Photonic Day & Night

[Yoel]

There is an island of relative stability In the subset of isotropic non-totalistic self-complementary rules (like Day & Night). One such rule emerges when the "magic" rulestring B2ac3q/S03i, which prevents photons from exploding and produces two basic still lifes, namely the dot and the cross, is turned into a self-complementary rule. The resulting string is B2ac3q5-i67/S03i45-q6-ac78. Other similar rules include B2acn3q5-i67/S03i45-q6eik78, B2ac3cq5-i67/S03i45-cq6-ac78 and B2acn3cq5-i67/S03i45-cq6eik78. These are also interesting, but have less diverse SLs. Random soups usually exhibit infinite growth, which is mostly limited to linear replicators and puffers, behaving nicely enough to be apgsearchable.

The basic replicator, which can also be viewed as a p4 gun:

Code: Select all

x = 8, y = 7, rule = B2ac3q5-i67/S03i45-q6-ac78
2$3bo$3bo!

Guns and eaters:

Code: Select all

x = 81, y = 55, rule = B2ac3q5-i67/S03i45-q6-ac78
13$25bo$24b3o$17bo7bobo$16b3o$17bo4bo9bo9bo9bo9bo$20bo3bo9bo9bo9bo9bo$
20bo3bo9bo9bo9bo7bo$17bo4bo9bo9bo9bo11bo$16b3o43bobo$17bo7bobo33b3o$
24b3o35bo$25bo9$33bo$32b3o$17bo15bobo$16b3o$17bo3bo2bo3bo17bo$18bobobo
3bo3bo17bo$18bobobo3bo3bo17bo11bo5bo$17bo3bo2bo3bo17bo$16b3o41bobo3bo$
17bo15bobo25b3o$32b3o27bo$33bo!

AND-NOT:

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x = 148, y = 109, rule = B2ac3q5-i67/S03i45-q6-ac78
24$49bo$48b3o$33bo15bo$32b3o15bo$33bo5bo2bo3bo7bo17bo17bo$37bo3bobobo
9bobo15bobo15bobo$37bo3bobobo9bobo15bobo15bobo$33bo5bo2bo3bo7bo17bo17b
o$32b3o15bo49bo$33bo15bo49b3o$48b3o49bo$49bo7$80b2o2$79bo2bo16$80b2o2$
79bo2bo3$77bo6bo$76bo8bo$75b3o6b3o$76bo8bo2$79bo2bo2$80b2o2$79bo2bo2$
80b2o2$80b2o$79bo2bo$80b2o2$78bob2obo$77b3o2b3o$78bo4bo!

A stable reflector that also proves existence of all oscillator periods >=17 :

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x = 84, y = 68, rule = B2ac3q5-i67/S03i45-q6-ac78
10$60bo4bo$59b3o2b3o$60bo4bo13$62b2o2$61bo2bo3$60bobo13$62b2o2$61bo2bo
3$60bobo4$32bo35bo$31b3o33b3o$16bo15bo35bo$15b3o15bo$16bo3bo4bo17bo17b
o$18bo3bobobobo15bobo15bobo4bo$18bo3bobobobo15bobo21b3o$16bo3bo4bo17bo
20bo2b3o$15b3o15bo28bobob3o$16bo15bo28b3o3bo$31b3o28bo$32bo27bo!

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x = 338, y = 221, rule = B2ac3q5-i67/S03i45-q6-ac78
68$193bo98bo$192bob98obo$193b100o$193b100o$193b100o$193b100o$193b100o$
193b100o$193b100o$193b100o$193b100o$193b100o$193b100o$193b85ob14o$193b
80ob3o3b13o$154bo38b79o3b3o3b12o$149bo3b3o37b23ob56ob3obo3b11o$148b3o
3b3o36b18ob3o3b62ob12o$92bo56bo5b3o35b17o3b3ob62ob13o$87bo3b3o62bo36b
16o3b5ob9ob15ob17ob15ob15o$86b3o3bo66bo33b15o3b13obob14ob16obob14ob5ob
11o$85b3o7bo15bo17bo15bo14bo32b16ob4ob2ob6obob3ob10ob4ob11obob3ob10ob
4o3b10o$84b3o5bobo14bo16bobo14bo13bo35b17ob4o2b10obobob11ob17obobob11o
b3ob11o$85bo6bobo3bo10bo4bo11bobo3bo10bo4bo7b3o34b37ob15ob17ob15ob12o$
95bobobo11bo17bobobo11bo7b2o2bo35b17ob4o2b76o$98bo15bo17bo15bo44b16o3b
81o$86bo65bo2bo37b17ob82o$85b3o5bo99b100o$86bo5bobo98b100o$93bo57bobo
39b100o$193b84o2b14o$90bo2bo99b100o$91b2o100b83ob2ob13o$193b100o$91b2o
100b100o$193b82obob15o$193b23obob74o$193b100o$193b100o$193b21ob2ob75o$
193b100o$153b2o38b22o2b76o$193b100o$153b2o38b100o$152bo2bo37b100o$193b
90ob9o$92bobo57bo40b89o3b8o$151bobo5bo33b84o2b4ob9o$152bo5b3o32b20ob
15ob17ob15ob29o$90bo2bo65bo33b19ob3ob11obobob17ob11obobob10o2b4ob9o$
97bo15bo17bo15bo45b18o3b4ob10ob3obob11ob4ob10ob3obob6ob2ob4ob8o$88bo2b
2o7bo11bobobo17bo11bobobo42b19ob5ob14obob16ob14obob13o3b7o$87b3o7bo4bo
10bo3bobo11bo4bo10bo3bobo6bo32b23ob15ob17ob15ob9ob5o3b8o$88bo13bo14bob
o16bo14bobo5b3o31b21ob62ob3o3b9o$85bo14bo15bo17bo15bo7b3o32b20ob62o3b
3ob10o$86bo66bo3b3o33b19o3bob3ob56ob15o$89bo62b3o3bo34b20o3b3o3b71o$
88b3o5bo56bo39b21o3b3ob72o$89b3o3b3o95b22ob77o$90b3o3bo96b100o$91bo
101b100o$193b100o$193b100o$193b100o$193b100o$193b100o$193b100o$193b
100o$193b100o$193b100o$193b100o$193b100o$193b100o$193b100o$193b100o$
193b100o$193b100o$193b100o$193b100o$193b100o$192bob98obo$193bo98bo!

A potentially useful signal transformer:

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x = 185, y = 43, rule = B2ac3q5-i67/S03i45-q6-ac78
13$26bo52bo$25b3o50b3o$10bo15bobo48bobobo$9b3o$10bo6bo3bo3bo3bo17bo17b
o13bo3bo13bo3bo17bo17bo17bo17bo$13bobo3bo3bo7bo17bo17bo13bo3bo13bo3bo
17bo17bo17bo17bo$13bobo3bo3bo7bo17bo17bo13bo3bo13bo3bo17bo17bo17bo17bo
$10bo6bo3bo3bo3bo17bo17bo17bo13bo3bo17bo17bo17bo17bo$9b3o$10bo15bobo
50bo2bo28bo$25b3o50b3o$26bo50b3o29bo3bo$78bo29b3ob3o$107b3o3b3o$108bo
2bo2bo$110b3o$111bo!

Rakes:

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x = 59, y = 70, rule = B2ac3q5-i67/S03i45-q6-ac78
7$17b2o2$16bo2bo4$10bobo10b2o$13bobo$13bobo6bo2bo$12bo5bo$20bo$14bo5bo
$18bo10b2o2$18bo5bo8bo$30bo2bo$31bo$25bo5bo$24bobo3bo2bo$25bo7bo2$34bo
$34bo$32bo14$26bo4bo$27bobo3bo$23bobobobo3bo$23bo2bo$27bo2bobo$26bo3bo
bo$29bo!

Puffers:

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x = 506, y = 345, rule = B2ac3q5-i67/S03i45-q6-ac78
39$315bo4bo$316bobo3bo$313bo2bobo3bo$320bo$312bo2bobo$315bobo$314bo$
305bo4bobo$310bobo$309bo21$230b2o2$230b2o$229bo2bo3$236b2o2$236b2o$
235bo2bo3$242b2o2$242b2o$231bo5bo7bobo$245bobo$245bo$245bo$245bobo$
245bobo2$246bobo$246bobo$245bo35$167bo$168bobo$168bobo$167bo3$167b2o$
293b2o$166bo2bo$292bo2bo$445bo$293b2o118bo32bobo$173b2o237bobo31bobo$
292bo2bo5bo3bo3bo2bo3bo3bo3bo3bo2bo2bo3bo3bo4bo3bo3bo13bo15bo23bo3bo
15bo4bo10bo$166bo10bo122bobobobobobo3bo3bo3bo3bo3bobo3bo3bo3bobobobobo
bobobo49bo3bobo6bo4bobobobo7bo$174bo2bo113bob2o5bobobobobobo3bo3bo3bo
3bo3bobo3bo3bo3bobobobobobobobo6bo15bo23bo2bo4bo12bobobobo7bo2bo4bo$
175bo125bo3bo3bo2bo3bo3bo3bo3bo2bo2bo3bo3bo4bo3bo3bo13bo15bo20bo2bo32b
o5bo$169bo5bo117bo104bo15bo7bo23bo$170bobobo2bo253bo$163bo13bo119bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$170bo3bo258bo$169bo2bo258bo$170b2o2$
170b2o3$163bo2bo$164b2o2$164b2o2$166bo$168bo$168bo$166bo44$295bo$296bo
bo$296bobo$232bo3bo3bo3bo3bo3bo3bo5bo7bo7bo7bo8bo$234bo3bo3bo3bo3bo3bo
4bobo5bobo5bobo5bobo5bobo$259bobo5bobo5bobo5bobo5bobobobo$258bo3bo7bo
7bo7bo8bobo$294bo$262bo$260bo3bo$259bo4bo$258bo3bo$259bo$88bo$89bobo$
89bobo$88bo2$78bobobobobo3bo$90bo$88bo37$373bo$367bo7bo$348bobo9bobo3b
obo6bo$347bobobo7bobobo3bo$348bobo9bobo9bobo$341bo30bobo$335bo6bobo$
342bobo25bo2bobo$341bo31bobo$372bo8$124bo$125bobo$120bo4bobo$122bo27bo
2bo$152bobobo$148bo3bobobo$120bo5bo26bo$122bo3bo20bo3bo$124bo26bo$149b
o$124bo3bo3bo3bo3bo5bo$146bo$125bo18bo$127bo$127bo$125bo!

