Thread For Your Unrecognised CA

[TheWayOfTheCon]

This is the smallest rule with an explosive domino:

Code: Select all

#C [[ THEME MONO ]]
x = 1, y = 2, rule = B2ack
o$o!

What do you mean by "smallest rule"?

They probably mean the rule with the lowest number of conditions.

[I6_I6]

This is the smallest rule with an explosive domino:

Code: Select all

#C [[ THEME MONO ]]
x = 1, y = 2, rule = B2ack
o$o!

What do you mean by "smallest rule"?

They probably mean the rule with the lowest number of conditions.

B1c/S0 has less transitions:

Code: Select all

x = 1, y = 2, rule = B1c/S0
o$o!

[R2INT]

I have found a stable zebra-complementary rule with a (seminatural) c/12 spaceship (too bad it can't be natural because this rule is explosive on odd symmetry):

Code: Select all

x = 32, y = 32, rule = B2cek3cjry4iqrty5aik6ace7c/S01e2ikn3-aik4-ijntw5-cjry6ain78
18b2o2b2o2bobob2o$17bobobobo2bobob2o$16b2o4bo2b5o$21b5o3b3o$17b2ob4o2b
2o2b2o$16b2obo2bob3ob3o$16bobo2b8o$21bo2bo5bo$19bobo3b5obo$16b2obobo2b
2o2bo$16b2ob4obobo2b2o$16b2obob3o3bobobo$16bo4b2o4b2ob2o$16bob2ob9obo
$17b2ob4ob2o2bo$16bobo3b2o2bo$5bo2b2o3bobo$2bo2b2ob4ob2o$ob9ob2obo$2o
b2o4b2o4bo$obobo3b3obob2o$b2o2bobob4ob2o$3bo2b2o2bobob2o$ob5o3bobo$bo
5bo2bo$3b8o2bobo$b3ob3obo2bob2o$2o2b2o2b4ob2o$3o3b5o$2b5o2bo4b2o$2obo
bo2bobobobo$2obobo2b2o2b2o!

Census: https://catagolue.hatsya.com/census/b2c ... ain78/C2_4

EDIT: natural c/2o and c/38d in another rule:

Code: Select all

x = 16, y = 16, rule = B2ek3ijq4qry5akqy6ae/S012-ae3-akqy4-jnw5-ijq6-ek78
3b2o2bo2b2o2b2o$3b3ob6ob2o$b2obo3b2o4bo$bobob4obob3o$2o4bob7o$ob2ob3o
3bob3o$o2bobo2bob2ob2o$bob2o2bob2ob2obo$bobo2b2o2b6o$obo5b3o2b3o$2ob3o
2b3obo2bo$o3bo2b2o2b2o2bo$10obo$o3bo4bob2ob2o$bo4b3obobobo$2o3bo2b3ob
o2bo!

Code: Select all

x = 16, y = 16, rule = B2ek3ijq4qry5akqy6ae/S012-ae3-akqy4-jnw5-ijq6-ek78
o2bo2b5o2bobo$2b3obobobob2obo$obo2bo2b2ob3obo$2o2bobobo$3o2bo3b3obo$b
2ob3ob2ob2o$bobo5bob2ob2o$o2b4o4b2ob2o$4b4ob4o2bo$ob2o3bo2b2o2bo$b2o2b
2o4bob2o$2b4obo4bob2o$ob4o3b2o2b3o$b2ob3ob2obo$3bobo2bob3obo$3o2b4obo
!

EDIT2: in the previous rule: c/2o from ikpx2

Code: Select all

#C completed spaceship: xq2_gy8hfqu48z8050i2qaqaaaa8b1ules8gz0cs4rtovtmh5p9k0gu6g1zxghdddttcuvj7s6g1z8a8bdbbeo2qqvd331zy5116721
#C Catagolue URL: https://catagolue.hatsya.com/object/xq2_gy8hfqu48z8050i2qaqaaaa8b1ules8gz0cs4rtovtmh5p9k0gu6g1zxghdddttcuvj7s6g1z8a8bdbbeo2qqvd331zy5116721/b2cek3cjry4iqrty5aik6ace7cs01e2ikn3-aik4-ijntw5-cjry6ain78
#C breadth = 20
#CLL state-numbering golly
x = 240, y = 30, rule = B2cek3cjry4iqrty5aik6ace7c/S01e2ikn3-aik4-ijntw5-cjry6ain78
9bo32bo$8bobo30bobo35bo$7b3o4bo25b3o4bo30bobo35bo$3bo2b3o2b2o2bo20bo2b
3o2b2o2bo28b3o4bo30bobo33bo69bo$2bo2bobobob4o4bo15bo2bobobob4o4bo20bo
2b3o2b2o2bo28b3o4bo28bobo31bo35bobo$b4ob4o4bob2o2bo13b4ob4o4bob2o2bo18b
o2bobobob4o4bo20bo2b3o2b2o2bo26b3o4bo26bobo33b3o4bo$bob3o11b5o12bob3o
11b5o16b4ob4o4bob2o2bo18bo2bobobob4o4bo18bo2b3o2b2o2bo24b3o4bo25bo2b3o
2b2o2bo$4ob2obo3bob4o2b2o3bo7b4ob2obo3bob4o2b2o3bo12bob3o11b5o16b4ob4o
4bob2o2bo16bo2bobobob4o4bo16bo2b3o2b2o2bo23bo2bobobob4o4bo$o3bo3bobo2b
ob2o2b2ob2o2bo6bo3bo3bobo2bob2o2b2ob2o2bo10b4ob2obo3bob4o2b2o3bo12bob
3o11b5o14b4ob4o4bob2o2bo14bo2bobobob4o4bo18b4ob4o4bob2o2bo$6bobobo2b15o
11bobobo2b15o9bo3bo3bobo2bob2o2b2ob2o2bo10b4ob2obo3bob4o2b2o3bo10bob3o
11b5o12b4ob4o4bob2o2bo17bob3o11b5o$6bobobobo3b4obob2ob2o11bobobobo3b4o
bob2ob2o15bobobo2b15o9bo3bo3bobo2bob2o2b2ob2o2bo8b4ob2obo3bob4o2b2o3b
o8bob3o11b5o15b4ob2obo3bob4o2b2o3bo$6bobobo3bo2b2o2bob3o13bobobo3bo2b
2o2bob3o17bobobobo3b4obob2ob2o15bobobo2b15o7bo3bo3bobo2bob2o2b2ob2o2b
o6b4ob2obo3bob4o2b2o3bo11bo3bo3bobo2bob2o2b2ob2o2bo$6bobo2b2ob2ob3obo
3bo13bobo2b2ob2ob3obo3bo17bobobo3bo2b2o2bob3o17bobobobo3b4obob2ob2o13b
obobo2b15o5bo3bo3bobo2bob2o2b2ob2o2bo16bobobo2b15o$6bob3ob4ob3o3b2o14b
ob3ob4ob3o3b2o18bobo2b2ob2ob3obo3bo17bobobo3bo2b2o2bob3o15bobobobo3b4o
bob2ob2o11bobobo2b15o15bobobobo3b4obob2ob2o$6bobob6ob2o2b3o15bobob6ob
2o2b3o19bob3ob4ob3o3b2o18bobo2b2ob2ob3obo3bo15bobobo3bo2b2o2bob3o13bo
bobobo3b4obob2ob2o15bobobo3bo2b2o2bob3o$6bob2o3b3ob2ob2obo15bob2o3b3o
b2ob2obo19bobob6ob2o2b3o19bob3ob4ob3o3b2o16bobo2b2ob2ob3obo3bo13bobob
o3bo2b2o2bob3o17bobo2b2ob2ob3obo3bo$6bo3bob4ob2ob2obo15bo3bob4ob2ob2o
bo19bob2o3b3ob2ob2obo19bobob6ob2o2b3o17bob3ob4ob3o3b2o14bobo2b2ob2ob3o
bo3bo17bob3ob4ob3o3b2o$6bo2b3ob3o3b2ob2o15bo2b3ob3o3b2ob2o19bo3bob4ob
2ob2obo19bob2o3b3ob2ob2obo17bobob6ob2o2b3o15bob3ob4ob3o3b2o18bobob6ob
2o2b3o$12bo6b3obo15bo5bob2o3b3obo19bo2b3ob3o3b2ob2o19bo3bob4ob2ob2obo
17bob2o3b3ob2ob2obo15bobob6ob2o2b3o19bob2o3b3ob2ob2obo$5bobo4b3o8bo14b
3o3b2o2bo7bo25bo6b3obo19bo2b3ob3o3b2ob2o17bo3bob4ob2ob2obo15bob2o3b3o
b2ob2obo19bo3bob4ob2ob2obo$12b2o7bobo14bobo4b3o6bobo18bobo3bobo9bo25b
o6b3obo17bo2b3ob3o3b2ob2o15bo3bob4ob2ob2obo19bo2b3ob3o3b2ob2o$4bo3bo14b
o13b5o3bob2o7bo25bo8bobo18bobo4bo10bo23bo6b3obo15bo2b3ob3o3b2ob2o25bo
6b3obo$37bo3bo5bo26bo3bo3b2o9bo34bobo16bobo4bo10bo21bo6b3obo18bobo4b3o
8bo$82b2o27bo3bo2bobo9bo23bo8bobo14bobo3bobo9bo25b2o7bobo$146bo3bo3bo
10bo21bo8bobo17bo3b2o2b2o9bo$117bo3bo31b3o23bo3bo3bo10bo20b2o2b3o$153b
obo64b4o$152b5o64b2o$152bo3bo63bobo$220b3o!

