Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » July 16th, 2018, 6:29 pm

Rule with two natural knightship slopes, (4,3) and (2,1):

Code: Select all

x = 35, y = 11, rule = B3aijkn4ceiwyz5aky6ei8/S2aei3aijnr4aceqrty5-any6-ce
6b2o12b3o9b3o$6b2o12bobo11bo$20bobo10bo$3o19bo$2bo$bo$21bo$20b3o$19b2o
b2o$20b3o$21bo!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by 77topaz » July 18th, 2018, 12:25 am

That rule also has a neat natural p32:

Code: Select all

x = 4, y = 5, rule = B3aijkn4ceiwyz5aky6ei8/S2aei3aijnr4aceqrty5-any6-ce
o2$3bo$b3o$b3o!
However, it also contains a (very) small seed for a messy replicator-like growth, which makes the rule as a whole explosive:

Code: Select all

x = 3, y = 2, rule = B3aijkn4ceiwyz5aky6ei8/S2aei3aijnr4aceqrty5-any6-ce
3o$3o!

dani
Posts: 1222
Joined: October 27th, 2017, 3:43 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by dani » July 18th, 2018, 1:08 am

A step in the right direction:

Code: Select all

x = 35, y = 11, rule = B3aijkn4ciwyz5aky6ei/S2aei3aijnr4aeqrty5-any6-ce
6b2o12b3o9b3o$6b2o12bobo11bo$20bobo10bo$3o19bo$2bo$bo$21bo$20b3o$19b2o
b2o$20b3o$21bo!
Quite frankly I'd just like to see a rule with two knightship slopes and one really common small spaceship that's stable, besides Life

dani
Posts: 1222
Joined: October 27th, 2017, 3:43 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by dani » July 18th, 2018, 8:17 am

I feel like we can get a two-slope-knightship-rule with this (2,1)c/5 that was in some other rule that I forgot...:

Code: Select all

x = 4, y = 8, rule = B3aeij5i/S2ae3ijr4aiwy5y8
2o$b2o$bo3$2b2o$o2bo$2b2o!
Shown is also an extral c/2.

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2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by 2718281828 » July 18th, 2018, 3:49 pm

This is not a knightship, but a weird diagonal (smoky) ship that seems to travel orthogonally for a couple of hundred ticks:

Code: Select all

x = 7, y = 10, rule = B2kn3aijnr4aciny/S2n3-cek4ajntw5-aky68
5bo$4bo$b2o3bo$b6o$2o2bo$3o2bo$2o$4obo$b4o$2b3o!
This is nicely apgsearchable for all symmetries and also has this clearly oversized p496, the largest oscillator in the catagolue that I saw so far (maximum bounding box 926x926):

Code: Select all

x = 474, y = 474, rule = B2kn3aijnr4aciny/S2n3-cek4ajntw5-aky68
236b2o$234b6o$232b10o$230b4obo2bob4o$230b2obo2b2o2bob2o$228bo5b6o5bo$
227b4o2bobo2bobo2b4o$228bo2b2o3b2o3b2o2bo$227b2o6b4o6b2o$234b6o$228b2o
4b2o2b2o4b2o$233bo6bo$229bo6b2o6bo$232bo2b4o2bo$236b2o$235b4o$233bo6bo
$233bo6bo2$235b4o$236b2o$235b4o$235bo2bo$234b6o$234bob2obo$234bo4bo$
235b4o$235b4o33$235b4o2$233bob4obo$233b2ob2ob2o$231b2o8b2o$232bobob2ob
obo$231bo2bob2obo2bo$232b2ob4ob2o$231bobobo2bobobo$232b10o$234b6o$236b
2o156$6bobo456bobo$5b4obo452bob4o$6bo3bobo448bobo3bo$3b2obo460bob2o$3b
2o2bo56bobobo336bobobo56bo2b2o$2b2o3bo5bo50b2obobo334bobob2o50bo5bo3b
2o$2b3obo4bo4b2o44b2o3b3o334b3o3b2o44b2o4bo4bob3o$b2o2bo3b2o12b3o37bob
2o2b2o332b2o2b2obo37b3o12b2o3bo2b2o$b3ob2ob3o2bobo3bob3o2b2o32bobo4b4o
332b4o4bobo32b2o2b3obo3bobo2b3ob2ob3o$3ob2ob3o2b4o3b3ob2ob2o32bob2ob3o
b3o330b3ob3ob2obo32b2ob2ob3o3b4o2b3ob2ob3o$3ob2ob3o2b4o3b3ob2ob2o32bob
2ob3ob3o330b3ob3ob2obo32b2ob2ob3o3b4o2b3ob2ob3o$b3ob2ob3o2bobo3bob3o2b
2o32bobo4b4o332b4o4bobo32b2o2b3obo3bobo2b3ob2ob3o$b2o2bo3b2o12b3o37bob
2o2b2o332b2o2b2obo37b3o12b2o3bo2b2o$2b3obo4bo4b2o44b2o3b3o334b3o3b2o
44b2o4bo4bob3o$2b2o3bo5bo50b2obobo334bobob2o50bo5bo3b2o$3b2o2bo56bobob
o336bobobo56bo2b2o$3b2obo460bob2o$6bo3bobo448bobo3bo$5b4obo452bob4o$6b
obo456bobo156$236b2o$234b6o$232b10o$231bobobo2bobobo$232b2ob4ob2o$231b
o2bob2obo2bo$232bobob2obobo$231b2o8b2o$233b2ob2ob2o$233bob4obo2$235b4o
33$235b4o$235b4o$234bo4bo$234bob2obo$234b6o$235bo2bo$235b4o$236b2o$
235b4o2$233bo6bo$233bo6bo$235b4o$236b2o$232bo2b4o2bo$229bo6b2o6bo$233b
o6bo$228b2o4b2o2b2o4b2o$234b6o$227b2o6b4o6b2o$228bo2b2o3b2o3b2o2bo$
227b4o2bobo2bobo2b4o$228bo5b6o5bo$230b2obo2b2o2bob2o$230b4obo2bob4o$
232b10o$234b6o$236b2o!

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2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by 2718281828 » July 18th, 2018, 4:55 pm

danny wrote: Quite frankly I'd just like to see a rule with two knightship slopes and one really common small spaceship that's stable, besides Life
An example:
(slopes: (1,0), (1,1), (2,1), (3,1))