Natural infinitely extendable and corderized spaceships:

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x = 129, y = 94, rule = B2ac3q5-i67/S03i45-q6-ac78
3$18bo3bo3bo3bo3bo3bo$20bo3bo3bo3bo3bo3bo$20bo3bo3bo3bo3bo3bo$18bo3bo
3bo3bo3bo3bo10$37bo$38bobo$22bo3bo3bo3bo3bobo$19bobobobobobobobobobo$
22bo3bo3bo3bo15$36bobo$39bobo$39bobo31bo$75bo$75bo$8bo3bo3bo3bo3bo3bo
3bo3bo3bo7bo7bo7bo8bo$10bo3bo3bo3bo3bo3bo3bo3bo7bo7bo7bo7bo$10bo3bo3bo
3bo3bo3bo3bo3bo7bo7bo7bo7bo3bo$8bo3bo3bo3bo3bo3bo3bo3bo3bo7bo7bo7bo9bo
$72bo2$39bobo$39bobo$36bobo13$4bobo$7bobo$7bobo84bo$6bo5bo75bo7bo$14bo
54bobo9bobo3bobo6bo$10bo3bo53bobobo7bobobo3bo$12bo56bobo9bobo9bobo$62b
o30bobo$20bo11bo11bo11bo6bobo$63bobo25bo2bobo$62bo31bobo$93bo!

By far, oscillators are found of periods 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 16 (>-17 are covered by reflector loops). I did not look systematically for oscillators yet.

Code: Select all

x = 387, y = 141, rule = B2ac3q5-i67/S03i45-q6-ac78
17$59bo$57b2obo$57b3o$56bob2o$57bo3$251bo$190bobo79bobo$80bo110b3o54bo
5bo18b3o$79b3o106bob3o54b3obob3o16b3o63bo13bo$80bo108b3o56bobobobo16b
3o30bo6bo33bo$57bo19bo5bo19bo84b3o39bo4bo13bo3bo14bob3o36bo27bo3bobo3b
obo3bo$76bo3bo3bo40bo16bobo42b3o18bo5bo17bo12bo2bo2bo2bo2bo11b3o31bo2b
obo3bo28bobo3bobo$55bo3bo43bo37b3o42b3o18b3obob3o13bo3bo2bo12bo3bo14b
3o35bobo36bo$54b3ob3o13bo5bo5bo38bo16b3o40b3o20bo5bo18bo14bobobobo12b
3o39bo$55bobobo13b3obob3obob3o15bo20b3o16b3o36bob3o45bo14b3obob3o10b3o
$74bo5bo5bo38bo18bo38b3o62bo5bo12bo$57bo124b3o26bo$76bo3bo3bo98bo67bo$
77bo5bo$80bo$79b3o$80bo63bo$59bo43bobo36b2ob2o$57b2o2bo42b3o17b3o14b2o
bob2o$54bobob3o42b3o18b3o14bob3obo64bo$55b3ob3o40b3o19b3o13bob2ob2obo$
53bob2o3b2obo37b3o37bob3obo$55b3ob3o40bo38b2obob2o61bobobobo$56b5o18bo
62b2ob2o61b3obob3o$57b3o18bobo63bo64bobobobo55bobobo$79bo192b3o$58bo
19b3o188bobobobobo$75bob5obo128bo57bob3obo$74bob7obo184b9o$75bob5obo
18bobo165bob3obo$78b3o22bo165bobobobobo$79bo21b2ob2o35bo2bo2bo124b3o$
78bobo18bob5obo34bo3bo124bobobo$56bo22bo20bobobobo31bo3bo3bo3bo$57b2o
40bob5obo33bo2bo2bo$56b3o42b2ob2o$57bobo43bo32bo2bo9bo2bo$102bobo32b2o
11b2o2$76bo5bo53bo2bo9bo2bo$75bo7bo$74b3obobob3o52b2o11b2o$75bo7bo52bo
2bo9bo2bo$56bo2bo16bo5bo$141bo2bo2bo$55bo2bobo77bo3bo3bo3bo$58bo83bo3b
o$102bobo36bo2bo2bo$103bo$101b2ob2o$72bobo7bobo14bob5obo$58bo12b3o3bob
o3b3o14bob3obo$57bo14bobo7bobo14bob5obo$56b3o42b2ob2o$57bo45bo$102bobo
$140bo9bo$142bo5bo$139bo4bobo4bo$144bobo$74bo5bo61bo5bo$56bo16b3o3b3o
20bo$57bobo14b7o$56b3o16b5o21bobo$55bobo17b5o21b3o$58bo16b5o19b7o$74b
7o16bo2b2ob2o2bo$73b3o3b3o17b7o$74bo5bo20b3o$101bobo2$57bo44bo2$56bobo
$55bobobo$53bo2b3o2bo$55bobobo$56bobo2$57bo3$104bo2$100b4o$100b4o$100b
4o$100b4o$98bo!

Replicator-based oscillators are easy to construct and they commonly appear in D8_1 searches:

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x = 349, y = 418, rule = B2ac3q5-i67/S03i45-q6-ac78
51$192bo$190bo7$192b2o2$191bo2bo2$192b2o2$191bo2bo2$175bo16b2o$184bo3b
o8bo3bo$174bo7bo3bo3bo4bo3bo3bo$182bo3bo3bo4bo3bo3bo7bo$184bo3bo8bo3bo
$192b2o16bo2$191bo2bo2$192b2o2$191bo2bo2$192b2o7$190bo$192bo13$202bo5b
o$117bo24bo14bo39bo3bobo3bobo3bo$123bo3bo5bo3bo3bobo3bo3bo42bobobobobo
bobobobobobobo$116bo3bobobobobobobobobobobobobobobobobobo3bo34bo2bobob
obobobobobobobo2bo$120bobobobobobobobobobobobobobobobobobo42bo3bobo3bo
bo3bo$123bo3bo5bo3bo3bobo3bo3bo41b2o7bo5bo7b2o$142bo49bo2bo19bo2bo$
193b2o21b2o2$193b2o21b2o$192bo2bo19bo2bo$191bob2obo17bob2obo$192bo2bo
19bo2bo$193b2o21b2o2$193b2o21b2o$192bo2bo19bo2bo$191bob2obo17bob2obo$
192bo2bo19bo2bo$100bo74bo17b2o21b2o$104bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o4bo3bo3bo3bo$99bobobobobobobobobobobobobobobobobobobobobobobobobo3bo
3bo3bo3bo12bo16b2o21b2o$101bobobobobobobobobobobobobobobobobobobobobob
obobo3bo3bo3bo3bo28bo2bo19bo2bo$104bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo4bo
3bo3bo3bo31b2o7bo5bo7b2o$197bo3bobo3bobo3bo$193bo2bobobobobobobobobobo
2bo$194bobobobobobobobobobobobo$197bo3bobo3bobo3bo$202bo5bo69$96bo3bo
4bo3bo2bo3bo3bo3bo2bo3bo2bo3bo3bo3bo2bo3bo4bo3bo$94bo3bo3bobobobobo3bo
3bo3bo3bobobobo3bo3bo3bo3bobobobobo3bo3bo$94bo3bo3bobobobobo3bo3bo3bo
3bobobobo3bo3bo3bo3bobobobobo3bo3bo$96bo3bo4bo3bo2bo3bo3bo3bo2bo3bo2bo
3bo3bo3bo2bo3bo4bo3bo34$58b2o139b2o2$57bo2bo137bo2bo2$58b2o139b2o2$57b
o2bo137bo2bo2$58b2o139b2o2$58b2o139b2o$57bo2bo137bo2bo$58b2o139b2o2$
58b2o139b2o$57bo2bo137bo2bo$58b2o139b2o2$57bo2bo137bo2bo2$58b2o139b2o
2$57bo2bo137bo2bo2$58b2o139b2o2$57bo2bo137bo2bo2$58b2o139b2o2$57bo2bo
137bo2bo2$58b2o139b2o$57bo2bo137bo2bo$58b2o139b2o2$58b2o139b2o$57bo2bo
137bo2bo$58b2o139b2o2$57bo2bo137bo2bo2$58b2o139b2o2$57bo2bo137bo2bo2$
58b2o139b2o2$57bo2bo137bo2bo2$58b2o139b2o2$57bo2bo137bo2bo2$58b2o139b
2o$57bo2bo137bo2bo$58b2o139b2o2$58b2o139b2o$57bo2bo137bo2bo$58b2o139b
2o2$58b2o139b2o2$57bo2bo137bo2bo2$58b2o139b2o2$57bo2bo137bo2bo2$58b2o
139b2o34$96bo3bo4bo3bo2bo3bo3bo3bo2bo3bo2bo3bo3bo3bo2bo3bo4bo3bo$94bo
3bo3bobobobobo3bo3bo3bo3bobobobo3bo3bo3bo3bobobobobo3bo3bo$94bo3bo3bob
obobobo3bo3bo3bo3bobobobo3bo3bo3bo3bobobobobo3bo3bo$96bo3bo4bo3bo2bo3b
o3bo3bo2bo3bo2bo3bo3bo3bo2bo3bo4bo3bo!

A couple of discoveries in related rules:

Code: Select all

x = 81, y = 46, rule = B2acn3q5-i67/S03i45-q6eik78
7$31bo$10bo19b3o$9b3o19bo2bo$10bobo$13bo3bo3bo3bo3bo7bo7bo7bo7bo7bo$
15bo3bo3bo3bo3bo7bo7bo7bo7bo7bo$15bo3bo3bo3bo3bo7bo7bo7bo7bo7bo$13bo3b
o3bo3bo3bo7bo7bo7bo7bo7bo7bo$10bobo63b3o$9b3o19bo2bo42bo$10bo19b3o42bo
$31bo4$19bo$10bo7b3o$9b3o7bo2bo$10bo$11bo3bo7bo7bo7bo7bo7bo7bo7bo$12bo
bobobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo$12bobobobo5bobo5bobo5bobo5bo
bo5bobo5bobo5bobo$11bo3bo7bo7bo7bo7bo7bo7bo7bo5bo$10bo65b3o$9b3o7bo2bo
54bo$10bo7b3o54bo$19bo!

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x = 138, y = 51, rule = B2ac3cq5-i67/S03i45-cq6-ac78
13$70bo59bo$129b3o$72bo29bo25b2ob2o$71b3o27b3o25b3o$72bo29bo25bobobo$
16bo56bo$14bo18bo3bo3bo3bo3bo3bo3bo3bo2bo3bo3bobo3bo3bo3bo3bo3bo3bo3bo
27bo$13b3o14bobobobobobobobobobobobobobobobobo3bo3bo5bo3bo3bo3bo3bo3bo
3bo3bo$12b2ob2o13bobobobobobobobobobobobobobobobobo3bo3bo5bo3bo3bo3bo
3bo3bo3bo3bo$13b3o17bo3bo3bo3bo3bo3bo3bo3bo2bo3bo3bobo3bo3bo3bo3bo3bo
3bo3bo27bo$14bo58bo$16bo55bo29bo25bobobo$71b3o27b3o25b3o$72bo29bo25b2o
b2o$129b3o$70bo59bo!

This self-corderizing ship appeared naturally in D8_1 search:

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x = 11, y = 58, rule = B2acn3cq5-i67/S03i45-cq6eik78
o2bo3bo2bo2$b2o5b2o$o2bo3bo2bo$b2o5b2o2$b2o2bo2b2o$o2bo3bo2bo$b2o5b2o2$b2o5b
2o$o2bo3bo2bo$b2o2bo2b2o2$b2o5b2o4$5bo6$5bo6$5bo6$5bo5$4bobo$5bo2$5bo3$3b5o2$
5bo2$o4bo4bo2$b2o2bo2b2o2$o2bo3bo2bo2$b2o5b2o!