EDIT3: c/4d

Code: Select all

#C completed spaceship: xq4_yckk94vu2gzy0goxgg0g63kvosbni9jp76zwgltsvuspuqvtc6nta4z5h7g7vjnvvvvvvubdzx24fkc8pvfjf1c73zy411
#C Catagolue URL: https://catagolue.hatsya.com/object/xq4_yckk94vu2gzy0goxgg0g63kvosbni9jp76zwgltsvuspuqvtc6nta4z5h7g7vjnvvvvvvubdzx24fkc8pvfjf1c73zy411/b2cek3cjry4iqrty5aik6ace7cs01e2ikn3-aik4-ijntw5-cjry6ain78
#C breadth = 16
#CLL state-numbering golly
x = 66, y = 30, rule = B2cek3cjry4iqrty5aik6ace7c/S01e2ikn3-aik4-ijntw5-cjry6ain78
9bo$7b4o36bo$6b4o35b4o$5bob3obo2bo29b4o$3bo2b3o3bobo28bob3obo2bo$6bob
3ob2obo25bo2b3o3bobo$bobob10obo27bob3ob2obo$2bob2ob10o22bobob10obo$ob
2o2b9o25bob2ob10o$b2o3b9o23bob2o2b9o$ob2ob9obo23b2o3b9o$b11o26bob2ob9o
bo$2ob10o2b3o21b11o$4b9o4bo20b2ob10o2b3o$b14o2bobo22b9o4bo$b2o2b2obob
ob2ob5o19b14o2bobo$3bo2bob2obob3obo4bo16b2o2b2obobob2ob5o$4bo3b2o2b2o
5b2ob2o17bo2bob2obob3obo4bo$4bo4bo3b2ob3o2bobo18bo3b2o2b2o5b2ob2o$14b
3o2bo2bob2o16bo4bo3b2ob3o2bobo$12bob4o2bo4b2o25b3o2bo2bob2o$16bo4b2ob
o25bob4o2bo4b2o$16bobobob3o29bo4b2obo$15bo2b3o33bobobob3o$16b3obo32bo
2b3o$17bobo34b3obo2b2o$18b3o34bobo3b5o$19bo36b3o2b2obo$57bo3b4o$61b2o
!