Code: Select all

x = 130, y = 163, rule = B2eik3ciknq4aeijkrw5jq6ak/S1c2cei3aeik5n6c
14$16b3obo3b2o2bo2bo2bobobo3b2ob2obo2bo2b4o8b4o3b3o3b2ob2obob2o2b8ob2o
3bob2o2b2obo2bo2bo$16bo2b7o4b2o2bobob3o2bob2obo5bo4b3ob3o2b3o2bo6b3o3b
2o2b2o5bo2b2o3bo3bobo2bob2obo$17b4ob2obob2ob2obo4b2o3b2o3bo2bob3o3b3ob
o2b2obob2ob7obobo3b2o4bo2bo5b3obobobo2bo3b2o$16b2o2bo3b2ob2o7bo2b2o2b
3obo2b2o5b3obo2b2ob2o2bo4bobo2bobo3b5o2bo7b3o2bo3bo2b2ob5o$16b2ob3obob
ob2o5b5ob3obobobo5bo3bobo2b2o11bo2bo2bobo4b2obobo2bobob2ob2ob4ob4obobo
bo$17b2o2bob4obo3bo2b2ob7obobob2ob2o2bo2b3o3bo2b5obo8bo2b4obo3bob2obob
o2bobo2b2obo4bobo$16b3o3bo9bob3ob3o3bo3b3ob2o2b5obob2obo3bo3b5ob2ob2o
2b3o5b2o2bo2b2ob4o2b4obo2b2o$18b2ob2obob6o2bob2ob3o4b9o4b2o4b4o3bob6o
2b2ob4ob4o2bo3bo3bobobobo3b2ob3o$16bobo3b2obob3obobo3b3o2bo3bo3bo3bob
2o2b2ob2obob10ob3ob2o3bo2bo5b2o3b3o3bo2bobob2obobo$20bob6o4b2ob2obob3o
b2ob2o2b2o2bobobob2o3b2o4b2o2bobo4b2obobobo6bo4bo2bo2bo2b3ob2o3bo$19b
4o3b2ob4o2b2obob2o2b3ob4o5bob2ob4o5b2o2b3obob4obob2obob2obo2b3o2b2ob3o
4b2o2bo$17bobobob2o2b2ob2ob3o2bob3obobo2bob3obo2b3obobobobobobo2bobob
3obo2bob4ob3o3bo2b2ob4ob2ob2obo2b3o$17b3o3b3o2b2o2bo2bo3bo6bo2b3obo2b
2obo6bob2obob2ob2o3bo2b2o2bobo3bob3o2b2ob2o4b2o2b3o2b3o$16bobobo2bo2b
2o3b5o2b6obob4ob5o3bo4b3ob3ob2o2bo3bobo4bob2o2b5ob4obob3obobob2o2bo$
17bobob5obo2bob2o3bo2bo3b3ob2obobo3bo2b3obo2bob2obo4b3obobo7b2ob4o3bo
2bo4bobob3ob5o$16bo3bob5o3b2o5b5o2b2obob6obob2obo4b4o2bo2bo3b4o3b2obo
2b2obo3bo4b3o2bo4b2o2b2o$16bob3o2b4o3b7obo2b2o7bob2obo3b2o4b2o3b4ob2ob
2o3b2obob2o4b2o2b5obob3obob2o3bo3bo$16b4ob5o3b2obob2obob3ob6o2b3o2bo2b
5ob2ob3o3b3obobobob2obo3b3o4b2ob2obobo3bobo2bob2o2bo$16b2ob3ob3ob4obo
2b2o2b2ob2obo3bo2bo2b2obobobob2ob2ob5o3b3o2bo2b2obobo3b2obob3ob4obo4bo
2bob3o$18b2o5bob3obobob3o3b2ob4o2bob4o3bo2bo2b2o2b2ob2ob2ob7ob2o3b4o4b
3o3bo2bo3bo2bob3o$16bo2bo6b2obob4ob2ob3ob2o2bob2ob2ob3obo3b5obo2bob2o
3b2ob2obob2o4bobo3bob2o4bobobobo3b2ob2o$16bo5b2o4bo3b3o2b3ob5o3b3o3b5o
bo4b2o3bob3obo2bobo2bob2o4bo3bo2bo4bob3ob4ob2obo$21b4ob3o4bo3bo4b2obob
2ob7o2bo3b2obobob3obob2o2b2ob2obo2b2o2b2o2b3obo4b7obobobo$17bob5o3b2o
2b2o5bo3bobob2o3bob4o3b3o4bobobobo3b3obo4b3ob2o2b5o4b2o8bob3o2b2o$16bo
bo4b5o5bo2bob2obo3b4obob2ob3obo2b2ob5o5b2o5b2o2bob3obob3o3bo2b4ob5o6b
3o$16bobo2b5o4bobo2b2o2b2ob2o2bo3b4ob2obo2bo2b3o2b3o3bo3b2obo3b4o6b2o
2b2ob3obo2b5obo3b2o$17b2ob3o2bo3b4ob9o2bobob3o3b4o6bo2bo6b5o4b10ob2o5b
ob2o2bobo3b2o3bobo$16bo5bob4o6b4o2b2obo2b5ob4ob3o6b5obo2b3obobo2bobob
2o4bo3b4ob2obo2b3obo3b2o$16b2o4b2o7bob2ob2o3b2o2bo2bob2ob2o3bobo4b2o3b
obo3b2ob2obob3o2b2obobo3b2ob2ob2o2bo3b3ob3o$16bo2bob3ob2o4b3o6bo3b2o2b
4obob3o6b4o2b2o2b2ob2o2bo2b2o4b2ob3obobo2bobobobo6b7o$20b2ob3o2b3ob2ob
3ob3o6b2o2b3obo2bo3bobob2o2b3obo2b2o6bob3o2b4ob7obobobob3o4b3o$16bob2o
9b5o3b2obo2b3o2b2obobo3b2o4b9ob2o4bobobo3b2obo2b3o2b2ob3obo4b2ob2ob2o
3bo$19b2ob4o2bobo2b3obo2b3o2bob2obo2bobob3obo3bob2o2b5obob3o2bo6b2o2bo
b2obo4bo2b4o5bob2o$16bobobob2o2bobo3bobo2bobo2b2obob2obobob2o3b3o4b2o
2bobo2bobo2bo2bo2bo4b3o2bo3b5ob7obo4b3o$18b2o3b5ob2obo2b4obo3b5obobo4b
4o5bo4b3o3bob4o2bobob3o4bo2bob2ob4o2b2ob2o$16b7o4b2o4b2o3b2ob2o4bobob
3ob3o2bo5bo3bobobobo5bobob2obobobob2o2b2ob4o3bo2bo4b4o$16bo3bobo2bo2b
2o8b4o3b4o2b5ob6obobob2o4b6o4bob2obobo4bo7bob4o3b2o3bobo$16bo7bo3bo4b
3ob2ob3o6b2o2bo2bob2o2bo2bo3b2ob2ob3o4b4o10bob2obob5o6bo$18bo2b2ob2o2b
o6b2obobo3bobob2o3bo2b2obo3b2obo2b2o2b3o2b6ob2o2b3o5bob2obo2b2o3bobo2b
2ob4o$20b2o4b2o3bob2o2bobo3b2o5bob2ob6o2bo2b3ob3o5bo2bob3o4bobo4bob3o
2b2o2bo2b2ob2ob3o$18bob3o4bo3b2o5bo3bob3o2bobobo2bob2o4bob3obo4bobo2b
7obobobob2ob2o2b2ob7obo3b3ob2o$17b2o5bo2b2obobo4b7o2b2o3bobo3bob6obobo
3bob3obo4bob3ob2o2b2o2bobobobobo2bobob3obo3b2o$18b3o5bob4o2b2o3bobob2o
b2o2b6o2b3obobo3bo4bo4bo2b5o5bo5b4obob2o3bo2b7o2bo$16b3o7b10obo3b6obob
3o3bo5bob2o4b3o4bobo4b4obobobo3bobo3b4o5bobob5o$18bo2bo3bo4b2o2b3obo5b
3obo2b3obobo2bo2bob5ob2o2bo5bobob4o7b7obo6b3o2b2o2bo$17bob2obo3bo4bo2b
o3b2ob6obob2o2bo2b2o3b3o2bobobobo2bo3b2ob2ob2o2b2o2b3o3b5ob5ob2ob4ob2o
$16b2obo4b2obo3bob2o2b5obobo3bo4bobo2b3o2bo7b2ob2o2b2ob2ob3obo3b2o4b2o
bobobo2b8obo2bo$18bo4b5ob2ob2ob2ob4ob4o2b8o4bo2bo2b2obo4bo4bo2bobo3b2o
b4ob2ob2obobobobo4bo4bo$16b2ob3o2bo4b3o2b2ob4ob4o3bo2bo2b3o3b5ob2ob2ob
obobo2bo3b2o2bob2ob4o4bo3b2o2b3ob5o2bo$16bobo2b3ob8obobo7b2o5bob3obob
2ob2ob3ob3o2bobobobo7bo5bo3b3ob2o4bob2o6b4o$17bo3b2obobobo2b6o2b2obo2b
4o2b3o4bob7obobo3bo2b3obobob2o2b6ob2ob2obo7b3obo2bob2o$16bob2ob2o2bo3b
3o2b2obo2bob2ob7o2bob2o2bobobo3bo3b2o7bo2bobo6b2ob4obob2obob2o4bobobo$
16b3o6b2o2bob2obo3b3o2bo3b3o3bobo2bobobo2b2o3bobo2bo2bobo3b3ob6o2b2o3b
obob3obo2b2obo$18bobob5o4bo2b8obo2b2o2bob2ob6o6bobobo2b2o2b7o2bobo3bob
o2bo2b4ob2o5bo3b4o$16bob2obob4ob3obo3b3ob2ob5o3b8obo4bo2b3o2bobobo2bob
2o2bob3o3bo3bo5bobob3o3b2obobo$16bobo2bo3b2ob3o2bob4obo3bobo2b3obobobo
b2ob2ob3o2bo2b2obo3bo2b2obo5b3o3b3o3bobobob4ob2ob4o$17bobobob3o2b3ob2o
b3ob2obo4bo2b2o3b4obo2b2obo5b2ob2o2b2o2bobob2o2bobob2o2bo3bo4b2o3bo2bo
bob2o$19b3ob3obobob2o8bob2ob5obob2o2b2o4b2o3bo3b3o2bo2b2ob2o4b2o12b4o
4bo2bo4b2o$16bobo3bo2bo3bob2obo2b9ob2o2b2o6b3o2b3ob3ob2o5b5ob3o2b2o4bo
4b4ob2o3b2o2bobo2b2o$16b2o3bo3b3obobo5b2obobob3obob2o4bob2obo3b3ob2o4b
3obo2b3obob2ob3o4b2obob6ob3ob3o$16b2o2bob3ob6obo4bob5o4bob3o2bobob5o2b
3o4b5o2bo3b2o2bob4ob3o2b2ob3obo3bo3b3o2bo$16bo4b5o3bo6b3o4b3ob2o4bob4o
bob2ob2ob3o7b2ob2ob6obo2b5ob3obob4ob8obo$16b2o3b2o3bobo2b3o2b4o2b2o3b
4o5bob3o2bob3o2bob3o3bobo3b2o3b2obob8ob2ob3ob2o2bob3obo$16bo2bob4o5bob
obobo2b3o3b2ob2obob2o2bobo3b3o4b3obob5o3bobo3b3o4b2obobobobob2ob2ob2ob
ob2o$18bo2b3o2bobo2bobob2o6b8obo5b3ob6ob2obob2ob2o6bob2ob2ob2ob2ob2ob
2obo3b3o3b2ob2obo$16b2o4b8obob2o4b3ob3o2b2ob2o4bo2b2o3bo3bobo4b2o3b2o
3bo2bob2o2b2o3bobo3bobob3o2bo2bob2o$20bob3ob3o2b2ob2o2bobob2o2bobob5ob
o2bobo4bo2b3o2bob6o3bob3obo2b2ob4o2b4ob2o2b2o4bob2o$17b2o2bobobo3b4o2b
o2b3ob3obobobob2ob4obo2bob2o3bobo2bob4o2b6obo6b2ob2ob2o6b2o3b2ob2o$16b
3obob2ob4o3bob2o2b2o3bob2o2bo3bo6b2o3b3obob3o2b3o2b3o5bo2bobob5obob2o
6b2ob6o$16b2ob2obo2b3ob4o2b3o3bob2o3b3ob2o2b4o4bo3b2obob3o4b2o2b3ob2ob
4o4bo3bobob4ob2o2bo2b2o$16bob2o2b2o3b5ob3obo4bobo5bobo9b3obo3bobo5bob
6obobob2o3bo2b2obob3ob5obobo2bo$18b3o2b2o3bo3b3obob2o4b4ob2obo2b2o2bob
3ob4o2b2obo2bob2o3b2obobobobobobobo4bobo4b3ob7o$18b2obo3bo2b4obob4o8b
2ob3o2b4o2b7ob2o2b3o2b2o2b2o2bo3b3o5b2obobo2bobob2ob2o2b2o2bo$17bobobo
2b2o4b2o2b2ob2obob2o2b4obob5obo5b2o3b2ob2ob4ob2ob5o2b2o3b3o2bo2bo5bo2b
2o2b4o$17b2o3bob3ob2o3b4ob4obobobob2o5bo3b2ob4o2bo2bo2b8obo3b2o2bob2o
2b2ob2ob2o5bob3ob2obo$17bobob4o2b3o2bobo4b4ob2ob2ob5ob2obobobo4b6ob2o
4b3ob2obo3b3obo2b2ob2o2bo2b2o3bo2bob3o$16b2o2b2ob4ob2obo2b2ob2o6bobo4b
8o3bob2obob2o2bobo3b2obob5ob2o3b3ob4obo2bobo3bo2bo$17bo2b3ob2ob4o5bo3b
o2bob2obob2obo2b2o2b2o2b2o4bo5bo3bobobob2ob2o3b3obob3o2bobo3b2o2bo5bo$
16b3o5bo3b3ob3ob3ob2ob3o2b2o2bobobo2bo9b2o3b6ob2obo3b4o2b3o5bo4b2o2bo
5bo3bo$18b2obo5b2o2b2ob2o3bobo3b2o14b2o3b2o4bobo3bo5bo3b4o2b2ob3o4bo2b
o5bo3b2ob2o$16b2o2b3obobo3bobo4bobo2bobo3bo2b3o3bo3b2o3bob2o3b3ob7ob2o
2bob2o4bob6obobob2o2b4o$18b3ob3o3b2o2b3o4b2ob2obo5b2o2bob3obob2ob6o2b
2o4b6obob2o3b3ob2o3bo3b4o3b2ob5o$16bob2ob3obob3o2bo3b3obob4ob2o4b6obo
4bo4bob2o3bo6b2o2b2o2b2o3b4o3bob8o2bobobo$16b2obobobo2bo2b2obo6b3o4b2o
3b5o3b2ob4o5bob2o3b2obob3o2b2o2bob4o2b3o7bo3b2obobobo$16bob2o4b2ob2obo
b4o4bo2bobo2b4ob2obo2bobo5bobob10o2b3ob2o5b5o3bo2b2ob2o3b6o2bo$16bobo
2b4obo2b2obo7bo3b6o4b2o4b2obob2obo4b2o2b2o3bob5obo2b3obo2b4o4b3o2b2ob
4o$16b3ob2o5b2ob6o2bob2o2b2o3bobobo4b4o2bob4obobob2o3b2o2b2obob2o2b3ob
o4bob4o5b2o3b2obo$20b7obo3b2o2b3o2b2ob2ob2obo5b7ob2o2bobobo2bo3bobob2o
4bobob4o2bo2b2obo2bobo3b5obo$17b3o2bob3ob3o3bo3b3o2b4o3bo4bo2b2obob4o
2bo3b2ob4ob2ob3o2bobobo2bobo3b2o3b4ob2o2b4o$17bobo10b4ob6ob6ob2obo3bob
o2b5o2bob2o4b6obo2b2ob3o2bo2b2o2b4ob2o2bobo2b3ob3o$16b2o2bobo2bobobob
6ob3ob2o3b4o2b2o6b2obobo2bo2bo2bob2ob4ob2o2b3o2b3o4b2obo3bob4obo4bo$
17b2ob2o4bo3b2o2bob2o6b2o4bo2b2ob3o6b2ob7o2b3o3bob2o2bobobobo3b5ob5o3b
obo5bo$16b5o4bo2b3o4b7ob2ob2ob3ob3ob2o3b2ob2ob2obo3b2ob2obobobo2b3ob2o
b2obo2bo3b2ob5o2b5o$16bob2obob6o2bobob4o3bo3b4o3bobob2o6bo6bo3bob2o2b
3ob5o4bo2bo5bobobo2bo2bobo3b2o$16b2ob6o3bo2b2o4bo2b2o3bob3ob2obobo2bo
3b3obo2b2ob2o3bo2bo2bo9bo2b2o4b6o2bo2bobob2obo$18b2o3bo3bobob5o4bob3ob
2o4bo2bob2obobob6o2bo2b2ob3o2b2o3b2ob3ob5o2bobobob2o5bo4b2o$16bob2obo
5bob3o4bobobobobo2bo3bo2b6o2b2ob2obob2obo7b2obob3ob2ob2obo2bo3bo2bob2o
b3o6bo$17bo4b3obobo6bo3bobobo2bo2b5o3b2o2b5o2b4ob2obobo2bob2obo3bo5bob
8obo3b2o3b3obo$18bobo2bo4b5obob5o3bobobo3b3ob2o2b2o3b2obobob6ob2obo4b
3obob3obob2o5bo2bobo2b2obobobo$18b3o3b5obob4o3bob4obob2obob2o4bobo8bo
2b2obobobobo3bobo2b2ob2obo2bo2b3ob2o2bo2bo2bo2b2o$19bo3b3obo3bobobo2b
2o4b5o3bo2b3obo2b2ob2ob2o3b3ob2o2bobo3b3obo2b2o2b2o2b2o2bo7b2obob3o$
17bo2b6ob2ob9ob4o2b2o4bo2bob3obobo3bob2ob2o3b3o3bobobo3b2o2b2ob4ob6obo
5b3o2bo$18bo4b2o5bo2bo2bobobob2o3b4o2b4obo3b2obob3ob2ob3o2b3ob3o2b5obo
b2obob2ob3obo3bo2b3obo$20b2o7bo2bobobobobo2bo6b4ob8obobo2b2obobobobo4b
3obobo2b3ob6obob2o2b2o3bobob2obo$17bob3obo7b5o2bob3o5bo4bobo2bo2b4o4b
2ob2ob2obo7bobob2o4bob6o2b2o2b4o2b2o$16b2ob2ob2ob7obo2bobo6b4o3b4obob
2o2b6ob2o2b2ob2ob2ob2ob2ob5o3b4obo2bobob2o6bobo$16bobob2obo2b4o3bo6bob
ob3ob3o5bo2bobo3bobob2o3b5ob4obo2b2o2b3ob3o3bo2bo2bob3o2b2obobo$17b3o
4b7o2b2obobo2b2ob2ob2ob2ob4o2b4o3b2o2b3o2bo3bo3bo2bo2b2o2bo2bo5bob3o3b
o2b2o2bob3o$20bo3bo2b2obo2b9ob5o7b2obobo3b7ob7o2b2obo4bob2o2b2o2b3o6b
3o2bo2b2o2b2o$19b2o2bo2b4o3bob3obob2ob2obob2o5b2ob3obob2ob3obob3ob3o2b
ob2o3b3obo2b2o2b2o2bo2bo2b2o2b2ob3o$20b2obobo4b3obo4bo2bo3b2ob4o3bob3o
bobo5bob3obob4o2bobob2o6bo4b2obo2bo2bo2b2ob5o$16b2ob4o2bob2o3b5o3b4o3b
3ob3ob4o2bobo3bo2b6obob4o2bo2bo5bobobobo2bo3bo3bo2bob4obo$18b2ob3ob3ob
ob3obob3o3bo3b4ob3obob3o4b2obob2o3bobo3b2obob2ob5ob7obo2b2ob4obo2bobo
25$49bobo7bo7bo8bo2bo$50bo8bobo6bo8b3o$60bo8bo$68bo!
It also works for B2ek3inq4aeijkrw5jq6ak/S1c2ce3ak5n6c but this is too sparse. In the chosen rule, all ships are in the top 10 in C1 soups, and there exist other nice natural ships.