[breaker's glider gun]

Ugh. 2 Photons --> double wickstretcher+rake.

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x = 4, y = 45, rule = B2ac3q5-i67/S03i45-q6-ac78
o2bo2$b2o40$b2o2$o2bo!

[Yoel]

P13:

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x = 25, y = 25, rule = B2ac3q5-i67/S03i45-q6-ac78
12bo3$10bobobo$11b3o$6bo5bo5bo$5b3o9b3o$6b3o7b3o$7bo9bo$11b3o$3bo6b5o6bo$4bo
4b3ob3o4bo$o2b3o3b2o3b2o3b3o2bo$4bo4b3ob3o4bo$3bo6b5o6bo$11b3o$7bo9bo$6b3o7b
3o$5b3o9b3o$6bo5bo5bo$11b3o$10bobobo3$12bo!

Natural self-corderizing ships:

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x = 78, y = 45, rule = B2ac3q5-i67/S03i45-q6-ac78
22$53bo$37bo17bo$38bobo10bo3bo$38bobo5bo$37bo8bo7bo$46bo7bo$48bobobo$
53bobo$53bobo$52bo!

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x = 36, y = 21, rule = B2ac3q5-i67/S03i45-q6-ac78
12bo$14bo$8bobo3bo$6bo$4bo7bo$4bo3bo3bo$8bo23bo$o32bobo$12bo3bo3bo3bo3bo4bobo
4$12bo3bo3bo3bo3bo4bobo$o32bobo$8bo23bo$4bo3bo3bo$4bo7bo$6bo$8bobo3bo$14bo$
12bo!

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x = 34, y = 21, rule = B2ac3q5-i67/S03i45-q6-ac78
5$26bo$28bo$28bo$17bo8bo$14bobobobobo$6bobo2bo2bobobobobobobobo$17bo8b
obo$6bo3bo14bo$10bo$8bo!

[Yoel]

P7:

Code: Select all

x = 19, y = 19, rule = B2ac3q5-i67/S03i45-q6-ac78
bo2bo9bo2bo$3o13b3o$b3o11b3o$2b2ob9ob2o$o3b11o3bo$3b6ob6o$3b13o$3b13o$3b13o$
3b2ob3ob3ob2o$3b13o$3b13o$3b13o$3b6ob6o$o3b11o3bo$2b2ob9ob2o$b3o11b3o$3o13b3o
$bo2bo9bo2bo!

[Yoel]

An interesting natural p16:

Code: Select all

x = 6, y = 4, rule = B2ac3q5-i67/S03i45-q6-ac78
3b3o$ob4o$2b4o$2b4o!

[Yoel]

Omniperiodicity proven by replicators loops and existence of guns for all periods equal or greater than 38:

Code: Select all

x = 512, y = 422, rule = B2ac3q5-i67/S03i45-q6-ac78
87$79bo$78bob2o$79b3o$79b2obo$81bo239bo3$213bo59bo21bo23bobobo$214bo
56bo3bo20bo23b3o$102bo110b3o54bo5bo16bob3o17bo5bo5bo$101b3o108b3o18bo
35b3obob3o16b3o17b3o9b3o$102bo77bo2bo9bo2bo12bob3o54bobobobobobo12bob
3o19b3o3bo3b3o$79bo21bobo21bo39bo13b3o13b3o12b3o20bo18bo4bo13bo3bo16b
3o21bo2bo3bo2bo19bo6bo32bobobo$102bo21bobo37bo15b3o11b3o12b3o18bo5bo
30bo2bo2bo2bo2bo9bob3o26b3o26bo37b3o20bo13bo$77bobobo19bobo21bo20bobo
14b3obo13b2ob9ob2o12b3o18b3obob3o13bo2bobobo12bo3bo14b3o19bo4bob5obo4b
o14bobo6bo30bo2bo2bo22bo2bo2bo$76b3ob3o13bobobobobobobo15bobo20bo16b3o
12bo3b11o3bo7bob3o20bo5bo17bobo11bobobobobobo10b3o21bo4b3ob3o4bo17bo
61bo2bo3bobo3bo2bo$77bo3bo13b3obob3obob3o15bo20b3o16b3o14b6ob6o11b3o
22bobobo33b3obob3o10b3o18bo2b3obob2o3b2obob3o2bo15bo33bo9bo18bo3bobo3b
o$96bobobobobobobo38bo18bo15b13o8bob3o62bo5bo12bo23bo4b3ob3o4bo51bo5bo
bo5bo18bo2bo2bo$79bo21bobo78b13o9b3o64bo3bo36bo4bob5obo4bo51bo3bobobo
3bo$102bo79b13o10bo67bo46b3o58b3o3b3o3b3o$101bobo78b2ob3ob3ob2o121bo2b
o3bo2bo55bo3bobobo3bo$102bo79b13o120b3o3bo3b3o53bo5bobo5bo$101b3o78b
13o119b3o9b3o54bo9bo$102bo23bo20bo16bo3bo13b13o120bo5bo5bo$79bo47bo37b
obo14b6ob6o125b3o62bo2bo2bo$77bo2b2o42bob3o18bo14bob5obo8bo3b11o3bo
121bobobo63b3o$78b3obobo40b3o16bob3obo12b7o11b2ob9ob2o190bobobo$77b3ob
3o40b3o20bo16b2ob2o11b3o11b3o36bobo$75bob2o3b2obo37b3o37b7o9b3o13b3o
36bo86bo30bo$77b3ob3o40bo22bo14bob5obo9bo2bo9bo2bo34bo5bo115bo$78b5o
82bobo45bo16b3obob3o55bobo55b3o$79b3o82bo3bo62bo5bo57bo55b3obo62bobobo
$99bobobo107bobobo18bo59b3o53b3o59bo5bobobo5bo$80bo17bobobobo128bobo
35bo5bo16b3o52b3o37bo$99b5o107bobobo31bo2bo3bo2bo12b3o3b3o11bob3ob3obo
47b3o$98bob3obo20bo122bo3bo3bo14bo5bo13b3obob3o49bo35bo7bo$99b5o43bo
63bobobo32bo3bo3bo15bo3bo13bob3ob3obo$98bobobobo20bo22bobo96bo2bo3bo2b
o16bo19b3o85b7ob7o$99bobobo20b3o18bob3o16bo46bo80b3o84b3ob9ob3o13b2o
15b2o$123b5o20bobo14bobo74bo2bo13bo2bo32bo25bo58b9ob9o$80bo39bob3ob3ob
o16bo12bo4bobo4bo70b2o15b2o32bobo83b19o12b2o15b2o$77bobobo41b5o38bo
213bob15obo$78b3o43b3o115bo2bo13bo2bo115bob19obo10b2o15b2o$79bo45bo
195bo58b19o$80bo162b2o15b2o87bo2bo3bo3bo2bo16b19o$125bo33b2o11b2o52bob
obo85bo9bo23bo3bo3bo3bo17b19o$158bo2bo9bo2bo50bo5bo10bo2bo13bo2bo11bo
40b3ob5ob3o22bo3bo3bo3bo13bo4bob6ob6obo4bo$97bo3bo3bo53b2o11b2o50b3obo
b3o39bo3bo39b11o22bo2bo3bo3bo2bo16b19o$96b3obobob3o118bo5bo11b2o15b2o
9bo5bo39b4ob4o54b19o13bo5bobobo5bo$97bo3bo3bo122bo13bo2bo13bo2bo7b3obo
b3o37b11o53b19o19bobobo$78bo2bo145bobo39bobobobobobo36b11o51bob19obo$
145bobobo16bo80bo2bo3bo2bo14bo3bo32bo3bo2b2ob2ob2ob2o2bo3bo8bo2bo21bo
2bo9bob15obo$77bobo2bo60bo2b3o2bo8bo4bobo4bo75bo3bo3bo11bo2bo5bo2bo35b
11o16b2o23b2o10b19o$79bo45bo19bobobo15bobo80bo3bo3bo15bo3bo16bobobo18b
11o53b9ob9o$166bo80bo2bo3bo2bo11bobobobobobo14b3o20b4ob4o16bo2bo21bo2b
o10b3ob9ob3o$125bo144b3obob3o12bobobobobo16b11o55b7ob7o$95bo9bo18b3o
144bo5bo14bob3obo16b3ob5ob3o15b2o23b2o$94bo5bo5bo16b5o144bo3bo14b9o16b
o9bo58bo7bo$93b3obobobobob3o12bob7obo143bo17bob3obo43bo2bo21bo2bo$79bo
bo12bo5bo5bo16b5o163bobobobobo21bo67bo$78b3o14bo9bo18b3o167b3o46b2o23b
2o$79bo45bo167bobobo$342bo2bo21bo2bo$125bo19bo16bo9bo148bo$144b3o17bo
2bo2bo172b2o23b2o$142bo2bo2bo12bo3bo3bo3bo168bo2bo21bo2bo$165bo3bo$96b
o5bo37bo9bo13bo2bo2bo$80bo14b3o3b3o20bo19bobo$77bobo16b2obob2o36bo3bob
obo3bo123bo73bo2bo3bo3bo2bo$78b3o17b3o21bo3bo11b3o3b3o3b3o120bo3bo72bo
3bo3bo3bo$79bobo15b5o19b7o11bo3bobobo3bo120bo5bo14bobobo52bo3bo3bo3bo$
78bo19b3o21b5o17bobo124b3obob3o14bobo26bo25bo2bo3bo3bo2bo$96b2obob2o
16bo2b2ob2o2bo10bo9bo119bobo5bobo12b5o$95b3o3b3o18b5o164bob2ob2obo23bo
$96bo5bo18b7o14bo2bo2bo120bo2bo2bo2bo2bo11b5o24b3o$122bo3bo17b3o147b3o
22bob2ob2obo$145bo124bobo5bobo14bo24b7o$79bo44bo146b3obob3o39b9o$272bo
5bo16bo22b11o$273bo3bo39b13o$78b3o194bo40b15o$75bo2b3o2bo229bob17obo$
78b3o233b19o$167bo145b21o$166b3o143b23o$79bo15bo9bo58bo2bo2bo138bob2ob
19ob2obo23bo3bo$94bo3b5o3bo41bo163b23o24bo2b3o2bo$93b3ob3ob3ob3o35bo3b
3o17bobo143b21o26b7o$94bo3b5o3bo19bo15b3ob3o16bo2bo145b19o24bob4ob4obo
$95bo9bo16bo2bo17bo3bo18b2o145bob17obo24b2ob5ob2o$121bob2obo18bo127bo
3bo38b15o24bobob9obobo$122b4o39bo103bo11bo35b13o24bob5ob3ob5obo$122b4o
43bo100bob7obo15bo21b11o26b8ob8o$121bob2obo38bobo99bob13obo35b9o24bob
19obo$120bobo2bo40b3o99b3ob7ob3o11bobobo21b7o26bob17obo$167bo101bo3b5o
3bo11bo5bo19bob2ob2obo22bob23obo$77b5o186b3ob7ob3o11bo3bo23b3o26b2ob
19ob2o$77b5o184bob15obo8b3ob3o23bo25bob4ob7ob7ob4obo$77b5o186b15o11bo
3bo51b27o$77b5o186b15o13bo26bo26b2ob3ob4ob3ob4ob3ob2o$77b5o186b15o67b
27o$266bob15obo64bob4ob7ob7ob4obo$268b3ob7ob3o68b2ob19ob2o$269bo3b5o3b
o68bob23obo$268b3ob7ob3o70bob17obo$267bob13obo68bob19obo$270bob7obo74b
8ob8o$269bo11bo72bob5ob3ob5obo$78bo194bo3bo77bobob9obobo$358b2ob5ob2o$
76bobobo276bob4ob4obo$360b7o$74bobobobobo276bo2b3o2bo$73b3ob3ob3o277bo
3bo$74bobobobobo2$76bobobo240bo$320b3o$78bo240b3o6bobo$316bo3bo$319b2o
$316bo12bobo$329b4o$331b3o$332bo3$315bo$314b3o$315b4o$316bobo12bo$327b
2o40bo$327bo3bo36b3o$317bobo6b3o40b3o$325b3o42bo$326bo31b2obo9bo$357bo
13bo$356b3o2bo9bo$355b3o4bo6bo$356bo3$375bo$362bo6bo4b3o$360bo9bo2b3o$
360bo13bo$360bo9bob2o$361bo$360b3o$361b3o$362bo7$210bo$208bo6$210b2o2$
210b2o$209bo2bo$210b2o2$210b2o$209bo2bo$210b2o$193bo$202bo3bo3b2o3bo3b
o$192bo6bobobobobobo2bobobobobobo$199bobobobobobo2bobobobobobo6bo$202b
o3bo3b2o3bo3bo$228bo$210b2o$209bo2bo$210b2o2$210b2o$209bo2bo$210b2o2$
210b2o6$208bo$210bo14$135bo39bo39bo4bo5bo4bo$139bo3bo3bo2bo2bo3bo2bo2b
o3bo49bobobobobobobo$134bo2bo3bo3bo3bobo3bo3bobo3bo3bo6bo36bo3bobobobo
bobobo3bo$137bo3bo3bo3bobo3bo3bobo3bo3bo42bo2bo4bo5bo4bo2bo$139bo3bo3b
o2bo2bo3bo2bo2bo3bo$210bo2bo19bo2bo2$211b2o21b2o2$211b2o21b2o$210bo2bo
19bo2bo$211b2o21b2o2$211b2o21b2o2$211b2o21b2o$210bo2bo19bo2bo$211b2o
21b2o$118bo74bo$134bo3bo3bo3bo4bo3bo3bo3bo3bo3bo3bo3bo3bo3bo23b2o21b2o
$117bo14bo3bo3bo3bo3bobobobobobobobobobobobobobobobobobobobobobo3bo$
132bo3bo3bo3bo3bobobobobobobobobobobobobobobobobobobobobobo19bo2bo19bo
2bo$134bo3bo3bo3bo4bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$212bo2bo4bo5bo4bo2bo$
213bo3bobobobobobobo3bo$217bobobobobobobo$215bo4bo5bo4bo!

