Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » January 28th, 2024, 4:52 pm

spaceship tagalongs that seems to be "loopable". Is it possible to have 3 in a loop (in another rule, obviously)?

Code: Select all

x = 24, y = 26, rule = B3-jknr4kn5y6e/S2-i3-ay4iqtyz5acq6cn7e
13b3o$14b2o$15bo8$21b2o$23bo$18bo4bo$18bo3b2o$18bob2o7$3o$o$2o2bo$2bob
o$2b3o!

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confocaloid
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » January 28th, 2024, 8:37 pm

yujh wrote:
January 28th, 2024, 4:52 pm
spaceship tagalongs that seems to be "loopable". Is it possible to have 3 in a loop (in another rule, obviously)?

Code: Select all

x = 24, y = 26, rule = B3-jknr4kn5y6e/S2-i3-ay4iqtyz5acq6cn7e
13b3o$14b2o$15bo8$21b2o$23bo$18bo4bo$18bo3b2o$18bob2o7$3o$o$2o2bo$2bob
o$2b3o!
The ruel is apgsearchable, boatstretcher, rake, p30 oscillator

Code: Select all

x = 51, y = 42, rule = B3-jknr4kn5y6e/S2-i3-ay4iqtyz5acq6cn7e
19bob2obobobo5b5ob3o2bobo$20b2o2bo3bobobo4b3obobobo2bobo$19b2ob2o2b2ob
o6bo2b2o3bobobo$19bo2b2o2b2o3bobo3b4obob5o$22b4o2bobobobo3bobob2ob5o$
20b2o2b6o3b5ob3o6bobo$20bo2b3o2b3o2bo3b5o5bo2bo$20bobob5o2bob4o2b2obob
4o2bo8$3o$b2o$2bobo$4b2o$4b3o15$19b5ob3o2bo2b4ob4o4bo$18bo4bobo2b2o2bo
4b11obo$18b2o3bob2obo2bobo4bob2o2b2o2bo$18bobo2b3o3bo3bob3o2b2o7bo$18b
o2b3ob2obob2obob2o3bo2bob4o$21b3ob3o2b2o4bobo3b2o2b2obo$18bo3bobob2o2b
obob2obo2bo2b6o$19bob3o2bo3bo4bob2ob5o2b2o!
Edit: another rule, c/34d, 2c/5o, p28, p38, p76 periodic glider/T tracks. No gun so far

Code: Select all

x = 89, y = 97, rule = B34y5a/S2-ik35q6a
79bo$79b2o$77b2obo$75b2o2bobo$74b2obo3bo$76bo3bob2o$76bobo2b2o$77bob2o
$77b2o$78bo2$32bo14bo15bo$31b2o14b3o11b2o2bo$20bo11bo14bo15bo11b3o$20b
2o53b3o$b4o13b2obo54bo$6o8b5ob2o$bo2bo8b2ob2o2b2o$15bo5b2o$15b2o5bo10b
o$16b2o2b2ob2o9bo$16b2ob5o8b3o$16bob2o$16b2o$17bo4$76bo$75b3o3$51bo14b
o$49b3o14b2o$51bo14bo16bo$82b2o2b2o$82bo4b2o2$44bo$21b3o14bo2b2o38b2o
4bo$21b2ob2o16bo39b2o2b2o$20bo3b2o13b2o3bo41bo$20b2o3bo13bo3b2o$20b2ob
2o16bo$22b3o16b2o2bo$39bo8$19bo2bo29bo$19b2obo28b2o$20bobo28bob2o$20bo
b2o27b2ob5o$20bo2bo27b2o2b2ob2o20bo$50b2o5bo21b2o$50bo5b2o21bob2o$48b
2ob2o2b2o22b2ob5o$49b5ob2o22b2o2b2ob2o$53b2obo21b2o5bo$55b2o21bo5b2o$
55bo20b2ob2o2b2o$77b5ob2o$67bo13b2obo$66b2o15b2o$67bo15bo$31bo2bo$32b
3o$30bo2bo$29b2ob2o$30bo2bo23b3o$58bo$73bo$72b3o5$48bo15bo$47b2o15b2o$
47bob2o13bo$47b2ob5o$47b2o2b2ob2o20bo$46b2o5bo21b2o$46bo5b2o21bob2o$
44b2ob2o2b2o22b2ob5o$45b5ob2o22b2o2b2ob2o$49b2obo21b2o5bo$51b2o21bo5b
2o$51bo20b2ob2o2b2o$73b5ob2o$77b2obo$79b2o$79bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » January 29th, 2024, 3:50 am

This soup produces a clock:

Code: Select all

x = 64, y = 64, rule = B3-y/S02-i3
o3bobo7bobo2b2o2b2o5b2obo2bo4bobob2o2b2obo2b2ob4o$b3o2b4obob5o2bobob5o
4bob2o2b3ob6obo2bo4bobobo$6obo2b3ob3o3bobob5obo2b2o2bobo3b3obo4b2ob3o
b3obo$o8bob2ob2ob3o3b2o2b3o3bobo3bob2o2bobobo7b2o2b3o$o11bo2bobobo2b2o
bob2o2b5ob2o2b2ob5o2b2o2bobo2b3o$b3ob4o3b5o2b2o3bo2b4o2bo3bobobob2o2b
o2b2o2bob2o2bo2bo$4b2ob3obob2ob5o3b2o2bob3o4bo2bo2b2o3b3ob2obo2bob4o$
b2o4b4ob2o5bobob2o3bo4bobobob3obobo3b2obob2o5b3o$4obo4bo5b2ob2o2bo2bo
2b4obob2o2b4ob2o6b3obo3b2o$ob2o2bobo2b3ob2o2b3o2bo4b3o4b2o3bobo2bo2bo
2b4ob2obobo$2ob3ob3obo2b3ob2ob4obobob5ob4ob4o4b3obo2bobob2obo$4ob3ob2o
2bo2bo3bob2obo4b4o2b5ob3obo3b3obo2bobo2b2o$b2o2bo2b3ob3ob2obobobobobo
2bob2o2bobo2b2ob3ob2obob3o4bobo$3bob2o2b2o2bobo2bobobo2bob4o3bo2b5ob3o
bo2bo5bob3ob2o$2ob2o2b5obo2b8obob2obo3b3o2bo2b2o4b2obo2b2obo3bobo$o2b
2obo3bo3b2obobo2bobo2bob3obobo2bo5b2o2bobobob2ob3o2bo$ob2obo2bo2b2o3b
obo2bobobo2b3ob2ob2obobo3b3ob3o3bo2bob4o$o2b2o3bo3bo2b2o2b2ob2o2bo2b2o
bob3o2bob5o2b3ob2o3b3o$bo3bob2o4b7o3b2obobobo4bob9ob2o4bo2bobo2b3o$3o
bo3bob7o3bobo3b2o4bo3b3o3bo2b3o2b2obo5b2o$bo2bobo7bo2bo3bob2obobob2o2b
2o3b5ob4o2b4o2bobo2b2o$3o3bo4bo5b2o4b2obo3bo2bo2b2o3b3o3bo2b2o2b3o2bo
3bo$ob3obobo3bo2b2obo4b2obob2obob3o2bob2obobo2bobo2b6o2b2o$3o4bobo2b2o
8b2o2b3o3b3o2bobobobobob2ob3o2b3o2bo2bo$ob2o2bobobo3bobobob3obo3b2o4b
ob2o10b4obo2bob2ob2o$bob2o2b4o4b3o4b5o2bo2b3o5bobo4bo2b5obo2bobo$obo2b
o2bob4o2bob2o2bo2b2ob6o3b2obo2bob2ob2o3bo2bob3obo$obobo2bo5b2ob2o3b4o
2b2obo2bo4bo2bo2b2obob2o2b3ob6o$6o2b4ob3ob2o2b2ob3obo3bo3bob2obobo2bo
b2obo4b2obo3bo$3o2bob3obo2b2o2bo3bobobobob4obobo2bobo2bob2o7b2obobobo
$2ob5ob4obo3bo3bo5b3ob3o2b2obo6bo5bob2o3bo$bo5b3o2bo2b3o2bo6bobo3b2ob
4ob5ob2ob2obob2obobob2o$2b2ob2ob2o3b2o2b3ob3ob4ob3obob4o2b2o3bo3b5ob2o
2bo$2o4b4o8bob3o2b3o2b2ob2obob2o3bob2o2bo5bob4o2bo$bob2o5b2obob2o2b3o
2bob2obo3b2o2b2obob2o2b3ob4obobob4o$4ob2ob2obo2bo4b2ob3o2bo2bo3bobo5b
4obob3obo4bobobo$9b2obob4o2bo2bo3bob3o2bo5bobob3o2bob8obob2o$6bob2ob3o
bo2bob3ob4ob2ob2obob3ob2o2b2o3bo2b2obo2b2o2bo$ob3o5b3ob2o2bob3obo3b2o
bobob2o3bob2o4bob2o2bobob2obobo$2bob2o3b7obo2bob4obo2bo4b2o2b2o2bobo2b
2obo4bob5o$bob2o4b3o6b2o5b2o2bobo3bo4b2obo6b3obo2bo2b2obo$5o4bo2b4ob4o
b2obobo3b3o2b3o4bobo6b2o4bobob2o$obob3o6b2ob2ob3obob5obobob2o3bo3bob3o
b3obo2b2o3bo$bob6o4b5o3bo2bo2bobo4b2obobo2bobo2bo4bo2b4o$o3bobobo2bo2b
ob2ob6o6bo9bobobobo2b3obob8o$3obo2bo4b8o2b2obo4bo2b2obo4bob4o4bobo2bo
bo3bo$b2o2bobo2bob2o3bo5bo3b3ob3o2b3obobob5obobob2ob3o2b2o$o5bob5o3b5o
b2o2bo3bob2ob3o2bobobo4bo5b4o3b2o$b2o3b2ob2o3bobo2b2o5bo2b3o2b2obob2o
5b2o3bobob3ob3o$4b2o4b2o2b2o2b4obo3b4ob4o3b2obob2o2b2o3b2o3bobob2o$o4b
3obob4obo3b2obobobo3bobobo2bobo2bob5o3bobob3o3bo$2b2ob3ob2obobobobo2b
2o3bobo3b2o6b2o4bobo3bo2b2o3bob2o$3obo6b2ob7o4b3obo3b3o2b3o2b2o2b3o2b
ob2ob2ob2obo$3b2obo3bob3ob3o4b2obo2bobo2bo3bobo4bobo2bo2bobo2b2o$5bo2b
2o2b3o2b4obo2bo3b6ob3obo3bob3o2bo4bo5b2o$3o3bo3b3ob2ob3o8bo3b6obob4ob
2o2b3o2b2obob4o$b3o4b2o4b2o2bob2o6b2ob3o2b3ob2ob3obo2bo3b3obo2b3o$5bo
b2obobobo2b2o4bo2b5o6bo3b5obo2bob3ob2o4b2o$2ob2obobo3b2o4bobo2bo3b2ob
5o3bo6b3ob3obobobo5bo$8ob2o2bo2bob2ob2o4bo2bo3b2ob2o2b2o2b3ob3o2bobo2b
obo$o2bobo3bob9o2b2o2b2obo4bo3b2obo2bo2bo2b4obob3o3bo$2ob3o2bo7b2obob
o2b3ob2o2b5o2bobo3bo2bo2b8o2bo$3bob2o2bob2obo3bob5o6bo3bo3b2obob2o2bo
bo2b5obo$2o4bo6bobo3bobob2obo2b3obo2b3obobo3b4ob2o4b4ob2o!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » January 29th, 2024, 5:41 pm

