Hexagonal self-complementary rules

[Yoel]

I did some research on hexagonal self-complementary (Day&Night-like) R1 rules. It is a very small space and I believe I've more or less discovered all the interesting ones. Some are quite promising. Several of such rules closely resemble Hexrule b2o (B2o/S2m34h), which has been already studied by a number of people. One, B2o3-o4-m56/S2m3o4-o56H, is perfectly apgsearchable; it has many oscillators, gliders and puffers. Guns:

Code: Select all

x = 94, y = 67, rule = B2o3-o4-m56/S2m3o4-o56H
5$59bo$56bob2o$58bobo7bo$56b4o7b4o$56b5o7b3o$51bo4b5o7b4o$47b5o3bob4o
2bo6bo$47b7o2b7o$47b6o3bob7o$47b6o4b7obo$46b7o11b2obo$48b5o7b2o2b3o$
48bo4b2o4b4ob3o$53b3o5b2ob6obo$47bo6b3o4bo2b7ob2o$42bob3ob2o5b2o7b9o$
44b5obo13bob5o$42b9o7b2o5b2ob3obo$41b2ob7o2bo4b3o6bo$43bob6ob2o5b3o$
48b3ob4o4b2o4bo$48b3o2b2o7b5o$31bo15bob2o11b7o$28bob2o17bob7o4b6o$30bo
bo17b7obo3b6o$28b4o20b7o2b7o$28b5o18bo2b4obo3b5o$23bo4b5o21b5o4bo$19b
5o3bob4o2bo18b5o$19b7o2b7o20b4o$19b6o3bob7o17bobo$19b6o4b7obo17b2obo$
18b7o11b2obo15bo$20b5o7b2o2b3o$20bo4b2o4b4ob3o$25b3o5b2ob6obo$19bo6b3o
4bo2b7ob2o$14bob3ob2o5b2o7b9o$16b5obo13bob5o$14b9o7b2o5b2ob3obo$13b2ob
7o2bo4b3o6bo$15bob6ob2o5b3o$20b3ob4o4b2o4bo$20b3o2b2o7b5o$19bob2o11b7o
$21bob7o4b6o$22b7obo3b6o$24b7o2b7o$16bo6bo2b4obo3b5o$15b4o7b5o4bo$16b
3o7b5o$16b4o7b4o$18bo7bobo$27b2obo$27bo!

Code: Select all

x = 105, y = 62, rule = B2o3-o4-m56S2m3o4-o56H
4$56bo$55bobo$55b3o$54b2obo8b2o$53b6o7b3o$45bo6bob5o8b2o$44b4ob2o3b6o$
45b6o3b9o$45b5o5b6o$46b5o5b2ob4obo$45b6o7bo2b2obo$45b2ob4o7b2ob3o$50b
4o4b3ob4o$44bo6b3o4b2obob5o$43bo7b4o2bo4b9o$42b5o6b2obo5b6obobo$40b8o
7bo7b8o$39bobob6o5bob2o6b5o$40b9o4bo2b4o7bo$43b5obob2o4b3o6bo$27bo17b
4ob3o4b4o$26bobo17b3ob2o7b4ob2o$26b3o17bob2o2bo7b6o$25b2obo17bob4ob2o
5b5o$24b6o20b6o5b5o$16bo6bob5o18b9o3b6o$15b4ob2o3b6o20b6o3b2ob4o$16b6o
3b9o18b5obo6bo$16b5o5b6o20b6o$17b5o5b2ob4obo17bob2o$16b6o7bo2b2obo17b
3o$16b2ob4o7b2ob3o17bobo$21b4o4b3ob4o17bo$15bo6b3o4b2obob5o$14bo7b4o2b
o4b9o$13b5o6b2obo5b6obobo$11b8o7bo7b8o$10bobob6o5bob2o6b5o$11b9o4bo2b
4o7bo$14b5obob2o4b3o6bo$16b4ob3o4b4o$17b3ob2o7b4ob2o$17bob2o2bo7b6o$
17bob4ob2o5b5o$21b6o5b5o$19b9o3b6o$22b6o3b2ob4o$13b2o8b5obo6bo$13b3o7b
6o$14b2o8bob2o$24b3o$24bobo$25bo!

Another one, B2o3m4-m56/S2m3-m4-o56H, tends to infinitely grow due to interesting messy replicating puffers:

Code: Select all

x = 24, y = 29, rule = B2o3m4-m56/S2m3-m4-o56H
9$11bo$11bobo$11bobob2o$11bobo3bo$11bobo4bo$11bobo5bo$12bo3b4o$13bo$
14bo!