Code: Select all

x = 143, y = 151, rule = B2ac3q5-i67/S03i45-q6-ac78
21$62bo$61b3o$62bo19$52bo$51b3o10bo$52bo10b3o$64bo$53bo$52b3o8bo$53b3o
6b3o$54bo5bo2bo$56b2ob3o26bo$60b3o24b3o$56b2o3bo24b3o12bo$55bo2bo28bo
9bo2b3o$86bo9b3o2bo$50bo35bo8b3o$49b3o17bo16bo9bo$50b3o17bobo15bo$51bo
18bobo26b2o7bo$69bo40bo$94bo4b2o9bo$93b3o2bo2bo6bo$92b3o27bo$93bo2bo4b
o19b3o$95b3o2bo21bo$96bo2b3o$100bo7$43bo$42b3o2bo$21bo21bo2b3o$20b3o
19bo4bo2bo$21bo27b3o$35bo6bo2bo2b3o$33bo9b2o4bo$33bo40bo$35bo7b2o26bob
o18bo$55bo15bobo17b3o$47bo9bo16bo17b3o$46b3o8bo35bo$42bo2b3o9bo$41b3o
2bo9bo28bo2bo$42bo12b3o24bo3b2o$54b3o24b3o$55bo26b3ob2o$80bo2bo5bo$79b
3o6b3o$80bo8b3o$90bo$79bo$78b3o10bo$79bo10b3o$91bo19$81bo$80b3o$81bo!

Some other guns:

Code: Select all

x = 386, y = 212, rule = B2ac3q5-i67/S03i45-q6-ac78
21$176bo$175b3o$176bo$173bo8bobo$172b3o10bo$173bo8bob3o$82bo95bo6bo$
81b3o90bo4bo$74bo7bobo88b3o8bo$73b3o98b3o6b3o$74bo4bo9bo9bo9bo9bo55bo
5bo2bo$77bo3bo9bo9bo9bo9bo58b3o6bo$77bo3bo9bo9bo9bo7bo61b3o4b3o$74bo4b
o9bo9bo9bo11bo60bo4b3o12bo$73b3o43bobo64bobo9bo2b3o$74bo7bobo33b3o65bo
10b3o2bo$81b3o35bo51bo24b3o$82bo87b3o4bo8bobo8bo$171b3o2bo12bo10b2o$
172bo36bo$164bo8b2obo22bo2bo7bobo$163b3o2bo26bo14bobo76bo$162bobo2b3o
24b3o12bo75bo2b3o$168bo2bo21b3o5bobo33bo46b3o2bo$162bobo5b3o21bo2bo38b
3o44b3o$169b3o24b3o2bobo33bo46bo$90bo79bo26bo2b3o$89b3o74bo22bob2o8bo$
74bo15bobo72bo27bo$73b3o84bo15bo12bo2b3o$74bo5bo4bo11bo17bo43b3o6bo8bo
bo8bo4b3o$77bobobobo15bo17bo42bo6b3o24bo$77bobobobo15bo17bo45bo2b3o10b
o$74bo5bo4bo11bo17bo46b3o2bo9bobo$73b3o43bo43bo12b3o4bo$74bo15bobo25b
3o54b3o4b3o$89b3o27bo56bo6b3o$90bo90bo2bo5bo$180b3o6b3o$181bo8b3o$186b
o4bo$180bo6bo$179b3obo8bo$180bo10b3o$181bobo8bo$189bo$188b3o$189bo9$
72bo44bo$71b3o42b3o$54bo17bo41bo2bo163bo$53b3o15bo208b3o4b2o4bo$54bo3b
o3bo3bo6bo29bo5bo171bo10b3o$56bo3bo3bo3bobo3bobo27bobo3bobo174b2o4bo$
56bo3bo3bo3bobo3bobo27bobo3bobo169bo3bo2bo$54bo3bo3bo3bo6bo29bo5bo8bo
2bo159b3o3b2o3bo$53b3o15bo45b3o162b3o6b3o$54bo17bo43b3o164bo4b2o2bo$
71b3o43bo170b3o9bo$72bo216b3o7b3o$290bo7b3o12bo$299bo9bo2b3o$308b3o2bo
$279bo27b3o38bo$278b3o27bo38b3o$279b3o66b3o$280bo29bo38bo$309bobobo$
306b2obobobo36bo$305b3o2bo38b3o$272bo31b3o43bo$271b3o2bo28bo2bo$272bo
2b3o29b3o2bo$74bo70bo130bo2bo28bo2b3o$73b3o68b3o87bo43b3o31bo$54bo19bo
67bo2bo87b3o38bo2b3o$53b3o17bo160bo36bobobob2o$54bo3bo4bo3bo11bo5bo33b
o5bo145bobobo$56bo3bobobobo13bobo3bobo31bobo3bobo106bo38bo29bo$56bo3bo
bobobo13bobo3bobo31bobo3bobo105b3o66b3o$54bo3bo4bo3bo11bo5bo33bo5bo20b
o2bo85b3o38bo27b3o$53b3o17bo71b3o88bo38b3o27bo$54bo19bo69b3o124bo2b3o$
73b3o69bo124b3o2bo9bo$74bo196bo12b3o7bo$283b3o7b3o$284bo9b3o$292bo2b2o
4bo$291b3o6b3o$292bo3b2o3b3o$295bo2bo3bo$291bo4b2o$290b3o10bo$291bo4b
2o4b3o$303bo2$93bo102bo$92b3o100b3o$53bo39bo99bo2bo$52b3o37bo$53bo3bo
3bo3bo3bo3bo3bo3bo2bo73bo5bo$55bo3bo3bo3bo3bo3bo3bo3bobobo71bobo3bobo$
55bo3bo3bo3bo3bo3bo3bo3bobobo71bobo3bobo$53bo3bo3bo3bo3bo3bo3bo3bo2bo
73bo5bo32bo2bo$52b3o37bo103b3o$53bo39bo101b3o$92b3o101bo$93bo20$300bo$
299b3o$295bo2b3o$294b3o2bo$295bo!

[confocaloid]

Which spaceship speeds are known?

Here is a p4 orthogonal c/4 spaceship, found using qfind:

Code: Select all

#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/4o -w 9 -s odd
x = 128, y = 56, rule = B2ac3q5-i67/S03i45-q6-ac78:T128,72
128o$128o$128o$128o$128o$128o$128o$128o$34ob14ob4ob2ob70o$32ob2o4b3ob
3ob8ob2ob69o$30o4bo10b2o3bo3b7ob22o3b41o$29o2bo8bo2bo5bo4b2o2bo3b2ob3o
2bob15ob40o$28o5b4o3b6o6b2ob2o7b3obo2bob11o3bobob37o$27o2bob11obobobo
3b2ob3o7bobo5bob7obo5b3ob36o$31ob13ob2o2bob7o4bobo7bob8ob2ob2obob36o$
28o2bob15obob10o2b4o6b5o6bo2bo4bo3b33o$27o2bo4bob3o2bob3ob3ob10o2bobo
7b4o3bobob2obo3b4ob32o$28o2bob15obob10o2b4o6b5o6bo2bo4bo3b33o$31ob13ob
2o2bob7o4bobo7bob8ob2ob2obob36o$27o2bob11obobobo3b2ob3o7bobo5bob7obo5b
3ob36o$28o5b4o3b6o6b2ob2o7b3obo2bob11o3bobob37o$29o2bo8bo2bo5bo4b2o2bo
3b2ob3o2bob15ob40o$30o4bo10b2o3bo3b7ob22o3b41o$32ob2o4b3ob3ob8ob2ob69o
$34ob14ob4ob2ob70o$128o$128o$128o$128o$128o$128o$128o8$34bo14bo4bo2bo$
32bo2b4o3bo3bo8bo2bo$30b4ob10o2b3ob3o7bo22b3o$29b2ob8ob2ob5ob4o2b2ob3o
2bo3b2obo15bo$28b5o4b3o6b6o2bo2b7o3bob2obo11b3obobo$27b2obo11bobobob3o
2bo3b7obob5obo7bob5o3bo$31bo13bo2b2obo7b4obob7obo8bo2bo2bobo$28b2obo
15bobo10b2o4b6o5b6ob2ob4ob3o$27b2ob4obo3b2obo3bo3bo10b2obob7o4b3obobo
2bob3o4bo$28b2obo15bobo10b2o4b6o5b6ob2ob4ob3o$31bo13bo2b2obo7b4obob7ob
o8bo2bo2bobo$27b2obo11bobobob3o2bo3b7obob5obo7bob5o3bo$28b5o4b3o6b6o2b
o2b7o3bob2obo11b3obobo$29b2ob8ob2ob5ob4o2b2ob3o2bo3b2obo15bo$30b4ob10o
2b3ob3o7bo22b3o$32bo2b4o3bo3bo8bo2bo$34bo14bo4bo2bo!