1, 3 loopable "rotating" tagalong:

Code: Select all

x = 30, y = 20, rule = B3-jknr4ckn5cy6e8/S2-i3-aky4eikqty5acq6cn7e
3o17b3o$2o18b2o$o19bo13$19b2o6b3o$20bo8bo$19b2o4bo2b2o$19b2o4bobo$25b3o!
______________________________________________________________________________
b-engine wrote:
January 29th, 2024, 3:50 am
This soup produces a clock:

Code: Select all

snip
Personally, i do not think this deserves a post, since a clock is approximately the 49th most common object in this rule.
some other stuff in this rule, so this section is not completely unnecessary:
p528 puffer at c/2o:

Code: Select all

x = 16, y = 16, rule = B3-y/S02-i3
obbbobbboboooobb$
obbbboobbobbbobo$
oooooobbbboboooo$
boobbbooobbbobbb$
obobbobbbboooooo$
oboooooboboobbob$
oobobbbobooobbbo$
ooobooobbbobobbb$
oobbooobbbobobbb$
booobobbbbbbbobb$
oobbobobbobbbobb$
oboobboboobobboo$
ooobbbboboobbbbb$
bobooobbbbobbobb$
ooobobboobooobbb$
bbbbobobbbobooob!
some orthogonal ships, 2c/4, c/3, 2c/7, c/4, c/5, 2c/12(natural)

Code: Select all

x = 115, y = 32, rule = B3-y/S02-i3
20b3o3b3o13bo7bo15bo18b3o23b2o$2b3o7b3o4bo2b2ob2o2bo11bob7obo13bobo16bo3bo23bo$bo2bo7bo2bo4bo2bobo2bo12b2ob2ob2ob2o11bob3obo42bo$5bo5bo32bobobo34bobobobo23b2o$o2b2obo3bob2o2bo23bo11bo12bobo14bo7bo19b2o2bo$3obo7bob3o23bo4b3o4bo9bo3bo3bo11b2obobob2o19b2o$2o5b3o5b2o28bobo14bob2ob2obo12bo5bo$b2o11b2o30bo15b2obobob2o11bo7bo$b2o4bobo4b2o44b2o9b2o7b3o7b3o$2bobo2bobo2bobo46b4o3b4o$61b2o7b2o14bo$62bo7bo9b2obobobobob2o$62b2o5b2o12b2obob2o$61bo2bo3bo2bo10b3o3b3o$82b2o5b2o$62b2o5b2o14bobo$59b2o2bo5bo2b2o11bobo$59b2o11b2o12bo$63b2o3b2o13bo5bo$66bo15bo3bo3bo$63b2o3b2o11b2o2bobo2b2o$63b2o3b2o10b2o2bo3bo2b2o$64bo3bo13b2o5b2o$64bo3bo13bob5obo$62bo7bo10b2ob5ob2o$82bo7bo$63b2o3b2o10b2o2bo3bo2b2o$64b2ob2o13b2o5b2o$62bo2bobo2bo13bo3bo$84bo3bo$61b2o7b2o12b2ob2o$83bobobobo!
P8 and P10, minimal transitions from life:

Code: Select all

x = 6, y = 15, rule = B3-y/S02-i3
bo$obo2bo$b2obo$b4o$4bo6$2o2b2o$o2bobo$4bo2$3bobo!

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snowman
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by snowman » January 31st, 2024, 7:17 pm

A glider can flip a still life in B3-r/S234n (explosive, 2TLV):

Code: Select all

x = 8, y = 8, rule = B3-r/S234n
bo$2bo3b2o$3o4bo$4b3o$3bo$4b3o$7bo$6b2o!
7c/54 diagonal LWSS rake in B34w6c/S2-n34n:

Code: Select all

x = 3, y = 4, rule = B34w6c/S2-n34n
2o$b2o$2o$o!

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confocaloid
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Joined: February 8th, 2022, 3:15 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » January 31st, 2024, 7:44 pm

snowman wrote:
January 31st, 2024, 7:17 pm
7c/54 diagonal LWSS rake in B34w6c/S2-n34n:

Code: Select all

x = 3, y = 4, rule = B34w6c/S2-n34n
2o$b2o$2o$o!
Spaceship:

Code: Select all

x = 266, y = 149, rule = B34w6c/S2-n34n
237b2o$237b2o$237b2o$240bo$239bo16$243b3o$227bo14bo2bo$225b2o10b2o6bo$
226b2o8bobo6bo$238bo3bobo4$205bobo$205b2o$206bo4$186bo$184b2o$185b2o5$
164bobo$164b2o$165bo64b3o$232bo$231bo2$145bo$143b2o$144b2o5$123bobo
124b3o$123b2o125bo2bo$124bo125bo$250bo$251bobo2$104bo$102b2o$103b2o$
224b2o$223bobo$225bo2$82bobo$82b2o$83bo4$63bo$61b2o$62b2o5$41bobo$41b
2o$42bo2$217b3o$219bo$22bo195bo$20b2o$21b2o234b3o$256bo2bo$259bo$259bo
$256bobo$3o$3o$4bo225b2o$5bo223b4o$3bobo222b2ob2o$2b2o225b2o5$36b2o
224b2o$35b2ob2o221b2ob2o$36b4o222bo2bo$37b2o223bo2bo$263b2o$215b3o$71b
2o142bo2bo$70b4o141bo$69b2ob2o141bo$70b2o144bobo5$104b2o$103b2ob2o$
104b4o$105b2o3$139b2o$138b4o$137b2ob2o$138b2o5$172b2o$171b2ob2o$172b4o
$173b2o3$207b2o$206b4o$205b2ob2o$206b2o$223bo$221b2obo$224b2o$225bo$
222b2o$222b4o$223b3o$224bo!
#C [[ TRACKLOOP 54 7/54 7/54 ]]
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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hotcrystal0
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Location: United States

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 » February 1st, 2024, 6:09 pm

This is Grounded Life, but with a little more Life physics:

Code: Select all

x = 92, y = 47, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100
b4o2bo2b3ob2o3bobo3b2ob2ob2obo2bob6o2bo4bob2ob3ob2o3b7o3b2obob5o3bobo
$2bo2b4o2bo6bob2o2bob2o2bob7ob2o2bo3bo6bo5b2o2b3ob2o3bobo4b4ob2o2bo$b
3obobo2bob2obo3b2o4b12ob2ob2o4bobobo3bo2bobobobob5obo2bobo3b2ob2obo2b
2o$o2b2ob2o2bobo2b3o4bob2o2b3o2bobo3b3o2bo2b5o3b4obo4bo2b4o2b2o8bobo4b
o$b2o7bo5bob2o2b3ob2o3bo3b2o7b4ob4o2b2obob2o2bobo2bo2bo2bo2bob3ob2ob2o
$ob4o3b5ob2o3bo2bo2bo6b2ob2obo4b3o5bo2b5o2b2ob4obobo5b5o5bo2bo$4bo2bo
2b2obobo7b2o2bobobob7ob4obobobo3b2obobobob2ob3o3bob4o2b2o2bo4b3o$o5bo
bo3b3o2b2obo2bo6b4obob2ob4ob2obobo3bobo2bo4b2o2b2ob2ob2o4bo2b2obo$4bo
b3o2b2obo3bobobobob3o3b3o3b2ob5o4bo2b2o2bob2ob2obo2bo2bob2ob4o7bobo$2b
4o2b6o2bo3b3obobob6o2b4ob2o3b2obo2b3o6bo4bobo2bo11b2ob2o2b2o$2bo2bobo
2b2o2bo2b3o4b3o4b10o2bo3b2obo3bobo2b3obo10bobob2o7b2o2bo$o3bo2bo5bo2b
2obo2b8o2b2o7bob4o2bo5bob3o2b5o2b2ob6o2bobob3o2bo$2bo2bobobo2b6o3b2o2b
2ob2o3bobob3o2b2obo3b4o3b3ob2ob3obo7bobob2o5bo3bo$2b2obob2o2b2o2b2o2b
2o3bo3b3o7b2ob4o5bob2obo3bobo2bo2b6o4b2o3b2obo4b2o$3b3o4bo2bob2o2b2ob
o2bo2b2o2bob3obobobob6o3b7obo2bo2b2o3bo2bo4b4obo3bobo$2obo3bo4bo2b2o2b
ob3obobobobob2obobobobob4obo2b2o3b6o3b3obob7obo2bobobo3bo$obobob2ob4o
4b2obo2bo5bob2o2bo4bo2bobobo3b4o2bob2o3bo2bobo2b3obo2b2ob7o2bo$2obo4b
o2bo4bo3b2o2b9obob2ob2o2b2o2bo4b3ob2o4b2ob3obo3b3ob4ob3o2bo$2o3b2ob3o
b2o2bob6ob3ob2o2bob2obo3b3ob5ob2ob4obobob3obobo2b5o2b3ob2o4bo$b4o2bo2b
obo3b2o3bob4o2bo2b3o3bobob3o5bo2b2o2bobobob2ob3o4bobobob4obo2b2ob2o$2o
4b3ob6obobo2bo2bobob2o2bo3bo2bo3b4o2b2obobo2bobobobo2b3obobob2ob3obob
o2bo2b2o$o3bobob2o2bobo3bobobobo3bo2b3o2bo4bo3bo2b3obo3b2ob2obo2b3o2b
obo2b3o3b2ob2o4bo$2ob4ob4o4b3ob2ob2obo8b2obo3bob2o4b2ob2ob2o4b8obob3o
b4o3bo3bobo$ob2ob2obo2bo3bo4bo4b2obob2obob4o2bobo3b2o3b2ob2obobob5obo
4b4o2b4o3b2obo$bo2b2ob2ob2o3b2o2bo2bob3o3bob2o5b3o2b6obob5ob2o6b3o2b2o
bob3o3b2obo2bobo$3b5o5b3ob2ob3obo2b2o3b2o2b5ob3o4bobobobo5b2o2b2ob2o3b
o2bobo4bob2ob2o$2obo2b6obo3bob3obob2ob5obob2obobo2b2o4bo2bo6bob4o2b3o
2b2o2bob2o3bo2bo2bo$o3bobo2bo3bob2obob7ob2o2b3o3b5obobobobob2obob3o4b
o3bob2obo3bo2bob3ob2ob3o$ob2obo4b2obo3bobob2o2bo2b2ob2o2b2o2bob2obo5b
6ob3obobo2bo2bob3ob2ob2obo3bobo$bob2ob4ob2ob3o3b2obo8bo3b3o2bob2ob5o2b
2ob6o2b2o2bobo3bob2obo3b4o2bo$2o3bo2bo3bobobob5o3bob3obo3b7o6bo3b2ob3o
b2obobobob3ob2o3bob2ob2o2bobobo$b4o5bo2bobo2b3ob3o2bob3obob3o3bob2o3b
3o2bo2bobobobob2o2b4obo5b5obo3b2o$2b5ob2o4b2o2bobob5ob2ob6o3b2o2b4obo
b2o2bo3b2obo2bo3b2o2b3o2bo2bobobo2b4o$ob5o2b2obobo3bo3bo2bo5bobobo2b3o
b4o2bo2bo6bob4o2b3ob7ob6obo2bo2bo$2b2obob2obobo3b2ob3ob2o4bo2bo3bob4o
bo3bobob2ob4o3bo2b2ob2o4b2o2bo2b3o3b5o$bobo2bo3bobob4ob2obo3bo6b2o2bo
b2o3b3o2b2ob4o2b3o2bobob2ob10obobo2bob3o$bo4b4o2bobo2b3obobob2o2b2ob4o
9bob2o4bob4o3b4o4bob3o3bo3b2o4bo2bo$bob4ob2o7b2ob2o2b4ob2ob3ob4o5bo2b
2o2b2ob4o2b2ob2obo3b4ob2obob2obobo4bo$b3o3b2obob2obobobo3bobobo3bob2o
4b2o2bo10bob2ob2o2b4o3b2o2bo2b2obobo2b2o2b2o$ob2ob2ob2o2b4obob3o6bo4b
o3b2o3b3o4bobob3obobo2b2ob3o2b2obo2b2obo6b2o$2b7ob2obo2bob4obo2bob3o3b
o2bob2obo2b4ob3ob3obo2bo3b2o2b2o4b2obo2bo2b2o3bobo$4o2bo2b2obo2bob2o3b
3ob2o3b5ob3ob3obobo2b5ob3ob2ob4o4b5obobobo3bobo$o2b2o8b2o2bo3bobob2o4b
o7b3o3bo3b2o5bobo2bo4bobo2b7ob5o4b2obo$2b3o4bo2b3o2bob3ob3o2bob3ob4o6b
4ob2o3bobobo2b2o2b2o3bob5obob6o2b2obo$2ob2ob5o2bo3bob2o4b2o2bob3o4bob
3ob3ob2ob5o3bob3ob4ob2o2bo3bo3b2o3bobobo$obobob3o2b2o3bo5b7obo3bo3b2o
8b2ob3o4bob3o2bobo2bob2ob2obo2bobob4o$obobo3b3o6b2o2b3o2b2o4b3o2b2ob2o
4bobobobob3o4b2ob2ob2ob8o2b2o3bobob3o!
Edit: expect LWSSes to be common as a wing evolves into one:

Code: Select all

x = NaN, y = 3333333333333333, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100
oobb$obob$obbo$boob$!

Code: Select all

x = 12, y = 8, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100
10b2o$10b2o3$b3o$5o$3ob2o$3b2o!
Edit 2: Extensible P4:

Code: Select all

x = 50, y = 22, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100
b2o15b2o$obo14bobo$obob2o11bobob2o$bobobo12bobobo$3bo16bo$2bo2bo13bo2b
o$2bo16bo27bo$2bo3bo2b2o8bo3bo2b2o13b2o2bo2bo$2bo3bobo2bo7bo3bobo2bo11b
o2bobo2bo$2bo16bo27bo$2bo2bo3b2o8bo2bo3b2o13b2o$3bo16bo26b2o$bobobo12b
obobo4bo14bo$obob2o11bobob2o3bo2bo2b2o7bo2bobo2bo$obo14bobo6bo2bobo2b
o6bo2bo2b2o$b2o15b2o7bo14bo$32b2o2$33bo$32bo2bo$32bo2bo$33bo!

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

CasperWen8805181
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 » February 1st, 2024, 9:20 pm

IMPORTANT!!!
Is this sexual reproduction? (kinda) See generations 300+

Code: Select all

x = 125, y = 24, rule = Evoloop
79.45B$78.BG.2AG.2AG.2AG.2AG.2AG.2AG.AD.AD.AG.AG.2AG.2AGB$78.BA28B.14B .B$78.BAB26.BDB12.BAB$78.B.B26.BAB12.BAB$78.BGB26.B.B12.BGB$.16B13.15B C32.BAB26.BGB12.B.B$B.2AG.2AG.2AG.2AGB11.BG.2AG.2AG.AD.AD.B31.BAB26.B AB12.BAB$BG14B.B11.BA14BAB31.B.B26.BAB12.BAB$BAB12.BAB11.BAB12.BGB31. BGB26.B.B12.BGB$BAB12.BAB11.B.B12.B.B31.BAB26.BGB12.B.B$B.B12.BGB11.B GB12.BAB31.BAB26.BAB12.BAB$BGB12.B.B11.BAB12.BGB31.B.B26.BAB12.BAB$BA B12.BAB11.BAB12.B.B31.BGB26.B.B12.BGB$BAB12.BAB11.B.B12.BAB31.BAB26.B GB12.B.B$B.B12.BGB11.BGB12.BAB31.BA14BC12.BA14BAB$BGB12.B.B11.BAB12.B GB31.B.G2A.G2A.GA.GA.DB11.BA.G2A.G2A.G2A.GAB$BAB12.BAB11.BAB12.B.B32. 16B13.16B$B.B12.BAB12.B13.BAB$BGB12.BGB26.BAB$BAB12.B.B26.BGB$B.14BA28B .B$BDA.DA.G2A.G2A.G2A.G2A.G2A.G2A.G2A.G2A.G2A.G2AB$.45B!
My Rules: Hash2F

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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » February 2nd, 2024, 3:05 am

(12,2)c/63 flamigoship:

Code: Select all

x = 3, y = 4, rule = B34t5ck/S23
o$2o$b2o$2o!
Edit:
P336 in a related rule 3 transitions away:

Code: Select all

x = 20, y = 20, rule = B34t5c6kn/S23
bo$3o12bo$13b2obo$13b2obo$18b2o$14bo4bo$14bo3b2o$16b2o$7b2o$8bo$6b3o9$
11b3o!
(6,1)c/46 flamigoship (again):

Code: Select all

x = 7, y = 9, rule = B34z6kn7e/S234q6n
b2o$o2bo$b2o4$4b2o$5b2o$5bo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
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hotcrystal0
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 » February 2nd, 2024, 6:10 pm

hotcrystal0 wrote:
February 1st, 2024, 6:09 pm
This is Grounded Life, but with a little more Life physics:

Code: Select all

snip
Sidecar, Coe ship, and an unnamed P16 ship work as normal(despite the coe ship’s sparks, surprisingly), but the 10c/20 in my signature becomes a P20 blinker puffer:

Code: Select all

x = 13, y = 58, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100
7b2o$5b2ob2o$5b4o$6b2o$6bo$4bo3bo$2obo5bo$2b2o5bo$4b6o3$6bo2bo$5bo4bo
$5b2o3bo$7b4o6$5b4o$4b6o$4b4ob2o$8b2o3$3bo7bo$12bo$12bo$3b10o3$5b4o$4b
6o$4b4ob2o$8b2o6$5b4o$4b6o$4b4ob2o$8b2o3$8b2o$4bo6bo$3bo8bo$3bo8bo$4b
9o3$5b4o$4b6o$4b4ob2o$8b2o!
Edit: useless diehard lasting 311 generations:

Code: Select all

x = 31, y = 11, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100
31o$o29bo$ob27obo$obobobobobobobobobobobobobobobo$obobobobobobobobobo
bobobobobobo$obobobobobobobobobobobobobobobo$obobobobobobobobobobobob
obobobo$obobobobobobobobobobobobobobobo$ob27obo$o29bo$31o!