My favorite of those that actually resembles Day&Night (equally chaotic with diverse natural objects) is B2-m3-o4-m56/S2m3o4m56H. Unfortunately, it's not apgsearchable, because often enough it produces a spacefiller. It also has greyships of arbitrary large size:

Code: Select all

x = 394, y = 353, rule = B2-m3-o4-m56S2m3o4m56H
98$90bo$90bobo$90bobobo$90bobobobo$92bobobobo$94bobobobo$94bobobobobo$
94bobobobobobo$94bobobobobobobo$94bobobobobobobobo$96bobobobobobobobo$
98bobobobobobobobo$98bobobobobobobobobo$98bobobobobobobobobobo$98bobob
obobobobobobobobo$98bobobobobobobobobobobobo$100bobobobobobobobobobobo
bo$102bobobobobobobobobobobobo$102bobobobobobobobobobobobobo$102bobobo
bobobobobobobobobobobo$102bobobobobobobobobobobobobobobo$102bobobobobo
bobobobobobobobobobobo$104bobobobobobobobobobobobobobobobo$106bobobobo
bobobobobobobobobobobobo$106bobobobobobobobobobobobobobobobobo$106bobo
bobobobobobobobobobobobobobobobo$106bobobobobobobobobobobobobobobobobo
bobo$106bobobobobobobobobobobobobobobobobobobobo$108bobobobobobobobobo
bobobobobobobobobobobo$110bobobobobobobobobobobobobobobobobobobobo$
110bobobobobobobobobobobobobobobobobobobobobo$110bobobobobobobobobobob
obobobobobobobobobobobo$110bobobobobobobobobobobobobobobobobobobobobob
obo$110bobobobobobobobobobobobobobobobobobobobobobobobo$112bobobobobob
obobobobobobobobobobobobobobobobobobo$114bobobobobobobobobobobobobobob
obobobobobobobobobo$114bobobobobobobobobobobobobobobobobobobobobobobob
obo$114bobobobobobobobobobobobobobobobobobobobobobobobobobo$114bobobob
obobobobobobobobobobobobobobobobobobobobobobobo$114bobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$116bobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$118bobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$118bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobo$118bobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obo$118bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
118bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
120bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
o$122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobo$124bobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$126bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$126bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo$126bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$126bobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobo$126bobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
128bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$130bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$130bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$130bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$130bobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobo$130bobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$132bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$134bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$134bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo$134bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$134bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$134bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$136bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$138bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobo$138bobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
138bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$138bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
138bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$140bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$142bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$142bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$142bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$142bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$142bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$144bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo$146bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$146bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$146bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$146bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$146bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo$148bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$150bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$150bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$150bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$150bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$150bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$152bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$154bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
154bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$154bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$154bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$154bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$156bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
158bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$160bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$162bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$162bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$162bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$162bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$162bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$164bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo$166bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$166bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$166bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$166bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$166bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo$168bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$170bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$170bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$170bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$170bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$170bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$172bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$174bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
174bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$174bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$
174bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$174bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$176bobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo$178bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobo3bo$178bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo$178bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$
178bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$178bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo3bo$180bobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobo$182bobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo3bo$182bobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$182bobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo3bo$182bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobo$182bobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobo3bo$184bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$186bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo3bo$186bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobo$186bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$186bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$186bobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobo3bo$188bobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
190bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo3bo$190bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo$190bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobo3bo$190bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$190bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobo3bo$192bobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo$194bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo3bo$194bobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$194bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo3bo$194bobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo$194bobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$196bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
198bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo3bo$198bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobo$198bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobo3bo$198bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$198bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo3bo$200bobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobo$202bobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobo3bo$202bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$202bobobobobobobobobobobobobobobobobobobobobobobobob
obobo3bo$202bobobobobobobobobobobobobobobobobobobobobobobobobobobo$
202bobobobobobobobobobobobobobobobobobobobobobobobobo3bo$204bobobobobo
bobobobobobobobobobobobobobobobobobobo$206bobobobobobobobobobobobobobo
bobobobobobobo3bo$206bobobobobobobobobobobobobobobobobobobobobo$206bob
obobobobobobobobobobobobobobobobobo3bo$206bobobobobobobobobobobobobobo
bobobobobo$206bobobobobobobobobobobobobobobobobo3bo$208bobobobobobobob
obobobobobobobobo$210bobobobobobobobobobobobobo3bo$210bobobobobobobobo
bobobobobo$210bobobobobobobobobobobo3bo$210bobobobobobobobobobobo$210b
obobobobobobobobo3bo$212bobobobobobobobo$214bobobobobo3bo$214bobobobob
o$214bobobo3bo$214bobobo$214bo3bo$213bo$214bobo$215bo$216b2o!

Similar ships and related spacefillers commonly emerge in some other chaotic rules, including B2o3m4-o56/S2o3-m4-o56H and B2o3-o4-o56S2o3o4-o56:

Code: Select all

x = 23, y = 25, rule = B2o3-o4-o56/S2o3o4-o56H
ob2obobob6obo3b3o$2o2bob3obob2ob2obobo$o2b3o2bob2o2b3ob2obo$bobobo3bo
2b6ob3o$b7ob9o2bobo$b4obob7o2b5o$3ob2obob2obob9o$o3bo2bob2ob6o3b2o$5ob
2ob3ob7o2bo$15obob2obo$o2b3ob8o3bob3o$3b3obob6obo2b3o$6ob2obob3o2b6o$
3o2b2o3bobo3b3ob3o$2b2obo2b5ob2ob2o3bo$3o2b4obob11o$ob6o4bo2b2o2b3o$ob
3obo3b2ob3ob2o2b2o$2obob4ob4o3b5o$5o2bob6obo3bo$o5b3obob3o2b2o3bo$2bob
3o3bob7ob2o$o2b4ob5obobo2bobo$2o3b2o2b5obo2bobobo$3o2b3ob4o2b2obo!