[Yoel]

Which spaceship speeds are known?

Unknown. Apparently there are no c/2 or c/3. C/4 are easy to find:

Code: Select all

x = 225, y = 645, rule = B2ac3q5-i67/S03i45-q6-ac78
66$63bo6bo2bo$51bo3bo5b2o4bo27bo15bo$52b4o8bobobo2b2ob2obo16bobo9b4o2b
o$49bob2obobo3b5o32bo$50bo2b4o3b6o2b4o24bo8b2ob2o2bo$51bob2o7b6ob3o22b
5o5b2obo3bo$61b9obobo20b4o4bob3obo$52bobo5b2o3b4ob2obo20b3ob2obo2bob2o
$62b5ob4obo23bo2bob5obo$63b2o2bo2bobo26b2ob7o$63b2o2bo2bobo26b7o$62b5o
b4obo25b7o$52bobo5b2o3b4ob2obo25b2ob7o$61b9obobo23bo2bob5obo$51bob2o7b
6ob3o22b3ob2obo2bob2o$50bo2b4o3b6o2b4o22b4o4bob3obo$49bob2obobo3b5o29b
5o5b2obo3bo$52b4o8bobobo2b2ob2obo18bo8b2ob2o2bo$51bo3bo5b2o4bo29bo$63b
o6bo2bo20bobo9b4o2bo$95bo15bo22$48bo3bo3bo3bo5bo2bo32bo$49bo3bob2o2bo
5bobo4b4o9bobo13bobo$48b2ob4ob2ob2ob4ob3o10bo23bo$46b6obo2b4o2b4o2b2o
2b8o4bob2o14b2o2bo$46b3o3bob2obo2b2o3b4o6b5obobob4o13b4o$45bob2o4bo8bo
b3ob2o5bob3ob2o2b4obo9b4obobobo$46bob2obo6bo7bobo7b4o4b5obo6bo5b4obo2b
o$44bo2bob2o14bobo9b2o3bob3obobo3b3ob8obobo2bo$46bob4o3bob2o18b3o2b7o
3bobob5o2bo2b3o$44bo2bob2o14bobo9b2o3bob3obobo3b3ob8obobo2bo$46bob2obo
6bo7bobo7b4o4b5obo6bo5b4obo2bo$45bob2o4bo8bob3ob2o5bob3ob2o2b4obo9b4ob
obobo$46b3o3bob2obo2b2o3b4o6b5obobob4o13b4o$46b6obo2b4o2b4o2b2o2b8o4bo
b2o14b2o2bo$48b2ob4ob2ob2ob4ob3o10bo23bo$49bo3bob2o2bo5bobo4b4o9bobo
13bobo$48bo3bo3bo3bo5bo2bo32bo20$57bo31bo$56bob5o8bo8bo9bobo14bo2bo4bo
$49b6obob4ob2o5bobo6bobo6b4o5bobo8b2ob3o2bo$45b4ob4ob5ob6o15bo4bob4o$
45b4ob2ob4o3b2ob5o2bo7bob2o3b2ob4o6b2o2bo5b4obo2bo$45b6o2bob2o5bob4o4b
2o3bob3ob2ob7o2bob11ob4o2bo$47b3o2bob3obo2bo2bo6bob3ob9ob5ob10ob5o2bo$
46bobo14bobo2b2ob4o2b3o2b2ob2ob3ob2ob11o3b3obo$45bob3o2bo4b2o3bo5bob9o
bobob6obo2bob4obo2b2o3bobo$46bobo14bobo2b2ob4o2b3o2b2ob2ob3ob2ob11o3b
3obo$47b3o2bob3obo2bo2bo6bob3ob9ob5ob10ob5o2bo$45b6o2bob2o5bob4o4b2o3b
ob3ob2ob7o2bob11ob4o2bo$45b4ob2ob4o3b2ob5o2bo7bob2o3b2ob4o6b2o2bo5b4ob
o2bo$45b4ob4ob5ob6o15bo4bob4o$49b6obob4ob2o5bobo6bobo6b4o5bobo8b2ob3o
2bo$56bob5o8bo8bo9bobo14bo2bo4bo$57bo31bo19$51bo4bo4bo$41bo13bob3o2bo
23bobo16bo2bo4bo$40bob3o2bo3b5o12bobo6bobo4bob5o$41b5o4bob6obo2bo3bo
16bo2b3o2bo3b3o8b2ob2ob2o$40bo3b2o5bo2b5o2bo4bobo2bo2bo3b2o4b7o7bo8b2o
$41bob2o2bobob3o2bobo3bobobo3bob2o2b14o3bob3o2b10o3bo$55bobobobobo5b3o
4bo2b5ob18ob6o$51b3obo4bobob14obob8ob2ob6o3b2o4bobo$48bo2b3o2bo6b10o2b
2o2bo2bo2b17o2bo2b2obo$51b3obo4bobob14obob8ob2ob6o3b2o4bobo$55bobobobo
bo5b3o4bo2b5ob18ob6o$41bob2o2bobob3o2bobo3bobobo3bob2o2b14o3bob3o2b10o
3bo$40bo3b2o5bo2b5o2bo4bobo2bo2bo3b2o4b7o7bo8b2o$41b5o4bob6obo2bo3bo
16bo2b3o2bo3b3o8b2ob2ob2o$40bob3o2bo3b5o12bobo6bobo4bob5o$41bo13bob3o
2bo23bobo16bo2bo4bo$51bo4bo4bo20$46bo11bo30bo2bo$45bob11obo6bo23b3o2bo
16bo$41bo4b2ob8ob6o8bo2bo11bob6o12b4o2b3o$41bo6bob6ob2o7b3o4b3o2bobo4b
o2b6ob3o2bo5bo2bo6bo$41bo2b2o2bo2b10ob2o2b5obobob4o4b2ob3o2b2o4b2o7bob
2o2b3o$41bo2bo4b2ob7o4b2ob3ob2obob3ob15o2bobob7obob3o$45bo4bo2b4o13b3o
b5obob7ob4o5b9obobo$42b2o2b3o3b4obo2b2o8b2ob2o2b3obo7b5ob10o3b4o$49bo
3b3o2bo10bob2ob7o10b3ob4o2bo2bobo$42b2o2b3o3b4obo2b2o8b2ob2o2b3obo7b5o
b10o3b4o$45bo4bo2b4o13b3ob5obob7ob4o5b9obobo$41bo2bo4b2ob7o4b2ob3ob2ob
ob3ob15o2bobob7obob3o$41bo2b2o2bo2b10ob2o2b5obobob4o4b2ob3o2b2o4b2o7bo
b2o2b3o$41bo6bob6ob2o7b3o4b3o2bobo4bo2b6ob3o2bo5bo2bo6bo$41bo4b2ob8ob
6o8bo2bo11bob6o12b4o2b3o$45bob11obo6bo23b3o2bo16bo$46bo11bo30bo2bo20$
51bo4bo4bo$41bo13bob3o2bo23bobo16bo2bo4bo$40bob3o2bo3b5o12bobo6bobo4bo
b5o$41b5o4bob6obo2bo3bo16bo2b3o2bo3b3o8b2ob2ob2o$40bo3b2o5bo2b5o2bo4bo
bo2bo2bo3b2o4b7o7bo8b2o$41bob2o2bobob3o2bobo3bobobo3bob2o2b14o3bob3o2b
10o3bo$55bobobobobo5b3o4bo2b5ob18ob6o$51b3obo4bobob14obob8ob2ob6o3b2o
4bobo$48bo2b3o2bo6b10o2b2o2bo2bo2b17o2bo2b2obo$51b3obo4bobob14obob8ob
2ob6o3b2o4bobo$55bobobobobo5b3o4bo2b5ob18ob6o$41bob2o2bobob3o2bobo3bob
obo3bob2o2b14o3bob3o2b10o3bo$40bo3b2o5bo2b5o2bo4bobo2bo2bo3b2o4b7o7bo
8b2o$41b5o4bob6obo2bo3bo16bo2b3o2bo3b3o8b2ob2ob2o$40bob3o2bo3b5o12bobo
6bobo4bob5o$41bo13bob3o2bo23bobo16bo2bo4bo$51bo4bo4bo23$44bo11bo30bo2b
o$43bob11obo6bo23b3o2bo16bo$39bo4b2ob8ob6o8bo2bo11bob6o12b4o2b3o$39bo
6bob6ob2o7b3o4b3o2bobo4bo2b6ob3o2bo5bo2bo6bo$39bo2b2o2bo2b10ob2o2b5obo
bob4o4b2ob3o2b2o4b2o7bob2o2b3o$39bo2bo4b2ob7o4b2ob3ob2obob3ob15o2bobob
7obob3o$43bo4bo2b4o13b3ob5obob7ob4o5b9obobo$40b2o2b3o3b4obo2b2o8b2ob2o
2b3obo7b5ob10o3b4o$47bo3b3o2bo10bob2ob7o10b3ob4o2bo2bobo$40b2o2b3o3b4o
bo2b2o8b2ob2o2b3obo7b5ob10o3b4o$43bo4bo2b4o13b3ob5obob7ob4o5b9obobo$
39bo2bo4b2ob7o4b2ob3ob2obob3ob15o2bobob7obob3o$39bo2b2o2bo2b10ob2o2b5o
bobob4o4b2ob3o2b2o4b2o7bob2o2b3o$39bo6bob6ob2o7b3o4b3o2bobo4bo2b6ob3o
2bo5bo2bo6bo$39bo4b2ob8ob6o8bo2bo11bob6o12b4o2b3o$43bob11obo6bo23b3o2b
o16bo$44bo11bo30bo2bo22$39bo5bo18bo$40b4o2b17o2bo15bo$46b18o2b3o2bobob
o4bo24b3o$40b2ob3o3b8o5b7o3bo3bo10b4o2bo14bo$42bob2obo2b14o2b2obob2o3b
o4b2obo11bo8b3obobo$49b7o6b2obo4b2ob2ob2ob6o6b2o4bo4bob5o3bo$50b4ob7ob
o5b4obo6b2ob2obo7b2o7bo2bo2bobo$47bob3o4b2o2b3obo3bo3b9o2bo3bo5b4ob6ob
2ob4ob3o$50b2o3b9obo2b4ob2obo7bob4o5b6obobo2bob3o4bo$47bob3o4b2o2b3obo
3bo3b9o2bo3bo5b4ob6ob2ob4ob3o$50b4ob7obo5b4obo6b2ob2obo7b2o7bo2bo2bobo
$49b7o6b2obo4b2ob2ob2ob6o6b2o4bo4bob5o3bo$42bob2obo2b14o2b2obob2o3bo4b
2obo11bo8b3obobo$40b2ob3o3b8o5b7o3bo3bo10b4o2bo14bo$46b18o2b3o2bobobo
4bo24b3o$40b4o2b17o2bo15bo$39bo5bo18bo27$67bo$53b13o2bo15bo$46b4o3b14o
2b3o2bobobo4bo24b3o$39bo6b4o2b8o5b7o3bo3bo10b4o2bo14bo$41bo4b4o5b12o2b
2obob2o3bo4b2obo11bo8b3obobo$39bobo2bobob2ob2obob3o6b2obo4b2ob2ob2ob6o
6b2o4bo4bob5o3bo$38b5o3bobob2obo2bo2b6obo5b4obo6b2ob2obo7b2o7bo2bo2bob
o$36bobo3b2o2b4o9b2o2b3obo3bo3b9o2bo3bo5b4ob6ob2ob4ob3o$37bob6o3bobo3b
o2bo2b7obo2b4ob2obo7bob4o5b6obobo2bob3o4bo$36bobo3b2o2b4o9b2o2b3obo3bo
3b9o2bo3bo5b4ob6ob2ob4ob3o$38b5o3bobob2obo2bo2b6obo5b4obo6b2ob2obo7b2o
7bo2bo2bobo$39bobo2bobob2ob2obob3o6b2obo4b2ob2ob2ob6o6b2o4bo4bob5o3bo$
41bo4b4o5b12o2b2obob2o3bo4b2obo11bo8b3obobo$39bo6b4o2b8o5b7o3bo3bo10b
4o2bo14bo$46b4o3b14o2b3o2bobobo4bo24b3o$53b13o2bo15bo$67bo24$37bo30bo
28bo$38b8o10bo3bo2b5o2bo24b2o7bo14bo$38b3ob2obo8bo2b3ob3ob6obo22bobobo
3bobo$38bobo2bob3ob2o5bob11obobo2bo15bo2b3obo7bo6bob2obob2obo$41bob5o
3b3obob4o2bo3b8obob2o6b2obo2b6obo2bob2o2bo6b3o$42bob4ob14o6b2obobo6bo
2b3ob9obo2bob3o2b8ob2o$39bo3bob2o5bo3bo4bo2bo5b2ob3o2b3o2b3o2b21ob2ob
6o$43b2o4b3o5bo4bo2bo7bo2b7ob23ob2o2bo3bo2bo$42bo3bob3obo5bo13bob3ob2o
b2ob2o2b3o2bob11ob5o3bob2obo$43b2o4b3o5bo4bo2bo7bo2b7ob23ob2o2bo3bo2bo
$39bo3bob2o5bo3bo4bo2bo5b2ob3o2b3o2b3o2b21ob2ob6o$42bob4ob14o6b2obobo
6bo2b3ob9obo2bob3o2b8ob2o$41bob5o3b3obob4o2bo3b8obob2o6b2obo2b6obo2bob
2o2bo6b3o$38bobo2bob3ob2o5bob11obobo2bo15bo2b3obo7bo6bob2obob2obo$38b
3ob2obo8bo2b3ob3ob6obo22bobobo3bobo$38b8o10bo3bo2b5o2bo24b2o7bo14bo$
37bo30bo28bo24$100bo$41b26o3bo2bo23bob2o13bo2bo4bo$39b3ob24o5bo2bo7bo
2bo9b6o2bo$39b11obob17ob2ob2obo2b3o2bo9b2o2bobo13b2ob2ob2o$37b5o3b6o6b
2ob5obo6b2obo3b4ob3o3b10o3bobo9b2o$37b3ob6ob2o8b6obob2o5b3ob12ob6o2b2o
2bo2b13o3bo$37b2obobo3bo2bo4bo5b5o2b2ob4obobob3o2b17o3b8ob6o$36bo2b2ob
o17b2obo13b11o9b5ob2o6b2o4bobo$36bob4obo7bob2o4b5o5bo7b7obobobo5bob15o
bo2b2obo$36bo2b2obo17b2obo13b11o9b5ob2o6b2o4bobo$37b2obobo3bo2bo4bo5b
5o2b2ob4obobob3o2b17o3b8ob6o$37b3ob6ob2o8b6obob2o5b3ob12ob6o2b2o2bo2b
13o3bo$37b5o3b6o6b2ob5obo6b2obo3b4ob3o3b10o3bobo9b2o$39b11obob17ob2ob
2obo2b3o2bo9b2o2bobo13b2ob2ob2o$39b3ob24o5bo2bo7bo2bo9b6o2bo$41b26o3bo
2bo23bob2o13bo2bo4bo$100bo23$96bo$37b26o3bo2bo23bob2o13bo2bo4bo$35b3ob
24o5bo2bo7bo2bo9b6o2bo$35b11obob17ob2ob2obo2b3o2bo9b2o2bobo13b2ob2ob2o
$33b5o3b6o6b2ob5obo6b2obo3b4ob3o3b10o3bobo9b2o$33b3ob6ob2o8b6obob2o5b
3ob12ob6o2b2o2bo2b13o3bo$33b2obobo3bo2bo4bo5b5o2b2ob4obobob3o2b17o3b8o
b6o$32bo2b2obo17b2obo13b11o9b5ob2o6b2o4bobo$32bob4obo7bob2o4b5o5bo7b7o
bobobo5bob15obo2b2obo$32bo2b2obo17b2obo13b11o9b5ob2o6b2o4bobo$33b2obob
o3bo2bo4bo5b5o2b2ob4obobob3o2b17o3b8ob6o$33b3ob6ob2o8b6obob2o5b3ob12ob
6o2b2o2bo2b13o3bo$33b5o3b6o6b2ob5obo6b2obo3b4ob3o3b10o3bobo9b2o$35b11o
bob17ob2ob2obo2b3o2bo9b2o2bobo13b2ob2ob2o$35b3ob24o5bo2bo7bo2bo9b6o2bo
$37b26o3bo2bo23bob2o13bo2bo4bo$96bo22$49bo50bo$48bob17o3bo2bo23bob2o
13bo2bo4bo$42b5o2b18o5bo2bo7bo2bo9b6o2bo$33bob2o5b3obo4b19ob2ob2obo2b
3o2bo9b2o2bobo13b2ob2ob2o$31bobob3obo2b7ob2o5b2ob5obo6b2obo3b4ob3o3b
10o3bobo9b2o$32b6o3b5o12b6obob2o5b3ob12ob6o2b2o2bo2b13o3bo$29bob3ob3ob
ob4obo13b5o2b2ob4obobob3o2b17o3b8ob6o$31b2obo4b2obobo2b3o10b2obo13b11o
9b5ob2o6b2o4bobo$30bob2o6b2o8bo8b5o5bo7b7obobobo5bob15obo2b2obo$31b2ob
o4b2obobo2b3o10b2obo13b11o9b5ob2o6b2o4bobo$29bob3ob3obob4obo13b5o2b2ob
4obobob3o2b17o3b8ob6o$32b6o3b5o12b6obob2o5b3ob12ob6o2b2o2bo2b13o3bo$
31bobob3obo2b7ob2o5b2ob5obo6b2obo3b4ob3o3b10o3bobo9b2o$33bob2o5b3obo4b
19ob2ob2obo2b3o2bo9b2o2bobo13b2ob2ob2o$42b5o2b18o5bo2bo7bo2bo9b6o2bo$
48bob17o3bo2bo23bob2o13bo2bo4bo$49bo50bo!