Edit1: A related rule:

Code: Select all

x = 74, y = 31, rule = B2eik3ciknq4aeijkrw5jq6aik7c/S1c2cei3aeik5n6c7
2$34bo$32bo3bo$32bobobo$32b2ob2o3$4b3o44b2o$4bo46bo$3bo49bo$4bo49bo$
33b3o2$12bo46bo$12bo45bo$9bob2o19b3o22bo2bo$10bo21b3o24bo6$44bo21bo$
45bo6bo13bobo$33bobo9bo7bobo11bo$34bo9b2o8bo!

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » July 18th, 2018, 7:43 pm

Here's another one, with (2,1)c/5, and (3,1)c/7:

Code: Select all

x = 20, y = 4, rule = B2e3aeijk4jqw5i/S2ace3eijry4ainwyz5cjy8
3o5bo9bo$obo4bobo7b3o$9bo9bo$bo8bo!
The real star of this rule has to be this pattern though, breathtaking (run with HashLife):

Code: Select all

x = 21, y = 21, rule = B2e3aeijk4jqw5i/S2ace3eijry4ainwyz5cjy8
9b3o$8b5o$8b2ob2o$8b5o$9b3o4$b3o13b3o$5o11b5o$2ob2o11b2ob2o$5o11b5o$b
3o13b3o4$9b3o$8b5o$8b2ob2o$8b5o$9b3o!
EDIT, this rule also has a (4,1)c/10 along with the speeds of 2718281828's edit above:

Code: Select all

x = 50, y = 5, rule = B2ek3cinqy4-cnqyz5acjq6aek/S1c2cei3aeik4wz5cekny6-in7e8
bo11b3o9b2o8bo12bo$obo10bobo10bo7bobo10bobo$13bo12bo6bo13bo$13bo11bo$
12bobo!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

User avatar
_zM
Posts: 186
Joined: June 26th, 2016, 3:07 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by _zM » July 20th, 2018, 4:45 pm

c/6o, 10c/34o and a (14, 13)c/101 beehive puffer:

Code: Select all

x = 115, y = 40, rule = B2k3ainr4aew5e6i/S23-c4eiy6c
b2o27bo36b2o$obo26bobo34b2ob2o$2bo28bo35b5o$b2o27b2o34bo3bo$b2o62b2o2b
o$66b3o$67bo$75b2o$74bobo$73b2obo$74b2o5bo$75bo6bo$74bo8bo$73b4ob2o2bo
$74b2ob2o2bo$77b2o6$85b2o12bo8bo$85b2o11bo2b2o2b2o2bo$94bo3b2o2bo2bo2b
2o3bo$93bobo2bo2bo4bo2bo2bobo$93bo5bobo4bobo5bo$93b2o4b2o6b2o4b2o2$99b
o8bo$97bo2bo6bo2bo$96bo3bo6bo3bo$96bo4bo4bo4bo$96b3o2bo4bo2b3o$97bo12b
o3$97bo12bo$97bobo8bobo$97bobo8bobo$98bo10bo!
moment

User avatar
Hdjensofjfnen
Posts: 1742
Joined: March 15th, 2016, 6:41 pm
Location: re^jθ

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 20th, 2018, 11:16 pm

4c/4:

Code: Select all

x = 5, y = 5, rule = B2a3er4ai5-k678/S2cn3enq56
obobo$obobo$obobo$obobo$2ob2o!
8c/8 rake:

Code: Select all

x = 6, y = 10, rule = B2a3er4ai5-k678/S2cn3enq56
2ob2o2$5o$bobo$2b3o$2b2o$2b3o$b3obo$2b2obo$3bo!
EDIT: !?:

Code: Select all

x = 7, y = 5, rule = B2a3er4ai5-k678/S2cn3enq56
obobobo$obobobo$ob4o$b2obobo$2bobobo!
EDIT 2: More stuff!:

Code: Select all

x = 31, y = 74, rule = B2a3er4ai5-k678/S2cn3enq56
3bobobo$bobobobo20b3o$bobobo24bo$bobobobo19bobo$3bobobo7$28bobo$30bo$
28b2o$30bo$7bo20bobo$5bobo$3b2o$bo3bo$2obobo5$26b5o$30bo$24bob4o$30bo$
24bo3b3o10$26b3obo$30bo7$18bobobobobobo$20bobobobobo2$22bobobo$24bobo$
25bo$20bobobobobo$18bobobobobobo3$18bobobobobobo$20bobobobobo2$20bobob
obo$22bobobo$23bobo$20bobobobobo$18bobobobobobo3$16bobobobobobobo$18bo
bobobobobo2$18bobobobobo$20bobobobo$21bobobo$18bobobobobobo$16bobobobo
bobobo!
... don't ask.

Code: Select all

x = 20, y = 20, rule = B2a3er4ai5-k678/S2cn3enq56
3b3ob2obobob4obo$o3b4o2bob8o$obobo2bobo2bo5bo$ob3o2b2ob3ob3ob2o$4ob2ob
4o2b6o$2o3b2obo2b2o2b2obo$3bob2o2bobo2bobo$3o2b2ob4o3b3obo$9o3bob6o$2o
bo2b3o3bobob2obo$2bo4bobobobo2b2o$bo2bob2o2b5o3b2o$2ob2o5b2o2b2o2b2o$b
o6bobo4b3obo$5ob2o2bo3bo2bo$2b3ob6o2bob2obo$obob2o2bob2o5b2o$b4ob2obob
o3b4o$2obobo2b3o3b2obobo$12b2o2b3o!
EDIT 3: Rakes! Rakes! Rakes!

Code: Select all

x = 8, y = 7, rule = B2a3er4ai5-k678/S2cn3enq56
4bobo$7bo$2o3b3o2$4o$4bo$ob3o!

Code: Select all

x = 7, y = 10, rule = B2a3er4ai5-k678/S2cn3enq56
obo$2bo$6bo$obobobo$2ob3o$2b3obo$2b3obo$5bo$6bo$4bobo!

Code: Select all

x = 5, y = 5, rule = B2a3er4ai5-k678/S2cn3enq56
obobo$bo2bo$3bo$bo2bo$2bobo!

Code: Select all

x = 10, y = 5, rule = B2a3er4ai5-k678/S2cn3enq56
b2o6bo$o2bobobobo$9o$6obobo$3bo5bo!
... and more ships.

Code: Select all

x = 5, y = 5, rule = B2a3er4ai5-k678/S2cn3enq56
o$obo$3b2o$2bo$2bobo!

Code: Select all

x = 5, y = 5, rule = B2a3er4ai5-k678/S2cn3enq56
obobo$2bobo$3bo$4bo$2bobo!
Here's a 4-way intersection that usually fails but occasionally survives:

Code: Select all

x = 21, y = 20, rule = B2a3er4ai5-k678/S2cn3enq56
bobob3o2bobob2o2b2o$b6obo5b3ob2o$2b4obo2bo3b3ob3o$3b3ob3obobobo3bo$5ob
3obo3bob2obo$obo2b2o4bobo2b5o$obobo3b2ob3obo2bobo$b2ob3obobob3ob2o2bo$
2bo2b3o2bob2ob3o2bo$b2ob5o5b2ob2obo$2o4bo2b2o4bo2b2o$3bobo4b3ob3o2b2o$
o4bo2bo2b10o$5obo2b5ob6o$4o3bobo4b2o3b2o$6b2ob5o2b4o$b4ob2o2bo2b2o2b2o
bo$obob3o10bo2bo$o4b3ob5o2bo2bo$bo7bo3b2obob2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » July 21st, 2018, 8:57 am

2718281828's second rule in their last post above has a ridiculous number of spaceship speeds:

Code: Select all

x = 312, y = 274, rule = B2eik3ciknq4aeijkrw5jq6aik7c/S1c2cei3aeik5n6c7
3bo3bo45bo16bo9bo15b2o3b2o22b2o18b3o15bo15b2o7b2o15bo3bo3bo12b2ob2o7b
2o8bo10bo10bo25bo14bo$bo2b3o2bo42bobo13bo2b2o5b2o2bo13bob3obo22b2o18b
3o11bobobobobo10bo11bo13bob3ob3obo11bobobo8bo7bobo8bobo10bo22bo2bo12bo
$b3obo3bo58bo2bo2b3o2bo2bo11bo4bo4bo20b2o30bobobobobobobo8bo4bobo4bo
13bo9bo11bo3bo8bo6bo11bo13bo22bo12bo$4o3bo60bob2obo3bob2obo15bobo55b2o
b2o5b2ob2o8bobobobobobo14bo9bo13bo9bo28b2o27bo11b2o$3obo4bo59bo3b2ob2o
3bo12b2ob2ob2ob2o19bo2bo29bo11bo12bo3bo19bo2bo2bo54b2o$7bo60bo3bob3obo
3bo16bo20b12o14b3o9b2o7b2o9b2o2bo3bo2b2o14bobo3bobo54bo$2obobo63b2o4bo
4b2o12b5ob5o15b2o8b2o24b2o11b2o12bobo19bobo3bobo55b3o$4b2o62b2o2bo2bo
2bo2b2o10bo3bo3bo3bo13b3o2bo2bo2b3o23bob4o3b4obo8bo9bo78b4o$2obobo64bo
9bo12bo2bo5bo2bo13b4obo2bob4o24bobo7bobo9bobo5bobo15b2o5b2o55bo$ob2o2b
o60bo4bo5bo4bo10b3o5b3o15bobobo2bobobo28bo5bo15bobobo17bo9bo54bo$b4obo
61b2o11b2o11b2o7b2o14b3o2bo2bo2b3o25b2o7b2o11b3o3b3o15bo2bo3bo2bo52bob
o$2bo64b2o13b2o35b2obo6bob2o26bobo3bobo13bobobobo17bob2ob2obo53b2o$3b
2o64bo11bo39bo8bo31bobo16b2o3b2o18bob3obo55bo$4bobo61bo13bo37bobo6bobo
47b3o2bo2b3o14b2obo3bob2o$3b2o2b2o59b2o2bo5bo2b2o96bo9bo14bo4bo4bo52bo
bo$3bo3bo58b3o13b3o77bobo16bobobobo16bo3bobo3bo52b2o2bo$3bo2b2o60bob4o
bob4obo37b3o6b3o47bo2bo3bo2bo19bo59b2obo$4bobo61bo3bo5bo3bo37b3o6b3o
47bo4bo4bo15bo7bo56bobo$b2o2bo64bo4bo4bo98b2obobobob2o13b2obo5bob2o$b
3o69bo3bo42b3o6b3o47bo9bo13bob2o5b2obo$3bob2o65bobobobo101bobo3bobo17b
2o3b2o$5bo61b3o4b3o4b3o122b2o3b2o$bobo2b2o61bo11bo39bo8bo50bobobobo17b
2o5b2o$69bobo7bobo37b2ob2o4b2ob2o71bobo5bobo$o4bobo58b2o15b2o35bobo6bo
bo49b2o3b2o17b4ob4o$4b4o58bo17bo34bo3bo4bo3bo70bob4ob4obo$obo2bo61bobo
11bobo34b2obob2o2b2obob2o49b3o17bobob2ob2obobo$4bobo61bobo9bobo98b3ob
3o20bobo$b2ob2o2b2o59bob2o5b2obo43b2o54b3ob3o15bo4bobo4bo$b3o63bob2obo
5bob2obo39bob2obo49b5obob5o12bob2obobob2obo$8b2o57bo15bo36b3obo2bob3o
46bo2b2o3b2o2bo12bo2b3ob3o2bo$9bo56bobo13bobo38b2o2b2o52bo5bo17bo2bobo
2bo$68bo13bo37bobob4obobo46bo11bo17b3o$9bo58bo3b2obob2o3bo40b2o2b2o73b
2o3b2ob2o3b2o$72b2obob2o125bo9bo$9bo57b2o5bobo5b2o38bo6bo74bob3ob3obo$
69bobo7bobo39bo8bo$9bo58bobo9bobo37bo2bo4bo2bo76bobo$67bob2o9b2obo37b
2o6b2o$9bo57b2o13b2o41b2o80b2ob2o$124b4o78bo2bo2bo$9bo112b3o2b3o78bobo
$122b2o4b2o75b2obobob2o$9bo115b2o78b2o5b2o$125b2o77bo2bo3bo2bo$9bo114b
o2bo77bo2bobo2bo$123bob2obo$9bo112bobo2bobo76bo5bo$122bobo2bobo76bobob
obo$9bo114b4o77b3o3b3o2$9bo112b3o2b3o75bobo3bobo$123bo4bo75bob2o3b2obo
$9bo114bo2bo$121b2o6b2o75b2o3b2o$9bo111bob2o2b2obo$121b4o2b4o74b2ob3ob
2o$9bo111bo8bo74bo3bo3bo$121bo8bo74bo3bo3bo$9bo112bob4obo74bob7obo$8bo
114bo4bo76bo2bobo2bo$8bo194bo11bo$7b2o113bobo2bobo73b4o5b4o$8bo113bo6b
o73bo4b3o4bo$123bo4bo75bo9bo$7bobo112b2o4b2o74bob3ob3obo$6bo115b2o4b2o
76b2o3b2o$9bo199bo$6bo116bob2obo76b2o2bo2b2o$122bobo2bobo77b5o$122b2o
4b2o76bobobobo$206bo5bo$122bo6bo$203bo2bo5bo2bo$121b3o4b3o77b3o$124bo
2bo76b3o2bo2b3o$121bob2o2b2obo72bo4b3o4bo$121b2o6b2o78bo$120b2obo4bob
2o76b3o$121b2o6b2o2$124bo2bo80bobo$123b2o2b2o80bo$124bo2bo$123bo4bo76b
obo3bobo$123bob2obo77bo2bo2bo$120bo3bo2bo3bo74bo5bo$119bo3bob2obo3bo
73bob3obo$120b2o2bo2bo2b2o73b2o2bo2b2o$120bobobo2bobobo77bo$121bo8bo
73bo3bobo3bo$122bobo2bobo75bobo3bobo$124bo2bo79b5o$122b2o4b2o74b2obo3b
ob2o$202bob3obobob3obo$119b3o8b3o71bo2bo3bo2bo$119bo12bo75bobo$120b2o
8b2o72bob7obo$120bo10bo73bo2bobo2bo$119bobo8bobo71bo2b5o2bo$119bo12bo
72bobo3bobo$119bo12bo71bo9bo2$118bobo10bobo72bo5bo$119bo12bo71bob2o3b
2obo$118bo14bo70b3o5b3o$118bobo10bobo68bo3b3ob3o3bo$118bo2b4o2b4o2bo
69b2ob2o3b2ob2o$119bo2b2o4b2o2bo73bo2bo2bo$118bo2bobo4bobo2bo72bo5bo$
118bo5b4o5bo72bo2bo2bo$117b2o6b2o6b2o$117bo6b4o6bo69bo3bobo3bo$207b5o$
121bobo4bobo2$121bo2bo2bo2bo$123bo4bo$120bo10bo$121b2o6b2o73bob2obob2o
bo$203bo2bob3obo2bo$119b3o2bo2bo2b3o72bobobobobo$123bo4bo78b2ob2o$124b
4o76bob2o3b2obo$121bo2b4o2bo73bo9bo2$124b4o77b2o2bo2b2o$121bo8bo76b5o$
119bobob6obobo71bobo5bobo$120bob3o2b3obo72bo9bo$121b4o2b4o74b2o5b2o$
118bo6b2o6bo72b3ob3o$124bo2bo$118b4obo4bob4o75bo$118b2o2b2o4b2o2b2o73b
o3bo$119b2o10b2o73b2o3b2o$121bo8bo77bobo$120bo10bo74b2o3b2o$119bo2bo6b
o2bo$120bo10bo74bo5bo$119bobo8bobo74bo3bo$119b2o10b2o71bo2b5o2bo$119bo
12bo71bobo5bobo$119bo3bo4bo3bo69bo4bobobo4bo$209bo$120bo2bo4bo2bo71bob
obo3bobobo$120b2o8b2o71bobo2bobo2bobo$203bobobobobobobo$118b2o12b2o74b
obo$120bo10bo71bobo7bobo$117bo2bo10bo2bo70bobo3bobo$121b2o6b2o76bobobo
$121b2o6b2o76bobobo$120bo10bo73bo3bo3bo$205bo7bo$120bobo6bobo75bobobo$
122bo6bo75bo7bo$121bo8bo75bo5bo$119bo2bo6bo2bo$117bo16bo69b2o3bo3b2o$
119bo12bo72b2o2bo2b2o$122bo6bo75bob5obo$120b3o6b3o74b3ob3o$120bo2bo4bo
2bo73b2obobob2o$119bo3bo4bo3bo72bob2ob2obo$118b2o12b2o74b3o$118b2ob2o
6b2ob2o68bobo9bobo$202b5o5b5o$203bo4b3o4bo$204b2o7b2o$205b2obobob2o$
208b3o$205b2obobob2o$204b2obo3bob2o$205b3o3b3o$204b2o2bobo2b2o$203bo2b
o5bo2bo$202b2obo3bo3bob2o$202b2o4bobo4b2o$205bo7bo$203bobo7bobo2$204b
2o7b2o$205bo2b3o2bo$208bobo$205b2obobob2o$205b3obob3o$206bobobobo2$
208bobo$209bo2$204b2o7b2o$202b3o9b3o$202bo6bo6bo$203bobobobobobobo$
203bo11bo$203b2o9b2o$202bo2bo7bo2bo$208bobo$208bobo$208bobo$208b3o2$
207bobobo$206b3ob3o$203bobo3bo3bobo$203bo4bobo4bo$206b2obob2o$203b2o9b
2o$203bobobo3bobobo$205bo2b3o2bo$207bobobo$206bo5bo$204b3o2bo2b3o$207b
o3bo$205b2ob3ob2o$203bo3b5o3bo2$204bo2bo3bo2bo$207bo3bo$207bo3bo$203bo
2bo5bo2bo$204b2o7b2o$204bobo5bobo$204b2o2bobo2b2o2$205bo2bobo2bo$205bo
bo3bobo$205b9o$208bobo$205bo7bo$206bo5bo$208bobo$204bo3b3o3bo$204bob2o
3b2obo$204bo2b5o2bo2$203b2obobobobob2o$203b3obo3bob3o$202bo2b2o2bo2b2o
2bo$206bo5bo$203bo4b3o4bo2$207b5o$208bobo$208b3o$207bo3bo$206b2o3b2o$
204bo3b3o3bo$203bob2obobob2obo$204bo2bo3bo2bo$204bo2bo3bo2bo$205bo3bo
3bo$204b3ob3ob3o$204bo3bobo3bo$203bo11bo$207bo3bo$203b2o9b2o$206bob3ob
o$205bo7bo$202b5obobob5o$207b5o2$202bobo4bo4bobo$203b2o3b3o3b2o$204b2o
3bo3b2o$206bo5bo2$207bo3bo$206bobobobo$205b2ob3ob2o$206bo5bo$206bo5bo!
I am sure there are more, and I am still searching.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

User avatar
Hdjensofjfnen
Posts: 1742
Joined: March 15th, 2016, 6:41 pm
Location: re^jθ

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 21st, 2018, 7:03 pm

Common quadratic growth:

Code: Select all

x = 100, y = 100, rule = B2-ac3aci/S23-n4i
2b3o2bo4bobo5bob3o2bobobob2o2b5obobob3o2b7ob3o2b2obobo6bobobob5o3b3o2b
obo$3b2o2bo2b3ob2o3bo3bobo5b4ob2ob2obobobo2bobo4b2obob3o4b3ob2o2bob2o
2b3o4bob2obobob2o$3bobo3bo2b5obob2obo2bo4bo3bo4bob2o3b3o3b4ob6obobo4bo
b2ob2ob2ob3o2bo4bo$bo2bobob2ob3o2bo3bobobo3bo7bobobobobob3ob6obo3bob2o
bobobo2bo2bo3b4ob2ob2obob5obo$3b3obobo2bo2b2ob2o2b2o4bo2bob2obo2bo3b5o
bobo2b8o2bo3b2obo2b2ob2ob4ob6obo4b2o$3o2b2o2b2ob3o4bobobo4bobobobobo2b
obob2obo3b2ob2o3b4ob2obo2bo4b2o2bobo3bo3b5obob2obo$6bo5bobo2bo3b6o3b2o
b3obo2bo4b2o4bob5obo3b3ob3o2bob5obo3bobo2b4o2b2obo$bo2b2obob4o2bobobo
2bob2obob2o5bo3bo9bobob3ob2ob3obobo2bo2bob2o3b2obo3bobob2o3b4o$ob2o2bo
bo2b2o4bo2b2o9bo4bo2bo2bo3bo5bo2bob3o2bo3bobobo3bo3bobobobob6ob3ob2o$b
2o4b7obob2ob4o4b3ob3ob4o2b2ob2ob3o2b2ob2obo3bo2b2ob2ob4o2b4ob6obob3o2b
o$b2o4bobobo3b2ob2o4b5ob3o3b2o3bo2b3ob5o2bobo3b4o2b2obob2ob2o3bo3bob2o
bob2o2bo2b2o$bob2obo2bo2b3o3b4obob3obobob3o5bobo3b2o2bobo2b3o2b2o3bo2b
o2b6o4bo3bobob3ob3o$2ob3obobob3o3bob2obo3bob2ob4o3bo5b2o2b5ob3o2b2ob2o
bo2bo7b6o3bo3bob2o3b2o$2ob2ob2o3b5ob2o3bobobobo2b4o3bo2bobo2b2o4b2o6b
2o2bo3b2o5b3ob3o2bob4ob7obo$3b2obo3b3ob2o2bo4b2obobob2o2bob5o3bo3b2o2b
2o11bobo3bobobo4bo3bob3o3bobobo2bo$2bo2b3o11b2o2b4obo2b4obob3ob3o3b3o
2b2o2bo5bob4ob2o2b2o2b2obo2bo2bob2o2bob5o$5ob2o3b5o3b3o4bo4b7o2b3o2bob
obo2b3o3bo2bob2o3b3ob2ob2ob3ob4o2b2obo2b3o2bo$2b2ob2o5b2o3b2o3b2obo2b
3ob4o3b5ob2o4b2obobob2ob2obo2bo2bob2o3b2o3b3ob2o3bo2bobo2bo$2obo2b5o4b
o2b3o2b6o3b2ob2obobo2bob2o3bo3bob3o4bobo3b3obo4bo2b4obo3b5o2bo$5o3bobo
bo5b3o5b7ob4o2bobo3b2o4bo3bo2b2o7b2obobo3bobo3b3ob2ob2ob2o2bo$obo4bo2b
obo3bo2b3o3bo3bob2obo3b3o3bob7obo2bo2b2ob3ob2obobo2bobo3bobobob2o3bo4b
obo$5o2bo3b3o2bo2bob3obob3o2b3o2b7o2bo6b2ob2o2bob2o2bo3bob2o3bobobo3b
2o4b3o2bo$b6obo2b2o3bo3bobo2b2obobo2b5o4bo2bob2obo5b3o3b2o4bo2b5o6bobo
4b2o5b4o$2b5ob2o2b2obob3o3bo2bo2b2ob2o6bobo2b2obob2obobo6bo2b2obob5o2b
o3bobob2ob3obob3obo$bo2bo2bob4ob3o2b3o4b2o2bo2b3o3b2o2bo2bobob5obob3ob
o2bo2b2obo2b4o2bob3o2b2o5b6o$2b3ob4ob2o2b2ob3o2bo2b2o2b5obob2o3b5obo3b
2o4b5o6bo3bo5bo4b3o2b2ob2ob3o$ob2o4b4o3bo3bo2b2o5bobob2o2b2obob3o3b3o
2b3o7bobo2bo2b6ob3ob2obobo4bobob3o$3bob3obo2bo2bob2obobobobob2ob3obo2b
3o5b2obob2o2bo3b2o6bobo4b2o2b2o2bobo2b3obo3b5o$o3bobo3bob3o3bob3ob2ob
2o2b2obo3b3o2b2o3bob2o2bobob5o2bo2bobobo2b2o2b4o2b3ob3o2bob4o$2ob4ob3o
2b2o4b5obo2b3o3bo3b2ob3obo2b3ob4obob3obobo2bobobo3b2ob5obo3b4o3bob2o$o
3b2obobob2obo2b4o2bo2b2ob2o2bo4b2ob2obobo2b3obo3bo2bobo5bo4b3o3b3obo2b
3ob2ob2obobo$9b4ob4obo2b3ob2ob3o4b2o2b2o3b3obob2o2b2ob2o2b6o2bobo3b4o
7bo2bo2bo2bo$2b2ob5o4b3o3b3ob3ob2ob4ob3ob2ob3o2b2obobobo2b2o2bobo2b2ob
3o6b2o4bobob2obob3o$obobobobob2obo3bo9bo2b4ob2obo2bob7o3bob2o2bo8bo2bo
5bo2bobo2b2o2b3ob4obo$o4bobo3b4ob4ob2o4b2o2b2ob3o2bo2b4o2bo4bo2b4ob2o
3b4o4bo2b2o3bo6bobobo2bo$o2bo6bobo2bo3b4o2bo4b2o7bobo2bobo3bobo4b2o2b
2ob2o2b2obobo5b3obo2bob2o2b3ob3o$5o2b2ob6obo2bo3bob5obo2b4o8bob4ob2obo
2b3o2b3obobo2b3o4bob6o2b2ob2o3bo$3bobob2obo2bo2bobo8b2obobo2b3ob7obobo
b6o2b3o2bo6b6o3b6o4bo2b3obo$2o4b2o5bo2bobobob3obo7b3obo2bo2b3obob6o4b
2o2b3o3b4o2bo8bo8b2o3bo$b3obobobo3b2obobo2b3ob2o3bo2bo3bo2bob3o4bo3bo
2b2o8bobob3obo4bobo3bo4bobo2b2obo$o5bobo2b4obob3ob3ob2ob6o5b2o4b3ob4o
2b2o3b3obo4b3ob5ob3o2bobo5bobo$2obobob2o5bo2bo2b2ob2o2b2o3b3o3bo4b2o3b
4o2b4ob4ob4obo3b6ob4o2b3ob4ob3obo$2b7obob3o2b2o3bo2bo2b2o3bo2b2o2b2o3b
o3b3ob2obob2o3bo8b5o3b2obo4b3obo2bo3bo$2b4ob2o3b2o3bo6bo2bo6bo2b2o2b4o
bob4obo2b6o3bo2bobob4obob2ob5o2b2ob2o4b2o$2o2b4ob3obo3bobob3o2b2o2bob
2obo5bobob3o2b2o3bobo4b2obo4bobo2bobo2b4ob4ob5o3bo$5b3o3b2obobo3bob2o
2b3obob2o3bob2o2b2obobob2o6bobo4bo4b2obobo5b5o2b3o2bobo2bo$o2b2obobobo
2b5o5bo2b2ob2o2b3ob3ob6obobo5b2o2b3obob5ob2o2bo7b2ob2obo2b6o$bo5b3o4bo
2b2o2b2ob3obo2b4ob4o2bobo2b2ob3o2b2obo2b4ob3o4bob2o2bo2bo2bo9bo$bobo3b
o3b2ob3obo6bo3b4o2bo2bo3b2ob2o2b3o2b3ob2o2b2ob2ob8obob2o2b6o3bobob2o$b
2o3b3obo4b2o3b5obob2o2bo2b3ob2o3b2o2b2obob11o2bobobob2o5bo4bo2b2obo3bo
bobo$2bob3o2bob2ob2o2bo3b3o3b5o2bo3b2o3bob6ob2ob2o2bo3b2obo2b3o2bob2ob
ob2ob2obo3b2o4b2o$3bob3o2bo2bo3b2obobobobo2b2o9b3o8b4o2bo3b4o6bo2b5ob
2ob4obo2b2obo3b2o$3o3bo2bo5b2ob6ob2ob4ob2o2b2o2bob3obobo2b2ob2o3b2o2bo
3b5obo2bob2ob3obob5o2b3obo$b2ob3ob2ob2o3b7o2b2o2b2o4bob3o3bobo2b2o2b5o
bo2b8obobo2bobo2bobobobobo8bo$5o2b2obob4o2bo2bob2o2bo5b9o2b6o2bo4b2o2b
o4bo3b2obobobo2bo2bobo2b2obobo2b4o$3o2b3o2bob2o2bobo2bo4b2obo4b6o2b2ob
2o2bob2o6b2ob2obo2bobo2b2o2bo2b5o2bob10o$2bob5o4bobo3bob2obob2o2bo3b2o
bo5bobo3bob11obobo2bobo4b3o5b6obo2bob2o$ob3ob2ob2obobo6bobobo2bo2bobo
2b3obo2b5ob2o2bo4b4ob3o3b2o3b3ob2ob3o3b3o2b7o$2o7bo2b4ob2o2b8o2b2obob
3o2bob2obobobobo3bobob2o2bo2bo2b2ob2obo2bo4bo2b3ob2o4b3o$obobo4bobobob
2obo3bobo3bo2bob3o4bo2bo2b5o4bo2b5o3bob3o3bobobobobo2bo3bo3b3o2bo$3ob
2ob3obo3b2obo7bo2bobob2o3b5o3bo3b4o3bob4ob2o2b2ob2obo2b2o5b6o2bob4o$3o
bo2bo2bobo2b2o3b3obobo2bo2b2obobob2o3b3ob2o2b4o4b3o2b2ob3ob2o4bob3ob5o
bo2bo3bo$4o2bobobobobob3o3bo3bob2o5b2o2b3obo3b3ob2o2b2o4bob4ob2o4b4o3b
5ob2obob5obo$2o2b3ob6ob3o2b3o3b2obo3bo2bo2bo3bo4b3o2bo4b3obobo4b3o2bo
7bo3bobobobobo2bo$o5bobobo3bo2bo3bo2b4obobob2o3b2ob2obob2o2b2o2b2obobo
bob6o2b2o5b4obobo2b2o5bob3o$bob3ob2obo2bo5bo2b2o6bobobob4o2b2obobo5b2o
b2o2b6o3bo2b3o4b4o3bo2b8o$b2ob2ob2obo5bo4bob4obo4bo3b6obobo3b3o2b3obob
ob2o2bo3b2obo7b3ob2obo2bo6bo$2bob2obobob5o4b5ob3o4b3obo2bo3b5ob3o3b4o
4bo2bo3bobobobo3bobobo2bo3bobobo2bo$bob2ob2o4b2o4b4obob4ob3o2b6ob2obo
3bobo3bo2b3o3b4o4bob2ob3o2b2obob3o2b3obo2bo$2o2b3o3bob3obo4b2o2b4o2b3o
bob2ob2o3bo3b4o4b3ob2o4bob3o2b4obo3bo3bo2bo4b5o$2o5bo4bob3ob2o3b5o2b3o
3bob2o2bo3b3obo2bo4b6o2b2o2b2obo3bo2b3ob3obob6o2b2o$2o2b4o4b3o4b2ob3ob
o3bo4bo2bo6bobobob2o4b2obob3o2bo3bo2bobobo2bo2bo2bobo2bob3o2bo$b2obo2b
o2bobo2bob2o7b4ob2ob2o5b2obobob3o2b3ob3obo2b6o3bo3bo3bo2b2ob3obo2bo3b
2o$obo4b6obo2bobo3b3ob2ob2ob3ob6ob5o4b2ob2o3bo5b2obo3bobo5bobo2b3o5bo$
b3obo10b2o2b2obo4b2obo2b4o2bob4o3b4o3bo2bo3b2ob3obo2b3o2bo2bo3b3o4b3ob
obo$7obo3b3obob2obob2ob2o2b4ob2obo2b2o2bo2bo2b2o3bobobo2b3ob6ob2o8bo2b
o2b9o$3ob6obob2ob3ob3o2bo2b2o3b4ob2obobobo4bobob3o2b4o3bo3bo2b4o3b3obo
3bobo3bo2bo$3bo2b2ob3obo2b2ob2obob2o2bob2obobo3bo4b5obob2o2bo2b3o2b4ob
5obo5bo3b3obob2ob2o$2o3b2ob4o2b2o5bobobob2o3bob2obobo2bo3bobob2o4b3ob
7obob2ob3o2bob2obob3ob2ob4ob2o$o4b3o2b2o4bo3bo3bo2b4o2bo3bo2b2ob6obo2b
o3b2ob4ob2o4bo2b2o2b5o2b2obob5o4bo$3b3o2b2o3b2o2b2ob4ob2ob6o2b4o3b5obo
3bobo3b2obobo7bo5b5ob5ob2o3b2ob2o$2ob2ob2o2b3obobo3bob2o2bo2bo2b3o3b2o
b3ob4obo5b2ob2o3b2obo3b2o6bob3o2bobo4bobob3o$b2obob9ob9ob3ob2o2bobo2b
2ob3o2b2ob2ob2o2bobob3obobobobob4o6bobob4o2b3o$5o6b3ob6o2b4o3bob2o2bo
2b5obob3o5bo4b3ob2o4b3o3b2ob7o3b3obobobobo$o2bob3o3bo3bo2b2o3bob3o2b2o
3b2o2bo4b3o3b4o2bobobob3obo3bobo9bo2b2o2bo3b2o$b4ob2ob3obob5ob2ob3obo
2bo2bo5bo4b4o2b3o3bo3bo2bo2bob4o2b2o2bob3obo3b3o3b5o$bo2bo2b3ob6ob2ob
2o10bobobob2ob3o5bo2b2o2bob3o2b2o6bo2b2o2bo3b2ob3obobo5b2o$6o2b2o2bob
3o2b4obo3bob2o2b2o2b2ob3o3b3obo6bo2b4o6b3obo2bo2b2o2b9o4b2o$3b2o4bo2b
6obo2bobo3bo2b3o2bo2b4o3b3o3bo2b3ob2ob3ob2o3bo3bob3ob2o4bob4o3bo2bo$b
2o2b3obo3b3o3b2o2b2o3bob2o3b2o2b5obo2b2obo4b2obo6bo2b2obo3bo5b2o3b3obo
3b2o$ob3o3b2ob2ob2o2bo2b2obo2bo2bo2bo4bobobo2bo4b7ob2obo5b2obo3b2obobo
2bob4obo3b6o$5o5bo3b9ob2o2bo2bob2o2b2ob2o2bob2o2b2o4b2obo3bo4bo2b4o2bo
bo3bob2ob2o5b4o$o2bobo2bo2b3obobob2o2bo2bo4b2o5bob4obob5obo2b2o4bob2o
2b3ob2obo6bob2o3bobob2o3b2o$5b2o5b2o5b2ob4o2b2o2bobo2bo2bo3b2o2b3obob
2o6bo3b2ob5ob6o2bo2bo2b2obobobobo$o3bobob2ob3ob3o2bobob2o2bob2o2bob4ob
o3b2ob2o5b3o2b6o3b3ob3o7b2o2bob7obobo$2b2o3b4o2b2obo3bo2b3ob5o2bobob3o
bo7bo2b3o2b5ob2o2b3o5bob3ob3o2b2o3b2ob2o2bo$3o2b2ob2obobo3bob2o4bo6b3o
bobob4o2b2obo3bo2b2ob4o2bob2o2bo6bo2b2obob2obobob2obo2bo$2o2bob2obobo
2bo2bo2bob2o2b3ob4ob2o2bob2ob2ob3ob2o2b2o2b2o3b5obo5b2ob2o3b2o3b4o2b4o
$ob2o2b3ob7o2b3o2b4ob6obo3b3o2bobobo6b3o3b2o3bo5bob2obo4b4o2b3ob3ob2o$
o2bo3bobo2bo2bo3b4o5b2o3b6ob3obo3b2o2b5o2b2o2bo3b2o2b2obobob2o3bob3o2b
o2b3o3bo!
EDIT: c/14 in the parent rule:

Code: Select all

x = 5, y = 5, rule = B2-ac3aci/S23-n
3b2o$4bo2$o$bo!
EDIT 2: p58:

Code: Select all

x = 9, y = 9, rule = B2-ac3aci/S23-n
6b2o5$5b3o$o4bo2bo$o4bo$6bobo!
EDIT 3: I find this amusing:

Code: Select all

x = 9, y = 10, rule = B2-ac3aci/S23-n
obo$obo$bo6$3b2o2b2o$3b2o2b2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

User avatar
Hdjensofjfnen
Posts: 1742
Joined: March 15th, 2016, 6:41 pm
Location: re^jθ

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 22nd, 2018, 6:01 pm

An explosive rule with only one rare natural spaceship, 2c/28:

Code: Select all

x = 4, y = 7, rule = B3/S12ae34i
b2o$b2o2$b3o$o$obo$bo!
EDIT: Non-explosive variant:

Code: Select all

x = 4, y = 7, rule = B3/S12ae3-y4i
b2o$b2o2$b3o$o$obo$bo!
EDIT 2: Confirmed natural in new variant. Natural synthesis, derived from 250x250 soup:

Code: Select all

x = 14, y = 18, rule = B3/S12ae3-y4i
obobo$7b2o$b2o3bo$8b2o$6b2o$6b3o2bo$8bo2b2o$9bo3bo$11b2o$8bo3bo$9bobo$
9bobo$9bobo$9b3o3$9bo$9bo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » July 26th, 2018, 1:11 am

Code: Select all

x = 3, y = 14, rule = B2-ck3ci4jt/S
o$o$bo$obo$obo$bo$obo$obo$bo$obo$obo$bo$o$o!

User avatar
Hdjensofjfnen
Posts: 1742
Joined: March 15th, 2016, 6:41 pm
Location: re^jθ

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 26th, 2018, 9:09 pm

B2ikn3aei4aknq/S23

c/6 and p24:

Code: Select all

x = 21, y = 5, rule = B2ikn3aei4aknq/S23
2bo$bobo9b2o3b2o$o3bo7bo2bobo2bo$13b2o3b2o$b3o!
EDIT: 2 blinkers can interact non-trivially, forgot to post it:

Code: Select all

x = 5, y = 5, rule = B2ikn3aei4aknq/S23
3o2$4bo$4bo$4bo!
EDIT 2: How about this for a weird synthesis:

Code: Select all

x = 8, y = 10, rule = B2ikn3aei4aknq/S23
4bo$2b2obo$2b2ob2o$5bo$2b3o$2bo$4bob2o$2o$2obo3bo$5b2o!
EDIT 3: This common c/6 diagonal evaded my notice:

Code: Select all

x = 4, y = 4, rule = B2ikn3aei4aknq/S23
3o$3bo$o$b2o!
EDIT 4: Surprisingly close to an oscillator (p42?):

Code: Select all

x = 6, y = 5, rule = B2ikn3aei4aknq/S23
b3o$o$o4bo$bo3bo$5bo!
p20:

Code: Select all

x = 3, y = 5, rule = B2ikn3aei4aknq/S23
bo$3o2$3o$bo!
EDIT 5:
p4 oscillators:

Code: Select all

x = 4, y = 6, rule = B2ikn3aei4aknq/S23
2o$2o2$3bo$3bo$3bo!

Code: Select all

x = 11, y = 10, rule = B2ikn3aei4aknq/S23
4bo$4bo$4bobo$2bo$8bo$3o$8b3o2$5b2o$5b2o!
Synthesis for the second one:

Code: Select all

x = 5, y = 6, rule = B2ikn3aei4aknq/S23
3o$o2bo$2b3o$o2b2o$o$2bo!
p2 oscillators (last one may be trivial):

Code: Select all

x = 5, y = 5, rule = B2ikn3aei4aknq/S23
3bo$2bobo$2b2o$2o$2o!

Code: Select all

x = 4, y = 7, rule = B2ikn3aei4aknq/S23
o$o$obo2$2bo$bobo$b2o!

Code: Select all

x = 5, y = 7, rule = B2ikn3aei4aknq/S23
4bo$4bo$4bo2$b2o$obo$2o!

Code: Select all

x = 5, y = 3, rule = B2ikn3aei4aknq/S23
3o2$2b3o!
Block can absorb a spark from p24:

Code: Select all

x = 11, y = 9, rule = B2ikn3aei4aknq/S23
9b2o$9b2o5$b2o3b2o$o2bobo2bo$b2o3b2o!
FINAL EDIT:

Code: Select all

x = 5, y = 9, rule = B2ikn3aei4aknq/S23
2o$2bo$2o$b3o$bo2bo$b2o$4bo$2b2o$2b2o!
Alright, bye.

