5o11b5o$20bo5bo5b
o16bo15bo3$21bo2$17bo$14bo5bo3$15bo2$11bo$8bo5bo3$9bo2$5bo$2bo5bo3$3bo
2$o$2bo!

Snowflake-signal to (snowflake-signal + R), recovery time 155:
x = 160, y = 63, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
40bo$38bo$38b2o7bo$45b5o$45bo3bo5bo95bo$40bo3b2obob2o2b5o91b5o5bo$38b
5o2bo3bo3bo3bo5bo79bo5bo3bo3bo$38bo3bo2b5o2b2obob2o2b5o75b5o2b2obob2o
2b2o$33b2o2b2obob2o3bo5bo3bo3bo3bo5bo63bo5bo3bo3bo3bo$34bo3bo3bo10b5o
2b2obob2o2b5o59b5o2b2obob2o2b5o$32bo5b5o12bo5bo3bo3bo3bo5bo47bo5bo3bo
3bo3bo5bo$40bo20b5o2b2obob2o2b5o43b5o2b2obob2o2b5o$63bo5bo3bo3bo3bo5bo
31bo5bo3bo3bo3bo5bo$38bo30b5o2b2obob2o2b5o27b5o2b2obob2o2b5o$36b5o30bo
5bo3bo3bo3bo5bo15bo5bo3bo3bo3bo5bo$36bo3bo36b5o2b2obob2o2b5o11b5o2b2ob
ob2o2b5o$35b2obob2o37bo5bo3bo3bo3bo5bo5bo3bo3bo3bo5bo$36bo3bo44b5o2b2o
bob2o2b5o2b2obob2o2b5o$36b5o46bo5bo3bo3bo3bo3bo3bo5bo$38bo54b5o2b2obob
2o2b5o$95bo5bo3bo5bo$36bo64b5o$34b5o59b2o3bo5bo$34bo3bo57b3o2bo$33b2ob
ob2o56bo3b2o$34bo3bo55bo9bo3bo$34b5o57b2o$36bo60bo$95bo$34bo64bo$32b5o
$32bo3bo41bo21bo$31b2obob2o42bo$32bo3bo42b2o$3bo14bo13b5o63bo$b5o10b5o
13bo43bo19b5o$bo3bo4bo5bo3bo5bo49b5o17bo3bo$2obob2ob5o2b2obob2o2b5o14b
o8bo8bo8bo5bo3bo16b2obob2o$bo3bo2bo3bo3bo3bo3bo3bo5bo6b5o4b5o4b5o4b5o
2b2obob2o4bo11bo3bo$b5ob2obob2o2b5o2b2obob2o2b5o4bo3bo4bo3bo4bo3bo4bo
3bo3bo3bo3b5o9b5o$3bo4bo3bo5bo5bo3bo3bo3bo3b2obob2o2b2obob2o2b2obob2o
2b2obob2o2b5o3bo3bo5bo5bo$8b5o11b5o2b2obob2o3bo3bo4bo3bo4bo3bo4bo3bo5b
o4b2obob2o2b5o$10bo15bo5bo3bo4b5o4b5o4b5o4b5o11bo3bo3bo3bo5bo$32b5o6bo
8bo8bo8bo5bo7b5o2b2obob2o2b5o3b2o$34bo39b5o7bo5bo3bo3bo3bo3bo$74bo3bo
13b5o2b2obob2o4bo$35b2o36b2obob2o14bo5bo3bo$35bo38bo3bo21b5o$37bo36b5o
23bo$76bo$103bo$78bo22b5o$70bo5b5o5bo8bo5bo3bo$72bo3bo3bo3b5o4b5o2b2ob
ob2o4bo$71b2o2b2obob2o2bo3bo4bo3bo3bo3bo3bo$76bo3bo2b2obob2o2b2obob2o
2b5o3b2o$76b5o3bo3bo4bo3bo5bo$78bo5b5o4b5o$86bo8bo$102b2o$76b2o25bo$
76bo24bo$78bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby Saka » May 11th, 2018, 9:54 pm