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » February 5th, 2024, 2:21 am

I rulegolfed Life to make loaf functions as eater 3 on it's own, then I get this:

Code: Select all

x = 11, y = 11, rule = B3-c4c/S234w
2bo$bobo$o2bo$b2o$4b2o$4b2o3$8b3o$8bo$9bo!
Also got this weird p7, only having 1 more cell than burloaferimeter:

Code: Select all

x = 12, y = 12, rule = B3-c4c/S234w
2bo$bobo2b2o$o2bo3bo2bo$b2o4bobobo$4b2obo2bo$4bo2bo$bo4bo$b5o2$3bo$2b
obo$3bo!
(suggestion: pin this thread)

EDIT:
7c/16:

Code: Select all

x = 16, y = 6, rule = B2ei3eij/S2-n3in
3bo8bo$b2o10b2o$bo12bo$o14bo$bo12bo$b2o10b2o!

Code: Select all

x = 4, y = 5, rule = B2ei3eijk/S2-n3in
bo$obo$3bo$3bo$2b2o!
Puffer:

Code: Select all

x = 5, y = 5, rule = B2ei3eijk/S2-n3in
bo$o$2b3o$2bobo$2b3o!
EDIT 2:
Failed 6c/12 replicator:

Code: Select all

x = 5, y = 4, rule = B2ei3eijk/S2-n3in4y
o3bo$2ob2o$obobo$b3o!
EDIT 3:
35c/144:

Code: Select all

x = 3, y = 4, rule = B2i3-kqy4cer5k6in7c/S2-i3-acky4cinqrz5cek6cn
o$2o$b2o$2o!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » February 6th, 2024, 8:54 am

counter, except there's 0, 1 and 2 blinkers sometimes. what exact growth rate is this?

Code: Select all

x = 16, y = 16, rule = B3-ekqr4i5eq6n8/S23-aeny4cikqr5ek6ace7c8
3bo2b5o2bobo$b2obob3obo2bo$b2ob2o2b2obo2b2o$3b2ob2ob3o$bobo6bob3o$ob2o
b4o4bo$obo2b6o4bo$bob2ob2obo3b2o$bobob4obobo2bo$3ob4obo2b2o$2bo5bo2bob
3o$b5obob2o4bo$b4obobobob2obo$5b2o3bob2o$o2bo2b2ob3o2b2o$o3b2o2b4ob3o!

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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » February 6th, 2024, 9:25 am

P14 3c/6 gun:

Code: Select all

x = 6, y = 11, rule = B3ai/S234i5
4bo$3bobo$4bo3$6o3$4bo$3bobo$4bo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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hotcrystal0
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 » February 6th, 2024, 10:41 pm

When zoomed out enough, this rule is nigh-indistinguishable from Life.