Code: Select all

x = 23, y = 25, rule = B2o3-o4-o56/S2o3o4-o56H
3o2b2obob2ob2ob2o2b3o$3obob2o2b3obo4bo$2b2ob3o2bob2o3b3o2bo$o2bob4o2b
3ob4ob3o$obob2obobobobob2ob2o2bo$bob2o2bob5obo2bob2o$2bob2o4b3ob2ob3ob
2o$3o3b4obob5obob2o$ob3obob3obob2o2b2obo$2b2ob2ob2ob5o2bo2bo$2ob3ob3ob
o2b4o3bo$3o2b4o2b4o3b3obo$bobob3ob5ob2ob3o$bo2b6obobo4b5o$ob3o2b2obob
2o4bob3o$2obo2bobob4ob3o4bo$5o2bobobob6o3bo$6obo3b12o$ob4ob3ob3ob3ob4o
$2b7o2bo4b6o$2ob2o2b3o5b3ob3o$bobobobo3bobob2obo2bo$bob2o2b4o2b2obo3b
2o$o2b2obobob2ob5ob2obo$3b2ob2obobob3obob4o!

Code: Select all

x = 23, y = 25, rule = B2o3-o4-o56/S2o3o4-o56H
5ob5obo2b2obobobo$o4bobobob5o3b2obo$obobo3b3ob2ob4ob3o$obob3o2bob2obo
2bob4o$bob2ob2obob4ob2ob4o$4o5b3ob3o2b2ob2o$2b2ob10obobo2bo$2o4b3o2b2o
b3o2b4o$ob2ob2o2bobo2b8o$b5o2b2ob2ob3obo2b2o$b3o2b2o3b3o2bobo3bo$3ob3o
bob2obo2b2obo$3o2b2ob2ob2obo4bo2bo$2ob3ob2obob2o2b4ob2o$o2b3o5b6ob3obo
$4ob3o2b3ob2o2b5o$3o3bo2bo4bobob5o$8ob5ob2ob5o$2ob3o2bob2o2b3obobo$ob
6obo4bo3b5o$5ob2o2bo2b4o3bobo$3obob11o3b3o$b2o2b2ob2o3bob2o3b3o$b3obob
2ob2o2b4o4bo$2obobo3bob3ob2ob4o!

Some other such rules resemble infinite growth patterns in Stains (B3678/S235678). These include B2o3o4-m56/S2m3-o4-o56H and B2-m3o4-m56/S2m3-o4m56H.

Code: Select all

x = 40, y = 32, rule = B2o3o4-m56/S2m3-o4-o56H
4$10bo$9b4o$5bo4b3o$4b4ob5o$5b7obo4bo$4b7o2b3ob2o$6b7ob6o$5b15o$7b14o$
7bob2obob6o$9bo4b5o$16b5obo$18b7o$18b9o$20b9o$20bob9o$22bob9o$24bob7o$
26bob4obo$28bob3obo$30bob2o$32bobo!

Code: Select all

x = 40, y = 48, rule = B2-m3o4-m56S2m3-o4m56H
11$14bo$15b2o$14b3o$16b3o$16b2o$15bob3o$16b4o$16b3obo$15bob3o$16b4o$
16b3obo$15bob3o$16b4o$16b3obo$15bob3o$16b4o$15b4obo$16b4o$16bo2b2o!

Another interesting behavior is very slow "crystallization" of random soups into blinking honeycombs, e.g. B2-o3-p4-m56/S2m3p4o56H and B2-o34-m56/S2m4o56H.

Code: Select all

x = 45, y = 41, rule = B2-o3-p4-m56S2m3p4o56H
5$7bob2o2bo4bob3ob2ob6ob3o$8b3o3b2obobob5ob3obo3b2o$7bob2ob3o2b6o3b3ob
ob5o$7b3obob2ob2ob5obobobob5o$7b6ob3ob2ob7o2b4obo$9b9o2b3ob3o2bob5o$8b
2obob4obob2o2b6o3b2obo$7b2o2bobo3b2ob4o2b6o2bo$7b3ob2obob2ob4ob2ob6ob
3o$8bob5o2b2ob4o2b2ob2obo2b2o$7bobo3bo2bo2b2obo2b3ob2obo2bo$10bob2obo
2bob3obo2bo2b5o$7bo3b2ob7ob9o4bo$7bo2b4obo2bob2ob6ob5obo$7bobobob2ob4o
bo2b7ob4o$7b4o2b3ob2o5b2obo3b2ob3o$10b4obob8o2b4obobo$8bobob3ob3ob5ob
2ob3o2b3o$8b4o3b2ob2o2b2ob4o2b2obo$7bo2b7ob4o2b3ob2ob2o2b2o$7bo2b3o2b
2ob17obo$8b2o2bobo2b2ob6ob4ob5o$10b3ob2obo3b3ob2o2b3obob2o$7b2obob2o2b
2ob3ob11obo$9bo2bo6b7ob3obo2b2o$7b10ob2o3bo4b5obobo$7bo5b3ob7obob10o$
8b3obob2obobobobobo3b2ob5o$9b6obob2ob4obob5obo$7bob7o2bo5bob7ob2o!

B2o4-p/S012p34-o56H explodes into a "network" of railroad-like puffers. Similar structures appear in non-explosive rules like B2o4-m/S012m34-o56H.

Code: Select all

x = 10, y = 10, rule = B2o4-pS012p34-o56H
2o2bob4o$2b4o3bo$obo2b2ob2o$b4ob4o$bo3b5o$2obo2bobo$2b2obob3o$obob3o2b
o$bob4obo$ob3ob2obo!