Which makes these guns possible
x = 206, y = 133, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
126bo$124bo$124b2o7bo$131b5o$131bo3bo5bo$126bo3b2obob2o2b5o$124b5o2bo
3bo3bo3bo5bo$124bo3bo2b5o2b2obob2o2b5o$119b2o2b2obob2o3bo5bo3bo3bo3bo
5bo$120bo3bo3bo10b5o2b2obob2o2b5o$118bo5b5o12bo5bo3bo3bo3bo5bo$126bo
20b5o2b2obob2o2b5o$149bo5bo3bo3bo3bo5bo$124bo30b5o2b2obob2o2b5o$122b5o
30bo5bo3bo3bo3bo5bo15bo$122bo3bo36b5o2b2obob2o2b5o11b5o5bo$121b2obob2o
37bo5bo3bo3bo3bo5bo5bo3bo3bo$122bo3bo44b5o2b2obob2o2b5o2b2obob2o2b2o$
122b5o46bo5bo3bo3bo3bo3bo3bo$124bo54b5o2b2obob2o2b5o$181bo5bo3bo5bo$
122bo64b5o$120b5o59b2o3bo5bo$120bo3bo57b3o2bo$119b2obob2o56bo3b2o$120b
o3bo55bo9bo3bo$120b5o57b2o$122bo60bo$181bo$120bo64bo$118b5o$118bo3bo
41bo21bo$85b2o30b2obob2o42bo$86bo31bo3bo42b2o$86b2o16bo13b5o63bo$102b
5o13bo43bo19b5o$96bo5bo3bo5bo49b5o17bo3bo$5b2o32bo15bo15bo15bo6b5o2b2o
bob2o2b5o14bo8bo8bo8bo5bo3bo16b2obob2o$6bo30b5o11b5o11b5o11b5o4bo3bo3b
o3bo3bo3bo5bo6b5o4b5o4b5o4b5o2b2obob2o4bo11bo3bo$6b2o16bo6bo5bo3bo5bo
5bo3bo5bo5bo3bo5bo5bo3bo3b2obob2o2b5o2b2obob2o2b5o4bo3bo4bo3bo4bo3bo4b
o3bo3bo3bo3b5o9b5o$29b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob
2o3bo3bo5bo5bo3bo3bo3bo3b2obob2o2b2obob2o2b2obob2o2b2obob2o2b5o3bo3bo
5bo5bo$15bo8bo4bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo4b5o11b
5o2b2obob2o3bo3bo4bo3bo4bo3bo4bo3bo5bo4b2obob2o2b5o$8bo19b2obob2o2b5o
2b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o6bo15bo5bo3bo4b5o4b5o4b5o4b5o
11bo3bo3bo3bo5bo$6b5o4bo13bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo5bo30b5o6bo
8bo8bo8bo5bo7b5o2b2obob2o2b5o3b2o$6bo3bo18b5o11b5o11b5o11b5o8bo29bo39b
5o7bo5bo3bo3bo3bo3bo$2bo2b2obob2o19bo15bo15bo15bo8b5o67bo3bo13b5o2b2ob
ob2o4bo$3o3bo3bo77bo3bo28b2o36b2obob2o14bo5bo3bo$o5b5o76b2obob2o27bo
38bo3bo21b5o$8bo79bo3bo30bo36b5o23bo$88b5o69bo$10bo79bo98bo$8b5o151bo
22b5o$8bo3bo79bo63bo5b5o5bo8bo5bo3bo$7b2obob2o76b5o63bo3bo3bo3b5o4b5o
2b2obob2o4bo$8bo3bo77bo3bo62b2o2b2obob2o2bo3bo4bo3bo3bo3bo3bo$8b5o76b
2obob2o66bo3bo2b2obob2o2b2obob2o2b5o3b2o$10bo79bo3bo67b5o3bo3bo4bo3bo
5bo$90b5o69bo5b5o4b5o$8bo83bo79bo8bo$6b5o177b2o$6bo3bo79bo71b2o25bo$5b
2obob2o76b5o69bo24bo$6bo3bo77bo3bo71bo$6b5o76b2obob2o$8bo79bo3bo$88b5o
$10bo79bo$8b5o$8bo3bo79bo$7b2obob2o76b5o$8bo3bo77bo3bo$8b5o76b2obob2o$
10bo79bo3bo$90b5o$8bo83bo$6b5o$6bo3bo79bo$5b2obob2o76b5o$6bo3bo77bo3bo
$6b5o76b2obob2o$8bo79bo3bo$88b5o$10bo79bo$8b5o$8bo3bo79bo$7b2obob2o76b
5o$8bo3bo77bo3bo$8b5o76b2obob2o$10bo79bo3bo$90b5o$8bo83bo$6b5o$6bo3bo
79bo$5b2obob2o76b5o$6bo3bo77bo3bo$6b5o76b2obob2o$8bo79bo3bo$88b5o$10bo
79bo$8b5o$8bo3bo79bo$7b2obob2o76b5o$8bo3bo77bo3bo$8b5o76b2obob2o$10bo
79bo3bo$90b5o$8bo83bo$6b5o$6bo3bo79bo$5b2obob2o76b5o$6bo3bo77bo3bo$6b
5o76b2obob2o$8bo79bo3bo$88b5o$10bo79bo$8b5o$8bo3bo79bo$7b2obob2o76b5o
5bo$8bo3bo77bo3bo3b3o$8b5o8bo15bo15bo15bo15bo3b2obob2o2bo$10bo8b5o11b
5o11b5o11b5o11b5o2bo3bo$13bo5bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo
2b5o$11b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob
2o3bo$11bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$
10b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o2b2obob2o2b5o$7bo
3bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo5bo7b2o$5b3o3b5o11b5o11b5o
11b5o11b5o14bo$5bo7bo15bo15bo15bo15bo16b2o3$13b2o$14bo$14b2o!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 12th, 2018, 5:40 pm