Code: Select all

#C [[ ZOOM -1.2 AUTOSTART ]]
x = 139, y = 85, rule = B2cek3ac4ei/S12a456
4b3obo3b3obo2bo3bob3o3b3ob8o5b5ob3o2b2o2bob3o2bob2obo2bobobo2b2obobob
ob2obo2bo3bo3b2o3bo2b3obobobob3obo3bob2o$4obob2o2bo2b3o2bo2bo6b2obobo
bo2b3ob2obo2bob2obo2b2obo2bo2bobob2obo2bo2b4obo7bo2bob3o3b3ob4o2bob4o
b6o4bob2ob2obo$b2ob7o3b2o3b3o2bo3bobob4obo2b4o4b2o2bobo9b2o3bo2b4ob3o
4b3o6b3ob2o3bo3b3o2b2o2b4o3b2ob4o2b3obobo$o3bo3bobob2obobobobo2bob2ob
2o2bo2bob2o2bobobobo2b2o4b3ob2ob2o3bo2bo3b5o3bo2b2o2b2o2b3o2b6o2b2o2b
obo3b2ob2o2bo3bo2b2ob2obo$2bobo3bo2bo3bo3b3o4bobo2bo2bo2bo2bob2o3b2o4b
3o7bo2bo2b4o3b2ob3ob9o2b5o2b5obo2b4obo2bobobob2ob3ob2ob4o$b2obo4b2obo
2bo2bo3bobob8o2b4o2b2o2bob3o3bo3bo3bob2o5b2ob3o4b3obo3bo2bob4ob3obo2b
3o3bo2b4o3bobob2o2b3obo2bo$2ob2ob2o2bob5o2b2ob3o3bob2o3b4obobo2b3o2bo
3b2o2b2obo2b8o2bob2obo3b2o2b4o11bo2bobo2bobobobobo4b3obo3bob3o2bo$4ob
o5b4o7b2ob3ob2o3b2o7bobobo2bo3bo3b2ob5obo2bob2o3b2ob2o3b3o2b4o2b3o5bo
bob2o4bobo4bob2o3b3o2b3o2bo$bo5b2obobob3ob2obobobobob2o2b2o6b2ob5o2bo
3b2obob2o4bob3obobo3b2o2b2ob4obo6bobob2o2b4obo3b3o3b2ob2ob5o2b2o$2b2o
bob2o7bob2ob2o3b4o2b2obobobob2o2bo7bobob3ob2o2bob2obob2o2bobob4o3bob3o
b2o4b5ob5o2bo2b2o2b3ob2ob8o2b3o$3o2bo4bobob2o2b2o6bob2ob2obo5bob2o3b5o
bobobo3bo2bo2bo2bo4bob2o2b3o3bobo2bob3obobo2b4o2bobobo4b2o2bobo2bo2b2o
$3o4bo5b2o2bo2bo2b4ob3o2bo2bob2obob2ob2o6bob3o2b2o3bo4b4ob2ob8o4b2o7b
ob6o3bo2bob3ob5ob2o2b6ob2o$4o4bo3bob5o3bob2o2bo2b2ob2o2bo5bob2o2b2o3b
2o4b2o2bo2bo2b5obobob5ob2ob5obo3bo2b2o2bo3bobo2b4o3bob3obob4obo$ob2o5b
3o4b2o2b3o6bo2b4o3b4o2b2obobo2bob2obo2b2obob6o2bo4b4o2bob3ob2o3bo2b5o
3b3o2b3o3bo5b2obo2b3o2b4o$2b3obobob6ob7o2bo2bo3b3ob4obo3b2ob2ob2ob2ob
o4bo3b2ob2o2bo5bo2bobo2bo2b2o2bo2b2ob2obo2b3ob2obo3b2ob2ob2o3b2ob3ob3o
$bob2o2b3o5bo2bo2bo5bobo2bo2bo2b5o3b2obo4bobobo2b2o2bobobo2bo4b3ob2o2b
o2b2ob4obo2bo3b2obob3o2bob2o3b2o3bo3b2obobo$bob2o2bo2bob2o3bo3b2o2bo2b
ob5ob5obo3b3obo4b2ob2o6bo3b3o2b2obo3bo4b4obo3bobobobo2bo3bo4b4obobobo
3bo8b3o$3obo5b4o2bob2o2b2o2bo3bo4bobob4obob2o5b6obob2ob2o3b2obob2ob2o
5bobo4b2obob2o6b2obo2b2o3bo2bob2ob2ob2o4bo4bo$ob2ob3o2bobo2b4obo4b2o2b
obo2bob4obob2o2bo2b2obob2obo6b2o5bobo5bobo2b2ob2obo2b2ob3obob4o4b2o3b
3o3b2obo2b2o2bo2b4o$bobobo7b2o4bo2bo3bo3bob2o4b5obo3b2o4bobo4bobob3o5b
ob2obob6o3b3o2bob4o5bo3bo2b3o2b2o2bo3b2obob3ob2o$3ob2obobob2o3b2ob3o2b
3o3bo2b2obo3b3obob2o2b2o2bobob3obo2bo2bobo3b2ob2o6bobobo4b4o3b4o3b3ob
5o2b2ob2o2bobobobo4b2o$bobo2bobobob6o2bo4b3obo4b3obobo3b2ob9obobo3bob
2obo4b4o2bob5o2b2ob2o2bo2b2o2b2obob2o2b2ob5ob4ob4o2b2obob2o$bobob2o3b
o2bobobob5o2b2ob2o4b3o2b3obo2bo2b2ob3o3b2ob2o3bobo3bobob2ob2o3b3obob2o
bob3o3b2o4b5obob3o3bo2b3obob2o4bo$4bobob2ob2o2bob3o2bobob3o2bob2obob2o
2bo5b3o3b2obobo2b4obobob3obo2bobo5bo3b2ob3ob2obobo4bo2b2o2b8o4bobob7o
$2bob2ob2o2bo7b2o2bobob7o3bo2b5ob2ob3obob4o5b2o2bobo3b2obo2b2obo3b3o2b
obobo4bo2bobob2o3bo2bo4bob3obo2b2o3b2obo$b3ob2obo4b2obobob2o4b2o2b2ob
o2bobobobobob6obo2b2o2bo2b3o3b3o2b2o3bo3b2o3bob3ob3ob2o2b5o2b5ob2obo2b
3o2bo3bo2bo2bo$2obobob3o2bobo2b4o2b2obo2b2o2b3o5b2obo2b4obo3b2ob2o3bo
4bo3b4o3bo3b4obo3b7ob2ob3o2bob5ob6obo3bobo2bo3bo$bo3bo3b5o2bo3b3o4b2o
b3o3b2o2bobo4b8obo2b7obobobob3o2b2o4b2ob3o3b5o2b2o2b2obobobobobobob3o
2bobob2obob4o$bo2bo4b2ob2obobob3ob2obo2b2obob2o4bo2b2obobob3o2bo2bo4b
3obo2b8o2bo6b2ob4obo2b2o2bobobo3bo2bo3b6ob5ob2o4bobo$2b3o4b2ob3o3b2ob
ob2obo3bo2b2o2bo2b2ob3obo3bo2b3obob2o4bo2bo2b3obo3b2obobob6o2b2o2bob2o
bob2o2bo2bobob2ob5ob2ob3obobobo$b3o2bo4bo2bob2obobob5o2bo2bo3bo2bob2o
3b2obo2bo2b2o3b2ob2obo2b2ob5o3b3obob2o2b4o2b3o5bob2ob4o5bobo4bo2bo8bo
$obo2bo4bo2bob3obobo8bob2o2b2o2bo2b3o3bo2b4o2bob2obob4obo2bob2o2b2ob3o
b4obobo6bobobo2bob3o2b4obobob2o2b2o2b2o$bobo2b4ob2ob7o3b3obo2bobob5ob
5ob2ob2o6b2ob4obobob2ob3o3b3o2bobob2o2bo2bo3b2o2bo9b3obobob2o3b4o$3o3b
obo4bob2ob2ob4ob2o2b2obo3bo3bobo2b2obobo5bo4bob2obob3o2b3o2bobo4b2o2b
o6bob2ob3obo2b2ob3o2bobo3b3o2b2ob3o3bo$2ob3o4bo2bo2bobo3bobo3b3o3b6o3b
7ob2ob2ob2o5bob3obobo2b5o5bob5o3bobo2b6ob2ob3obob2obob3o2b2ob2o2bo2b3o
$4ob4ob2ob3ob5obobobobobobo2b3o2b2ob2o2b2ob3ob6o2bob2obobobob2o3bob2o
3bo3b6ob4o5bob2o2b2obo2bo5b3o3b2o4b3o$2obo2bo2b5o3b2o3b6ob2ob2o2bo3bo
b2ob3obob2o2bob2o3b2ob3o6bobob2o2bo9b2o3b2o6bob5o3bo3b2ob2obo3bo3b2o2b
o$o2bob2o2bo3bo2bo5b2obo2b2o4b2o2bo2b2o6b5ob6obob3o2b2o3bobo2bob4o2b4o
bo2b6o2b2o9b4obo2bo6bo2bob2o$3bo7b2ob3obobo2bo2b7obobob2ob2ob2obo2b4o
2b2o2bob2obo2b2o3b2o5bob4o2b3o2bobobobo2bobo3b2ob2o3b2o3b4ob2ob2ob2o2b
o$o3bo2b4o2b2o2bobo2b5ob4obo5bo2b2o3b2o6bob2o3bo4b5o2bob2ob5o2bob2o4b
o2b2obob2o4bob4o4bobobo3bobo4b2o$2b2o2b3ob2o3bo6b2o2b5o3bob3o2b2obob3o
b2o3b4obo2bobobo3bo2b2o3b4o3bo2b3obo3bo7b2o2bo2b2o3b3o2b2o3b2o3bo$4o2b
ob3o2b2o2b3o4b2obo2bo2b3o2bobo3b3o2bobo6b2obob4o2bo3b4o4b2o3bobobobo2b
o2bo2b2obo3b2obob4o4bo2bobo2bo2b2ob3o$2bo4b2o3bo2bobob2o2bo2b6obo2b3o
bo6bo2b3ob2o3bobo6bob2obo2bo7b2o5b2o2bo4bob2ob4obo3b2o6b2o4bo2b4o$b2o
2b3obob2ob2o3b3ob2ob3o4bobo2bo6b2ob3obo2b5o2b2obob4o2bo3b4ob2ob3obobo
2bobo3b2obob2ob3o2b2obob3obo3b4ob3o4bo$3b3o3bo9bo4b2o3b4o3bobobobobob
2o2bob3obo4b2obobo3b2o5bob7o3b7o2b5o2b2o2b4o3b2o2b5o2bobo2bobobo$2bob
o4b2obo2b6ob3o4bo2b3o6b2o2b3obobobobo2b7o6bo3b4o2bobo4bo4bob2obob5ob2o
3b2o2bo8b2obo2b4o4bo$obob3obobo4b2o2b2o4bobobob3obo3b3ob2o2b2o5b2o2bo
6bobobob2ob4obobo3bo4b2ob6ob4ob2ob4ob2ob7o2b2o2bob4o2bo$bobo2bo3b2o4b
o3bobobob2o3b4o2b2ob2obobo2bobobobo2b2obobobo2b5ob2obobob5o5bo2b4ob2o
2b6obob3o2b3obobobobobo2b2obobobo$o2bob3obo3b4ob2ob5obob2obob3obo2b3o
bo4bo3bobob4obo4bobo2bo2bo3b3obo3b2o3b3o2b2o2b3ob2ob5obo2bo3bo2bobo2b
2o2bob2o$b2obo2b2ob3o3bo2b2obo2b2obobob2ob5obob2obob6ob3o3bo5bob5o4bo
b2obobo5b6o3b3ob2obob3o4bo3b2o2b2obobob2obobobo$ob3obobo4b4ob2o3b3o2b
3o2b2o2bo4bo5b7o3bob2o2b5ob6o2bob2obob2o3b4o5bo4bob2ob3ob3o3bo2b3o2b2o
2bo2b5o$3ob2ob2ob7o2b2o2b2o3bob4obobo2b6o3b3o5bo2bob3ob3ob2ob2o5b5o4b
2o2bo4b4obo2b2o2bo2bo2bo6b3o3bob2obob2o$o2b2o2b4o2b2o3b8obo2b4o2b3o3b
4o2bo4bo2bobobob2o2b3o6b2o4bo2bo3b2o2b2o2b2o3b2o2b2ob6ob2o4bo3bo3b2ob
5obo$4o2bo2b2obo2bo2b2o3b2o3b2obob3o4bo2bobob3ob2o4b2o2b4obob4o3b2obo
bobob2ob4obo2bob2o7b4obob2o2bo6bo2b3o3bobo$o2b3o10bobob8obobob2obo3b2o
2bob2obo2b3o2bobob4ob2ob2o2b9obo2b4ob2o2b4ob2ob5ob2ob3o2bo7b2o2b2obo2b
2obo$bobobob6o2bo2b4ob2obo3b2ob3ob2obo2bob2obobo4bob2o2bo3b4ob2o3bo2b
o2b2o2bobobo3b3ob2ob4ob2obo3bobobobob3o3b2ob4o2b3o$ob2ob3o4b3o2b3o4b3o
3b7o2bo2bobo3bo3bo4bo2bobob3o3bobobo7bob2o2bo2bo3b3ob3o2bo2b3obobobob
2ob2o4bo4b7o$3ob6obo9b2o3b2o3bob2obo3bo2bo3b3ob2o4bo3b3obobob2o3bo4bo
2b2o4bo3bob3ob3obo4bo2bo4b2obobo4bo3bo2bo2b2o$4b3o2b2ob6obobob2o2b4o2b
6o2b2o2b4o4bo3b2ob3o2b2obobo7b3obobobob2obo2bo4b2obo2b2ob3o2bo3bo2b6o
bo5bo2bo$2o4bo3b2o5bob2o2bobob3o3bo4b6o2bobo3bob2ob2o2bobo5bob4obo3bo
b2o4b2ob4o2bob3o6b3ob2o2bo3b3obobo2bo2b7o$o3b2o5b2obobobo3bobo2bobo2b
2ob2o2bo2bo3bobo3b3ob9o3b2o5b3obobo2bobo3b2o7b2o3bob2o2b5ob2obo2bo3bo
bobo2b6o$o3bobobob3o2bob5o3b2obo3bob6ob2o2b4o2bob2obobobob3o4b2ob3ob2o
2b5obob4obobo2b2o4bo2bo7b2obo2bobobo3b3o5bo$2bo4b2o2bob2ob6ob2o3bo3bo
2bobob2ob2o3b4obob4obob2o4b2ob2obo4b3o6bo2b2o4bo2b2o3bo5b2ob5ob2o2b4o
2b2o2b6o$2obobo3bo2bobo2b2o3bo2b4ob2o3bobob3o3b2o3b2o2b4ob2obo2bo2bo2b
o2b6o4bo4b2o3b4o3b3ob2ob2o3b3o4b3o7bo3b5o$bo2bo3b6obobo3b2ob2o2b2ob3o
bobo2bo2b5ob2o2bob2o3b2o2bobob3o2bo4bob2obo2b3o2bo3bobo3b2o2b5obo5bob
o9b2obo5bo$3b3o2b5ob5ob3o2b2o3b2obo2bob5o2bo2bobobo2bob2obo4b5o5b4o2b
o2b5o2bo2bob3ob3o3b2ob2obob3o2b2obo2b2o4bo2bob2o$b3obo5bo2bo2b3obo3bo
3bobo2b2o3b2o5b2o2b2o5b2o4bobobobobob2o2b3obo2b2o2bo2b5obo3b2o2bo2b2o
2bob4o3bob5obo3bo2bo$2bob2o3bob2o2bob3ob3o3b2ob2obo2b2o4b5o2b6o2bobob
2ob7o2b4ob5o2b3o3bo2b4o2bob2o5b3o2bobo3bo2b2o2b4o3b4o$2o4b4ob5obob3ob
2o4bo5bobo6b3obob3o2b3o2b6ob2o2bo2b4ob2o2b9o3b2o2b2o2b2obo2b6o2b9o2bo
b4o$bobo2b2obo2b2o6b2ob5o6bob4obo2b2ob2ob2o2b2o2bo2b3o5b2obo2bob2o2b2o
b2o3bo2bo2bob2obo5b3obo3bobob4o2b3obobobob4o$3o3bo3b5obo2b3ob4o2b5o2b
4o3b2obo2b6o5b2o6b2obo3b3o5bo2bo2b3o7bo7b2o2b2o3bob2o2bob3obob2o2bo3b
o$o2bob2o3bo3bo2b3o2bobo2bob2ob2ob2o3b2obo3b3ob2o2bo6bo2bobo3bo5bo2b6o
6b2o4bo5bo2bo2b3obo2bo2bob2o5bobo3b3o$bo2bo2b5obo4b2o3bo2b3o2bobo2bob
o2b3o3b2o3bobob2o2bo3b3o3b4o2bob2obob3o3bobobo4b2ob2o5bob5obo5bo2bo2b
3obob2o$ob2obob2ob2o3b2o3bobobo2b3ob6obob2obo2b2o2b2o5bobo2bobobob2ob
3ob2obo2b4o2b8ob2o3b3obo2bo2b4ob2ob4o2b6obo2bob2o$obob2ob2obob2obob2o
bo2b2o2b7o2bo2b2ob3obob2o2b2o3bobobob4o2bo4b2ob3obob2ob2o6bob3obo2b4o
2b6o2b2o4b4o4bo2bobo$2ob5o2bo3bob3obobo2b3obob2obo2b2obo4b2obob2o2bo2b
2ob2ob2o3b2ob2o2bo2bo2bob2obo3bo4b2obobobobo2bo2bo3bob2ob5ob3obob2obo
b2o$2o2bo2b2o2bo2b3o8bo6bobo2bo2bo2bobob2o2b3obo2b3obob5obobob2o2bobo
2bobob4o2b2o2b4obobo2bob3ob2o4bobo2bobobobo2bo$b4ob2o2b3o3b3obo3b3obo
4b3ob2o3bo2b4o5b2ob2ob2o3b3o3b2obob2obobo5bo2bobo2b2o2bo3bob3o2bobo2b
2o2b2ob2obo2b3o3b2o2bo$3o2b2o3bob5o4b3obo3bob5o2b2o4b2obobobo3b2obobo
2b3o4bobo3bobob5ob3obobob3obobobo2bo3b4ob6ob3o2bo2b3o2b2obo$bo2b6o4bo
3b2o3bo3b2o5bobo2bobob4o3bob2o2bobob3obobo2b3ob2o2bobobo2bob2ob4o10b2o
bobob2ob3o2bobo2b3o2b6o2bobo$ob3o2bo2b2ob3o2b2ob2o2b2ob2obo2bobo3b5ob
2o2bob3ob3o2bobo2bobo2bobo2b2ob3o4b2obo2bo3b4ob2obob3o2b2ob2ob3o5b2o5b
4o$bobobob5obob2obobob2obob2ob2obo3bo3bobo2b2o2bob2o2bo2b6obo2b3o3bob
3ob5ob2ob3o3bobo7b2ob2ob4o2bo2bobob2obo2bo3b3o$2b3o4bobobo2b2obobobob
2o4bo2b3obob3o3bobo2b3o4bob2obo2bo3bo2bo2b3o2bobob11obo4b2o3bobo2b2ob
4o5b2o2bo7bo$3bob2o2bob8o2b2ob2obobo2bobo2bo3b4ob2ob2o4b3ob2o3bo2bobo
b3ob2ob2obobob3ob4ob2o3b2ob2o2b5ob6o4bob2o3bobo$3o2b2ob3o3b2o4b2o2b2o
b6o2b2o2b5obobobob2o2bo4bo4bob7ob6ob2o3bobo2b6o2b2obo2b5o4b2obo2b4o2b
6o2bobo!
Edit: P6

