Snowflakes (B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e)

[AforAmpere]

If someone can find reactions like this that pushes an object, pulls it, and shoots a glider, the orthogonoid for this rule is easy:

Code: Select all

x = 112, y = 46, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
18$13b2o14b2o21b2o17b2o21bo$14bo15bo22bo18bo$13b2o14b2o21b2o17b2o2$94b
o!

The thing to use as an arm:

Code: Select all

x = 110, y = 228, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10$38bo$40bo$39b2o3$39bo$37b5o$37bo3bo$36b2obob2o$37bo3bo$37b5o$39bo
40bo$78b5o$67b2o9bo3bo5bo$66b2obo7b2obob2o2bo$67b2o9bo3bo3b2o$78b5o$
80bo47$39bo$38bobo$38b3o$39bo28$55bo$53bo$53b2o$39bo6bo$38bobo3b5o$38b
3o3bo3bo5bo$39bo3b2obob2o2b5o3b2o$44bo3bo3bo3bo3bo$44b5o2b2obob2o4bo$
46bo5bo3bo$52b5o$44b2o8bo$34b2o8bo12bo$35bo10bo8b5o$33bo6bo14bo3bo$54b
2obob2o$42b2o11bo3bo$42bo12b5o$44bo12bo2$55bo$53b5o$53bo3bo$52b2obob2o
$53bo3bo$53b5o$55bo2$53bo$51b5o$51bo3bo$50b2obob2o$51bo3bo$51b5o$53bo
2$51bo$49b5o$49bo3bo$48b2obob2o$49bo3bo$49b5o$51bo2$49bo$47b5o$47bo3bo
$46b2obob2o$47bo3bo$47b5o$49bo2$51bo$49b5o$49bo3bo$48b2obob2o$49bo3bo$
49b5o$51bo2$49bo$47b5o$47bo3bo$46b2obob2o$47bo3bo$47b5o$49bo3$49bo$47b
5o$47bo3bo$46b2obob2o$47bo3bo$47b5o$49bo$31bo$23bo5b5o$25bo3bo3bo37b2o
$24b2o2b2obob2o37bo$29bo3bo37b2o$29b5o$31bo5bo36bo$35b5o32b5o$35bo3bo
32bo3bo$34b2obob2o30b2obob2o$35bo3bo32bo3bo$35b5o32b5o$37bo36bo3$37b2o
34b2o$37bo35bo$39bo35bo11$53bo3$53bo$50bo!

[dani]

I used AforAmpere's device to build a Golly ticker:

Code: Select all

x = 1495, y = 286, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
1481bo$1479bo$1479b2o3$1480bo$1478b5o$1478bo3bo$1477b2obob2o$1480bo$
1480bo$1008bo470b3o$1006b5o469bo$1000bo5bo3bo62b2o66b2o134b2o134b2o$
1002bo2b2obob2o60bob2o64bob2o132bob2o132bob2o$1001b2o3bo3bo62b2o66b2o
134b2o134b2o$1006b5o3bo$1008bo4b3o$1013bobo$1014bo7$1085bo$1087bo$
1078bo7b2o$1076b5o$1070bo5bo3bo$1068b5o2b2obob2o3bo$1062bo5bo3bo3bo3bo
2b5o$1060b5o2b2obob2o2b5o2bo3bo5bo$1038bo15bo5bo3bo3bo3bo5bo3b2obob2o
2bo$1036b5o11b5o2b2obob2o2b5o10bo3bo3b2o$1021bo8bo5bo3bo5bo5bo3bo3bo3b
o5bo12b5o$1019b5o4b5o2b2obob2o2b5o2b2obob2o2b5o20bo$1019bo3bo4bo3bo3bo
3bo3bo3bo3bo3bo5bo$1018b2obob2o2b2obob2o2b5o2b2obob2o2b5o30bo$1019bo3b
o4bo3bo5bo5bo3bo5bo30b5o$o1018b5o4b5o11b5o36bo3bo$1021bo8bo15bo33bo3b
2obob2o$1082bo2bo3bo390bo$1075bo5b2o2b5o389bobo$1077bo9bo391b3o$1076b
2o402bo5bo$1484b5o$1008bo70bo239b2o32b2o32b2o66b2o27bo3bo3b2o$1000bo5b
5o307b2obo30b2obo30b2obo64b2obo25b2obob2o2bo$1002bo3bo3bo308b2o32b2o
32b2o66b2o27bo3bo5bo$1001b2o2b2obob2o472b5o$1006bo3bo475bo$1006b5o69b
2o$1008bo5bo66bo$1012b5o62bo401bo$1012bo3bo462bo$1011b2obob2o461b2o$
1012bo3bo$1012b5o$1014bo465bo$1478b5o$1478bo3bo$1014b2o461b2obob2o$
1014bo465bo$1016bo463bo$1008bo470b3o$1006b5o469bo$1000bo5bo3bo62b2o66b
2o134b2o134b2o$1002bo2b2obob2o60bob2o64bob2o132bob2o132bob2o$1001b2o3b
o3bo62b2o66b2o134b2o134b2o$1006b5o3bo$1008bo4b3o$1013bobo$1014bo7$
1085bo$1087bo$1078bo7b2o$1076b5o$1070bo5bo3bo$1068b5o2b2obob2o3bo$
1062bo5bo3bo3bo3bo2b5o$1060b5o2b2obob2o2b5o2bo3bo5bo$1038bo15bo5bo3bo
3bo3bo5bo3b2obob2o2bo$1036b5o11b5o2b2obob2o2b5o10bo3bo3b2o$1021bo8bo5b
o3bo5bo5bo3bo3bo3bo5bo12b5o$1019b5o4b5o2b2obob2o2b5o2b2obob2o2b5o20bo$
1019bo3bo4bo3bo3bo3bo3bo3bo3bo3bo5bo$1018b2obob2o2b2obob2o2b5o2b2obob
2o2b5o30bo$1019bo3bo4bo3bo5bo5bo3bo5bo30b5o$o1018b5o4b5o11b5o36bo3bo$
1021bo8bo15bo33bo3b2obob2o$1082bo2bo3bo$1075bo5b2o2b5o$1077bo9bo$1076b
2o408bo$1484b5o$1008bo70bo239b2o134b2o27bo3bo3b2o$1000bo5b5o307b2obo
132b2obo25b2obob2o2bo$1002bo3bo3bo308b2o134b2o27bo3bo5bo$1001b2o2b2obo
b2o472b5o$1006bo3bo475bo$1006b5o69b2o$1008bo5bo66bo$1012b5o62bo401bo$
1012bo3bo462bo$1011b2obob2o461b2o$1012bo3bo$1012b5o$1014bo465bo$1478b
5o$1478bo3bo$1014b2o461b2obob2o$1014bo465bo$1016bo463bo$1008bo470b3o$
1006b5o469bo$1000bo5bo3bo62b2o32b2o32b2o134b2o134b2o$1002bo2b2obob2o
60bob2o30bob2o30bob2o132bob2o132bob2o$1001b2o3bo3bo62b2o32b2o32b2o134b
2o134b2o$1006b5o3bo$1008bo4b3o$1013bobo$1014bo7$1085bo$1087bo$1078bo7b
2o$1076b5o$1070bo5bo3bo$1068b5o2b2obob2o3bo$1062bo5bo3bo3bo3bo2b5o$
1060b5o2b2obob2o2b5o2bo3bo5bo$1038bo15bo5bo3bo3bo3bo5bo3b2obob2o2bo$
1036b5o11b5o2b2obob2o2b5o10bo3bo3b2o$1021bo8bo5bo3bo5bo5bo3bo3bo3bo5bo
12b5o$1019b5o4b5o2b2obob2o2b5o2b2obob2o2b5o20bo$1019bo3bo4bo3bo3bo3bo
3bo3bo3bo3bo5bo$1018b2obob2o2b2obob2o2b5o2b2obob2o2b5o30bo$1019bo3bo4b
o3bo5bo5bo3bo5bo30b5o$o1018b5o4b5o11b5o36bo3bo$1021bo8bo15bo33bo3b2obo
b2o$1082bo2bo3bo$1075bo5b2o2b5o$1077bo9bo$1076b2o408bo$1484b5o$1008bo
70bo239b2o66b2o66b2o27bo3bo3b2o$1000bo5b5o307b2obo64b2obo64b2obo25b2ob
ob2o2bo$1002bo3bo3bo308b2o66b2o66b2o27bo3bo5bo$1001b2o2b2obob2o472b5o$
1006bo3bo475bo$1006b5o69b2o$1008bo5bo66bo$1012b5o62bo401bo$1012bo3bo
462bo$1011b2obob2o461b2o$1012bo3bo$1012b5o$1014bo465bo$1478b5o$1478bo
3bo$1014b2o461b2obob2o$1014bo465bo$1016bo463bo$1008bo470b3o$1006b5o
469bo$1000bo5bo3bo96b2o168b2o134b2o$1002bo2b2obob2o94bob2o166bob2o132b
ob2o$1001b2o3bo3bo96b2o168b2o134b2o$1006b5o$1008bo9$1085bo$1087bo$
1078bo7b2o$1076b5o$1070bo5bo3bo$1068b5o2b2obob2o3bo$1062bo5bo3bo3bo3bo
2b5o$1060b5o2b2obob2o2b5o2bo3bo5bo$1038bo15bo5bo3bo3bo3bo5bo3b2obob2o
2bo$1036b5o11b5o2b2obob2o2b5o10bo3bo3b2o$1021bo8bo5bo3bo5bo5bo3bo3bo3b
o5bo12b5o$1019b5o4b5o2b2obob2o2b5o2b2obob2o2b5o20bo$1019bo3bo4bo3bo3bo
3bo3bo3bo3bo3bo5bo$1018b2obob2o2b2obob2o2b5o2b2obob2o2b5o30bo$1019bo3b
o4bo3bo5bo5bo3bo5bo30b5o$o1018b5o4b5o11b5o36bo3bo$1021bo8bo15bo33bo3b
2obob2o$1082bo2bo3bo$1075bo5b2o2b5o$1077bo9bo$1076b2o408bo$1484b5o$
1008bo70bo239b2o66b2o66b2o27bo3bo3b2o$1000bo5b5o307b2obo64b2obo64b2obo
25b2obob2o2bo$1002bo3bo3bo308b2o66b2o66b2o27bo3bo5bo$1001b2o2b2obob2o
472b5o$1006bo3bo475bo$1006b5o69b2o$1008bo5bo66bo$1012b5o62bo401bo$
1012bo3bo462bo$1011b2obob2o461b2o$1012bo3bo$1012b5o$1014bo465bo$1478b
5o$1478bo3bo$1014b2o461b2obob2o$1014bo465bo$1016bo463bo$1008bo470b3o$
1006b5o469bo$1000bo5bo3bo96b2o100b2o32b2o32b2o66b2o32b2o32b2o$1002bo2b
2obob2o94bob2o98bob2o30bob2o30bob2o64bob2o30bob2o30bob2o$1001b2o3bo3bo
96b2o100b2o32b2o32b2o66b2o32b2o32b2o$1006b5o3bo$1008bo4b3o$1013bobo$
1014bo7$1085bo$1087bo$1078bo7b2o$1076b5o$1070bo5bo3bo$1068b5o2b2obob2o
3bo$1062bo5bo3bo3bo3bo2b5o$1060b5o2b2obob2o2b5o2bo3bo5bo$1038bo15bo5bo
3bo3bo3bo5bo3b2obob2o2bo$1036b5o11b5o2b2obob2o2b5o10bo3bo3b2o$1021bo8b
o5bo3bo5bo5bo3bo3bo3bo5bo12b5o$1019b5o4b5o2b2obob2o2b5o2b2obob2o2b5o
20bo$1019bo3bo4bo3bo3bo3bo3bo3bo3bo3bo5bo$1018b2obob2o2b2obob2o2b5o2b
2obob2o2b5o30bo$1019bo3bo4bo3bo5bo5bo3bo5bo30b5o$o1018b5o4b5o11b5o36bo
3bo$1021bo8bo15bo33bo3b2obob2o$1082bo2bo3bo390bo$1075bo5b2o2b5o389bobo
$1077bo9bo391b3o$1076b2o402bo5bo$1484b5o$1008bo70bo239b2o32b2o32b2o66b
2o27bo3bo3b2o$1000bo5b5o307b2obo30b2obo30b2obo64b2obo25b2obob2o2bo$
1002bo3bo3bo308b2o32b2o32b2o66b2o27bo3bo5bo$1001b2o2b2obob2o472b5o$
1006bo3bo475bo$1006b5o69b2o$1008bo5bo66bo$1012b5o62bo$1012bo3bo$1011b
2obob2o$1012bo3bo$1012b5o$1014bo3$1014b2o$1014bo$1016bo!