Great stable snowflake-signal to R reaction, maybe we can reduce the repeat time further.

Saka wrote:Which makes these guns possible
RLE

Or such a p69 gun, using the 2-snowplake-signal to R principle, well below the repeat of 155:
x = 56, y = 78, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3bo$2b2o19bo16bo$21b5o12b5o4bo$o7b2o11bo3bo5bo6bo3bo2bo$7bob2o9b2ob
ob2o2b5o3b2obob2ob2o$8b2o11bo3bo3bo3bo4bo3bo$21b5o2b2obob2o3b5o$2b2o
19bo5bo3bo6bo$3bo25b5o$bo24b2o3bo5bo$24b3o2bo$24bo3b2o$22bo10bo2bo$24b
2o$25bo$23bo8b2o$12bo14bo5bo$14bo16b3o$13b2o13bo3$14bo$12b5o$12bo3bo$
11b2obob2o9b3o$12bo3bo10bobo$12b5o10b3o$14bo$47bo7bo$30b2o14b3o4bo$30b
o14b5o3b2o$30b2o14b3o$47bo6$28bo$27b3o$27bobo$14bo13bo$13bobo$13b3o$
14bo9b2o5b2o$25bo5bo$23bo9bo$27bo$41bo$40b3o$40bobo$41bo9$8bo$7b3o14b
2o$b2o3b5o14bo$2bo4b3o14b2o$o7bo$41bo$39b5o$39bo3bo$38b2obob2o$39bo3bo
$39b5o$41bo3$41b2o$41bo$43bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby BlinkerSpawn » May 12th, 2018, 9:12 pm

2718281828 wrote:Great stable snowflake-signal to R reaction, maybe we can reduce the repeat time further.

Saka wrote:Which makes these guns possible
RLE

Or such a p69 gun, using the 2-snowplake-signal to R principle, well below the repeat of 155:
rle

Simplification of the periodic-converter part using the other side of the snowflake timing period:
x = 59, y = 76, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
54b2o$54bo2bo$56b2o$30b3o9b2o$29b2ob2o7bob2o11b2o$25b2o2bo3bo8b2o12bo$
26bo2b2ob2o24bo$24bo5b3o$27bo9bo$29bo$28b2o$33bo2bo$24b2o$25bo$23bo8b
2o$12bo14bo5bo$14bo16b3o$13b2o13bo3$14bo$12b5o$12bo3bo$11b2obob2o9b3o$
12bo3bo10bobo$12b5o10b3o$14bo$47bo7bo$30b2o14b3o4bo$30bo14b5o3b2o$30b
2o14b3o$47bo6$28bo$27b3o$27bobo$14bo13bo$13bobo$13b3o$14bo9b2o5b2o$25b
o5bo$23bo9bo$27bo$41bo$40b3o$40bobo$41bo9$8bo$7b3o14b2o$b2o3b5o14bo$2b
o4b3o14b2o$o7bo$41bo$39b5o$39bo3bo$38b2obob2o$39bo3bo$39b5o$41bo3$41b
2o$41bo$43bo!