[confocaloid]

p5 orthogonal c/5 spaceship, minimum population is 206 alive cells:

Code: Select all

#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/5o -w 10 -s even
x = 28, y = 20, rule = B2ac3q5-i67/S03i45-q6-ac78
3bo20bo$23bo2bo$bob5o3bo14bo$bob4ob3o12bo2bo$bob7ob2o6bo4b2obo$3b2obob
4o6bo4b4o$3b2obobobo7bobob3ob2o$ob7obo2bo7b7o$2bobob7o9bobobo$2bob3obo
b3o2bobobobo2bo2bo$2bob3obob3o2bobobobo2bo2bo$2bobob7o9bobobo$ob7obo2b
o7b7o$3b2obobobo7bobob3ob2o$3b2obob4o6bo4b4o$bob7ob2o6bo4b2obo$bob4ob
3o12bo2bo$bob5o3bo14bo$23bo2bo$3bo20bo!
#C [[ GRID THEME MCell ZOOM 12 GPS 4 TRACKLOOP 5 1/5 0/5 ]]

edit 1 (2025-02-08): longest "odd" partial from qfind:

Code: Select all

#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/5 -w 10 -s odd
x = 19, y = 33, rule = B2ac3q5-i67/S03i45-q6-ac78
6b7o2$6b7o$3bob9obo$3b13o$3b6ob6o$2b2o5bo5b2o$6b2o3b2o$bo15bo2$
2b3o3b3o3b3o$6b7o$2bo4b5o4bo$4bo3bobo3bo$3bobo7bobo$2bob4o3b4obo
$3b5o3b5o$3b5o3b5o$bobob3o3b3obobo$bobob3o3b3obobo$bob3o7b3obo$b
ob3o3bo3b3obo$2bo3b2o3b2o3bo$3bob2o5b2obo$4bob2o3b2obo$b2o13b2o$
o4bob5obo4bo$b2o13b2o$2bo4bo3bo4bo$2b3obo5bob3o$b2obo9bob2o$5obo
5bob5o$2b2o3b2ob2o3b2o!