EDIT4: collection from qfind

Code: Select all

x = 527, y = 66, rule = B2cek3cjry4iqrty5aik6ace7c/S01e2ikn3-aik4-ijntw5-cjry6ain78
397b3o4b3o50bo14bo20bo13bo13bo$142b3o9b3o10bobo10b3o11bo6bo34bobo131b
3o10b5o10bo6bo51bo35bo12bobo11b3o$141b2ob2o7b2ob2o8bobobo8b2ob2o10bo6b
o33b2ob2o101bobo12bobo10b2ob2o9bo3bo8bobobo2bobobo47b5o10bo3bo16b2ob2o
10bobo11bobo$8bo22bo109bo3bo7bo3bo9bobo9bo3bo8b5o2b5o30b2o3b2o35bo64b
obo11bobobo9bo3bo9bo3bo8bo3bo2bo3bo46b3ob3o11bo18bo3bo9b2ob2o8bob3obo
$30bobo107b3ob3o5b3ob3o7b2ob2o7b3ob3o11bo2bo87bobo10bobo37bobobo9b2o3b
2o7bob3obo10bo10bo4b2o4bo46bob3obo8b2o3b2o14b2obob2o8bobobo8bo2bo2bo$
6bobobo132bo11bo12bo12bo11bo2b4o2bo31b2o3b2o33b5o8b3o11bo35bo2bo3bo2b
o8bobo10b2ob2o9bo3bo8b2o2bo2bo2b2o46bobobobo8bo2bo2bo14bob3obo8bobobo
8bo5bo$7bobo20bobo110bo10bobo10bobo10bobo10b2ob4ob2o32b2ob2o36bo10bob
o10b3o33bo2bob3obo2bo5b2obob2o8bo3bo11bo14bo2bo51b2ob2o10bo3bo16bobob
o9b5o8bobobobo$5b2o3b2o15b9o106bobo9bobo10bobo9b2ob2o9b2ob4ob2o32b5o34b
o3bo7b5o10bo34bo2b2o3b2o2bo7bobo10b2ob2o10bobo10b3ob2ob3o47bob3obo7b2o
bobob2o13b7o10bo9b4ob4o$4bo7bo128b5o8b3o8b7o8bobo13b4o35bo3bo36bo9bob
obo10bo34bo3b5o3bo19b2o3b2o8bobobo10b2ob2ob2o49bobobo12bo17bo5bo7bo2b
o2bo7bo2bo2bo$3b3o5b3o12bobo5bobo117bobo22bo3bo9b2o2b2o2b2o30bob5obo57b
obobo32bo4b3o4bo5bobobobo6b4ob4o5b2o5b2o7b3ob2ob3o46b2o5b2o6bobobobob
o13b2o3b2o6bob2ob2obo6bobobobo$3b3o2bo2b3o11bob2obobob2obo105bo10b3o9b
2ob2o9bobo10b3ob2ob3o31bobobobo32b2o3b2o7bobo8bobobobo31bo11bo19b2obo
b2o22b2o2b2o2b2o48b5o8bobo3bobo12bob2ob2obo5b2o5b2o7bobobo$2bob2obobo
b2obo13bob3obo117bob3obo21bobo12bo4bo33bobobobo33b5o9bo10b5o32bo11bo5b
2obob2o8bobobo8bobobobo8bobo4bobo47bo2bo2bo7bob2ob2obo13bo2bo2bo8b5o7b
o3bo3bo$b3obob3obob3o8bo3bo5bo3bo128bobo10bobo14b2o34b4ob4o31b2o3b2o8b
o47bo11bo4b2o2bo2b2o6b2obob2o7b7o8bobo4bobo45b2obo3bob2o5bo3bo3bo12b2o
b3ob2o6bob3obo5bo3bobo3bo$b3ob2o3b2ob3o8b2o2b2o3b2o2b2o112bobobobobo5b
o5bo8b3o13b4o33bobobobobo34bo7bob5obo7bobo33bo3b5o3bo5b2o3b2o7b7o7b7o
8bob6obo46b3o3b3o6bo3bo3bo15b3o10bo3bo6bob2o3b2obo$2o3bobobobo3b2o6bo
4bob3obo4bo111bo2bobo2bo5bo2bo2bo6b3ob3o10b6o32b2o2bo2b2o42b4ob4o6b5o
32bo2b2obob2o2bo5b2o3b2o7b3ob3o8b5o9bob6obo46bo2bobo2bo6b4ob4o15bobo8b
2o5b2o4bob7obo$o3b2obobob2o3bo6bo6b3o6bo111bobo3bobo5bo5bo9bo11b10o31b
2o3b2o33bobobo5b2obobob2o8bo34bo2b7o2bo4b4ob4o6b3ob3o10bo11bo8bo46bob
2ob2obo7b3ob3o17bo8bobo5bobo3bobobobobobo$o4b2o3b2o4bo6bo2b2o3bo3b2o2b
o111bobo3bobo6bo3bo8b2ob2o10b8o30b2ob2ob2ob2o32bobo6b2o5b2o5b2o3b2o31b
o2bo5bo2bo5b2o3b2o7bob3obo7bob3obo8b2ob4ob2o47bobobobo6b2obobobob2o10b
4obob4o3bobobobobobo3bo2b2ob2o2bo$o3b3obob3o3bo6bo3b2o5b2o3bo111b3o3b
3o4b2o2bo2b2o6b5o8bob8obo32b3o45b2o5b2o7b3o33bo2bobobobo2bo5bob3obo9b
3o9bo5bo8b3ob2ob3o46b4ob4o5bo4bo4bo10bobob3obobo3bob2obob2obo3bobo5bo
bo$o3b2obobob2o3bo6bo3b4ob4o3bo125b7o6b3ob3o7bo2b6o2bo29b4ob4o31bobob
obo4b9o43bo2bobobobo2bo5bo2bo2bo8b2ob2o8bobobobo8b2obo2bob2o47bo5bo5b
2ob3ob3ob2o9bob3ob3obo3bo2b5o2bo3bobo2bo2bobo$o3b3o3b3o3bo6bo3b2o2bo2b
2o3bo128bo9bob3obo7b12o29b3obob3o32b5o5bob2ob2obo7b3o33bo2bo5bo2bo5bo
b3obo7bob3obo6b2ob3ob2o8bobo2bobo48bo5bo7bo3bo3bo11bo3bobo3bo3bo3bobo
3bo3bobo2bo2bobo$o4b2obob2o4bo6bo3b3o3b3o3bo138bob3obo8bo2b4o2bo31bo2b
o2bo32b2obob2o4bob2ob2obo7bobo33bob2ob3ob2obo5bob3obo7b2o3b2o6b3o3b3o
7bo8bo47b3ob3o6bob7obo10bo2b5o2bo6b2ob2o6bob3ob3obo$ob6ob6obo6bob6ob6o
bo126bo3bo10bo12b8o33b5o33bob3obo4bobo3bobo8bo34bo3bo3bo3bo5bobobobo6b
2o5b2o5bobobobobo64b3ob3o6bob2o3b2obo10b2o3bo3b2o7bobo7bobobobobobo$2o
b3o2bo2b3ob2o6b2ob4obob4ob2o127bobo7b3obob3o6b3ob4ob3o33bo35bo5bo4bob
5obo8bo34b2o2bobobo2b2o5bob3obo6bobobobobo5bob5obo65b5o7b2o7b2o10b5ob
5o7b3o7bo3b3o3bo$bo2b2o2bo2b2o2bo9b4o2bo2b4o130bo8bo3bo3bo7bo2b4o2bo33b
3o34bobobobo4bob2ob2obo7b3o36bo5bo7b2obobob2o5bob2ob2obo5bob5obo98b11o
8bo8bo3bobo3bo$3b3o5b3o10b5o5b5o129bo9b2o3b2o8b2ob4ob2o31bob3obo32b2o
bob2o4bobo3bobo62bobobo7bob5obo5bobobobobo98b4obob4o7b3o7bo2b5o2bo$2b
4o5b4o10b4o5b4o127b2obob2o7b5o49b4ob4o31bobobobo4bob2ob2obo6bo3bo49b2o
b3ob2o5bobobobobo5bobo3bobo98b5ob5o4b2obobob2o4bo3bobo3bo$6o5b6o7b5o2b
o2b5o126bob3obo8bobo50b2o5b2o31bo2bo2bo4b2o5b2o8bo65bo2bobo2bo5bob2ob
2obo98b4o3b4o4bobo3bobo4bob7obo$b5obobob5o8b4o2b3o2b4o126bob3obo6bo2b
o2bo51b3o34bobobobo4bo3bo3bo6b5o50bo5bo6bo7bo5bobo3bobo98b5ob5o4bobo3b
obo4b2o2bobo2b2o$b2o5bo5b2o8b5obobob5o126b2obob2o5b4ob4o47b4ob4o30bob
5obo3bobo3bobo6bo3bo51bo3bo7bobobobobo5bo7bo99b4ob4o5bo3bo3bo4bob2obo
b2obo$bo2b9o2bo8b5o2bo2b5o126bob3obo5bob5obo50b3o34b2o3b2o4bobo3bobo4b
2o5b2o61bobo3bobo5bo2b3o2bo100b2obob2o6bo7bo8b3o$2b3ob5ob3o9b6obob6o126b
3ob3o5bobo3bobo48bob3obo43b3o3b3o4bo2b3o2bo61bo7bo5bobo3bobo101bobobo
22b2o3b2o$b2obob5obob2o8b5obobob5o127b2ob2o6bobo3bobo49b5o46b5o6bobob
obobo61bo2b3o2bo5bobo3bobo103bo11b2ob2o8b2o3b2o$4b3o3b3o11b5o2bo2b5o127b
obobo6bob2ob2obo49bobobo45b7o75b3o3b3o5bob5obo103bo11bobobo8bo2bo2bo$
3bob2o3b2obo10b3o3bobo3b3o128bobo7bobobobobo48bo2bo2bo44bo5bo9bo65bo2b
obo2bo5bobo3bobo114b3ob3o6bob2ob2obo$6bo3bo13b6obob6o128b3o7bob2ob2ob
o48b3ob3o44bo2bo2bo7b5o63b2o2bo2b2o5bob2ob2obo127bobo3bobo$7b3o14b5ob
obob5o127bo3bo6bo2b3o2bo48bobobobo44b2obob2o7bobobo67bo9bobo3bobo113b
o2b3o2bo5bobobobobo$24b4obo3bob4o127b2ob2o6b4ob4o48bo5bo130bo10b7o115b
o5bo6bo2b3o2bo$6bobobo13b2o4b3o4b2o127b5o6b4ob4o46b3o5b3o57b3o67bobo11b
3o115b4o3b4o4b2o5b2o$6b5o12b2o2b2o2bo2b2o2b2o126b5o6bobobobobo47bo2b3o
2bo59bo66b2o3b2o10bo118b7o6bo2b3o2bo$23b3obo7bob3o125b2obob2o59bobob5o
bobo57bo65b2o5b2o8bobo118bo3bo7b2o5b2o$6b5o13bobo2bo3bo2bobo126bobobo
bo7b5o47bobobo3bobobo57bo67b5o10bobo131b3ob3o$6bobobo15b2obo3bob2o128b
o2bo2bo9bo49bobo2bobo2bobo124bobobobo141b2o7b2o$5bob3obo15b2o5b2o129b
o2bo2bo9bo49bobobobobobobo125b2ob2o10b3o131b2obob2o$5bo2bo2bo15b4ob4o
129bobobobo6bo2bo2bo46bobo2bobo2bobo124bob3obo9bobo130bo2b3o2bo$28b2o
bob2o130bob3obo5bobobobobo45bo2b2obob2o2bo123bobobobobo7bobobo132b3o$
28b2o3b2o130b2o3b2o5bobo3bobo45bob4ob4obo123bobobobobo6b2o3b2o$31bo133b
o5bo5bo3bo3bo45b6ob6o123bob2ob2obo6bo5bo$31bo135bobo7bobo3bobo45b6ob6o
123bob2ob2obo6bo2bo2bo$167b3o7b2ob3ob2o45b4ob3ob4o123bo2b3o2bo6bob3ob
o$168bo8bobobobobo45b13o123bobo3bobo6bobobobo$168bo8bobo3bobo45b6ob6o
123b2o2bo2b2o6bo5bo$177bob5obo45b13o124b2o3b2o7bo2bo2bo$177bo3bo3bo45b
5obob5o125b2ob2o8b2o3b2o$177b2ob3ob2o45b4obobob4o125b5o8bo5bo$177bobo
bobobo45b4o2bo2b4o127bo$177bob5obo45b3o2b3o2b3o$177bobobobobo45b2o4bo
4b2o141bo$177bo2b3o2bo45b3o3bo3b3o$177bob2ob2obo45b6ob6o$177b3obob3o45b
6ob6o$180b3o48b6ob6o$179bo3bo47b4obobob4o$178bo5bo46b5obob5o$177b3obo
b3o45b4o2bo2b4o$180bobo48b3o2bobo2b3o$179b2ob2o48bo4bo4bo!

[TheWayOfTheCon]

For the past few days, I've been investigating and apgsearching a promising LTL rule which I've dubbed "Pottery".

Code: Select all

x = 64, y = 64, rule = R2,C2,S4,6-9,B7-9
!
#C [[ RANDOMIZE ]]

It's a range-2 rule with behavior that, on the surface, is not too far off from the Game of Life. Chaotic patterns and evolutionary sequences are long-lived and somewhat far-moving, although I admit for what it's worth the sequences do last a bit too long.