EDIT: Overclocked to p52 with the 2-cell pusher:
x = 40, y = 32, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$11bo$9b5o10b2o6bo6bo$9bo3bo10bo12bo$4b2o2b2obob2o9b2o6bo4b2o$5bo3bo3b
o$3bo5b5o$6bo4bo4bo$8bo$7b2o$11bo3bo$3b2o$4bo$2bo18b2o$6bo15bo$20b3o$
7bo2$7bo$5b5o$5bo3bo$4b2obob2o$5bo3bo$b2o2b5o2b2o$2bo4bo4bo$o4bo3bo4bo
2$2b2o7b2o$3bo7bo$bo3b2ob2o3bo$5bo2bo$7b2o!

Sadly I don't see any way of slowing down the 2-cell push reaction by replacing the initial cars (my name for the 4-cell still life) with something periodic but maybe someone else can think of something.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby A for awesome » May 12th, 2018, 11:14 pm

BlinkerSpawn wrote:[car] (my name for the 4-cell still life)

I like it... I labeled the same still life as a "half carrier" in my versions of iso-nt apgsearch, and the word "car" is approximately half of the word "carrier"...
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby AbhpzTa » May 13th, 2018, 12:30 pm

Smaller snowflake-signal to R, recovery time 104:
x = 48, y = 42, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
23bo$21bo$21b2o2$31bo$23bo5b5o$21b5o3bo3bo5bo$21bo3bo2b2obob2o2b5o$16b
2o2b2obob2o2bo3bo3bo3bo3b2o$17bo3bo3bo3b5o2b2obob2o2bo$15bo5b5o5bo5bo
3bo5bo$23bo13b5o$34b2o3bo5bo$21bo10b3o2bo$19b5o8bo3b2o$19bo3bo6bo9bo3b
o$18b2obob2o7b2o$19bo3bo9bo$19b5o7bo$21bo13bo$3bo14bo$b5o10b5o6bo8bo$b
o3bo4bo5bo3bo4b5o$2obob2ob5o2b2obob2o3bo3bo5bo$bo3bo2bo3bo3bo3bo3b2obo
b2o2b5o$b5ob2obob2o2b5o4bo3bo3bo3bo$3bo4bo3bo5bo6b5o2b2obob2o$8b5o14bo
5bo3bo5bo$10bo22b5o3bo$17b2o16bo5b2o$17bo$19bo2$35bo2$34bo2$31b2o$31bo
6bo$33bo$35bo$37bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 13th, 2018, 3:37 pm

A slightly smaller p17 gun (new:top, old:bottom) - but not uniformly smaller:
x = 52, y = 61, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$4bo5bo2bo2bo$38bo3bo2$4bo11bo$39b3o$35b2o2bobo2b2o$4bo11bo13bo4bo3b3o
3bo$28bo3bo4bo5bo$28b5o3b2o5b2o$4bo11bo13bo$24bo2b2o$26bo6bo6bo$4bo11b
o9bo6bo4b4o$26bo6bo6bo$24bo2b2o$30bo$28b5o3b2o5b2o$28bo3bo4bo5bo$30bo
4bo3b3o3bo$35b2o2bobo2b2o$39b3o3$38bo3bo9$43bo2$41bo2$36b2o3bo$37bo$
35bo5bo$30bo15bo$32bo4b2o5bo$31b2o2bo2bo5b2o$35b2o2$31bo$30b2o3b2o$31b
o$27bo$35b2o$35bo2bo5b2o$37b2o5bo$46bo$35bo5bo$37bo$36b2o3bo2$41bo2$
43bo!