[H. H. P. M. P. Cole]

p6 orthogonal c/6o spaceship

Code: Select all

#C qfind -r B2ac3q5-i67/S03i45-q6-ac78 -p 6 -y 1 -w 9 -s odd -t 15 -k -f 1
x = 17, y = 138, rule = B2ac3q5-i67/S03i45-q6-ac78
7bobo$7b3o$5b7o$6b2ob2o$5b7o$8bo$3bo4bo4bo$5b3ob3o$5bob3obo$3b2o
b5ob2o$3b11o$3b11o$bobob3ob3obobo$3b11o$bobo3bobo3bobo2$6bo3bo$5b
o5bo2$2bob9obo$4bob5obo$bobob7obobo$3b11o$3b5ob5o$3bob2obob2obo$
bob2o7b2obo$2bob3obob3obo$3b2obo3bob2o$bobobo2bo2bobobo$bob2obo3b
ob2obo$bobob7obobo$bob11obo$3bob3ob3obo$2b6ob6o$4b9o$2b2ob7ob2o$
3b5ob5o$3b11o$3bob7obo$4b9o$5b7o$5b7o$4b4ob4o$5b7o$5b7o$3bob7obo
$4b4ob4o$4bob5obo$5bo2bo2bo$6b2ob2o$6b5o$5bobobobo$8bo2$4bo7bo$4b
ob5obo$5b7o$4b4ob4o$4b3obob3o$bo2b4ob4o2bo$o3b9o3bo$bo3b7o3bo$2b
ob9obo$7bobo$4bo2b3o2bo$6bo3bo$7b3o$7bobo$5b7o$5b3ob3o$2b3o2b3o2b
3o$8bo$ob3o7b3obo$b2obobo3bobob2o$bob3o2bo2b3obo$2b4o5b4o$3b2o7b
2o$o2bo4bo4bo2bo$bobo2b5o2bobo$2bob4ob4obo$3b4obob4o$3bobo5bobo$
3b3o5b3o$3b3o5b3o$3b3o5b3o$bob4o3b4obo$3bob7obo$bo2bob5obo2bo$3b
2obo3bob2o$2bobobobobobobo$3b3o5b3o$3b2obo3bob2o$3b3o5b3o$3b2obo
3bob2o$3b4obob4o$3b4o3b4o$2b2ob3ob3ob2o$2bob2o2bo2b2obo$2b2o9b2o
$bobobo5bobobo$2bobo7bobo$5bobobobo$3bo3bobo3bo$5b2o3b2o$4b2ob3o
b2o$5b7o$6b5o$6bo3bo2$6bo3bo$7b3o$6b5o$4bob2ob2obo$6b5o$5b3ob3o$
3bob2obob2obo$4b4ob4o$2b13o$3b11o$2bo2b7o2bo$3bob7obo$2b2o2b5o2b
2o$bobo3b3o3bobo$2b2o4bo4b2o$3b5ob5o$3bob2obob2obo$3b2ob5ob2o$3b
11o$3b11o$bob2o2b3o2b2obo$3b11o$8bo$6bo3bo$6bo3bo2$2bobo3bo3bobo
$4bo7bo$8bo!

EDIT: a larger one:

Code: Select all

x = 17, y = 165, rule = B2ac3q5-i67/S03i45-q6-ac78
7bobo$7b3o$5b7o$6b2ob2o$5b7o$8bo$3bo4bo4bo$5b3ob3o$5bob3obo$3b2o
b5ob2o$3b11o$3b11o$bobob3ob3obobo$3b11o$bobo3bobo3bobo2$6bo3bo$5b
o5bo2$2bob9obo$4bob5obo$bobob7obobo$3b11o$3b5ob5o$3bob2obob2obo$
bob2o7b2obo$2bob3obob3obo$3b2obo3bob2o$bobobo2bo2bobobo$bob2obo3b
ob2obo$bobob7obobo$bob11obo$3bob3ob3obo$2b6ob6o$4b9o$2b2ob7ob2o$
3b5ob5o$3b11o$3bob7obo$4b9o$5b7o$5b7o$4b4ob4o$5b7o$5b7o$3bob7obo
$4b4ob4o$4bob5obo$5bo2bo2bo$6b2ob2o$6b5o$5bobobobo$8bo2$4bo7bo$4b
ob5obo$5b7o$4b4ob4o$4b3obob3o$bo2b4ob4o2bo$o3b9o3bo$bo3b7o3bo$2b
ob9obo$7bobo$4bo2b3o2bo$6bo3bo$7b3o$7bobo$5b7o$5b3ob3o$2b3o2b3o2b
3o$8bo$ob3o7b3obo$b2obobo3bobob2o$bob3o2bo2b3obo$2b4o5b4o$3b2o7b
2o$o2bo4bo4bo2bo$bobo2b5o2bobo$2bob4ob4obo$3b4obob4o$3bobo5bobo$
3b3o5b3o$3b3o5b3o$3b3o5b3o$bob4o3b4obo$3bob7obo$bo2bob5obo2bo$3b
2obo3bob2o$2bobo3bo3bobo$4b3o3b3o$3b3o5b3o$2b2obo5bob2o$6bo3bo$3b
4o3b4o$b4o2b3o2b4o$2b13o$3b2o3bo3b2o$4b3o3b3o$2bobo2bobo2bobo$5b
o5bo$4b3obob3o$3bo2b5o2bo$3b11o$3bob7obo$3b11o$4b4ob4o$5b7o$4bob
2ob2obo$6b2ob2o$7bobo$7bobo$7b3o$6b5o$6b2ob2o$5b7o$bobob7obobo$3b
ob7obo$3bobob3obobo$bob11obo$4b9o$bo3bobobobo3bo$6bobobo$2bobo2b
3o2bobo$7b3o$2bobob5obobo$6b5o$5b7o$4bo2b3o2bo$7b3o$7bobo$7b3o$5b
obobobo$4bob5obo$4bob2ob2obo$4bob5obo$4bob5obo$4bob5obo$4bobobob
obo2$8bo$6bobobo$4b4ob4o$6bobobo$5b7o$5b3ob3o$bo2bobobobobo2bo$2b
o2b3ob3o2bo$2b13o$2b2obo5bob2o$2b3o3bo3b3o$2b4o5b4o$3b2obo3bob2o
$3bo9bo$2b4o5b4o$b6obob6o$2bobobo3bobobo$bob11obo$4b9o$2bob9obo$
3bo2b2ob2o2bo$6bobobo$7b3o$7bobo$8bo!

[confocaloid]

I found a p7 orthogonal c/7 spaceship (minimum population 404 alive cells), using qfind (slightly over 2 weeks of clock time):

Code: Select all

#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/7 -w 9 -s even
x = 18, y = 80, rule = B2ac3q5-i67/S03i45-q6-ac78
5bobo2bobo2$6b2o2b2o$5bob4obo$6bob2obo$5bob4obo$5bob4obo$7bo2bo
$7b4o$4bo3b2o3bo$4bob6obo$4bobo4bobo$3b2ob6ob2o2$2bo2bo6bo2bo2$8b
2o$5b2o4b2o$8b2o$4b2o6b2o$4b2o2b2o2b2o$2bobo8bobo$2bob2obo2bob2o
bo$2bob2o6b2obo$5bo6bo$4bo8bo$4b3o4b3o$2bo12bo$3b3o2b2o2b3o$3b3o
6b3o$bob3obo2bob3obo$3bobo2b2o2bobo$4b2o2b2o2b2o2$7b4o$3bobob4ob
obo$5b8o$bo2bobo4bobo2bo$o2bo2b2o2b2o2bo2bo$8b2o$b2o3b6o3b2o$6bo
b2obo$bob2ob6ob2obo$3b12o$4b10o$4b10o$3bo2b6o2bo$2bo2bobo2bobo2b
o$4bob6obo$6b6o$6b6o2$8b2o$5bo6bo$7b4o$6b6o$6bob2obo$7b4o$4bo3b2o
3bo$8b2o$4b2o2b2o2b2o2$3bo2b2o2b2o2bo2$4b2obo2bob2o$7bo2bo2$7b4o
$5b8o$6b6o$6b6o$4bob6obo$2bo2b8o2bo$5b8o$3b12o$4bob6obo$3b12o$5b
8o$2bo3bob2obo3bo$7bo2bo!

[FlutterWithKSparkler]

Although omniperiodicity has been proven, it is worth noting that the replicator-like signal can be made into a loop with repeat time 9.

Code: Select all

x = 123, y = 79, rule = B2ac3q5-i67/S03i45-q6-ac78History
3.A4.A45.A47.A$53.3A45.3A$A2.A5.A42.3A.B43.3A.B$2.3A3.3A40.3A.B.A41.
3A.B.A$3.3A3.3A40.A.B.A.A41.A.B.A.A$4.A5.A38.A.B.B.B.A.B37.A.A.A.B.A.
B$52.B.B.B.B41.B.B.B.B$51.B.A.B.B41.A.A.B.B$7.B34.A7.B.3A.B.B.A29.A7.
B.3A.B.B.A$41.3A5.B.2A.2A.B.3A27.3A5.A.2A.2A.B.3A$40.3A.B3.B.7A.B.3A
25.3A.A3.B.7A.B.3A$37.B3.A.B.B.B.3A3.A.B.B.A23.A3.A.B.B.A.3A3.A.B.B.A
$36.B.B.B.B.B.B.3A5.B.B.B23.A.A.A.B.A.B.3A5.B.B.B$35.B.B.B.B.B.B.B.A
7.B.B23.B.A.B.B.B.B.B.A7.B.B$34.B.B.B.B.A.B13.A4.A18.B.A.A.A.A.A13.A
4.A$3.A29.A.B.B.B.3A4.A8.B.B21.A.B.A.B.3A4.A8.B.B$32.3A.B.B.3A12.A2.A
.B.B.A15.3A.B.B.3A12.A2.A.B.B.A$A2.A29.3A.B.2A.A14.3A.B.3A15.3A.B.2A.
A14.3A.B.3A$2.3A5.A23.3A.B.3A15.3A.B.3A15.3A.B.3A15.3A.B.3A$3.3A29.A.
B.B.3A15.A.B.B.A17.A.B.A.3A15.A.B.B.A$4.3A5.A27.B.3A15.B.B.B23.B.3A
15.B.B.B$5.3A3.3A23.A3.B.3A15.B.B21.A3.A.3A15.B.B$5.A.2A3.3A27.B.A2.A
9.A4.B27.B.A2.A9.A4.A$5.3A5.3A27.B.B15.B.B27.B.B15.A.A$4.3A7.A29.B11.
A.B.B.A2.A26.B11.A.B.B.A2.A$5.A37.B.B9.3A.B.3A27.B.B9.3A.B.3A$42.B.B.
B7.3A.B.3A27.B.B.B7.3A.B.3A$.B39.A.B.B.A7.A.B.B.A27.A.B.B.A7.A.B.B.A$
6.A33.3A.B.3A7.B.B.B27.3A.A.3A7.B.B.B$5.3A33.3A.B.3A7.B.B29.3A.B.3A7.
B.B$4.3A35.A.B.B.A2.A6.B4.A26.A.A.B.A2.A6.B4.A$5.A41.B.B7.B.B35.B.B7.
B.B$43.A4.B6.A2.A.B.B.A26.A4.B6.A2.A.A.B.A$47.B.B7.3A.B.3A29.B.B7.3A.
B.3A$46.B.B.B7.3A.B.3A27.B.B.B7.3A.B.3A$3.A41.A.B.B.A7.A.B.B.A27.A.B.
B.A7.A.B.B.A$44.3A.B.3A7.B.B.B27.3A.B.3A7.B.B.B$A2.A39.3A.B.3A9.B.B
27.3A.A.3A9.B.B$2.3A5.A30.A2.A.B.B.A6.A4.B26.A2.A.B.B.A6.A4.B$3.3A37.
B.B15.B.B27.B.A15.A.B$4.3A5.A31.B4.A6.A.B.B.A2.A26.B4.A6.A.B.B.A2.A$
5.3A3.3A29.B.B9.3A.B.3A27.B.B9.3A.A.3A$5.A.2A3.3A27.B.B.B7.3A.B.3A27.
B.B.B7.3A.B.3A$5.3A5.3A25.A.B.B.A7.A.B.B.A27.A.B.B.A7.A.B.B.A$4.3A7.A
25.3A.B.3A7.B.B.B27.3A.B.3A7.B.B.B$5.A35.3A.B.3A7.B.B29.3A.B.3A7.B.B$
42.A.B.B.A2.A6.B4.A26.A.B.A.A2.A6.B4.A$.B45.B.B7.B.B35.B.B7.B.B$6.A7.
B28.A4.B6.A2.A.B.B.A26.A4.B6.A2.A.B.A.A$5.3A39.B.B7.3A.B.3A29.B.B7.3A
.B.3A$4.3A3.A35.B.B.B7.3A.B.3A27.B.B.B7.3A.A.3A$5.A3.3A33.A.B.B.A7.A.
B.B.A27.A.B.B.A7.A.B.B.A$10.A33.3A.B.3A7.B.B.B27.3A.B.3A7.B.B.B$43.3A
.B.3A9.B.B27.3A.B.3A9.B.B$41.A2.A.B.B.A11.B26.A2.A.B.B.A11.B$43.B.B
15.B.B27.A.A15.B.B$44.B4.A9.A2.A.B27.A4.A9.A2.A.B$43.B.B15.3A.B3.A21.
B.B15.3A.A3.A$42.B.B.B15.3A.B23.B.B.B15.3A.B$41.A.B.B.A15.3A.B.B.A17.
A.B.B.A15.3A.A.B.A$40.3A.B.3A15.3A.B.3A15.3A.B.3A15.3A.B.3A$41.3A.B.
3A14.A.2A.B.3A15.3A.B.3A14.A.2A.B.3A$42.A.B.B.A2.A12.3A.B.B.3A15.A.B.
B.A2.A12.3A.B.B.3A$47.B.B8.A4.3A.B.B.B.A21.B.B8.A4.3A.B.A.B.A$43.A4.B
13.B.A.B.B.B.B18.A4.A13.A.A.A.A.A.B$47.B.B7.A.B.B.B.B.B.B.B23.B.B7.A.
B.B.B.B.B.A.B$46.B.B.B5.3A.B.B.B.B.B.B23.B.B.B5.3A.B.A.B.A.A.A$45.A.B
.B.A3.3A.B.B.B.A3.B23.A.B.B.A3.3A.A.B.B.A3.A$44.3A.B.7A.B3.B.3A25.3A.
B.7A.B3.A.3A$45.3A.B.2A.2A.B5.3A27.3A.B.2A.2A.A5.3A$46.A.B.B.3A.B7.A
29.A.B.B.3A.B7.A$49.B.B.A.B41.B.B.A.A$48.B.B.B.B41.B.B.B.B$47.B.B.B.B
.B.A37.B.A.B.A.A.A$48.B.B.B.A41.A.A.B.A$49.B.B.3A41.A.B.3A$50.B.3A43.
B.3A$51.3A45.3A$52.A47.A!