I've found several spaceships in this rule. There's the common c/3d and c/6o, assuming the speed of light is one cell per tick, which it isn't, but it's easier to understand alongside other spaceships that have popped up in Catagolue, like a c/2 and 6c/24.

Code: Select all

x = 58, y = 5, rule = R2,C2,S4,6-9,B7-9
2b2o5b3o16b3o8b2o5b2o7bo$b4o4b3o15b4o8b3o3b3o6b3o$2o2bo3bo3bo14bo3bo6b
4o3b4o5bob2o$2o2bo3bo3bo18bo6b3o5b3o4bo2b2o$b3o5b3o16b3o10bo3bo7b2obo
!

There are some interesting oscillators. There's a bouncy p34 and p50:

Code: Select all

x = 39, y = 13, rule = R2,C2,S4,6-9,B7-9
3b2o$2b4o30bo$b2ob2o30bobo$2o2bo31b2o$5o31b2o$4o$b2o28b4o$10b2o21b2o2b
o$3bo4b5o19bo$4bo2b2o2b2o$6b3ob2o$6b5o$7b3o!

And some lower-period but potentially useful oscillators:

Code: Select all

x = 56, y = 15, rule = R2,C2,S4,6-9,B7-9
15bo2bo$14bo4bo$13bo6bo9b2o15b3o$13b2o4b2o9b2o14bo3bo$14b2o2b2o9b3o15b
obo$6bo41bo$2bo2bobo22b2o$b7o23bo22bo$7o25bo20bobo$obo2bo27b2ob3o13bo
2bo$bo12b2o2b2o14bob3o14bobo$13b2o4b2o15bo17bo$13bo6bo$14bo4bo$15bo2b
o!

There's even an RRO.

Code: Select all

x = 6, y = 6, rule = R2,C2,S4,6-9,B7-9
b2obo$ob2o$bob3o$b4o$ob2obo$bo!

There are also a variety of still lifes, and here is where the rule's name comes in. You'll occasionally come across large, hollow still lifes that stem from small predecessors. They reminded me of pottery because they're geometric, diverse, and fragile. In retrospect, they look more like crystals to me, but that name would be a bit too basic.

Code: Select all

x = 36, y = 6, rule = R2,C2,S4,6-9,B7-9
b3o13b3o14bo$2ob2o11b2ob2o12b3o$o3bo11bo3bo12b3o$2ob2o11bo3bo12b3o$b3o
12b5o12b3o$17b3o!

While the existence of these makes the rule stand out, they seem useless unfortunately. But don't worry! There are tons of other, non-pottery still lifes, from the very fragmented, containing several islands, to literally just the phases of Life's glider.

I have found a few interesting reactions, mainly collisions and eating reactions.

Two-spaceship collisions resulting in the other spaceship being made.

Code: Select all

x = 51, y = 21, rule = R2,C2,S4,6-9,B7-9
47b3o$46bo3bo$46b2ob2o$47b3o5$20b3o$19b2o2bo$19bo3bo$19b2ob2o$b3o16b3o
$o2b2o$o2b2o$4o$b2o38b3o$41b3o$40bo3bo$40bo3bo$41b3o!

The 6c/24's sparky backend can get rid of the c/2.

Code: Select all

x = 11, y = 93, rule = R2,C2,S4,6-9,B7-9
b2o5b2o$b3o3b3o$4o3b4o$3o5b3o$3bo3bo12$b3o$4o$o3bo$4bo$b3o32$b3o$4o$o
3bo$4bo$b3o32$b3o$4o$o3bo$4bo$b3o!

Here's the ruletree if y'all want to apgsearch the rule. Name the .tree file "PotteryLTL" to make sure your hauls go to the right census.

Code: Select all

@RULE PotteryLTL

@COLORS
0 0 0 0
1 255 255 255

# This ruletable is automatically generated by CAViewer
# Note that is ruletable may not work properly in Golly as it is meant to be run by lifelib.
# If this ruletable operates in with a range 1 neighbourhood, switch neighbourhood:... with neighbourhood:Moore or any other appropriate neighbourhood to run it in Golly

@TREE
num_states=2
num_neighbors=[(-2, -2), (-2, -1), (-2, 0), (-2, 1), (-2, 2), (-1, -2), (-1, -1), (-1, 0), (-1, 1), (-1, 2), (0, -2), (0, -1), (0, 1), (0, 2), (1, -2), (1, -1), (1, 0), (1, 1), (1, 2), (2, -2), (2, -1), (2, 0), (2, 1), (2, 2), (0, 0), (0, 0)]
num_nodes=204
1 0 0 
2 0 0 
3 1 1 
4 2 2 
1 0 1 
2 0 4 
3 1 5 
4 2 6 
5 3 7 
2 4 0 
3 5 9 
4 6 10 
5 7 11 
6 8 12 
3 9 5 
4 10 14 
5 11 15 
6 12 16 
7 13 17 
1 1 1 
2 4 19 
3 5 20 
4 14 21 
5 15 22 
6 16 23 
7 17 24 
8 18 25 
2 19 19 
3 20 27 
4 21 28 
5 22 29 
6 23 30 
7 24 31 
8 25 32 
9 26 33 
3 27 27 
4 28 35 
5 29 36 
6 30 37 
7 31 38 
8 32 39 
9 33 40 
10 34 41 
2 19 0 
3 27 43 
4 35 44 
5 36 45 
6 37 46 
7 38 47 
8 39 48 
9 40 49 
10 41 50 
11 42 51 
3 43 1 
4 44 53 
5 45 54 
6 46 55 
7 47 56 
8 48 57 
9 49 58 
10 50 59 
11 51 60 
12 52 61 
4 53 2 
5 54 63 
6 55 64 
7 56 65 
8 57 66 
9 58 67 
10 59 68 
11 60 69 
12 61 70 
13 62 71 
5 63 3 
6 64 73 
7 65 74 
8 66 75 
9 67 76 
10 68 77 
11 69 78 
12 70 79 
13 71 80 
14 72 81 
5 3 3 
6 73 83 
7 74 84 
8 75 85 
9 76 86 
10 77 87 
11 78 88 
12 79 89 
13 80 90 
14 81 91 
15 82 92 
6 83 83 
7 84 94 
8 85 95 
9 86 96 
10 87 97 
11 88 98 
12 89 99 
13 90 100 
14 91 101 
15 92 102 
16 93 103 
7 94 94 
8 95 105 
9 96 106 
10 97 107 
11 98 108 
12 99 109 
13 100 110 
14 101 111 
15 102 112 
16 103 113 
17 104 114 
8 105 105 
9 106 116 
10 107 117 
11 108 118 
12 109 119 
13 110 120 
14 111 121 
15 112 122 
16 113 123 
17 114 124 
18 115 125 
9 116 116 
10 117 127 
11 118 128 
12 119 129 
13 120 130 
14 121 131 
15 122 132 
16 123 133 
17 124 134 
18 125 135 
19 126 136 
10 127 127 
11 128 138 
12 129 139 
13 130 140 
14 131 141 
15 132 142 
16 133 143 
17 134 144 
18 135 145 
19 136 146 
20 137 147 
11 138 138 
12 139 149 
13 140 150 
14 141 151 
15 142 152 
16 143 153 
17 144 154 
18 145 155 
19 146 156 
20 147 157 
21 148 158 
12 149 149 
13 150 160 
14 151 161 
15 152 162 
16 153 163 
17 154 164 
18 155 165 
19 156 166 
20 157 167 
21 158 168 
22 159 169 
13 160 160 
14 161 171 
15 162 172 
16 163 173 
17 164 174 
18 165 175 
19 166 176 
20 167 177 
21 168 178 
22 169 179 
23 170 180 
14 171 171 
15 172 182 
16 173 183 
17 174 184 
18 175 185 
19 176 186 
20 177 187 
21 178 188 
22 179 189 
23 180 190 
24 181 191 
15 182 182 
16 183 193 
17 184 194 
18 185 195 
19 186 196 
20 187 197 
21 188 198 
22 189 199 
23 190 200 
24 191 201 
25 192 202 

[ThePlayzr]

This rule has both bounded oscillators as well as spaceships and even a wickstretcher.