I makes use of different sparkers.
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 13th, 2018, 5:13 pm

AbhpzTa wrote:Smaller snowflake-signal to R, recovery time 104:
RLE

And a useless but fun p104 gun, utilising this mechanism:
x = 44, y = 47, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3b2o3b2o$3bo5bo$2b2o2bo2b2o3$19bo$bo9bo5bo$3bo5bo7b2o$2b2o5b2o$27bo$
19bo5b5o$17b5o3bo3bo5bo$17bo3bo2b2obob2o2b5o$12b2o2b2obob2o2bo3bo3bo3b
o3b2o$13bo3bo3bo3b5o2b2obob2o2bo$5bobo3bo5b5o5bo5bo3bo5bo$5b3o11bo13b
5o$30b2o3bo5bo$17bo10b3o2bo$2b2o5b2o4b5o8bo3b2o$3bo5bo5bo3bo6bo9bo3bo$
bo9bo2b2obob2o7b2o$15bo3bo9bo$o11bo2b5o7bo$2bo7b3o4bo13bo$b2o7bo3bo$
12b5o6bo8bo$12bo3bo4b5o$2bo8b2obob2o3bo3bo5bo$12bo3bo3b2obob2o2b5o$3bo
8b5o4bo3bo3bo3bo$5b2o7bo6b5o2b2obob2o$6bo16bo5bo3bo5bo$4bo24b5o3bo$13b
2o16bo5b2o$13bo$15bo2$31bo2$30bo2$27b2o$27bo6bo$29bo$31bo$33bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby toroidalet » May 13th, 2018, 6:47 pm

smaller:
x = 39, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo17bo$6bo13b5o$5b2o8bo4bo3bo5bo$3bo9b5ob2obob2o2b5o$13bo3bo2bo3bo3bo
3bo3b2o$2bo9b2obob2ob5o2b2obob2o2bo$13bo3bo4bo5bo3bo5bo$13b5o10b5o$b2o
7bo4bo9b2o3bo5bo$2bo7b3o10b3o2bo$o11bo10bo3b2o$21b2o8bo3bo$bo9bo9bo2bo
$3bo5bo13b2o$2b2o5b2o$26bo2$27bo$11bo$13bo12bo$12b2o5bo4b5o$4bo3bo12bo
2bo3bo$4bo3bo11b2ob2obob2o$3b7o14bo3bo5bo$5b3o16b5o3bo$2b2o5b2o15bo5b
2o$3bo5bo$bo9bo$5bobo$26bo2$2b2o5b2o14bo$3bo2bo2bo$3b2o3b2o12b2o$22bo
6bo$24bo$26bo$28bo!

Other guns with this mechanism:
p67:
x = 40, y = 49, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
bo$3bo$2b2o$24bo$o3b2o16b5o5bo$3b2obo15bo3bo3bo$4b2o15b2obob2o2b2o$22b
o3bo$2b2o18b5o$3bo15b2o3bo5bo$bo15b3o2bo$17bo3b2o$15bo10bo2bo$17b2o$
18bo$16bo8b2o$20bo5bo$24b3o$21bo6$20b3o$8bo11bobo$10bo9b3o$9b2o$32bo$
7bo15b2o5b5o4bo$23bo6bo3bo2bo$23b2o4b2obob2ob2o$30bo3bo$9b2o19b5o$10bo
21bo$8bo3$21b3o$21bobo6$18b2o5b2o$19bo5bo$17bo9bo$21bo!

p70:
x = 34, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$5bo$o24bo$19b2o4b3o5bo$3bo2bo11b2obo5bo3bo$19b2o6b2o2b2o$o26bo$5bo
19b3o$7bo12b2o3bo5bo$18b3o2bo$18bo3b2o$16bo9bo3bo$18b2o$19bo$17bo$21bo
2$22bo2$22bo$20b5o$20bo3bo$19b2obob2o$20bo3bo$20b5o$22bo4$22bo2$21bo$
17b2o$18bo$16bo8bo$20bo$22bo$24bo!

p89:
x = 40, y = 39, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
31bo$b2o4b2o20b5o5bo$2bo4bo21bo3bo3bo$o2bo3b2o19b2obob2o2b2o$3o26bo3bo
$2bobo24b5o$4b3o19b2o3bo5bo$6bo17b3o2bo$24bo3b2o$22bo10bo2bo$24b2o$25b
o$23bo8b2o$27bo5bo$31b3o$28bo4$28bo$26b5o$26bo3bo$16bo8b2obob2o$14bo3b
o7bo3bo5bo$14b2o4bo5b5o3bo$19b2o7bo5b2o2$6bo20b2o8bo$8bo17b2obo$7b2o
18b2o2$9bo9b2o13b2o$11bo2b2o4bo13bo$14bo3bo17bo$16bo7b2o$25bobo2bo$23b
o4b3o$23b3o2bo$25bo!