Obviously not that optimized, however the emission time of each glider is.

I spent somewhere between 15 and 20 minutes making this. Period is 2072

[2718281828]

EDIT: Signal splitters:

Code: Select all

RLE

Very nice.
With this recipe:

Code: Select all

x = 123, y = 28, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
$63bobo30b2o$63b3o29bob2o$96b2o$26bo40bo$24b5o86b3o$24bo3bo86bo$23b2ob
ob2o78bo6b2o$24bo3bo79bobo$24b5o79b3o$26bo$23bo38bo39bo$21b3o36b3o2bo
34b3o15b2o$21bo4bo33bo39bo17bo$20b2o37b2o38b2o17b2o$16bo7b2o29bo7b2o
30bo7b2o3bo$14b5o5bo28b5o5bo29b5o5bo3b3o$8bo5bo3bo3b3o22bo5bo3bo3b3o
23bo5bo3bo3b3o3bobo$6b5o2b2obob2o2bo22b5o2b2obob2o2bo23b5o2b2obob2o2bo
6bo$6bo3bo3bo3bo26bo3bo3bo3bo27bo3bo3bo3bo$5b2obob2o2b5o25b2obob2o2b5o
9b3o14b2obob2o2b5o$6bo3bo5bo28bo3bo5bo11bobo15bo3bo5bo$b3o2b5o34b5o35b
5o$bobo4bo38bo39bo$bo!

A snowflake signal can be transformed into a G/R. Maybe there is a simpler reconstruction with G's and R's but I did not find any. In general, I there are better ways for transforming a snowflake signal into a G/R.

EDIT1:
Maybe something better could be done using:

Code: Select all

x = 47, y = 26, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
42bo$40bo$36bo3b2o$34b5o$34bo3bo$33b2obob2o$34bo3bo$34b5o$36bo$33bo$
31b3o$31bo4bo$30b2o$26bo7b2o$24b5o5bo$18bo5bo3bo3b3o$16b5o2b2obob2o2bo
$16bo3bo3bo3bo$15b2obob2o2b5o$16bo3bo5bo$11b3o2b5o$11bobo4bo$11bo!