Code: Select all

x = 0, y = 0, rule = B2ce45678/S2-c345-ajy
!
[[ RANDOMIZE ]]

Code: Select all

x = 27, y = 47, rule = B2ce45678/S2-c345-ajy
bo4bobo7bo6bo$obo3b3o6bobo4bobo$3o3b3o8bo4bo$7b3o4b4o4b4o$8b2o3b3obo4b
ob3o$7bo5bobo8bobo$13bo2b2o4b2o2bo$13bo2b2o4b2o2bo$17bo4bo$14bo2bob2o
bo2bo$15bob2o2b2obo$14bo10bo$14bo2bo4bo2bo$14bob8obo$14b12o$14b5o2b5o
$14bob8obo$14b5o2b5o$14bob2o4b2obo$14bob3o2b3obo$14bob8obo$14bob8obo$
14b2o3b2o3b2o$13bo2bo6bo2bo$13b2obobo2bobob2o$13bob3ob2ob3obo$13bob3o
b2ob3obo$13bob3o4b3obo$13bo2b2o4b2o2bo$13bo4bo2bo4bo$13bob2o6b2obo$13b
6o2b6o$13b2o3b4o3b2o$13b3o2b4o2b3o$13bo2b2o4b2o2bo$13b14o$16bo6bo$15b
2o6b2o$15b2o6b2o$15bo3b2o3bo$15b2o2b2o2b2o$15b3o4b3o$15b2o6b2o$15bobo
b2obobo$15b4o2b4o$18bo2bo$17b2o2b2o!

[I6_I6]

For the past few days, I've been investigating and apgsearching a promising LTL rule which I've dubbed "Pottery".

Code: Select all

x = 64, y = 64, rule = R2,C2,S4,6-9,B7-9
!
#C [[ RANDOMIZE ]]

natural p12:

Code: Select all

x = 6, y = 6, rule = R2,C2,S4,6-9,B7-9
b4o$5bo$o4bo$o4bo$o3b2o$b3o!

Pretty common p2:

Code: Select all

x = 6, y = 6, rule = R2,C2,S4,6-9,B7-9
2b2o$bo2bo$o4bo$o4bo$bo3bo$2b3o!

EDIT 18 Apr (unrelated):
The T-tetromino in B2ai3aeir4cer5ei/S3e4e5e is a wickstretcher-like lightspeed growth, where the inside of the wick simulates a simple XOR rep, where OFF causes the back to shorten:

Code: Select all

x = 2, y = 3, rule = B2ai3aeir4cer5ei/S3e4e5e
o$2o$o!

[B468S02357]

A rule i found has no ships but an adjustible oscillator family consisting of lines of length (n+1) where n is twice the length of the last osc

Code: Select all

x = 31, y = 46, rule = B2-ac3ai4aei567/S04cqz5eik678
31o24$2b15o14$2b7o7$2b3o!

[AforAmpere]

A rule i found has no ships but an adjustible oscillator family consisting of lines of length (n+1) where n is twice the length of the last osc

The pattern immediately breaks on the next one, so this does not actually work:

Code: Select all

x = 63, y = 1, rule = B2-ac3ai4aei567/S04cqz5eik678
63o!

[Empty Emptiness]

I've been looking at B35e6n/S23:

Code: Select all

x = 127, y = 49, rule = B35e6n/S23
13$115bo$115bo$115bo3$117bo$116b2o$69b3o13b3o27bobo$9b2o23bobo18bobobo
bo6bo3bo12bo2bo25b3o$8b2o24bo2bo17bo5bo6bo3bo12bo3bo$7b2o25bobo18bobob
obo6bo3bo13bo2bo30b3o$69b3o15b3o29bobo$119b2o$119bo14$20b3o$19bo2bo$
20b2o!

this rule supports the replicator and bomber from HighLife, the pre-pulsar from Grounded Life, and another interesting oscillator.

[ThePlayzr]

This rule has a quadratic replicator (was minimalized based on a variant of lowlife which has the replicator but is also explosive)

Code: Select all

x = 3, y = 3, rule = B3/S1e2eik3
3o$o$o!

Potential for spaceships limited in this rule due to C/2 expansion, but is an oscillator possible?

Adding S0 kills it, making a very active evolutionary sequence, while still not being explosive:

Code: Select all

x = 3, y = 3, rule = B3/S01e2eik3
3o$o$o!

There is actually a puffer based on this:

Code: Select all

x = 13, y = 13, rule = B3/S01e2eik3
6b3o$8bo$4bo3bo2$2bo3bo4bo$bo3bo5b2o$bo2bo6bo$9bo$10bo2$3o$2bo4bo$7bo
!

If you don't like S0, B2n works fine:

Code: Select all

x = 3, y = 3, rule = B2n3/S1e2eik3
3o$o$o!

c/2o working in all 3 rules:

Code: Select all

x = 5, y = 4, rule = B3/S1e2eik3
b3o2$o3bo$2ob2o!

Edit: in the S0 rule, there are many small chaos-generators made with the evolutionary sequence and a random dot.
This one is the cleanest one I could find that generates the puffer:

Code: Select all

x = 6, y = 10, rule = B3/S01e2eik3
5bo6$3o$2bo$2bo$5bo!

This one produces a mess that is almost C4_1, but produces it completely asymmetrically:

Code: Select all

x = 7, y = 3, rule = B3/S01e2eik3
3o$2bo$2bo3bo!

Can someone apgsearch it?

[I6_I6]

This rule has a quadratic replicator (was minimalized based on a variant of lowlife which has the replicator but is also explosive)

Code: Select all

x = 3, y = 3, rule = B3/S01e2eik3
3o$o$o!

Potential for spaceships limited in this rule due to C/2 expansion, but is an oscillator possible?

Adding S0 kills it, making a very active evolutionary sequence, while still not being explosive:

Code: Select all

x = 3, y = 3, rule = B3/S01e2eik3
3o$o$o!

One transition away (+S5i) is a borderline exploding rule:

Code: Select all

#C [[ RANDOMIZE ]]
#R B3/S01e2eik35i
!

Soups stabilize after a while because the active areas are enclosed in a thick wall of dots.
For example, this one stabilizes in T=104,457:

Code: Select all

x = 64, y = 64, rule = B3/S01e2eik35i
4ob2o3bob3ob2o2b4ob3ob2o2bob2o3b3ob2o3b8o2b3o$2bo3b3o3b2o3b6o2b2o3bo
12b2o3bobo2bob2o4b2o$2ob3o2bob4o3b2ob6o4bob6o2b2ob3ob2ob2o4b2o2bo$3o3b
4o2bobobo2bo4b3obo2bob2ob2ob6o4b2o4b6ob2o$2o3b2obobo2bob2o2bobobobob2o
bo2bobob4o2b2obobob4obobo5bo$b3ob6o2b4obo2b2o2b2obobo3b5ob2obo4bo2bo4b
7o$5obo2bo2bo3b2o5bob2o2bob2ob2ob2obob2obobob2o2bob3o4bo$2bob6o2b2o3b
3o4b2obo2bobob2ob7ob2o2b3o6b2o2b2o$o3b2ob2o2b3ob2ob3o2bo2b3o2bobobo2b
3o3bobob3ob3o2bo$3bo2bobo3bo2bo2bobo7bo2bobo4b3o5b4obobo3bob2ob2o$3o4b
3ob2obob3ob4o2bob5o2b2ob2obo2b2obob5o2bob5o$2bob2o4b4obobob3o3bob8o3bo
4bo2bo2bo3b2o2bobobobo$3b4obo5bo3bobo4bobob2o2b4obo2bo2bobo2bo3b2ob2ob
3o$3obo2bobo2b2ob3o2bo4b2obob5obo2bob4ob4o2bo3b5o$3bo2b2o4b3ob2obo3bo
2bob2ob5obo3b2o2b2obo2bo2bob2obobobo$b3o2bobo3b2ob5o3bobo2b2ob3o6b3o3b
o2b2obo2b3obo2bo$bobo2b3ob2obobob5obo2b2o2b4obo3b3ob2o3bo4bob3o2b3o$ob
2obob2ob4ob2obobobo4bob2ob2o4bo8bo4bobo2bobob3o$bobob2ob3o2b2ob2o2b2o
4b5o3bo2bobo2bob3o2b4o5bob3o$2obobobo7b2o4bo2bo5b3ob2o2bo4b2o2b2o3bobo
2bo4b2o$2b2o2b6ob2o3b7o8bo3bo2b3o4b4obob2obo2bo$6o6b5o2bob7obo3b3obobo
b2o2b2o2bo3b3ob3o2b2o$o2b2ob10ob5ob2o2b2ob2obobo2b2ob3o2bob2ob5o3b3o$b
obo2b6ob3o2bob3ob4o3bobo4bobobo2b2o2bobob4o5bo$o2bo7b3o3b3obobo2b4obo
2bo3b2o2b4obob2ob2o8bo$bo3b3o4b3ob2o3b5obo2bo4b2o2b3o3bobo2bobo3bob4o$
o7bo4b3o2bobo4bo2bobo2bo3b2ob2ob4o2bobobo2b3ob4o$3bobo2bo2bob3o2b3o3b
3obobob3ob3obo3b4o2bob6o2b2obo$2bob2ob2o2b4o4bo3bobobo2b2obobobo2b5o3b
o2bobobobob3o$o2b2obobob9obo15b2obo2b2ob4o6b4o2bobo$2bo3b5o3bobob3o2b
3obo2bo4b6o2bo4b12ob2o$b3o4b3ob2ob2ob2ob3o2b2o4bo4b4o5bob3o2bo2bobobob
2o$obo5bobo3b3o2bob2o3b3o3bo3bobo2b3o2b2ob2o2bob3o2bo2bo$3b2obobob2obo
2bo2bobo2bobob8o2b2obobo2b2o2bo4b2o3bo$2b2o3b2o2bob2ob2ob4o4bob4obobob
o2bo2b3ob3ob2o6bob2o$3ob4o3bob3o2b2o3bobobob3obo3b2o2b3obobob4o2bobobo
2b2o$bo3bobobo2bo4b2obo3b4ob6o4bo4b2o2b4ob4o2b4o$b3o2b6ob3ob8obo5bo3b
6o2bo6b2obobo4bobo$b2ob2obobo3bob3obobo2b2obo5bo4bo4bob2o2b3o2b2o5b2o$
2o2b2o2bob3o2b2o2bobobo2b8ob2o2b4obo2b2o2bobo5b2o2bo$4o2bo4b2obobob3o
2bo2bobob4obobob2o2bo2b2o3b3o2bo4b2o$o4b5ob2ob2o2bo2bobo2b2ob2ob4o2bob
2obob2obo5b2ob2obobo$2ob5obobobo2b2ob2o3bob4ob6o7b2o2bo6bob2obo$2o2bo
2b3o4b5o6b2o5bo2b2ob3o2b2o2b4ob3ob6o$b2obo5b2o2bo2b3o3b3obo2bo2b2o4b6o
b2ob5obo3bo2b2o$2b4ob4obobo3b5ob5obo2b2o4b2o3b5obob3o2bob4o$2b2o2bobob
2o2b2ob2o2b3ob2ob2o6bobo3b8ob2o2bobobobo$o2b3ob3o2b3o2b3o5bobo2b2ob2o
2b4o2b3o3bobo2b2o2b2o3bo$2o3b3o2bobob5ob3ob4ob3o3bobob2obobobobo2bob4o
bobo$2bob2ob3o3b2obo3bobo3b2obobo2b2obo4b2obob3ob3o2bobo3b2o$2b2obo5bo
b3ob2ob9o4b2obo2b2obo2b4o3b2o2bo2bo2b2o$2b3o2bob3o2bob3ob3o2b4o2b5o9b
2obo2b4o6b2o$2b2o2bobob2obo2bo2bo2b2obo3bo3bo8b2ob3obo2bo2b3o3b3o$6bob
o2b4o11bo2b3obo2b5obob8o6b2o2b2o$obo2bo2bo2b2o7b2o3bob2o2b3o3bo2b2o2bo
3bob5obob2ob2o$b4ob4o2bo3bo3b2o6bo2bo4b3o3b6obob4obobo2bo$3ob2obo2b3ob
3o2b2obo3bo2b2o4b9o3b3obo2b6ob3o$2b6o3bo4b2obobobo2b2obo2b2o4bo2bo2b2o
2b2ob3o3b3obobo$b2ob6o2b3obobob3o3bobob2o2b2o5bo2b2o2bo3bobobob3o$bo3b
3ob2o2bo5b2ob6o5b2o2bobo4bob3ob3ob3ob3o$3obo2b2o2b4o3bo3bobob5o2b3o3b
2obobob6obo4bo3b2o$o2bo2b2ob3o2bobob2ob4obob4o2bob4o2bo4bo2b2obob4o2bo
bo$b3o3b5obo2b2o2b3obob2o3b2obobob4obobob4o2b3o2bob2o$obobo2b4obo3b2ob
3o2bobo2bob2obob2ob2obobo2b5o3b3o2b3o!

p4:

Code: Select all

x = 6, y = 3, rule = B3/S01e2eik35i
2o$o2b3o$2o!

Natural 20c/40o puffer:

Code: Select all

x = 7, y = 13, rule = B3/S01e2eik35i
3ob3o$2bobo$2bobo$2bobo3$b2ob2o$obobobo$2bobo$2bobo$obobobo2$bo3bo!

Natural c/4o stretcher:

Code: Select all

x = 7, y = 7, rule = B3/S01e2eik35i
2b3o$bobobo$2obob2o2$b5o2$b2ob2o!

EDIT:
The longest lasting 16x16 soup I found lasted for 217,463 generations, emitting 2 spaceships:

Code: Select all

x = 16, y = 16, rule = B3/S01e2eik35i
2o6bo3b4o$bob2ob2obo2bo$bobobob2o$ob4ob2ob3obo$o5b3o3b2o$2obobo4b4o$bo
bo3b3o3bo$3bobo3bo2b3o$bobob2o2bo3b3o$3obo2bo3bob3o$2o3b4ob2o3bo$obo2b
ob2o2b3obo$b3obob2o4b3o$4bob2ob3obo$bo2bob2o2b4obo$o4bo3b2ob3o!

EDIT 2:
Massive puffer:

Code: Select all

x = 35, y = 34, rule = B3/S01e2eik35i
2o4bo12bo$2bo16b2o$13b2o2bobo$bo2bo2bo5bo3b3o$bo5bo5bo2b2o4bo2bo$14b3o
5bob2o3bo$7bo14bo5b3o$21b5o2b2o$7bo8bobo2b2o2b2o$7bo10bobo7bo4bo$11bo
3bo2bo8bo4b3o$15b2o5bo4bo3bobo$30b3o$5bo8bo8bo3bo3bo$13b2o7b2o$7bo5bob
o5bo4bo$7bo5bobo10bo$13bo7b4o$13b2o7bo$15bo$16bo$5bo2bo6bo$4b3o6b3o$3b
obo8bobo$2b3o10b2o$3bo4bo2bo2$6bo3bo2bo2$8bo4bo$12b3o$11bobo$10b3o$11b
o!

2c/4o stetcher:

Code: Select all

x = 8, y = 9, rule = B3/S01e2eik35i
4bo$2b2obo$2b2obo$bo3bobo$2obobo$bo3bobo$2b2obo$2b2obo$4bo!

WHAT THE-

Code: Select all

x = 16, y = 16, rule = B3/S01e2eik35i
obobob3o2b2obo$2obo3b2obo3bo$b3obo2b2o2bo2bo$o2bobo2bobo$5b2obobo2b2o$
bo2b4ob2o2b3o$bo2bob5obobo$4b4o3b3obo$2bo3bo3b3ob2o$b2o2b2ob3ob4o$obob
2obob3o2b2o$2b4ob3o4b2o$2obo4bobobob2o$3o3b2o2bo2b2o$3o2b4o2bo$4bo3bob
ob2obo!

Ok, it looks like that wickstretcher can create gigantic line agar triangles that somehow expand themselves. Maybe this rule is explosive after all??

EDIT 3:
Different parity agars will battle:

Code: Select all

x = 60, y = 40, rule = B3/S01e2eik35i:T60,40
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobo$obobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$obobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobobobobob
obobobobobobobobobobobobobobobobobobobobobobobo$obobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobo$obobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobobobobobob
obobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobob
obobobobobobobobobobobobobobobobobobobobobobobobobobo$2bob3obob2o2bob
3obob6ob2ob4o2bo3b4o2b2o4bo2b2o$ob2obo5b2ob2o3bo2bob3ob2obo2b3o3b2ob2o
b3ob4ob2ob2o$2bobob5ob3obob8obobo2bob2o3bo2b2obo3b5o4b2o$2bob5o3b6obo
bo2bobo3bo2b4obo3b3obobobo3b3o2bo$3b2obo3b5o2bo3bob5ob5o4bo2bobo2bo3b
3ob6o$b3ob8o4b3o5b2o5bo5bo3bo3b3obobobobob2o$bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo$bobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo$bobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobo$bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo$bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobo$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobo$bobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$bobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobo$bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobo$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
o$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$bobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobo$bobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobo!