I realised I never formally announced the new reflector used in the p89 gun (and my p33 gun), so here's the formal announcement:

Version of the p2 reflector that only works for odd periods but aside from that is basically the same:
x = 15, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$4bo$3b2o$2bo$13b2o$b2o10bo$bo11b2o$3bo7$b2o10b2o$2bo10bo$o2bo9b2o$
3o$2bobo$4b3o$6bo!

It can be used to duplicate gliders (but there's pretty much nothing you can do with the duplicated gliders because they're awkwardly close):
x = 22, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
13bo$11b3o$9bobo$7b3o$7bo2bo9b2o$9bo10bo$8b2o10b2o3$2o$bo$2o3$8b2o10b
2o$9bo10bo$7bo2bo9b2o$7b3o$9bobo$11b3o$13bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 14th, 2018, 4:15 pm

This 'replicator' (https://catagolue.appspot.com/hashsoup/ ... 4iz5ar6i7e)
x = 31, y = 31, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
ob3o2b2o6bo6b2o2b3obo$ob3o2bo3b2ob3ob2o3bo2b3obo$ob2o3bo4bo5bo4bo3b2ob
o$bobo4bobo2b5o2bobo4bobo$obo2bo2bob2o2b3o2b2obo2bo2bobo$o2b7o2bo5bo2b
7o2bo$3b6o2b2ob3ob2o2b6o$2bob2o2bo2bo3bo3bo2bo2b2obo$bo2b2o2b2ob4ob4ob
2o2b2o2bo$3ob2o4b3ob3ob3o4b2ob3o$obobo2b2o3bo5bo3b2o2bobobo$2bo2b2obob
o4bo4bobob2o2bo$b4ob3o3b2obob2o3b3ob4o$2ob4o3bo2b5o2bo3b4ob2o$o2bobobo
2b2ob2ob2ob2o2bobobo2bo$5b5o2b2obob2o2b5o$o2bobobo2b2ob2ob2ob2o2bobobo
2bo$2ob4o3bo2b5o2bo3b4ob2o$b4ob3o3b2obob2o3b3ob4o$2bo2b2obobo4bo4bobob
2o2bo$obobo2b2o3bo5bo3b2o2bobobo$3ob2o4b3ob3ob3o4b2ob3o$bo2b2o2b2ob4ob
4ob2o2b2o2bo$2bob2o2bo2bo3bo3bo2bo2b2obo$3b6o2b2ob3ob2o2b6o$o2b7o2bo5b
o2b7o2bo$obo2bo2bob2o2b3o2b2obo2bo2bobo$bobo4bobo2b5o2bobo4bobo$ob2o3b
o4bo5bo4bo3b2obo$ob3o2bo3b2ob3ob2o3bo2b3obo$ob3o2b2o6bo6b2o2b3obo!

Is in fact a slow linear growth, based on this interesting p162 gun:
x = 13, y = 41, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo3bo2$7bo2$7bo2$3b2o2bo2b2o$4bo5bo$2bo4bo4bo$2b3o5b3o$4bo5bo7$7bo$o
5$7bo7$4bo5bo$2b3o5b3o$2bo4bo4bo$4bo5bo$3b2o2bo2b2o2$7bo2$7bo2$5bo3bo!

Interesting as the it consists of two p36 guns, and 162=4.5x36
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby 2718281828 » May 14th, 2018, 5:11 pm

toroidalet wrote:smaller:
x = 39, y = 38, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo17bo$6bo13b5o$5b2o8bo4bo3bo5bo$3bo9b5ob2obob2o2b5o$13bo3bo2bo3bo3bo
3bo3b2o$2bo9b2obob2ob5o2b2obob2o2bo$13bo3bo4bo5bo3bo5bo$13b5o10b5o$b2o
7bo4bo9b2o3bo5bo$2bo7b3o10b3o2bo$o11bo10bo3b2o$21b2o8bo3bo$bo9bo9bo2bo
$3bo5bo13b2o$2b2o5b2o$26bo2$27bo$11bo$13bo12bo$12b2o5bo4b5o$4bo3bo12bo
2bo3bo$4bo3bo11b2ob2obob2o$3b7o14bo3bo5bo$5b3o16b5o3bo$2b2o5b2o15bo5b
2o$3bo5bo$bo9bo$5bobo$26bo2$2b2o5b2o14bo$3bo2bo2bo$3b2o3b2o12b2o$22bo
6bo$24bo$26bo$28bo!