[Rhombic]

Reporting unsatisfiability of the following search:
$ ./lls -S lingeling -b 10 16 --symmetry "D2|" -p 9 -x 0 -y 1 -r B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e -i

[dani]

p138*n gun utilizing a new reaction:

Code: Select all

x = 86, y = 39, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo80bo$3o12bo54bo12b3o$o12bo58bo12bo$13b2o56b2o$7bo3bo62bo3bo$6b2o3bo
62bo3b2o$7bo2b2o62b2o2bo$11bo62bo$8b3o64b3o$7b5o3bo54bo3b5o$2b2o4b3o3b
2obo50bob2o3b3o4b2o$3bo7bo3bo54bo3bo7bo$bo8bo4b2o52b2o4bo8bo$10b2o62b
2o3$8bo68bo2$7b2o$7bo$7b2o$bo$8bo68bo3$10b2o62b2o$bo8bo4b2o52b2o4bo8bo
$3bo7bo3bo54bo3bo7bo$2b2o4b3o3b2obo50bob2o3b3o4b2o$7b5o3bo54bo3b5o$8b
3o64b3o$11bo62bo$7bo2b2o62b2o2bo$6b2o3bo62bo3b2o$7bo3bo62bo3bo$13b2o
56b2o$o12bo58bo12bo$3o12bo54bo12b3o$2bo80bo!

Interestingly, the dots stay in their place after reflecting and emitting the glider.

The p138 t shuttle itself:

Code: Select all

x = 18, y = 14, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$3o12bo$o12bo$13b2o$7bo3bo$6b2o3bo$7bo2b2o$11bo$8b3o$7b5o3bo$2b2o4b
3o3b2obo$3bo7bo3bo$bo8bo4b2o$10b2o!

Expect a bunch more t shuttles to come.

[2718281828]

p138*n gun utilizing a new reaction:

This reaction is suitable for many more guns. We just need a suitable dot sparking oscillator. E.g. a p32 gun:

Code: Select all

x = 25, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo15bo$2b3o15b3o$2bo19bo3$5bo3bo5bo3bo2$5bo13bo2$5bo13bo$2o21b2o$o23b
o$2bo19bo$4bo15bo$11b3o$11bobo2$8b2o5b2o$9bo5bo$7bo9bo$11bo!

[dani]

Nice guns! I couldn't find any previously-unknown T-shuttles. However, one of my shuttles failed and became a period 2 oscillator that I haven't seen before. Here is the last step for a synthesis:

Code: Select all

x = 20, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo3bo$10bo2$b2o15b2o$ob2o14bo$b2o15b2o2$10bo$8bo3bo!

Is there a stable snowflake signal->G converter? How would we go about finding such a thing?

-

I'd wonder if there is a 5-cell pattern which last more than 100 generations

116M:

Code: Select all

x = 3, y = 13, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o2$o2$o4$2bo4$o!

113M:

Code: Select all

x = 8, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
o$7bo$o2$o4$2bo!

[2718281828]

A couple of guns using the new gun technique (period 44, 36, 32, 36, 45, 28, 35, 40, 24):

Code: Select all

x = 46, y = 262, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2$28bo$30bo$29b2o3$31bo3$31bo3$31bo2$31bo2b2o$34bo$18bo14b2o$20bo$19b
2o2$17bo8b2o$25bob2o$26b2o2$19b2o$20bo$18bo14b2o$34bo$31bo2b2o2$31bo3$
31bo3$31bo3$29b2o$30bo$28bo6$27bo3bo$29bo2$29bo$33b2o$24bo6bobo$16bo9b
o8bo$18bo6b2o$17b2o8bo2$15bo11b2o$28bo$27b2o2$17b2o8bo$18bo6b2o$16bo9b
o8bo$24bo6bobo$33b2o$29bo2$29bo$27bo3bo5$21b2o10b2o$21b2o3bo6bo$25b2o
8bo$18bo2bo4bo6b3o$11bo8bob2o9bo$13bo5b2ob2o$12b2o7bo2$10bo10b2o$22bo$
21b2o2$12b2o7bo$13bo5b2ob2o$11bo8bob2o9bo$18bo2bo4bo6b3o$25b2o8bo$21b
2o3bo6bo$21b2o10b2o10$27b2o$28bo$28b2o2$24bobo$29b2o$16bo12bo$18bo9b2o
$17b2o2$15bobo2bo$17bo$17bo2bo2$17b2o$18bo9b2o$16bo12bo$29b2o$24bobo2$
28b2o$28bo$27b2o5$32b2o$33bo$28b2o3b2o$28bobo$27b3o$28bobo3b2o$28b2o4b
o$33b2o$18bo13bo$16b5o$10bo5bo3bo11b2o$12bo2b2obob2o11bo$11b2o3bo3bo
11b2o$16b5o$18bo13bo$33b2o$28b2o4bo$28bobo3b2o$27b3o$28bobo$28b2o3b2o$
33bo$32b2o7$34bo2$24b2o9bo$18bo6bo2bobobo$20bo4b2o$19b2o2$17bo7b2o$24b
ob2o$25b2o2$19b2o$20bo4b2o$18bo6bo2bobobo$24b2o9bo2$34bo5$34bo2$24b2o
9bo$25bo2bobobo$14bo10b2o$12b5o$6bo5bo3bo$8bo2b2obob2o7b2o$7b2o3bo3bo
7bob2o$12b5o8b2o$14bo2$25b2o$25bo2bobobo$24b2o9bo2$34bo7$31b2o$29bo2bo
$29b2o2$27b2o$26bobo$27b2obo$28bo5b2o$20bo4bo2b2o4bo$22bo10b2o$21b2o9b
o2$19bo12b2o$33bo$32b2o2$21b2o9bo$22bo10b2o$20bo4bo2b2o4bo$28bo5b2o$
27b2obo$26bobo$27b2o2$29b2o$29bo2bo$31b2o4$27bo$25b2obo$20bo4b2o7b2o$
30bobo2bo$21bobo5b4o2b2o$30bobo$19b2o4b2o$20bo4b2obo$20b2o5bo2$18bo8b
2o$28bo$27b2o2$20b2o5bo$20bo4b2obo$19b2o4b2o$30bobo$21bobo5b4o2b2o$30b
obo2bo$20bo4b2o7b2o$25b2obo$27bo!