Code: Select all

x = 5, y = 9, rule = B2cek3ac4ei/S12a456
o3bo$2bo$2bo$bobo$bobo$bobo$2bo$2bo$o3bo!

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

FWCamelship
Posts: 24
Joined: April 7th, 2021, 3:35 am
Location: on the Internet

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWCamelship » February 8th, 2024, 4:16 am

Not sure if this is the correct thread.

The classical proof of the non-existence of invincible spaceships is to pit two of them against each other. However, this is not necessarily strict - say, our theoretical spaceship can pass through each other harmlessly when colliding with itself, thus keeping its invincible property.

This is a 7-state rule (mostly made by GUYTU6J) in which a two-cell photon can be left unharmed and without delay when colliding with itself, except for one possibility where it's impossible without breaking the symmmetry. This doesn't disprove the possibility of an invincible spaceship; it only rules out an invincible 2-cell photon in an isotropic rule.

This might not be (and likely isn't) the most effective approach of trying to construct a rule that would support invincible spaceships.

Code: Select all

@RULE PiotrsAnts
@TABLE

n_states:7
neighborhood:Moore
symmetries:rotate4reflect

var all={0,1,2,3,4,5,6}
var all2={0,1,2,3,4,5,6}
var all3={0,1,2,3,4,5,6}
var all4={0,1,2,3,4,5,6}
var all5={0,1,2,3,4,5,6}
var all6={0,1,2,3,4,5,6}
var all7={0,1,2,3,4,5,6}
var all8={0,1,2,3,4,5,6}
var qwq={0,4}
var qwq2={0,4}
var qaq={0,2}
var qaq2={0,2}
0,1,0,0,0,1,0,0,0,6
0,1,qwq,qaq,all,all2,all3,qaq2,qwq2,1
0,4,0,0,0,0,0,0,0,1
0,1,0,1,0,0,0,0,0,3
0,3,2,0,0,0,0,0,0,1
0,1,1,0,0,0,0,0,0,4
0,5,5,0,0,0,0,0,0,1
0,2,1,1,0,0,0,0,0,1
1,1,0,2,0,0,0,0,0,1
1,1,0,0,0,2,0,0,0,1
1,2,1,0,0,0,0,0,0,5
2,1,0,1,0,0,0,0,0,5
2,6,0,0,0,0,0,0,0,1
3,1,0,1,0,0,0,0,0,0
3,2,0,2,0,0,0,0,0,3
1,all,all2,all3,all4,all5,all6,all7,all8,2
2,all,all2,all3,all4,all5,all6,all7,all8,0
3,all,all2,all3,all4,all5,all6,all7,all8,2
4,all,all2,all3,all4,all5,all6,all7,all8,2
5,all,all2,all3,all4,all5,all6,all7,all8,2
6,all,all2,all3,all4,all5,all6,all7,all8,2

@COLORS
1    0    0  255
2  255    0    0
3    0  255    0
4  255  255    0
5  255    0  255
6  255  255  255

Code: Select all

x = 66, y = 79, rule = PiotrsAnts
57.A$46.A10.B$36.A9.B$BA10.BA9.BC11.CA9.BA10.BA$14.A9.B$3.A10.B$3.B4$
58.A$47.A10.B$37.D9.B$BA10.BA9.B2A10.BA9.BA10.BA$15.A9.B$4.A10.B$4.B
4$59.A$48.A10.B$38.A9.E10.B$BA10.BA9.BA.A9.BAB8.BE10.BA$16.A9.B$5.A
10.B$5.B3$60.A$49.A10.B$39.A9.B$BA10.BA9.BA2.A8.BA.B7.BA10.BA$17.A9.B
$6.A10.B$6.B8$BA.AB7.BFB7.AFA10.AB.BA6$36.2D10.2B$BA2.AB6.B2AB7.2A10.
A2BA7.AB2.BA6.AB4.BA$36.2D10.2B10$BA10.BA9.BA13.BA$3.AB8.AB7.AB11.AB
10$20.B5.B$21.B3.B$BA10.BA8.B.B$4.AB8.AB7.B$22.B.B$21.B3.B$20.B5.B!
@RULE PiotrsAnts
@TABLE

n_states:7
neighborhood:Moore
symmetries:rotate4reflect

var all={0,1,2,3,4,5,6}
var all2={0,1,2,3,4,5,6}
var all3={0,1,2,3,4,5,6}
var all4={0,1,2,3,4,5,6}
var all5={0,1,2,3,4,5,6}
var all6={0,1,2,3,4,5,6}
var all7={0,1,2,3,4,5,6}
var all8={0,1,2,3,4,5,6}
var qwq={0,4}
var qwq2={0,4}
var qaq={0,2}
var qaq2={0,2}
0,1,0,0,0,1,0,0,0,6
0,1,qwq,qaq,all,all2,all3,qaq2,qwq2,1
0,4,0,0,0,0,0,0,0,1
0,1,0,1,0,0,0,0,0,3
0,3,2,0,0,0,0,0,0,1
0,1,1,0,0,0,0,0,0,4
0,5,5,0,0,0,0,0,0,1
0,2,1,1,0,0,0,0,0,1
1,1,0,2,0,0,0,0,0,1
1,1,0,0,0,2,0,0,0,1
1,2,1,0,0,0,0,0,0,5
2,1,0,1,0,0,0,0,0,5
2,6,0,0,0,0,0,0,0,1
3,1,0,1,0,0,0,0,0,0
3,2,0,2,0,0,0,0,0,3
1,all,all2,all3,all4,all5,all6,all7,all8,2
2,all,all2,all3,all4,all5,all6,all7,all8,0
3,all,all2,all3,all4,all5,all6,all7,all8,2
4,all,all2,all3,all4,all5,all6,all7,all8,2
5,all,all2,all3,all4,all5,all6,all7,all8,2
6,all,all2,all3,all4,all5,all6,all7,all8,2

@COLORS
1    0    0  255
2  255    0    0
3    0  255    0
4  255  255    0
5  255    0  255
6  255  255  255
I'm still here, in this damp and gloomy place that nobody pays attention to,
Singing songs with the sound of rain, but no one is there to listen;
The crowds are still dispersing aimlessly towards their destinations,
Busy, idle, and continuing on.