Again smaller p104:
x = 31, y = 40, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo$6bo$5b2o7bo$3bo3bo4b5o$12bo3bo5bo$2bo5b2ob2obob2o2b5o$6bob2o2bo3bo
3bo3bo3b2o$6bobo3b5o2b2obob2o2bo$b2obobobobo3bo5bo3bo5bo$2bobo3bob3o7b
5o$o2bo5bo2bo4b2o3bo5bo$6bo8b3o2bo$bo3b3o3bo3bo3b2o$3bo2bo2bo3b2o8bo3b
o$2b2o2bo2b2o2bo2bo$5b3o7b2o$5bobo$18bo2$19bo2$18bo$5bobo8b5o$5b3o5bo
2bo3bo$11b3ob2obob2o$2b2o5b3o4bo3bo5bo$3bo5bo6b5o3bo$bo16bo5b2o4$2b2o
2bo2b2o7bo$3bo5bo$3b2o3b2o7bo2$14b2o$14bo6bo$16bo$18bo$20bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby danny » May 17th, 2018, 6:11 pm

Interesting kind-of push reaction that leaves behind a dot:
x = 6, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o$2bo$3o3$5bo2$2bo2$5bo3$3o$2bo$b2o!

A relative or two:
x = 12, y = 36, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7b2o$8bo$6b3o3$11bo2$8bo$11bo3$3bo$4bo$4b2o$3b2o6$7b2o$8bo$6b3o3$11bo
2$8bo$11bo4$2o2b2o$bo3b2o$2o3bo$4bo!

A 2c/5 looks plausible:
x = 5, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$2bo$b2o3$2bobo3$b2o$2bo$o!

10c/26 fuse:
x = 31, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o6bo5b2o6bo6bo$2bo6bo3bo2bo6bo6bo$b2o5b2o5b2o5b2o5b2o2$3bo2$3bo2$b2o5b
2o5b2o5b2o5b2o$2bo6bo6bo6bo6bo$o6bo6bo6bo6bo!

This looks potentially useful:
x = 19, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3b2ob2ob2ob2ob2o$3bo2bo2bo2bo2bo2bo$2b2ob2ob2ob2ob2ob2o2$o$4bo2$4bo3$
2b2ob2ob2ob2ob2ob2o$3bo2bo2bo2bo2bo2bo$3b2ob2ob2ob2ob2o!

I only could fashion a p23 out of it, though:
x = 15, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6b2o$6bo2bo$bo3b2ob2o3bo2$o13bo$5bo3bo2$5bo3bo$o13bo2$bo3b2ob2o3bo$6bo
2bo$6b2o!

p7 sparker
x = 7, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3b2o$3bo2bo$2b2ob2o2$o$3bo$3b2o$3bo$o2$2b2ob2o$3bo2bo$3b2o!

Oh, I also reduced toroidalet's odd reflector by a bit:
x = 8, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o3b2o$2bo3bo$o2bo2b2o$3o$2bobo2$3bo!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby BlinkerSpawn » May 17th, 2018, 7:16 pm

danny wrote:Oh, I also reduced toroidalet's odd reflector by a bit:
x = 8, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
b2o3b2o$2bo3bo$o2bo2b2o$3o$2bobo2$3bo!

Sad news:
x = 8, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$bo4b2o$b2o3bo$6b2o$b2o$bo2bo$3b2o5$o$2bo3b2o$b2o3bo$3bo2b2o$b2o$bo
2bo$3b2o!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby A for awesome » May 17th, 2018, 8:32 pm

BlinkerSpawn wrote:Sad news:
x = 8, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo$bo4b2o$b2o3bo$6b2o$b2o$bo2bo$3b2o5$o$2bo3b2o$b2o3bo$3bo2b2o$b2o$bo
2bo$3b2o!