However, I failed to get a period smaller than 24. For smaller odd period (e.g. 23, 25,27,29,31) we would need a fast 180° colour changing G reflector.

[2718281828]

And this one a p17 pseudo G-gun:

Code: Select all

x = 18, y = 21, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
10bo$9bobo$9b3o$10bo8$16b2o$16bo$16b2o$6b2o$5bob2o$b2o3b2o6b2o$2bo7bo
3bo$3o6bobo2b3o$9b3o$10bo!

A recipe for a p15 pseudo gun:

Code: Select all

x = 69, y = 32, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$20bobo28bobo$20b3o28b3o3$47bo$46bobo$46b3o$47bo5$7b3o$9bo5b2o29b2o$
8b2o4bob2o15b2o10bob2o15b2o$15b2o3bobo10bo12b2o3bobo10bo$20b3o10b2o16b
3o10b2o$26b2o29b2o$25b2obo27b2obo$26b2o29b2o$33b2o29b2o$33bo30bo$33b2o
29b2o!

And something on 180° G reflectors. I am not sure if we observed that the colour preserving reflectors can be used to reflect a 2G salvo of even period. For all periods of 4N, the p2 reflector can be used to reflect any salvo of arbitrary length. It allows something like stack oscillators.

Code: Select all

x = 110, y = 86, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$49bo55bo$47bo55bo$21b2o24b2o54b2o$10b2o4b2o4bo51b2o$9bob2o2bob2o3b3o
11b2o5b2o16b2o6b2o4bo14b2o7b2o$10b2o4b2o3bo2bo10bob2o3bob2o14bob2o4bob
2o3b3o11bob2o5bob2o$22bo13b2o5b2o5bo10b2o6b2o3bo2bo12b2o7b2o5bo$20bob
2o51bo$22bo24b2o24bob2o26b2o$24bo22bo27bo27bo$49bo27bo27bo7$62b2o$41b
2o6b2o6b2o4bo$40bob2o4bob2o4bob2o3b3o$41b2o6b2o6b2o3bo2bo$63bo$61bob2o
$63bo$65bo5$65bo$63bo$63b2o2$41b2o7b2o7b2o$40bob2o5bob2o5bob2o$41b2o7b
2o7b2o5bo2$63b2o$63bo$65bo9$63b2o$18b2o6b2o6b2o6b2o6b2o6b2o4bo$17bob2o
4bob2o4bob2o4bob2o4bob2o4bob2o3b3o$18b2o6b2o6b2o6b2o6b2o6b2o3bo2bo$64b
o$62bob2o$64bo$66bo6$63b2o$28b2o4b2o4b2o4b2o4b2o4b2o4bo$27bob2o2bob2o
2bob2o2bob2o2bob2o2bob2o3b3o$28b2o4b2o4b2o4b2o4b2o4b2o3bo2bo$64bo$62bo
b2o$64bo$66bo5$23b2o38b2o$23bo4b2o4b2o4b2o4b2o4b2o4b2o4bo$21b3o3bob2o
2bob2o2bob2o2bob2o2bob2o2bob2o3b3o$21bo2bo3b2o4b2o4b2o4b2o4b2o4b2o3bo
2bo$23bo40bo$22b2obo36bob2o$23bo40bo$21bo44bo!

The salvo stack also works for arbitrary sequences:

Code: Select all

x = 115, y = 9, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b2o107b2o$2bo31b2o16b2o4b2o16b2o4b2o10b2o4b2o4b2o4bo$3o30bob2o14bob2o
2bob2o14bob2o2bob2o8bob2o2bob2o2bob2o3b3o$o2bo30b2o16b2o4b2o16b2o4b2o
10b2o4b2o4b2o3bo2bo$2bo109bo$b2obo105bob2o$2bo109bo$o113bo!

EDIT1:
We can easily build a simple golly ticker with it.

[77topaz]

Heh, the mechanism of that "stack oscillator" rather reminds me of a spring bouncing back and forth.