I used the following script, which I wrote to emulate isotropic non-totalistic hexagonal rules in Golly:

https://github.com/yoelmatveyev/Firewor ... unction.py

Below are ready to use ruletables. Enjoy!

https://github.com/yoelmatveyev/Firewor ... /Rules/hex

[confocaloid]

I believe the rule HexInverseFire belongs to this rulespace:

Code: Select all

x = 90, y = 90, rule = R1,C0,S2-3,6-9,11-15,B5,10-11,14-15,NW410104041H:T90,90
37$46bo$43bob3o$43b3o$44bobo$44b3o17$44bo$45bo$45bo$45bo$45bo12$44bo$
45bo$45bo$45bo$45bo$45bo!

Code: Select all

x = 90, y = 90, rule = R1,C0,S2-3,6-9,11-15,B5,10-11,14-15,NW410104041H:T90,90
90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$
90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$
90o$90o$90o$46ob43o$43obo3b42o$43o3b44o$44obob43o$44o3b43o$90o$90o$90o
$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$44ob45o$45ob44o$
45ob44o$45ob44o$45ob44o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$
44ob45o$45ob44o$45ob44o$45ob44o$45ob44o$45ob44o$90o$90o$90o$90o$90o$
90o$90o$90o$90o$90o!

I was able to submit some hauls: census/b2-m4-m56s2m34m56h
Orthogonal 2c/12 spaceship:

Code: Select all

x = 5, y = 5, rule = B2-m4-m56/S2m34m56H
3bo$2bobo$b4o$ob3o$b3o!

p9, p10, p10, p12, p13, p20, p27, p73 oscillators:

Code: Select all

x = 153, y = 19, rule = B2-m4-m56/S2m34m56H
91b3o4b3o$91b3o5b3o$91b5o2b5o$26b2ob2ob2o16b2o2b2o37b3o3b3o$26b3o3b3o
14b2ob3ob2o35b10o17b2o3bo$12b2o13b2ob2ob2o14bob6obo16b3o17b7o20bo3bo$
12b3o11bo9bo13b9o14b2ob3o16b8o20bo2bo12bo2b2o2b2o2bo$12b4o10bobo2b2o2b
obo12b4o2b4o13b7o11bobob9obobo15bob2o13b3ob3ob3o$13b3o12bobo3bobo12b4o
bobob4o10bob5o12b18o11b3ob2o15b10o$13b4o9b2o2bo4bo2b2o9bob2o6b2obo9b9o
10b19o10bo2b5o2bo10b3ob3ob3o$3o11b3o9b3o9b3o9b5o3b5o9b10o10b18o15b2ob
3o10bo2b2o2b2o2bo$4o10b4o9b2o2bo4bo2b2o9bob2o6b2obo9b9o11bobob9obobo
14b2obo$b3o12bo13bobo3bobo12b4obobob4o10bob5o17b8o18bo2bo$b4o11b2o11bo
bo2b2o2bobo12b4o2b4o13b7o16b7o18bo3bo$2b3o11b3o11bo9bo13b9o14b2ob3o15b
10o17bo3b2o$32b2ob2ob2o14bob6obo16b3o16b3o3b3o$32b3o3b3o14b2ob3ob2o34b
5o2b5o$33b2ob2ob2o16b2o2b2o36b3o5b3o$100b3o4b3o!

An old post:

Lets kick things off with HexInverseFire, a rule by Ben Schaeffer. HexInverseFire is a hexagonal rule, in which the NE and SW corners are weighted to zero.

NW4,NN1,NE0,WW1,ME0,EE4,SW0,SS4,SE1,HI0,
RS2,RS3,RS6,RS7,RS8,RS9,RS11,RS12,RS13,RS14,RS15,
RB5,RB10,RB11,RB14,RB15

A good introduction to HexInverseFire is to simply fill in a large rectangle and watch what happens.

But beyond that, here's a really neat pattern:

Code: Select all

x = 158, y = 19, rule = HexInverseFire
151bo2$149bobobobo$152b2o$70bobobo76b5o$obo68b2ob2o77b2o$2o70b5o74bobo
bobo$3o65bo$obob2o63b2o4b2o68b3o7bo$ob3o68bo70b3o$3bo69bobo70b3o$2bo
67bo4bo70b2o$70b2o76bo$69bo77b4o$146b6o$145b7o$149bob4o$149bobo2bo$
150bo!

It would be accurate to describe it as a p594 oscillator, but it seems more descriptive to describe it as a spaceship that travels in a circle. I'm including three of them -- one traveling clockwise, one traveling counter-clockwise, and one next to a p2 oscillator. If you run this pattern at just the right speed, it looks like a spaceship orbiting a star.
[...]

[Yoel]

HexInverseFire is a very interesting rule!

I recommend using my rule tree generator, which produces hashlife-friendly rules that avoid the limitations of the LtL algorithm.

Code: Select all

# Name this file B2-m4-m56S2m34m56H.tree
# Copy it into your rules directory
num_states=2
num_neighbors=8
num_nodes=38
1 0 0
2 0 0
1 0 1
2 0 2
3 1 3
1 1 0
2 0 5
2 5 2
3 6 7
4 4 8
2 2 2
2 2 5
3 10 11
4 8 12
5 9 13
1 1 1
2 2 15
3 10 16
4 12 17
5 13 18
6 14 19
7 20 20
8 21 21
3 3 10
3 7 10
4 23 24
2 5 15
3 11 26
4 24 27
5 25 28
2 15 15
3 16 30
4 27 31
5 28 32
6 29 33
7 34 34
8 35 35
9 22 36

[confocaloid]

HexInverseFire is a very interesting rule!