EDIT: Hee hee, I lied:

Code: Select all

x = 11, y = 10, rule = B2ikn3aei4aknq/S23
3bo$3o$bob2o$2bo2bo$3b2o4bo$2b3o3bobo$4bo2bo2bo$3bo4b2o$2bo$2b3o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Hdjensofjfnen
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 27th, 2018, 8:28 pm

Here comes a quadratic replicator:

Code: Select all

x = 6, y = 6, rule = B3-jkqy/S123
bo$3o$bo$4bo$3b3o$4bo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Hdjensofjfnen
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 28th, 2018, 1:59 pm

Remember my first post on the forum? It was about 'hat siamese hat'.
Well, here you go, a rule where they're incredibly common:

Code: Select all

x = 3, y = 2, rule = B2ci3aei/S023
bo$3o!
...and even-period oscillators abound:

Code: Select all

x = 70, y = 7, rule = B2ci3aei/S023
25bo$35b2o11b2o$o4bo4b2o12b4o7bo12bo18bo$o5bo3b2o12bo2bo4b2o25b2o4b2ob
2o$o4b2o5b2o18b2ob2o11b2o10bo5bob2o$12b2o11bo9bo2bo9bo2bo3b2obo5bo$24b
2o11b2o11b2o3b2o!
EDIT: p6 was with the p4s, oops

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

dani
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by dani » July 28th, 2018, 7:43 pm

Alright, apparently I was ''''''''polluting'''''''' another thread so I guess I'll post here about this rule for now on, check rules with adjustable spaceships for the adjustable spaceships in this rule.

p12 puffer in the rule:

Code: Select all

x = 8, y = 5, rule = B2ce3cen4eknt5kn6-ce7c8/S01c2aen4ciknr5aknq6k7e8
b2o$bo4bo$2bo4bo$o5bo$2bo!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 28th, 2018, 10:52 pm

2c/4:

Code: Select all

x = 7, y = 4, rule = B3-r/S235a
2b3o$bo3bo$o5bo$b2ob2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Hdjensofjfnen
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » July 29th, 2018, 2:11 pm

Sorry for clogging :wink:
Unix-like p5:

Code: Select all

x = 9, y = 6, rule = B3/S23-i4r
3b2obo$bo5bo$bo5bo$2o2bo2b2o$2b3o$2b2o!
EDIT: Synthesis of table on table:

Code: Select all

x = 8, y = 5, rule = B3/S23-i4r
2bo$bobo3bo$2obo3bo$o2bo3bo$b2o!
EDIT: Different rule, 2c/28 diagonal:

Code: Select all

x = 5, y = 5, rule = B2in3-y/S023-i4q
o3bo2$4bo2$obo!
EDIT: Wait a second...

Code: Select all

x = 15, y = 5, rule = B2in3-y/S023-i4q
4bo5bo3bo2$4bo9bo2$obo7bobo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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77topaz
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by 77topaz » August 1st, 2018, 10:24 pm

AforAmpere wrote:Here's another one, with (2,1)c/5, and (3,1)c/7:

Code: Select all

x = 20, y = 4, rule = B2e3aeijk4jqw5i/S2ace3eijry4ainwyz5cjy8
3o5bo9bo$obo4bobo7b3o$9bo9bo$bo8bo!
Here's a Suns-like puffer in this rule:

Code: Select all

x = 91, y = 49, rule = B2e3aeijk4jqw5i/S2ace3eijry4ainwyz5cjy8
27bo5bo23bo5bo$26bobo3bobo21bobo3bobo$25bob7obo19bob7obo$26b9o21b9o$
27b3ob3o23b3ob3o$27b2o3b2o8bo5bo8b2o3b2o$27b3o2bo8bo7bo8bo2b3o$26b5obo
25bob5o$25bo3b2o3b2o19b2o3b2o3bo$26bo2b2obobo21bobob2o2bo$27b3o2bo25bo
2b3o$32bobo21bobo$b2o28bobo23bobo28b2o$3o27bo2b2o21b2o2bo27b3o$b2o31bo
21bo31b2o2$34bo21bo$30bo2b2o21b2o2bo$31bobo23bobo$33b2o21b2o3$27bo5bo
23bo5bo$28bo3bo25bo3bo$41bo7bo$42bo5bo2$32bo25bo$33bo23bo4$26bo37bo$
27bo35bo4$15b2o13bo29bo13b2o$31bo27bo$14bobobo53bobobo$14b2o59b2o$16bo
57bo$27bo5bo23bo5bo$28bo3bo25bo3bo$41bo7bo$42bo5bo2$32bo25bo$33bo23bo!
Hdjensofjfnen wrote:!?:

Code: Select all

x = 7, y = 5, rule = B2a3er4ai5-k678/S2cn3enq56
obobobo$obobobo$ob4o$b2obobo$2bobobo!
That's an XOR-type replicator running on an agar; one end of the agar gets pulled along by the replicator in a fashion similar to HighLife's basilisks.

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KittyTac
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by KittyTac » August 1st, 2018, 10:48 pm

Run to gen 510 or 511 for an interesting pattern:

Code: Select all

x = 5, y = 5, rule = B1357/S1357
bobo$obobo$b3o$obobo$bobo!

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77topaz
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by 77topaz » August 2nd, 2018, 8:16 pm

AforAmpere wrote:EDIT, this rule also has a (4,1)c/10 along with the speeds of 2718281828's edit above:

Code: Select all

x = 50, y = 5, rule = B2ek3cinqy4-cnqyz5acjq6aek/S1c2cei3aeik4wz5cekny6-in7e8
bo11b3o9b2o8bo12bo$obo10bobo10bo7bobo10bobo$13bo12bo6bo13bo$13bo11bo$
12bobo!
Here's a very small seed for a backrake crystal in this rule:

Code: Select all

x = 8, y = 8, rule = B2ek3cinqy4-cnqyz5acjq6aek/S1c2cei3aeik4wz5cekny6-in7e8
bo$obo$bo$bo$3bo$o5bo$o3b2obo$b2o3bo!
EDIT: And here's a new spaceship, 2c/7 orthogonal:

Code: Select all

x = 7, y = 5, rule = B2ek3cinqy4-cnqyz5acjq6aek/S1c2cei3aeik4wz5cekny6-in7e8
5b2o$o4b2o$o4b2o$o4b2o$5b2o!

AforAmpere
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » August 3rd, 2018, 6:57 pm

77topaz wrote: Here's a very small seed for a backrake crystal in this rule:

Code: Select all

x = 8, y = 8, rule = B2ek3cinqy4-cnqyz5acjq6aek/S1c2cei3aeik4wz5cekny6-in7e8
bo$obo$bo$bo$3bo$o5bo$o3b2obo$b2o3bo!
EDIT: And here's a new spaceship, 2c/7 orthogonal:

Code: Select all

x = 7, y = 5, rule = B2ek3cinqy4-cnqyz5acjq6aek/S1c2cei3aeik4wz5cekny6-in7e8
5b2o$o4b2o$o4b2o$o4b2o$5b2o!
Wow, neat, I didn't think that the rule really had anything else interesting.

A Generations rule with seemingly only one object, this 12c/36 diagonal:

Code: Select all

x = 3, y = 3, rule = 23-aq4cektz5-eiqy6ci/2-ak3-cekq4aeiz5ac6k8/3
3A$ABA$2A!
A cute C/6 diagonal:

Code: Select all

x = 3, y = 4, rule = 23-aq4cektz5-eiqy6ci/2-ak3ijnry4aeiz5ac6k8/3
.B$3A$2A$A!
8c/16 replicator:

Code: Select all

x = 4, y = 3, rule = 23-aeq4cektz5-eiqy6ci/2-ak3-ekq4aeiz5ac6k78/3
4A$A2.A$4A!
28c/413 d:

Code: Select all

x = 11, y = 11, rule = 23-aq4cektz5-eiqy6ci7c/2-ak3-cekq4aeiz5ac6k78/3
5.B$7.2A$6.A.A$3.B.2A.2A$6.A.2B$B2.A2.A.2BA$2.4A2.2B$.A5.3A$.3A3B2A$
3.A3BA$5.A!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » August 3rd, 2018, 11:44 pm

It's Sierpinski time!

Code: Select all

x = 3, y = 9, rule = B2en3-eknq/S23
bo$obo$obo$bo2$bo$obo$obo$bo!
EDIT: Teardrop to teardrop. Can't be made into an oscillator because the blocks would intersect.

Code: Select all

x = 7, y = 4, rule = B2en3-eknq/S234q
obo$2bo$3o2b2o$5b2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » August 5th, 2018, 5:58 pm

A few discoveries, in a rule where the glider survives (but the loaf is transformed):

Code: Select all

x = 22, y = 6, rule = B35k/S2-cn35i
20bo$bo9bo7b3o$3o7bobo$9bo2bo$3o7b2o7b3o$19bobo!
EDIT: Unrelated rule, c/4d and c/3o:

Code: Select all

x = 14, y = 4, rule = B34a/S13
2bo$2o$o10b3o$o11bo!
EDIT 2: Unrelated rule, asymmetrical p6 and a very sparky p12:

Code: Select all

x = 19, y = 4, rule = B2ei3/S23-a
2bo13b3o$obo12bo2bo$o2bo11bo2bo$o15b2o!
EDIT 3: Yet another unrelated rule, twin 2c/4s:

Code: Select all

x = 15, y = 3, rule = B2cek3anr/S0
o9bo$4bo6bob2o$bobo9bo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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