[fluffykitty]

Sadly, the salvo stack reflector has different speeds for different salvos:

Code: Select all

x = 115, y = 18, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b2o107b2o$2bo31b2o16b2o4b2o16b2o4b2o10b2o4b2o4b2o4bo$3o30bob2o14bob2o
2bob2o14bob2o2bob2o8bob2o2bob2o2bob2o3b3o$o2bo30b2o16b2o4b2o16b2o4b2o
10b2o4b2o4b2o3bo2bo$2bo109bo$b2obo105bob2o$2bo109bo$o113bo3$2b2o107b2o
$2bo31b2o16b2o4b2o22b2o10b2o4b2o4b2o4bo$3o30bob2o14bob2o2bob2o20bob2o
8bob2o2bob2o2bob2o3b3o$o2bo30b2o16b2o4b2o22b2o10b2o4b2o4b2o3bo2bo$2bo
109bo$b2obo105bob2o$2bo109bo$o113bo!

So that won't work.

[dani]

We can easily build a simple golly ticker with it.

I assume this is what you meant? (Put into one of its obscure phases just so the 'decompression' will look better):

Code: Select all

x = 290, y = 36, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4b2o278b2o$4bo180b2o4b2o4b2o10b2o4b2o2b2o2b2o2b2o4b2o4b2o6b2o10b2o6b2o
4b2o10bo$2b3o180bo5bo5bo11bo5bo4bo2bo4bo5bo4bo8bo11bo6bo6bo10b3o$2bo
182b2o4b2o4b2o10b2o4b2o2b2o2b2o2b2o4b2o4b2o6b2o10b2o6b2o4b2o12bo$4bo
280bo$3b2obo276bob2o$4bo280bo$2bob2o278b2obo$o3bo180b2o6b2o4b2o4b2o4b
2o4bo2bo4b2o6b2o4b2o6b2o4b2o10b2o8b2o8bo3bo$2b3o180bo8bo5bo5bo5bo13bo
6bo6bo6bo6bo11bo8bo9b3o$2bo182b2o6b2o4b2o4b2o4b2o4bo2bo4b2o6b2o4b2o6b
2o4b2o10b2o8b2o10bo$4bo280bo$3b2obo276bob2o$4bo280bo$2bob2o278b2obo$o
3bo180b2o10b2o8b2o2b2o2b2o4b2o4bo2bo10bo2bo10b2o4b2o4b2o4b2o10bo3bo$2b
3o180bo11bo10bo2bo4bo5bo33bo5bo5bo4bo11b3o$2bo182b2o10b2o8b2o2b2o2b2o
4b2o4bo2bo10bo2bo10b2o4b2o4b2o4b2o12bo$4bo280bo$3b2obo276bob2o$4bo280b
o$2bob2o278b2obo$o3bo180bo2bo4b2o4b2o2b2o2b2o4b2o4bo2bo4b2o6b2o10b2o
12b2o10b2o10bo3bo$2b3o189bo5bo2bo4bo5bo13bo6bo11bo14bo10bo11b3o$2bo
182bo2bo4b2o4b2o2b2o2b2o4b2o4bo2bo4b2o6b2o10b2o12b2o10b2o12bo$4bo280bo
$3b2obo276bob2o$4bo280bo$2bob2o278b2obo$o3bo180b2o4b2o4b2o10b2o4b2o4b
2o10b2o4b2o4b2o4b2o6b2o4b2o4b2o2b2o8bo3bo$2b3o180bo5bo5bo11bo5bo5bo11b
o5bo5bo6bo6bo5bo5bo4bo8b3o$2bo182b2o4b2o4b2o10b2o4b2o4b2o10b2o4b2o4b2o
4b2o6b2o4b2o4b2o2b2o10bo$4bo280bo$3b2obo276bob2o$4bo280bo$2bo284bo!

I had to put the weird bit at the end because it simply wouldn't work without.
I made it exactly p1000, too.

[77topaz]

I had to put the weird bit at the end because it simply wouldn't work without.
I made it exactly p1000, too.

Yeah, because each of the sections need to have the same number of gliders, otherwise they'll have different periods and go out of phase.

[2718281828]

I had to put the weird bit at the end because it simply wouldn't work without.
I made it exactly p1000, too.

Yeah, because each of the sections need to have the same number of gliders, otherwise they'll have different periods and go out of phase.

This is not a huge problem (and might be even useful in some cases). The ticker could look like this:

Code: Select all

x = 276, y = 39, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
16b2o240b2o$16bo11b2o2b2o10b2o4b2o4b2o2b2o8b2o2b2o2b2o4b2o4b2o167bo$
14b3o11bo4bo11bo5bo5bo2bo10bo2bo4bo5bo4bo168b3o$12bobo13b2o2b2o10b2o4b
2o4b2o2b2o8b2o2b2o2b2o4b2o4b2o169bobo$14b3o242b3o$16bobo238bobo$15b2o
242b2o2$16b2o234b2o$16bo7b2o10bo2bo10b2o12b2o10bo2bo10b2o161bo$14b3o8b
o25bo12bo25bo162b3o$12bobo9b2o10bo2bo10b2o12b2o10bo2bo10b2o163bobo$14b
3o236b3o$16bobo232bobo$15b2o236b2o2$16b2o238b2o$16bo9b2o6b2o4b2o10b2o
8b2o2b2o2b2o4b2o4b2o6b2o165bo$14b3o10bo6bo6bo11bo8bo4bo2bo5bo6bo6bo
166b3o$12bobo11b2o6b2o4b2o10b2o8b2o2b2o2b2o4b2o4b2o6b2o167bobo$14b3o
240b3o$16bobo236bobo$15b2o240b2o2$16b2o232b2o$16bo9b2o6b2o4b2o10b2o10b
2o4b2o6b2o171bo$14b3o10bo6bo6bo11bo11bo4bo8bo171b3o$12bobo11b2o6b2o4b
2o10b2o10b2o4b2o6b2o173bobo$14b3o234b3o$16bobo230bobo$15b2o234b2o2$16b
2o246b2o$16bo5b2o2b2o2b2o2b2o2b2o2b2o8b2o4b2o4bo2bo10b2o4b2o2b2o2b2o
171bo$14b3o6bo2bo4bo2bo4bo2bo10bo5bo19bo5bo2bo4bo171b3o$12bobo7b2o2b2o
2b2o2b2o2b2o2b2o8b2o4b2o4bo2bo10b2o4b2o2b2o2b2o173bobo$14b3o248b3o$16b
obo244bobo$15b2o248b2o!

[dani]

Can this be extended?:

Code: Select all

x = 42, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
6b2o26b2o$7bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$5bo30bo$b2o2b3o2bo2bo2bo2bo2b
o2bo2bo2bo2b3o2b2o$2bobo2bo26bo2bobo$o2bo6bo2bo2bo2bo2bo2bo2bo2bo6bo2b
o$3obo2bo26bo2bob3o$2bo2b3o2bo2bo2bo2bo2bo2bo2bo2bo2b3o2bo$5bo30bo$7bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo$6b2o26b2o!

I personally think it's interesting to work with so few transitions and to see what's possible.

[BlinkerSpawn]

Can this be extended?:

Code: Select all

cool stripey agar

Yes:

Code: Select all

x = 32, y = 24, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo26bo$3o2bo2bo2bo2bo2bo2bo2bo2bo2b3o$o30bo$2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo$3o26b3o$o4bo2bo2bo2bo2bo2bo2bo2bo4bo$2bo26bo$3o2bo2bo2bo2bo2bo
2bo2bo2bo2b3o$o30bo$2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$3o26b3o$o4bo2bo2bo
2bo2bo2bo2bo2bo4bo$2bo26bo$3o2bo2bo2bo2bo2bo2bo2bo2bo2b3o$o30bo$2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo$3o26b3o$o4bo2bo2bo2bo2bo2bo2bo2bo4bo$2bo26bo$
3o2bo2bo2bo2bo2bo2bo2bo2bo2b3o$o30bo$2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$3o
26b3o$o30bo!

[KittyTac]

Can this be extended?:

Code: Select all

oscillator

I personally think it's interesting to work with so few transitions and to see what's possible.

Well, duh:

Code: Select all

x = 104, y = 39, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
15$11b2o74b2o$12bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo$10bo78bo$6b2o2b3o2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b3o2b2o$7bobo2bo74bo2bob
o$5bo2bo6bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo6bo2bo$5b3obo2bo74bo2bob3o$7bo2b3o2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b3o2bo$10bo78bo$12bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo$11b2o74b2o!

[KittyTac]

T-Shuttle can eat a G:

Code: Select all

x = 73, y = 50, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
9$15bo$13b3o12bo$13bo12bo$26b2o$19bobo$18bo2$23bo$21b2o$19bo2bo$15b2o
2b3o8bo$16bo11bo$14bo13b2o3$45b2o$45bo$45b2o!

[dani]

Lots of things can eat G's.

p9 semi-edgy corner sparker:

Code: Select all

x = 14, y = 15, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo$4bo$3b2o$b2o$2bo3b2o$o6bo$3o3b2o$2bo$3b2o$4bo4bo$2bo6bo$9bo$5b2o5b
2o$6bo2bo2bo$6b2o3b2o!

[BlinkerSpawn]

Lots of things can eat G's.

p9 semi-edgy corner sparker:

Code: Select all

rle

Related p9 splitter:

Code: Select all

x = 25, y = 27, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
11bobo$11b3o16$6bo11bo$3bo2b3o7b3o2bo$b3o4bo7bo4b3o$bo21bo$2o3b2o11b2o
3b2o$2bobob2o9b2obobo$2o3b2o11b2o3b2o$bo21bo$b3o17b3o$3bo17bo!

[dani]

Ooh, that reduction. You can cap it off with a dot to make it fully period 9, and it can make a p36+36n gun like you posted on the discord.

Code: Select all

#C p36 Gun by BlinkeRspawn
x = 25, y = 22, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3bo17bo$b3o17b3o$bo21bo$2o3b2o4b3o4b2o3b2o$6bo4bobo4bo$2o3b2o11b2o3b2o
$bo21bo$b3o4bo7bo4b3o$3bo2b3o2bobo2b3o2bo$6bo4b3o4bo3$6bo11bo$3bo2b3o
7b3o2bo$b3o4bo7bo4b3o$bo21bo$2o3b2o11b2o3b2o$6bo11bo$2o3b2o11b2o3b2o$b
o21bo$b3o17b3o$3bo17bo!