It would be nice if this signal can be converted back to and from a spaceship, similar to another rule described in this post. But the B2a condition is out of reach in the loop above since all rotor cells are of the same checkerboard parity. Another approach is needed.

[confocaloid]

[...] replicator-like signal [...]

I don't get the idea behind the quoted phrase. Can you explain what exactly you mean by it?
(I saw the same phrase in a few of other your posts. I didn't see the same phrase anywhere else.)

I looked at the patterns. The patterns apparently contain some moving reactions (pulses), either oscillating in a closed loop, or in a simple demo pattern. I didn't see any replicators in those patterns, and I didn't see any signals in those patterns.

The quoted phrase comes across as unnecessary obscurity (that sounds like it must mean something, but fails to communicate any specific idea). Terminology should be helpful and intuitive.

[FlutterWithKSparkler]

[...] replicator-like signal [...]

I don't get the idea behind the quoted phrase. Can you explain what exactly you mean by it?
(I saw the same phrase in a few of other your posts. I didn't see the same phrase anywhere else.)

I looked at the patterns. The patterns apparently contain some moving reactions (pulses), either oscillating in a closed loop, or in a simple demo pattern. I didn't see any replicators in those patterns, and I didn't see any signals in those patterns.

The quoted phrase comes across as unnecessary obscurity (that sounds like it must mean something, but fails to communicate any specific idea). Terminology should be helpful and intuitive.

The adjective "replicator-like" means there is a one-to-one correspondence between the configuration of on and off cells in the moving reaction and in a replicator. This is seen at the first 11 generations of following two patterns in the marked ON/OFF region, but can be extended at wish without upper bound.

Code: Select all

x = 25, y = 25, rule = B2ac3q5-i67/S03i45-q6-ac78History
2.B$.A.B$3A.B$.3A.B$2.3A.B$3.3A.B$4.3A.B$5.3A.B$6.3A.B$7.3A.B$8.3A.B$
9.3A.C$10.3A.B$11.3A.B$12.3A.B$13.3A.B$14.3A.B$15.3A.B$16.3A.B$17.3A.
B$18.3A.B$19.3A.B$20.3A.B$21.3A$22.A!

Code: Select all

x = 23, y = 23, rule = MAPQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHistory
B$.B$2.B$3.B$4.B$5.B$6.B$7.B$8.B$9.B$10.B$11.C$12.B$13.B$14.B$15.B$
16.B$17.B$18.B$19.B$20.B$21.B$22.B!

If the word "signal" is not applicable here due to not carrying information or not interconvertible with other things that can be clarified as "signal", an edit to change it to "pulse" (or "drifter"?) is doable but not without a deeper explanation of details.

It is appreciated that a great effort of guarding terminology has been put, but due to potential escalation of conflicts from being unable to persuade each other on the insisted correct/justified usage, the preferred action on my part is not to make any more comments on this topic.

[confocaloid]

I think I see the idea behind "replicator-like", given the added explanation. It looks like a way to allow nonempty background.

As for what can be described as a "signal", well, it feels like that word is "too grand" in many cases. The word sounds too "pretentious" / "grandiose".
Using the word causes a reader to seek certain properties in the CA pattern and in the provided descriptions/explanations/comments. However, such properties are often missing (for example, when the word is used to refer to a simple moving reaction that doesn't really need any extra additional attention compared to multiple other similar moving reactions in the pattern; or when there is no known way / not enough known technology to be able to actually use the moving reaction to send/receive/transmit some signals across the universe).

When it's a spaceship, it is better to describe it as a spaceship. That's a much simpler "lightweight" word. It is safe to expect that people who are interested in Life/CA will know what is a spaceship.

When the moving reaction remains "compact" as it moves, one can describe it as a pulse. For example there can be pulses moving in wires; and active reactions moving in tracks made out of conduits can also be viewed/described as pulses.

In your example, I think it would work even to describe the moving reaction simply as a "replicator-like reaction". That would avoid the confusion where a reader unnecessarily spends time looking for something that cannot be found in the pattern. (No additional precision is needed here, because AFAICT there is no known technology to actually use those reactions for sending/receiving signals; and certainly those reactions aren't used for that purpose in the posted patterns.)

[...]
If the word "signal" is not applicable here due to not carrying information or not interconvertible with other things that can be clarified as "signal", an edit to change it to "pulse" (or "drifter"?) is doable but not without a deeper explanation of details.

It is appreciated that a great effort of guarding terminology has been put, but due to potential escalation of conflicts from being unable to persuade each other on the insisted correct/justified usage, the preferred action on my part is not to make any more comments on this topic.

[confocaloid]

Here are partials for a p8 c/8o spaceship, from completed qfind searches:

Code: Select all

#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/8 -w 9 -s odd
#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/8 -w 9 -s even
#C [[ GRID ]]
x = 58, y = 48, rule = B2ac3q5-i67/S03i45-q6-ac78
5b3ob3o31b3o6b3o$5b7o$2bo2b3ob3o2bo28b3o6b3o$bob11obo25bob4ob2ob4obo$
5b7o30bob2obo2bob2obo$2b2o9b2o27b3obo4bob3o$4bo2bobo2bo29b4ob4ob4o$4bo
7bo28bo14bo$4bobo3bobo32bo6bo$bo4b5o4bo28bo2b4o2bo$o3b2ob3ob2o3bo29bo
4bo$bo2b9o2bo29bob4obo$2bob2o2bo2b2obo30bob4obo$3bob3ob3obo33b4o$3bob
2obob2obo30b10o$5b7o32bo2b4o2bo$4b9o31bob6obo$3b2obobobob2o30bob6obo$
3b11o29b3ob4ob3o$3b3o5b3o30b4o2b4o$3b2o2bobo2b2o28bob10obo$bobob2o3b2o
bobo25bob2ob2o2b2ob2obo$bobo9bobo26b4obo2bob4o$bob5ob5obo26b4ob4ob4o$b
obob2o3b2obobo24bob2ob8ob2obo$bob2ob2ob2ob2obo27b12o$o2b3ob3ob3o2bo31b
2o$2bo4b3o4bo28bo10bo$bo3b7o3bo27bo4b2o4bo$2bo5bo5bo26bo14bo$4bobobobo
bo30bob2o4b2obo$5bo5bo29bo6b2o6bo$8bo34bobobo2bobobo$3b2o2b3o2b2o34b2o
$2bo2b3ob3o2bo28bo3bo2bo3bo$3b11o31b2o4b2o$44b3o4b3o$44b10o$43b4o4b4o$
42b4o6b4o$42b4o6b4o$42b2o4b2o4b2o$42b2o3bo2bo3b2o$41bobo4b2o4bobo$43b
3ob4ob3o$43b12o$41b4o3b2o3b4o$40bobo2b2ob2ob2o2bobo!

Here are partials for a p9 c/9o spaceship, from completed qfind searches:

Code: Select all

#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/9 -w 8 -s odd
#C ./qfind -r B2ac3q5-i67/S03i45-q6-ac78 -v c/9 -w 8 -s even
#C [[ GRID ]]
x = 56, y = 39, rule = B2ac3q5-i67/S03i45-q6-ac78
3bo5bo32b2obob2obob2o$46bo2bo$3b7o32b2obob2obob2o$ob9obo28bo5b2o5bo$2b
9o31b3ob4ob3o$b11o35b2o$3b7o34b8o$bob7obo28bo3b3o2b3o3bo$4b5o33b12o$2b
o2bobo2bo31b5o2b5o$42b12o$40bo2b4o2b4o2bo$3bo2bo2bo34b8o$5bobo37b6o$4b
5o36b6o$4b2ob2o35b2o4b2o$4b5o34b2ob4ob2o$3b7o34b8o$2bo2b3o2bo35b4o$2o
3bobo3b2o32b6o$43b10o$2o4bo4b2o29bob8obo$6bo36bo2b4o2bo$3b7o32bob3o2b
3obo$3b7o35b6o$ob9obo32b6o$3bobobobo36b4o$2bob5obo34bo4bo$43bobob2obob
o$42bob3o2b3obo$44b2ob2ob2o$42bobobo2bobobo$41bo2b8o2bo$43b10o$42b3ob
4ob3o$42b3obo2bob3o$42b4o4b4o$43bobob2obobo$40bob2o8b2obo!