The bottom one is rephased while the top one is not — so they are both useful for different periods.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby danny » May 17th, 2018, 10:57 pm

He meant that he had reduced the bounding box, I would hazard a guess. But the p2 section on the left side that is off phase from the rest kind of rubs me the wrong way.

Here's a weird semi-catalyst, it looks close to a G->xR but I don't have enough time.:
x = 14, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$4bo$3b2o5$o12bo$2bo8bo$b2o3bo4b2o3$2bo3b2o$3o3bo$o2bo2b2o$2bo$b2o!

Is this p8 known:
x = 7, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$2bo$b2o2$4bobo5$4bobo2$b2o$2bo$o!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby BlinkerSpawn » May 17th, 2018, 11:45 pm

danny wrote:Here's a weird semi-catalyst, it looks close to a G->xR but I don't have enough time.:
x = 14, y = 17, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$4bo$3b2o5$o12bo$2bo8bo$b2o3bo4b2o3$2bo3b2o$3o3bo$o2bo2b2o$2bo$b2o!

Something:
x = 13, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$7bo$6b2o$12bo$o9b3o$2bo7bo$b2o3bo3$2bo3b2o$3o3bo$o2bo2b2o$2bo$b2o!
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Re: Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

Postby danny » May 19th, 2018, 12:05 am

Can it gun?:
x = 14, y = 16, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo$2b3o$2bo5$b2o2b3o3b2o$2bo2bobo3bo$o4b3o5bo4$2bo$2b3o$4bo!


It seems likely, it can produce climbing r's

EDIT: Oh, also, the p104 SS->R by AbhpzTa can be attached to a CR->SS, giving this 'detachment' reaction, as well as making the output R 3 cells higher than the climbing r.:
x = 146, y = 45, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
121bo$119bo$119b2o$45bo$43bo85bo$43b2o76bo5b5o$119b5o3bo3bo5bo$53bo65b
o3bo2b2obob2o2b5o$45bo5b5o58b2o2b2obob2o2bo3bo3bo3bo3b2o$43b5o3bo3bo5b
o53bo3bo3bo3b5o2b2obob2o2bo$43bo3bo2b2obob2o2b5o49bo5b5o5bo5bo3bo5bo$
38b2o2b2obob2o2bo3bo3bo3bo3b2o52bo13b5o$39bo3bo3bo3b5o2b2obob2o2bo64b
2o3bo5bo$37bo5b5o5bo5bo3bo5bo49bo10b3o2bo$45bo13b5o53b5o8bo3b2o$56b2o
3bo5bo49bo3bo6bo9bo3bo$43bo10b3o2bo56b2obob2o7b2o$41b5o8bo3b2o57bo3bo
9bo$41bo3bo6bo9bo3bo50b5o7bo$40b2obob2o7b2o63bo13bo$41bo3bo9bo44bo15bo
$41b5o7bo44b5o11b5o6bo8bo$43bo13bo40bo3bo5bo5bo3bo4b5o$24bo15bo56b2obo
b2o2b5o2b2obob2o3bo3bo5bo$3o19b5o11b5o6bo8bo20bo2bo2bo2bo2bo6bo3bo3bo
3bo3bo3bo3b2obob2o2b5o$2bo19bo3bo5bo5bo3bo4b5o25b2ob2ob2ob2ob2ob2o4b5o
2b2obob2o2b5o4bo3bo3bo3bo$b2o18b2obob2o2b5o2b2obob2o3bo3bo5bo19bo2bo2b
o2bo2bo2bo7bo5bo3bo5bo6b5o2b2obob2o$6bo2bo2bo2bo6bo3bo3bo3bo3bo3bo3b2o
bob2o2b5o19b2o4b2o4b2o13b5o14bo5bo3bo5bo$b2ob2ob2ob2ob2ob2o4b5o2b2obob
2o2b5o4bo3bo3bo3bo48bo22b5o3bo$bo2bo2bo2bo2bo2bo7bo5bo3bo5bo6b5o2b2obo
b2o54b2o16bo5b2o$3b2o4b2o4b2o13b5o14bo5bo3bo5bo49bo$32bo22b5o3bo53bo$
39b2o16bo5b2o$39bo93bo$41bo$132bo$57bo$129b2o$56bo72bo6bo$131bo$53b2o
78bo$53bo6bo74bo$55bo$57bo$59bo!
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