I recommend using my rule tree generator, which produces hashlife-friendly rules that avoid the limitations of the LtL algorithm.
[...]

Another possibility is to use "MAP" rulestrings: viewtopic.php?p=55715#p55715
https://gist.github.com/vyznev/0ef7eb2a ... 647f10d685

Code: Select all

#C B2-m4-m56/S2m34m56H is another rulestring for the same CA
x = 184, y = 62, rule = MAPFAMpVilWA/1AP5VrlWs/1w
94b3o4b3o$94b3o5b3o$94b5o2b5o$29b2ob2ob2o16b2o2b2o37b3o3b3o$29b3o3b3o
14b2ob3ob2o35b10o17b2o3bo$15b2o13b2ob2ob2o14bob6obo16b3o17b7o20bo3bo$
15b3o11bo9bo13b9o14b2ob3o16b8o20bo2bo12bo2b2o2b2o2bo$15b4o10bobo2b2o2b
obo12b4o2b4o13b7o11bobob9obobo15bob2o13b3ob3ob3o$16b3o12bobo3bobo12b4o
bobob4o10bob5o12b18o11b3ob2o15b10o$16b4o9b2o2bo4bo2b2o9bob2o6b2obo9b9o
10b19o10bo2b5o2bo10b3ob3ob3o$3b3o11b3o9b3o9b3o9b5o3b5o9b10o10b18o15b2o
b3o10bo2b2o2b2o2bo$3b4o10b4o9b2o2bo4bo2b2o9bob2o6b2obo9b9o11bobob9obob
o14b2obo$4b3o12bo13bobo3bobo12b4obobob4o10bob5o17b8o18bo2bo51bo$4b4o
11b2o11bobo2b2o2bobo12b4o2b4o13b7o16b7o18bo3bo47bob3o$5b3o11b3o11bo9bo
13b9o14b2ob3o15b10o17bo3b2o45b3o$35b2ob2ob2o14bob6obo16b3o16b3o3b3o69b
obo$35b3o3b3o14b2ob3ob2o34b5o2b5o67b3o$36b2ob2ob2o16b2o2b2o36b3o5b3o$
103b3o4b3o22$o$bo$bo$bo$bo12$o$bo$bo$bo$bo$bo!

[muzik]

I've been trying to see if there are any rules with Day and Night-like dynamics, but no successes so far:

Code: Select all

x = 76, y = 61, rule = R2,C2,S6-7,9-10,12-18,B7,10,13-18,NH
ob5o4b3o3bobo2b2o2bobo2bo2b3o2bo2b2obo5bo2bobo2b2o4b3o5bobo$2o8bo2b2o
bobob2o4bo4b4o3bobo2b4o2bo2bobo4b4ob2ob9o$b2obo3bobobobob4obo2b2o5b3o
3b2o2b2ob3ob3o2bo2bobobo7bo3b3o$o3bob4o3b2ob10obob2ob2ob3obo3bo3b2ob2o
bob3o2b6ob3ob4o$4ob3ob2ob3o2bobo3b3o2b2o2b3o2bobo3b7obo2b3o3b3ob4ob5o
$b8o3bobob2obobo4bo3bob2ob3o5b2o2b3ob3obob2obo2b7obob3o$2b6ob2ob2ob3o
4b4o6bo4b4obob2ob2o3bo3b2obo4b2o2bo2bo$obo4bob4obo4b2o2bo2bobo3bobo2b
o4b4ob2o2b5o2b3o2b4o3bo3bo$6b2o3b2obo7bo4b10o2b2o2bobo5b2obobob2o3bob
2o5b3o$3o3b3obo6bobo3b4ob3o5b3o2bo2b3obob2o5b2o2bo2bobob5o$b2o2b3ob3o
3b3obo6bo4bo2b2o5bobobo2bobobo2b5o2bo3b2o2bo3b2o$4o3b2o2bob4ob2ob2o2b
5o3bob3o2b2o2b2o4b2obo3bobo2bo3b3o2bo$2b3o3bo2bob5o3b2ob3o3b4o3bo2bob
ob4ob3o2bo2bo3bo3bobobob2ob2o$o4b2ob2o2bo2bo2b4o2b5o2bo4bo3bo2bo2b3o2b
o6bo2b2o2b4o2b4o$bob3o2bo7b3o3bob2obobo2b10obobo5b2o3bo2bob2ob10obo$2o
b2o3bo4b5obob2obo6b2o2b2ob2ob2obob4o4b2ob4ob4o3b4ob2o$3b2o2b2obobo2bo
b5o6bo7b4obo4b2ob2obob2o2bobob2ob2o2bo2bo$b2obob3o3b3o2bob3obob2ob3o3b
4ob3obo2bob2obo2b2o2bo3bo4b2o2bob2o$o2b3ob2o4bo3bobo3b3o2bob3ob3o3bo2b
ob2o2bob2obo2bobo6b2ob4obo$2bob2o2b2o2b2o2bobo2bobob2ob3o4b2o4b2ob3o2b
o2bob2o2b4obo2bob2ob3o$ob5o2bobo4b3o2bo2bo3bobobob2o4bo2b3obob3ob2o2b
o3bobo5b3ob2o$2o3b2ob4o4b5ob3obo8b4o4b4ob2o3bo3b2o2bo2b3obo2b3o$bobob
2o3b3o4b3ob2obo2bo2b2ob4ob2obob2ob3o4b2o5bob4o2bob2o2bo$bo4b2o3b2o6b4o
2b4ob3obobo7b2o3bobo4bob5obobo5b3o$2o2bo2bo3b2o3bo2bobo3b2ob3o4bo4bob
obo2b2o4b2obo6bob3o3bo2b2o$ob4o3bobo2b4obo3bo2b3o3b2o2b2o3b2o2bob4o3b
ob2o4b3o2b2o3b2obo$6bo2bobo3b2ob3ob2obob2ob5ob4o2bo2bo2bo4b2obob2o4bo
bob4obobo$2o2bo6b4o2bo4bo2b3o3b4obobob3ob3o3b2o2b2ob2o2bobo2b4ob2obo$
o2bob2o2bo2bo3b2o2b3o4bo2bob4o2bobo3b6ob5ob4ob3o4b6o$3bobob4obob2obo2b
3o2bo2bob2ob2o3b5o2bobo3bo6b4ob2o3bo5bo$obo2b3ob3o2bobob3o2bo3b2o2bo4b
obo2bobo4bob2o5b2o2b2obobobob6o$2o2bo3b3obob2ob4obobo2bob2obob2o2bobo
3bo2b3obo4b4o3b2o2b3o2b2o$3b2ob6o2b2o3bobobo3bo2b2o3bo2bo3b2ob4o2b2o3b
3o4bo3b2obo3b2o$3ob3o2b2o2bo8b4o2b7ob2ob5ob2obo2b3obo2bo2bob2ob4obob3o
$2o4b2o5bo2bobob6o5bob2ob2o2b2o2b2ob2o2b4o2b2o5bob2obob3o$3ob3o2bo3b2o
bobobo6bo2bo5b2ob5o5b8obo4b2o2bobobo2b2o$2bob2ob7o4bo3b3o4b3obo4bo3bo
4b2obo3bo4bob3o2bo2b2ob4o$bob2obo2b2obo2bobob2o2b2obob2o2bo2b3obo5b2o
bobobobo2b2ob4o3bob2obo$b6o2b2obo4b3obob4o5b8ob2o3bobo2bob3ob3o2bobob
2ob2o2bo$b2obo2b4ob2obo8b4o3b2ob3o2b2obo2b5obo4bo4bo2b3o3b3ob2o$4b2ob
2ob6o5bo2bob2ob2o2bob3ob2o3b2obo2b3obob3o3b5o2b4o$2bo5bob3ob10obobob5o
bo2bob2obo2b4o5b2obo2bo2b8o$obo4bo3b3ob3o5bobo5bob2o2bobobo2b3o2b2ob5o
4bobo2b2o3bo2bo$3bobo5bo3b6ob4o2b2o6b3o2b5ob2obo6bob2ob2o2bob3obobo$7o
b3o3b5obo2b3ob3obo2b2ob7o2b2obobo2bo4b3o4bob3o2bo$bo3bo3bob2o3bobobo2b
ob5obob2obobob3ob3o3b2o3b2obo9b2obob3o$3o3bo3b5o4b2o3b3o3bobobobobobo
bob2o3b2obo7b3obob4o4bo$2bo5bob4ob3ob3o2bobo4bo4bo7bobo2b4ob2ob2obob3o
4b3o3bo$o3bobo5bobob4o2bo2bobo2bobo2b4obo3b2o2b2o4b2ob3ob4ob4o4b2o$3o
b4ob2o2bobo3b2obo3bo2b7ob2obo2bob3o4b3o3bobo5bo2bo2b3o$o2bo2b2o2bob3o
bobo2bo2b2o4b2obob2o3bo2b3o3bo2b2o3b4ob2obo2bobob2o$4b2obob2o3b2o4bo2b
o4b4ob4o5bob7o2bobobo2b2o2bo2bo3bo3bo$2bo2bob2o3bo3b3o2bobobo2bobo4bo
3b4o3bobo2b3o2b2ob2ob5ob3o3b2o$2bobob3ob4o4b3o2bobob9obo2bobo9b2ob10o
2b3obobo$obobobo5b4obo2bobobobob2ob3o3bo6b2o8b5ob3obo2b4obo$obo3b2o2b
o2bo2b2o3b2o2b2ob2ob2o6b5obo2b3ob2ob2o2bo2b2ob3o2b3obo$2bob2ob2obob4o
bo2bo2bobo4bo3b3o4bob5o3b3obob2ob2obobo2b2o4bo$2bo2bo2bobob2o2b2o7b4o
bo3bo4b3o3bobo2bobob3o2b2obo2bo2bo3bo2bo$3obob4o4bobobobo2b2o2bo6b3ob
ob2ob4obo3b2o2b2ob2obob5o3b3o$2b3o3b4o2b5o2bobobob5obo2bobob2ob3obo4b
2obob3o2b2o2b3ob3o$bo8bobobo2bo2b3obo3bo2b2o4b2ob3obob5o2b5o3bob2obob
3o!

Mainly interested in finding a large, blobby oscillator much like the following, with C6 symmetry that flips hallways through its period.