A small variant of the gun that allows for p54+36n:

Code: Select all

x = 42, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4bo32bo2$3bobo30bobo$b3ob3o26b3ob3o$bo5bo26bo5bo$2o5b2o24b2o5b2o2$3bob
o30bobo$3b3o2b2o22b2o2b3o$8bo24bo$7b2o24b2o3$17b2o4b2o$18bo4bo$17b2o4b
2o3$7b2o24b2o$8bo24bo$3b3o2b2o22b2o2b3o$3bobo30bobo2$2o5b2o24b2o5b2o$b
o5bo26bo5bo$b3ob3o26b3ob3o$3bobo30bobo2$4bo32bo!

[BlinkerSpawn]

Single-barrel p36+36N, p45+36N, and p63+36N families as well:

Code: Select all

x = 89, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
45bo$43bo$43b2o$74bo3bo3$76bo$41b2o3b2o$42bobobo26bo5bo$42b5o29bo$10bo
3bo29bo27bo7bo$7bo9bo$9bo5bo$8b2o5b2o6$6bo11bo19bo11bo19bo11bo$3bo2b3o
2bobo2b3o2bo13bo2b3o2bobo2b3o2bo13bo2b3o2bobo2b3o2bo$b3o4bo2b3o2bo4b3o
9b3o4bo2b3o2bo4b3o9b3o4bo2b3o2bo4b3o$bo21bo9bo21bo9bo21bo$2o3b2o11b2o
3b2o7b2o3b2o11b2o3b2o7b2o3b2o11b2o3b2o$2bobob2o9b2obobo11bobob2o9b2obo
bo11bobob2o9b2obobo$2o3b2o11b2o3b2o7b2o3b2o11b2o3b2o7b2o3b2o11b2o3b2o$
bo21bo9bo21bo9bo21bo$b3o17b3o9b3o17b3o9b3o17b3o$3bo17bo13bo17bo13bo17b
o!

[KittyTac]

Wow, I think this has about as much, if not more potential than GoL.

[2718281828]

Now, pseudo-gun should be constructable for all periods >= 15 (p15, p16, p17+):

Code: Select all

x = 95, y = 29, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
3$83bo$17bobo29bobo30bobo$17b3o29b3o30b3o$83bo8$89b2o$52b2o35bo$4b3o
45bo36b2o$6bo5b2o38b3o24b2o$5b2o4bob2o15b2o27b2o17bob2o$12b2o3bobo10bo
28bo14b2o3b2o6b2o$17b3o10b2o17bobo7b3o13bo7bo3bo$23b2o19b3o2b3o2b3o16b
3o6bobo2b3o$22b2obo20bo7bo27b3o$23b2o20b2o7b2o27bo$30b2o$30bo$30b2o!

I did not manage to get something with period <= 14.

However, using the new gun technique, it might be possible (add a dot-spark at the left hand figure at generation 4 - so that it looks like the second figure - alternatively an R):

Code: Select all

x = 52, y = 19, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
4$24b3o$24bobo$9b3o28b3o$7bobobobo24bobobobo2bo$45b3o$24bobobo17bo$24b
3o$7bo14bo15bo$12bo14bo15bo$6b3ob3o8b3ob3o9b3ob3o$7bo2bo11bo2bo12bo2bo
$5bo3b2o9bo3b2o10bo3b2o!

However, we would need a very specific p14 (or p28 - left - right mixed) sparking oscillator.
Does someone know a method to construct such an oscillator?

[dani]

Fun period 21 oscillator (21P21):

Code: Select all

x = 12, y = 10, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
5bo$2bo4bo$3o3b2o$o$2bo$b2o$2bo6bobo$o$3o3bo$2bo!

It can't be used for much, though.
Related p24:

Code: Select all

x = 12, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$5bo$2bo2b2o$3o$o4bo$2bo$b2o$2bo6bobo$o$3o3bo$2bo!

The half-carrier can be turned into a Z to bring down bounding box but increase population by one cell.
Related p12:

Code: Select all

x = 21, y = 12, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2bo15bo$3o15b3o$o19bo2$bob3o4bo4b3obo$9b3o$o9bo9bo$3o3bo7bo3b3o$2bo4bo
5bo4bo$5b2o7b2o$6bo7bo$4bo11bo!

EDIT: p15:

Code: Select all

x = 10, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
7bo$5bo$2bo2b2o$3o$o2$bobo4b2o$4bo4bo$o6bo$3o$2bo!

Another p21:

Code: Select all

x = 10, y = 11, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b2o$2bo2bo$3ob2o$o8bo2$bobobo2$o$3ob2o$2bo2bo$2b2o!

EDIT 2: (last edit)

p30 r-signal injector/failed gun:

Code: Select all

x = 11, y = 35, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2b2o4bo$2bo2bo4bo$3ob2o3b2o$o$2bo$b3o$2bo$o$3ob2o$2bo2bo$3bo$3b3obo2bo
$5bob3o$8bo$4b2o$5bo$3bo$3b3o$5bo2$4b2o$5bo$3bo$3b3o$5bo2$4b2o3bo$5bob
3o$3bo4bo$3b3o$5bo2$4b2o$5bo$3bo!