EDIT 4:

A rule i found has no ships but an adjustible oscillator family consisting of lines of length (n+1) where n is twice the length of the last osc

Code: Select all

x = 31, y = 46, rule = B2-ac3ai4aei567/S04cqz5eik678
31o24$2b15o14$2b7o7$2b3o!

No ships? I found this tiny c/2 in a few seconds using rlifesrc:

Code: Select all

x = 15, y = 5, rule = B2-ac3ai4aei567/S04cqz5eik678
2bo9bo$o3bo5bo3bo$3b4ob4o$4b2o3b2o$bo11bo!

[TheWayOfTheCon]

EDIT 4:
No ships? I found this tiny c/2 in a few seconds using rlifesrc:

Code: Select all

x = 15, y = 5, rule = B2-ac3ai4aei567/S04cqz5eik678
2bo9bo$o3bo5bo3bo$3b4ob4o$4b2o3b2o$bo11bo!

I guess they didn't do any searching with a program? That ship isn't natural it seems.

[splitterrules]

Here is a signal rulespace with cardinality 78 and oscillators of period 4, 6, 8, 13, and above.
It is between B2ci3a/S02i3i6i and B2ce3-iny4-kt5-i678/S01c2-a3-eq45678.

Code: Select all

x = 288, y = 207, rule = B2cei3a6a8/S01c2i3i4t6i
122bo2bo29bo2bo2$128bo69b3obo$119bo2bo2bo2bo23bo2bo2bo2bo$128bo76bo$
119bo32bo43bo2bo2bo2bo16b3obo6b3obo$119bo2bo2bo2bo23bo2bo2bo2bo43bo55b
obo$119bo32bo43bo$196bo2bo2bo2bo17bob3o6bo2bo23bobo$122bo2bo29bo2bo37b
o$263bo$199bob3o53$23b3obo2$264bo$21bo2bo2bo2bo230bo2bo$264bo2$18bo2bo
5bo2bo2bo224bo2bo2bo2bo3$15bo2bo14bo2bo218bo2bo5bo2bo2bo3$12bo2bo20bo
2bo212bo2bo14bo2bo$251b3o$275bo$9bo2bo26bo2bo145bo60bo2bo20bob2o$185bo
2bo86bo$188bo$6bo2bo32bo2bo200bo2bo26bo2bo$182bo2bo2bo2bo2$3bo2bo38bo
2bo194bo2bo32bo2bo$179bo2bo5bo2bo2bo2$o2bo2bo41bo2bo187b3obo2bo35bo2bo
$175b3obo2bo11bo2bo2$o2bo41bo2bo2bo188bo2bo35bo2bob3o$176bo2bo11bo2bob
3o2$3bo2bo38bo2bo194bo2bo32bo2bo$179bo2bo2bo5bo2bo2$6bo2bo32bo2bo200bo
2bo26bo2bo$182bo2bo2bo2bo$250bo$9bo2bo26bo2bo142bo63b2obo20bo2bo$185bo
2bo61bo$185bo86b3o$12bo2bo20bo2bo212bo2bo14bo2bo3$15bo2bo14bo2bo218bo
2bo2bo5bo2bo3$18bo2bo2bo5bo2bo224bo2bo2bo2bo2$261bo$21bo2bo2bo2bo230bo
2bo$261bo2$24bo2bo31$25bo3$22bo2bo2bo3$22bo2bo2bo2bo3$19bo2bo8bo2bo
225bo2$16bo109bo133bo$16bo2bo14bo2bo219bo2bo2bo$16bo110bo132bo$123bo2b
2obo$13bo2bo20bo2bo86bo129bo2bo2bo2bo2$123bo2bo2bo2bo$10bo2bo26bo2bo2b
o207bo2bo8bo2bo2$120bo2bo8bo2bo$7bo2bo32bo2bo2bo201bo2bo14bo2bo$117bo
65bo87b3o$117bo2bo14bob3o109bo$4bo2bo2bo32bo2bo70bo130b2obo20bo2bo$
180bo2bo2bo62bo$114bo2bo20bo2bo$7bo2bo2bo26bo2bo201bo2bo26bo2bo$180bo
2bo2bob3o$111bo2bo26bo2bo2bo$13bo2bo20bo2bo136bo64bo2bo32bo2bo2bo$177b
o2bo8bo2bo2bo$108bo2bo32bo2bo2bo26bo$16bo2bo14bo2bo108b3o90bo2bo38bob
3obo$107b3o64bo2bo14bo2bo2bo$105bo2bo2bo32bo2bo$19bo2bo8bo2bo201bob3ob
o38bo2bo$171bo2bo2bo14bo2bo$108bo2bo2bo26bo2bo$22bo2bo2bo2bo160bo46bo
2bo2bo32bo2bo$174bo2bo2bo8bo2bo$114bo2bo20bo2bo50bo$25bo2bo2bo213bo2bo
26bo2bo$138bo40b3obo2bo2bo$116b3obo14bo2bo135bo$28bo109bo109bo2bo20bob
2o$183bo2bo2bo84bo$120bo2bo8bo2bo114b3o$251bo2bo14bo2bo$186bo$123bo2bo
2bo2bo$254bo2bo8bo2bo$128bo$126bob2o2bo$128bo128bo2bo2bo2bo2$129bo133b
o$260bo2bo2bo$263bo2$263bo!

[silversmith]

Here is a signal rulespace with cardinality 78 and oscillators of period 4, 6, 8, 13, and above.
It is between B2ci3a/S02i3i6i and B2ce3-iny4-kt5-i678/S01c2-a3-eq45678.
...

Here is a signal splitter which works in the same rulespace as the reflector, along with a 0 degree reflector.

Code: Select all

x = 58, y = 49, rule = B2cei3a6a8/S01c2i3i4t6i
33bo3$30bo2bo2bo3$30bo2bo2bo2bo3$27bo2bo8bo2bo2$24bo$24bo2bo14bo2bo$
24bo2$21bo2bo20bo2bo3$18bo2bo26bo2bo2bo3$15bo2bo32bo2bo2bo3$12bo2bo2bo
32bo2bo3$15bo2bo2bo26bo2bo3$12bo2bo5bo2bo20bo2bo3$9bo2bo11bo2bo14bo2bo
3$6bo2bo17bo2bo8bo2bo3$3bo2bo2bo20bo2bo2bo2bo3$6bo2bo23bo2bo2bo3$3bo2b
o29bo3$o2bo!

[ThePlayzr]

EDIT 4:
No ships? I found this tiny c/2 in a few seconds using rlifesrc:

Code: Select all

x = 15, y = 5, rule = B2-ac3ai4aei567/S04cqz5eik678
2bo9bo$o3bo5bo3bo$3b4ob4o$4b2o3b2o$bo11bo!

Smaller c/2o, a set of c/4os with the same frontend, extensible c/4o:

Code: Select all

x = 39, y = 31, rule = B2-ac3ai4aei567/S04cqz5eik678
6bo11bo8bo9bo$4bo3bo$2b4o4bo5bo2bo5bo2bo6bo2bo$o6b2ob2o4b4o5b4o6b4o$16b
4o5b4o6b4o$16bo8bo9bo$18bo8bo9bo$15b2o7b2o8b2o$14bo2b2o4bo2b2o5bo2b2o
$18bo8bo9bo$18bo8bo9bo$19bo6bo9bo$15bo$25bo9bo$27bo9bo2$34bo$34bo$34b
o$33bo2$32bo$34bo2$31bo$31bo$31bo$30bo2$29bo$31bo!

c/3o seems impossible.

[unname4798]

A rule somewhat similar to B01356/S012345:

Code: Select all

#R Fredkin|Vote
!
[[ RANDOMIZE ]]

A single cell is a long-lasting spark lasting 24 generations:

Code: Select all

#R Fredkin|Vote
o!

And peaking at 101 in T19-20

Code: Select all

x = 13, y = 13, rule = B1357/S02468|B5678/S45678
4b5o$4b5o$3b3ob3o$2b4ob4o$4obobob4o$13o$2o3b3o3b2o$13o$4obobob4o$2b4o
b4o$3b3ob3o$4b5o$4b5o!

Object collection:

Code: Select all

#R Fredkin|Vote
o9bo!

Code: Select all

x = 29, y = 10, rule = B1357/S02468|B5678/S45678
8b4o5$5bo12bo8bo$b5o3bo8bo7b3o$4obo10b5o5b3o$b5o3bo8bo7b3o$18bo8bo!

Hexagonal version:

Code: Select all

#R HexParity|B456/S3456H
!
[[ RANDOMIZE ]]

[Naszvadi]

Here is a signal rulespace with cardinality 78 and oscillators of period 4, 6, 8, 13, and above.
It is between B2ci3a/S02i3i6i and B2ce3-iny4-kt5-i678/S01c2-a3-eq45678.
...