Code: Select all

x = 17, y = 17, rule = B3-r4cekz5aei6-ae78/S2ae3-aei4-cekz5r678
7b5o$9bo3bo$7b5o$bob2ob8o$3b11o$ob11o$ob12o$15obo$ob13obo$ob15o$3b12obo$4b11o
bo$3b11o$3b8ob2obo$5b5o$3bo3bo$5b5o!

[confocaloid]

I've been trying to see if there are any rules with Day and Night-like dynamics, but no successes so far: [...]

There are several known interesting self-complementary CA on {6,3}, mentioned in this thread.

[...] that flips hallways through its period.

Here are two known oscillators from Hexogen (B2o3-o4-m56/S2m3o4-o56H):

Code: Select all

x = 21, y = 21, rule = B2o3-o4-m56/S2m3o4-o56H
5b3o$3bobo$5b5o$obo2b2o5bo$obo3b3o$obo2b6ob4o$b2ob11obo$2b12obobo$bob
6ob5obo$5b3o4b3o2bo$5b4o3b4o$3bo2b3o4b3o$4bob5ob6obo$3bobob12o$4bob11o
b2o$5b4ob6o2bobo$12b3o3bobo$8bo5b2o2bobo$11b5o$15bobo$13b3o!

Code: Select all

x = 16, y = 16, rule = B2o3-o4-m56/S2m3o4-o56H
4bo$4b3o$2b2ob2obo$2bobob3o$3bo2b2o$4b4o$4b5o$2o2b6o$2b11o$b10o2bo$2b
2o2b5ob2o$2b2obob5o$5bobo3b4o$6b2o4b4o$12bobo$13bo!

[muzik]

Here are two known oscillators from Hexogen (B2o3-o4-m56/S2m3o4-o56H):

Code: Select all

x = 21, y = 21, rule = B2o3-o4-m56/S2m3o4-o56H
5b3o$3bobo$5b5o$obo2b2o5bo$obo3b3o$obo2b6ob4o$b2ob11obo$2b12obobo$bob
6ob5obo$5b3o4b3o2bo$5b4o3b4o$3bo2b3o4b3o$4bob5ob6obo$3bobob12o$4bob11o
b2o$5b4ob6o2bobo$12b3o3bobo$8bo5b2o2bobo$11b5o$15bobo$13b3o!

Code: Select all

x = 16, y = 16, rule = B2o3-o4-m56/S2m3o4-o56H
4bo$4b3o$2b2ob2obo$2bobob3o$3bo2b2o$4b4o$4b5o$2o2b6o$2b11o$b10o2bo$2b
2o2b5ob2o$2b2obob5o$5bobo3b4o$6b2o4b4o$12bobo$13bo!

The first oscillator is of the correct symmetry, though there are some stator cells and the center doesn't turn off and on, which isn't ideal. The second is of a lower symmetry (C3_1 rather than C6), though is otherwise a very good example of that specific kinetic symmetry.

Ideally I'm wanting something of volatility 1, and where the center switches on alongside all of the gutteroid cells. The following oscillator fits that description, but can no longer be identified as of March 2023 due to B0 Identify support being dropped:

Code: Select all

x = 27, y = 27, rule = R2,C0,S0-5,10,B0,2-3,6-7,NH
10bo3$o7$23bo6$3bo7$26bo3$16bo!

Period maps for said oscillator generated using older versions of LifeViewer. Note how all three orthogonal gutteroids and all three diagonal gutteroids are visible here, intersecting in the center. (This predates the recent change where hexagonal period maps use offset rectangles.)

cellmapwithgrid.png (10.7 KiB) Viewed 2587 times

cellmapnogrid.png (830 Bytes) Viewed 2587 times

[muzik]

Rediscovered one of the OP rules that eventually explodes when we get puffers forming:

Code: Select all

x = 64, y = 64, rule = B2o3m4-m56/S2m3-m4-o56H
3b6o2bo2bob3o4bo3b6o2b2o2bo2bobobob2ob4o2b2o3bo$2o2bo2bo3bo4bo3bo2b3o
bobobobob3o2b4o4b2o4bobo4bobo$bo4bo2b2o4bob5o2b2obobob2o3b2o4bo3bo2b2o
3bobo3bo2bo$b2ob2ob2obob9o5b2obobob2o2b3obob2o2bo2bo2b2o7bo$obo2bo2bo
bo3b2ob2o2bo2bobo2b5o3b2obo3bob2obobo3bobob2ob2o$b2o3bobob2o2b4obo2bo
2b4o3bobo3bo2b2ob5obo2bo2bo5b2o$3b2obob3o3b4obo2b3ob5o4bo6bo2bobo4b2o
b2ob4obo$o3b4obobob2ob5o2b5o9bo2b4ob2o2bobob4o3b4o$2b2o3bobo3bob4o2bo
b3ob3obob2ob3o2bob2ob2o2bo4bo4b2o$3bo2bo2b3o2bo2bo2bo2bo4b4o2bo2b3ob2o
bobob2ob2ob4o2bo2bo$5obobobo4bob4obo3bo8bob2o3b5o2bob3o3bo2b4o$2o2b3o
2b6obob2ob2o2bo3bo2b4o2b3o2b2o4b2o5b2o3bo$bob5o2bobo2bo3bo5bobo2bob3o
bobob3obo3b2ob4ob3o2b2o$b2o9b2obo2b2ob3ob3obo2b2ob4ob4o2bo2bob4ob2obo
bo$bob3ob2o2bo2bobo2b2ob6ob4obo2b3o2bob2o4bo4b3obo3bo$b8o3bo3bob3o2b2o
3bob2ob4o3bo2b2o3bo2b2o3b5o$o4bo3b2obo5b6obobo3b4ob3o3bo2bobob3o2bobo
2bo$bo2bob3obobobo2b6o3b2ob2obo9bo2b4obo3bo2bob3o$b2obobob2o2b2ob2ob2o
3b4ob2o2b2o3b2o2bob2ob2o3b4obob3obo$o4bobo2bo5bo3b2o6bo3bob3obob4ob3o
bo2b4o2bob2o$3b3ob4o2bobo5b3o2b2o2b5o4bob3ob3o2bo2b3obo2bo$bo6bo2bobo
b2ob2ob2obobobob2obobobo2b3o2b2o2bo3bobo2b2o3bo$2ob2o2bobo4bobob2ob2o
2bo4b2ob5o2b4obo3bo3b4o2b2o$ob4o3b4o2b3obobobob2o2bo3bobo2b2o2bob2o3b
3o2bo2bo2b3o$5obo2b4obob4o3bob2obobobo5b2o2b3o4b2ob3o3b3ob2o$4o3b4o3b
ob4obo3bob3ob2o2b3ob2obo4bob2ob2ob3o2bobo$3ob3o2b2o3b7o6b5ob3o2bob10o
b2ob2obobo2b2o$bo7b2o2bob3obobo4b2o2bo3b2obobobo3b2obob3o6bob2o$b2obo
b3ob2o3bo6bo3b2obo4bob4o3bo2bo2bo2b2obob4obo$b3ob2ob8obo3bobo7b3o2b2o
b2o2bo2b2o2b2ob2o4bobo$b2ob5ob3o4b2ob3o3bob2obob2obo2b2ob4obobo3b8o2b
o$3obo2bo2b3o3b2o3b2obobo2bo4bo3b5o3bo3bo6bo2b2obo$b2o4bobob2ob3obobo
bob3ob3o4b3obobo4b3ob4ob4o4bo$bo2b6o3b5o7bob2o2bob8o3bo2bobob5ob6o$3o
4b3o3b2obobobo2b2o5bo3bob2obobob5obo5bo5b2o$3ob2o2bo2b4o2b6o6bobo2b2o
2bobo2b2ob3obob4obo2bob2o$bo3bo2b4obo3bobo2bob3ob3o3b2ob2ob2obo2b2o3b
3o3bo4bo$2b2o4bob3ob2o2b2o2b2ob4o2b3obo2bob2o3bo3b2obo4bobo3bo$4bobob
o3bo4b2obo6bo4bob4obo3bo2b2o6bob2o3bo$5o2bob3o2b3o2b8ob5o2bob2o4b3ob2o
bobobobo$3o2bo5b4obob3ob6ob2o2bo5b4o3b2o5b8ob2o$3b4ob4o3b5obob4o4bob3o
bob2ob8o2b3o5bo$5o4bob2obobo3b4ob2o6bo2b2ob7obob2o3b3o2bo$3o5b2o3bo3b
obobob2o2b2o2bob2ob2o3bobobo4b5o2b4ob2o$2bo2b2ob3ob3o3b4o3bo2b2o3b3o2b
o2bob2o2b4obobo2bobo2bo$4b2obo9bo2bobo2b6o3bob3obob2o3bo2bo3bobob2obo
bo$4o3bob2o2b2o2bo3b2o2bob2obobo4bob3o3bob2ob3o5bob4o$2o4bobob4o3b5o2b
3o2bobobo3bobo3b2ob2o2b3ob8o$2obob2o4b2ob5obo2b2o2b5ob3o3b3o2b3o2b7o2b
ob4o$obo3bobo2b4o5bob2o6b7ob2o2bo4bobo6b2ob4o$5b3o2bo4b5o4b4o6b2o3bo3b
o2b3o2b3obobo4b2o$3o3b2ob2obo3bo4bo3bobo2b2ob2o2b2o5bobobo4bo4bo2bobo
$o3bo2bo4b3obobob3o3b3o4b2o2b6ob2o2b4ob3obobob3o$4ob2o2bob2o2b5ob2ob2o
bo3bob2ob2o3b2o2bob2o2b2ob2o4bobo$o2b6obo2bo4bob3obob3obobo7b4o2bo2bo
5b3obobobo$3ob2o5bo3b3obob2obo3b3obob2ob2obob2o4b3o7bo3bo$3o2b7ob2obo
b3obo3bo4b3o2b3obo2bobo4b2o3bob5obo$bob2obob2o2bob7o3bo2bo2b4o3b5o4bo
2bobo2bo2b3o2b2o$b6ob2ob5obo2bo2bo2b2o4bo4b4o4b4obo3bob2o2b2obo$b2o6b
3obobo2b2o3b2o3b5o3b2o2bo2bo2bo2b3o3b2o2b3obo$3o2bo3b2o3b3o4bo6b2ob3o
bo2b2obo3b2obobobobo2bo2b3o$2b2o4bo2bo8bo6b4o2bobo2bo2b2o3b3ob4o4b2ob
3o$o2bobob2o7bo2bo3bob2obob4ob6ob5ob3o2b3ob2obo2bo$4o2b3ob3ob2ob2obob
4obob4ob2o3b4o2b3o2bo4bo5b3o!