Here is a signal splitter which works in the same rulespace as the reflector, along with a 0 degree reflector.

Code: Select all

rle

Unsolved periods: 2,3,5,7,9,10,11.
Period 12 oscilaltor is already done.

Period 9 found by rlifesrc:

Code: Select all

x = 13, y = 13, rule = B2cei3a6a8/S01c2i3i4t6i
4bo3bo3$6bo$o11bo$6bo$3bobobobo$6bo$o11bo$6bo3$4bo3bo!

[TheWayOfTheCon]

Period 9 found by ntzfind:

Code: Select all

x = 13, y = 13, rule = B2cei3a6a8/S01c2i3i4t6i
4bo3bo3$6bo$o11bo$6bo$3bobobobo$6bo$o11bo$6bo3$4bo3bo!

ntzfind can search oscillators?

[Naszvadi]

...
ntzfind can search oscillators?

My bad thanks, corrected.

[ThePlayzr]

Interesting failed puffer:

Code: Select all

x = 11, y = 12, rule = B3aeijn8/S23-cky4c5cek6ein7e8
3b2o$3b2o2$8b2o$7bo2bo$8bobo$9bo$2o$obo$2bo$obo$2o!

Confusing breeder:

Code: Select all

x = 4, y = 3, rule = B3aeijn8/S23-cky4c5cek6ein8
2bo$b3o$2obo!

It's like a pseudo-random sierpiński triangle.
Linear growth:

Code: Select all

x = 14, y = 11, rule = B3aeijn8/S23-cky4c5ce6ein8
12b2o$12b2o$2obo$b3o$2bo5$12b2o$12b2o!

Edit: another:

Code: Select all

x = 11, y = 12, rule = B3aeijn8/S23-cky4c5ck6ein8
3b2o$3b2o2$8b2o$7bo2bo$8bobo$9bo$2o$obo$2bo$obo$2o!

This one is infuriatingly slow and messy:

Code: Select all

x = 11, y = 12, rule = B3aeijn8/S23-cky4c5cek6ei8
3b2o$3b2o2$8b2o$7bo2bo$8bobo$9bo$2o$obo$2bo$obo$2o!

[rabbit]

B2ek3ei4at/S23 supports a very small reflector, which can be used to create loops of every period 31+:

Code: Select all

x = 28, y = 28, rule = B2ek3ei4at/S23
8bo$8b2o3$6bo$bo2bobo$2o3bo3b3o$11bo2$6b2o$6b3o$15bo$14bobo$16bo$11bo$
11bobo$12bo$19b3o$20b2o2$16bo$16b3o3bo3b2o$21bobo2bo$21bo3$18b2o$19bo!

It has three basic spaceships at c/6 diagonal (J), c/2 orthogonal (U), and c/14 diagonal (W). All 3 are demonstrated in this reaction which reflects one spaceship and converts the other:

Code: Select all

x = 12, y = 11, rule = B2ek3ei4at/S23
o$3o$2bo$2b2o5$10bo$9bo$10b2o!

Besides those spaceships, there's also two more basic c/2s, two rare c/4 diagonals, and this probably-adjustable family of c/2 spaceships (just need to find a 1c/2 with an o2bo backend):

Code: Select all

x = 38, y = 51, rule = B2ek3ei4at/S23
2bo4b3o4b2o5b2o$bobo2bo3bo5bo6bo$o2bo2bobobo2bo3bo2bo3bo$o16bo6bo5b2o$
15bo7b2o7bo$32bob2o$32bo3bo$32bob2o$30b2o3$30b2o$32bo$32bo$29bo2bob2o$
32bo3bo$32bob2o$30b2o2$34b2o$30b2o4bo$32bob2o$32bo$29bo2bo$29bo2bob2o$
32bo3bo$32bob2o$30b2o3$30b2o$32bob2o$23bo2bo5bo3bo$32bob2o$29bo2bo$32b
o$23bo2bo5bob2o$32bo3bo$30b2o5bo$35b2o2$30b2o$32bob2o$23b3o6bo3bo$23bo
bo3bo2bob2o$25b2o2bo2bo$25b2o2bo2bo$23bobo3bo2bob2o$23b3o6bo3bo$32bob
2o$30b2o!

Catagolue has even more c/2s, there's too many for me to conveniently list here.

There is a 3c/6 double-barrelled U backrake that can be suppressed, such as in the following reaction:

Code: Select all

x = 9, y = 66, rule = B2ek3ei4at/S23
bo$o19$bobo$b3o19$7bo$8bo19$b3ob3o$bobobobo$bo5bo$b2o3b2o$2b5o$4bo!

p242+12n gun using a splitter:

Code: Select all

x = 23, y = 20, rule = B2ek3ei4at/S23
7bo$6b2o4$2o$bo$o$2o2$2o$o$bo14b3o$2o16bo2$21b2o$21bo2$b2o$2bo!

I couldn't turn this faster splitter (based off of a similar looking but different starting reaction) into a gun, but it might be possible:

Code: Select all

x = 17, y = 20, rule = B2ek3ei4at/S23
11bo$11b2o4$2o$bo$o$2o12b3o$16bo$2o$o$bo$2o4$12b2o$2o10bo$bo!

This 12-cell constellation cannot be destroyed from the outside by well-separated chaos, and it may be the smallest:

Code: Select all

x = 5, y = 5, rule = B2ek3ei4at/S23
2ob2o$o3bo2$o3bo$2ob2o!

-
Another pattern of interest lies with the tub, which when suppressed from both sides becomes a replicator, and leads to several mostly adjustable gun designs:

Code: Select all

x = 85, y = 29, rule = B2ek3ei4at/S23
bo5bo13bo5bo32bo2bo2bo3bo$2o5b2o11b2o5b2o31b2ob2ob2ob2o$71b3o$67b3o3bo
9bo$67bobo2b3o8b2o$2o5b2o11b2o5b2o38b3o3bo$bo5bo13bo5bo43b3o$60b2ob2ob
2ob2o$bob3obo13bob3obo32bo2bo2bo3bo$2obobob2o11b2obobob2o$3b3o17b3o2$
28b2o$7b2o19bo$7bo$28b2o$28bo11$32b2o$33bo!

It's possible for patterns like those guns to actually extend the edges of the pattern by adding preblocks, so it might be possible to make patterns that move chaotically by being careful with replicator timings:

Code: Select all

x = 179, y = 9, rule = B2ek3ei4at/S23
o2bo3bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2o2$5b3o$5bobo$5b3o2$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2o$o2bo3bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo!

-
Miscellaneous glider syntheses:

Code: Select all

x = 27, y = 29, rule = B2ek3ei4at/S23
2bo11bo9bo$3o11bobo7bobo$15bo9bo3$21bo$11bo9bo$3o8bo8b2o$2o8b2o12$o$ob
o$bo4$2bo$2bo$b2o!

Two related splitters (U->2L, U->4L):

Code: Select all

x = 49, y = 17, rule = B2ek3ei4at/S23
4bo28bo$3b2o27b2o8$8b2o28b2o$9bo29bo$2o28b2o$bo29bo$2o28b2o$17b2o$17bo
29b2o$47bo!

Apgsearch also found this tiny p54 oscillator:

Code: Select all

x = 6, y = 6, rule = B2ek3ei4at/S23
bo2b2o$2bobo2$3b2o$2obo$o!

[I6_I6]

Cool rule!
Hmm...

Code: Select all

x = 28, y = 33, rule = B2ek3ei4at/S23
2o$2bo$bo6$8b2o$10bo$9bo6$16b2o$18bo$17bo6$24b2o$26bo$25bo5$26b2o$27b
o!

Different reflector, same properties:

Code: Select all

x = 8, y = 9, rule = B2ek3ei4at/S23
2o$2bo$bo5$6b2o$6bo!

Neat reaction:

Code: Select all

x = 19, y = 32, rule = B2ek3ei4at/S23
14b2o$16bo$15bo6$18bo$17b2o20$bo$2bo$2o!

[B468S02357]

Tis rule is named Flog!.

Code: Select all

x = 48, y = 7, rule = B2cn34cqz5i67c8/S2-i3-ai4cqz5k6in78|B3/S23
24bobo$obo8bo$10b3o9bo5bo$obo6bo3bo23b3o5b3o$10b3o9bo5bo8bo7bo$11bo26b
o8bo$24bobo!

These are objects i have found yet