FWCamelship
Posts: 24
Joined: April 7th, 2021, 3:35 am
Location: on the Internet

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWCamelship » February 9th, 2024, 9:36 am

FWCamelship wrote:
February 8th, 2024, 4:16 am
Not sure if this is the correct thread.

The classical proof of the non-existence of invincible spaceships is to pit two of them against each other. However, this is not necessarily strict - say, our theoretical spaceship can pass through each other harmlessly when colliding with itself, thus keeping its invincible property.

This is a 7-state rule (mostly made by GUYTU6J) in which a two-cell photon can be left unharmed and without delay when colliding with itself, except for one possibility where it's impossible without breaking the symmmetry. This doesn't disprove the possibility of an invincible spaceship; it only rules out an invincible 2-cell photon in an isotropic rule.

This might not be (and likely isn't) the most effective approach of trying to construct a rule that would support invincible spaceships.
There exists a 7-state rule where two colliding three-cell photon will pass through each other in all orientations.

Code: Select all

@RULE WirelessCrossover
@TABLE

n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var a2={0,1,2,3,4,5,6}
var a3={0,1,2,3,4,5,6}
var a4={0,1,2,3,4,5,6}
var a5={0,1,2,3,4,5,6}
var a6={0,1,2,3,4,5,6}
var a7={0,1,2,3,4,5,6}
var a8={0,1,2,3,4,5,6}
var b={1,2}
var c={0,1,3}

1, 2, 0, 0, 0, b, 0, 0, 0,1
3, 1, 0, 0, 0, 0, 0, 0, 0,1
0, 4, c, 0, 0, 0, 0, 0, 0,1
0, 5, 2, 0, 0, 0, 0, 0, 0,1
0, 4, 3, 0, 0, 0, 0, 0, 4,1
0, 6, 2, 0, 0, 0, 0, 0, 0,1
1, 2, 1, 0, 0, 2, 0, 0, 3,3
0, 1, 1, 2, 3, 0, 0, 0, 0,4
0, 1, 2, 3, 0, 0, 0, 0, 0,4
0, 1, 1, 0, 0, 0, 0, 0, 0,4
1, 1, 0, 2, 0, 0, 0, 0, 0,4
3, 1, 0, 2, 0, 0, 0, 0, 0,4
0, 1, 0, 1, 0, 0, 0, 0, 0,5
5, 2, 0, 2, 0, 0, 0, 0, 0,5
2, 1, 0, 1, 0, 3, 0, 0, 0,6
0, a, 0, 1, 0,a2,a3,a4,a5,1
1, a,a2,a3,a4,a5,a6,a7,a8,2
2, a,a2,a3,a4,a5,a6,a7,a8,3
3, a,a2,a3,a4,a5,a6,a7,a8,0
4, a,a2,a3,a4,a5,a6,a7,a8,2
5, a,a2,a3,a4,a5,a6,a7,a8,3
6, a,a2,a3,a4,a5,a6,a7,a8,2

@COLORS
1    0    0  255
2  255    0    0
3    0  255    0
4  255  255    0
5  255    0  255
6  255  255  255

Code: Select all

x = 30, y = 56, rule = WirelessCrossover
CBA17.CBA3.ABC3$5.A$5.B$5.C5$CBA17.CBA4.ABC3$6.A$6.B$6.C5$CBA17.CBA$
26.ABC2$7.A$7.B$7.C5$CBA17.CBA$27.ABC2$8.A$8.B$8.C5$CBA17.CBA2$26.ABC
$9.A$9.B$9.C5$CBA17.CBA2$27.ABC$10.A$10.B$10.C!
@RULE WirelessCrossover
@TABLE

n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var a2={0,1,2,3,4,5,6}
var a3={0,1,2,3,4,5,6}
var a4={0,1,2,3,4,5,6}
var a5={0,1,2,3,4,5,6}
var a6={0,1,2,3,4,5,6}
var a7={0,1,2,3,4,5,6}
var a8={0,1,2,3,4,5,6}
var b={1,2}
var c={0,1,3}

1, 2, 0, 0, 0, b, 0, 0, 0,1
3, 1, 0, 0, 0, 0, 0, 0, 0,1
0, 4, c, 0, 0, 0, 0, 0, 0,1
0, 5, 2, 0, 0, 0, 0, 0, 0,1
0, 4, 3, 0, 0, 0, 0, 0, 4,1
0, 6, 2, 0, 0, 0, 0, 0, 0,1
1, 2, 1, 0, 0, 2, 0, 0, 3,3
0, 1, 1, 2, 3, 0, 0, 0, 0,4
0, 1, 2, 3, 0, 0, 0, 0, 0,4
0, 1, 1, 0, 0, 0, 0, 0, 0,4
1, 1, 0, 2, 0, 0, 0, 0, 0,4
3, 1, 0, 2, 0, 0, 0, 0, 0,4
0, 1, 0, 1, 0, 0, 0, 0, 0,5
5, 2, 0, 2, 0, 0, 0, 0, 0,5
2, 1, 0, 1, 0, 3, 0, 0, 0,6
0, a, 0, 1, 0,a2,a3,a4,a5,1
1, a,a2,a3,a4,a5,a6,a7,a8,2
2, a,a2,a3,a4,a5,a6,a7,a8,3
3, a,a2,a3,a4,a5,a6,a7,a8,0
4, a,a2,a3,a4,a5,a6,a7,a8,2
5, a,a2,a3,a4,a5,a6,a7,a8,3
6, a,a2,a3,a4,a5,a6,a7,a8,2

@COLORS
1    0    0  255
2  255    0    0
3    0  255    0
4  255  255    0
5  255    0  255
6  255  255  255
I'm still here, in this damp and gloomy place that nobody pays attention to,
Singing songs with the sound of rain, but no one is there to listen;
The crowds are still dispersing aimlessly towards their destinations,
Busy, idle, and continuing on.

User avatar
hotcrystal0
Posts: 2246
Joined: July 3rd, 2020, 5:32 pm
Location: United States

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 » February 10th, 2024, 10:50 pm

This rule might have high-period oscillators embedded within P2 boundaries:

Code: Select all

x = 202, y = 152, rule = B2cen3acij4ew/S2-n3aij
5bobob2obo7b2o3b2o5bo2b3obo4b2o3bo2bob3ob2obob2o2bobo2bo5bo2b2ob2o2bo
3b3obo4b2ob5obo6b2o3bo6bo3bo3bob2ob3ob2o2bo3bob2o2bo3bo2b4o4bo3b2obob
2ob2o3b4o2b3o$b5obobob3o2bobob3ob3o2b2ob4o2bo2b2o3bobo2bo2bo2bo3b5o3b
o4bo2bo2bob2obo3b3o2bo2b2o2bob2o3b3o2b3o2b2o3b8obo2bo3bobo2b2obobobob
o2bo5bob2o3b4o2b4obob2obo4b3o2bo2bobo$b4o2b2ob6o3b2o2b5obo3bo4bo4b2o4b
3ob3ob4o3b2obob3o3bo2bo4bo5b4o11bob2obo2bo3b3o2b6o2bobob2o4bobo5b6ob8o
2b8obob3o3b4o4bo2bobobob2o$3ob2ob2o2b2o3bob5obo2bobobobob2o2b3obo2bo2b
ob3o3bo2bobo2bo3b4o7bobob2ob4o2bobob4o2bob2obobo3bob5obobo4bob2o2bobo
bobo2b2ob6o4b2o2b7o2b4o3b2o2b4o4bo2b3ob3o2bo$2o4b2ob2o3b3ob3obo3bobob
o2b7o2bob2o3bob3ob2o2b2ob2obo3b2o2b4obob3obo2bobob2o4b3o2bobo5b2o2b3o
2bob2o5bo2b2o2bo2bob4o3bo2bob5ob3ob3obob2obob4obo3b3o2bo3b2obobo$5o2b
6obo4b3obobo2bobob3o2b3ob4o3b2o2bo3bobo6b4o4bo3bob2obo2bobobo2bo2bobo
bo3bob3ob2o2b2o5bo3b3o3bobobo4b2o3b2obobo6bob2obobo5bob2o2b2obobobo4b
o3b2o4b3o$3b5o6b2obob6ob5o2b2ob3o4b2ob2ob2o2b2o2b4o2bob2o2bo3b2obo2b5o
3b3obobobo3bo3bobo2bo2b5obo4bobobob2obob3o6b2obo2b2obo4bo2bo2bo2bob5o
b8obo3bo2bo3bobobo$2bo5b3obob2o3b3obo4b3o2b2obo2b3o2bob2o2bo3bo2bobo2b
o4b6ob4ob2ob2o2b2o2b3o2b2o6bobob2ob3o9bob2ob3o2b2ob4o2b2obo2b2o2bob2o
3b2obo3bo2bob3o2b2obo5bo2bo3b3o4b4o$b2o3b2o2b2o4b3o2b3o2b3o5bo2bobob4o
4bo2bo2b3o2b2ob4ob3o4bobo2b2obobo4bo2bo3bo3b2o2b2o2bo3b4obob2obo5bo3b
2obobobo2b3o3bo4b5ob6obobob2o3b2ob2obo2bob2o2b2o2bobob2o$o3bo2b3o3bob
ob5o4b2ob2obo2bobo4b3ob3ob2o4bo5bo4bob5o3bo2b6ob3o3bobobo4b2obob2ob5o
b3obobobob2obo4bo4b4o2b5ob3o2b5ob3o3bo3bo2bobobo3bo5b2ob2obob4o$b3obo
2b2o8bo2bo2b4o10b2o7bo2bobo2bob2o2b2obo2bobobo2b4o3b4ob2obo2bobo3bob3o
bo2bo2b7o3bob2obob3o2b2o3b2obo2bo2bo2b3obob4ob3ob2ob2o7b2o2bo2b2o6b3o
2b2o3bo$o2bob2o4bo3b3obob2o4bo2b4obob6o4b2ob3obo3bo5b6o2b3ob4o6b4o3bo
bob2o7b3o3bob2o3b2o7bo3bo2bobobobo5bob3obo3b2o2bobo6b2obo2b2o3b2o2b2o
4b2o2b5obo$b4o4b6o2bo2b3obob9o2bob5o2b2obob3obo4bobo2bob2obobob3ob2ob
ob4ob2o2b4o2bobob2ob2o2bob2o3b2o2b4ob3o2bobob3ob2o2b4ob3o2b2o3bo4bob2o
bob2ob3ob3obo3b2ob3o2b2obo2bo$2obo2b4o3bobobo3bo2bob3o3b2o2bobob6o2b2o
bo4bo2bo2bo2bo8bo2bo3b2o4bob2o2b2o3bob5o2b3o4bobobo4b2obobo5bobo2b2o4b
ob2obob2obo7b5o3b2ob2obob2o2bo3b3o2b2o2bo2b3o$obobo3bob2o5bo2b3obobo9b
o3bo2b3o3b3o2bo2bob2o5bobob3o2b2ob2o2bobobo2bo2b2obobo2bob2ob2o4b4o3b
obob2o2bo4bobob5o2bobo2b2o3b2obo2b2o6bo4b2ob3o2bobo6bo3b2o3b3obo$2ob5o
bo3b3ob2obo4bo2b3o2bo2b2obob2obob3o2bob2o5bo5bobo7bo4bo5bo2bobobob4ob
3o2b3o5b4obob3o2bobob2o2b3obo2b2ob5o2b3obo2bob2o2b2o6b2obob3ob6o2b3o7b
obo$o2b3obo3bo2b3o3bob2o3b4o2b2o4b4o2b4o3b3obo2bob3o3b5obob4obobobo2b
5o3bo3b3o2b4obo2b3o3bobo5b2o2bobob3ob4obo4bob2o3bobo3bo2b3o4bob3o4b2o
bob3obo4b2ob2o$b3ob4obobo5bob2o2b7obobo5bo2b3ob2ob2o2b2o3bo8bobo2b2ob
2o5bob4ob2o3b3o3bo2b3o3bobob2o3bo2bo3b3o2b3o2bobob2o5bo4b3o2b3o2bo6bo
b2o4b5o2b2obobo3bo5b2o$obobo2bo2bo5bob2o4bo3bo8bobobo4b8obo6bo3b3ob2o
b3o3b5o2bob3obo4b2o3b2obobo2b3o3bo9b3o4bobo4bob2o2bo2b2o2bob3o4b3o2b3o
2b2obobo2bob2o2bo2b2o6b2o$5o3b2o3b5obo2b4o2b8ob2obob2ob3ob2ob5o2b2obo
6bo5bobobo6bob2obo4b5o3bob4ob6obo4b2obo3bobo4bobob2ob3o5bo4bo3bob3obo
3b2obo4bobo2bo2b2o2bobo5b2o$2b2ob2o2bo2bob4obo3b2ob4ob3ob4ob4ob5obob4o
2bob7ob3o3bo2b2obo4bobobob2o3bo2b3obo2b3o7bo2b4o2b4o2bo3b7o2b2o2bobob
ob4o3bo2b2o5b4obobob4obo2b2ob2o2b3o2bo$o3b2o2b2o3bo2b7o2bo3bo7bob5o2b
ob3ob2ob4o2b2obo2b3o4b3obo2b2o2b4ob3ob3o2b3ob2o5b8obobo3bobo3bo2b2ob3o
2bo2bo2b2obob4ob2o2b2o2b2o7bob2o2b5o2b4o4bob2o$2obob3obob2ob2ob2o2bob
2o2b2obo4bo2b4obob2obob4o2bo4bo3bob2o2bo6b3obobob6o3bo3bo8bob2obo2bob
obobo2bob2ob2o2bobob2o2bobo2bobobo2b3ob3ob2ob3o2bo2b3o5b2o2b2ob2ob5o5b
o$bo4bo2b2o2b2obo9b2obo3bo2b8ob7o2b2o2b2obob4obo4b3o3b2o2bo5b4obo4b4o
b2ob3o2b3obo2b2o3bobo2bo2bo2bo2b3o2bobo2b7o2b5ob3o2bob2obo9b3obob2o2b
5obo$bobo2b2ob2ob9ob4obob2o2b2ob2o3b3o4bo2bo2b2obobo4b2ob2obob5obobob
o2b2obob2o3bo2b2o2bob2o2bo2b4ob4ob2ob6o2b3ob2o3b2obo5b3o3b2o5b2o4b2ob
o4bo2b2ob6o4bobo3b3o$ob5ob2o5b5o3bo2b4ob2o3b2ob3ob2o2b2obo4b3o4bob7ob
o2bob2obo8bob2o6b6obo5b3obob5ob3obob5o2bo4bo2b2obob2o3b5o3bob6o3bo3b2o
2bo2bo3bob3o2bo3b2o$2bobo4b4o2bo7bo2bo2bob4ob2o3b5ob2obo2b7ob2o3b3o3b
4o2b4o3bob3obob3o6bo2b2ob2ob4o5bob2o4bo5b2ob3ob2o2bobo3bobo3b2ob3ob5o
2bobo3bo3bo3b6ob2obob2ob2o$5o3b3o4b3ob3ob2o3bobobo2bo5b7o2bob2obobobo
b3o2b3obo2b2o2bo2b5o3b2o5bo4bob4obo3bo2bobo6b6obob2o2bo2bob2o2bo3b2ob
2o2bobobo2b3obobo5b4ob4ob3o2bob5o2b3o$bobo2bob2obo2bo4bo3b3obobo2bob4o
2b4ob2ob4o6b7o2b2obob4obob4o3bo2bo3bobo3b5o2bo2bo2bo8b2o2bo2bo2b2obo3b
o3b2o2b3o5b2obobo4b2o3b2obob2o2b6o4b2o2b2o3bobo$b4o2b2o2bo3bo7b3o3bo2b
2obob2obo2bo4b2o2b4obob2obob3o2bo2bo4bob4o2b3obo2b3obob2o2bo6b3ob3o3b
o2b2o2b4obo3b3ob2obobo3b2o2b4o2b2o2b2o5bob2ob2o4b4o3b2obob2ob3o2bo$3b
obo7bob4ob2obob2o2b3o2b2ob2obo6b3o7bobo7b5ob5o2b2obo2bob3ob3o2bo3b2ob
5obo2b3o2bobobob2o2bo2bo2bo2b3obo6b2ob2obob2o2bo4b3o3bo2bo4b3ob2obobo
bob2ob2o2b3o$2o2bobo2b4ob3ob3ob2o2b2o2b2ob3o2bob2o3bobo2b2ob2o2bo3b2o
b2o5bo2bo2b2o3b2o2bob2ob2o6b2o2bob2o2b2obob3ob3obob2ob2o2bo4bobo2bo9b
ob3obobo3b5obobo2b2ob4ob2o3b5o2bo2b5o$2o3bo2bo2bo4b2obobo4bo2bob3o2bo
2bob5ob2obo2b2obo3bo4b2o3bob3ob5o3b4o2bo8b2ob2ob5o3bob4obob3ob3o2b2ob
2ob9o4b3o2bo2bo2bo2bo3b2o2b4o7b2o3bob2o2b4o2b2o$bobob2obobo10b2obo3bo
bob2obobob3o2b5o4bobo3bob3ob2o2bo2bob2o6bo4bo2bobobo3bo2bo2bo9b2o2b4o
bob4ob3ob2obobo3b2o3bob4obo2bobobob6o2b3ob5obo3bobo4b2o2bob2o$obo2bob
9o3bo4b3o2b2ob4obobo3bo2bo2bo2bobob2o3bo5b2ob4o2b4o2bobo2b3obobo2b7ob
o2bo3b3o6bo2b2ob2o2bob2ob3ob2o2b2o3b3o2bob2o3bo4bo3bobo2b2o3bo7bobob3o
2bo3bo$ob4o3b4o5b3ob2obob2ob2o3bobo2bobo3bobob2o2b3obob3ob2obo3bobo2b
ob2ob2ob3o2bobob4o2b2o2bobob4o2b3o2bo2b5ob5o4b2o2b3obob2obo3bobo2bo4b
o6b4o4bo6b5obob2o$2b2o2b4obob2o4b2obo3bob2obo2b2ob2obob2o3b2ob4obo2b3o
b3o2b2o3bo2b2ob4ob3ob3o3b2o2bobo4bo2bob2o12b2ob2obo3b3obob4obob3o3b2o
3bob7o2bob2o3b2obob3obob3ob3ob8o$2o2bob2ob3o3b3obo2bobob2ob2obob2obo4b
o4bobobo3b2obobo2b3obobo3bo3bo3bobob2o2b4obob3obob2obob3o3bob2o2b2o2b
ob2ob3ob2ob2o5bobobob2ob2obob4o2bo3b5o2b4o2bobob2obo3b2ob2ob2ob2o$bob
3o2bo3bob2obo4b3o2b2o2b2o2bob2o3b3o3bobob4ob2o3bob3ob2obobo3b2ob7ob2o
2bob3obo2bob2obobo2b5ob2o2bob3obo2b4o2bob5o5b3ob2o3b5ob2obo2b3ob2o2b2o
3bob2ob2obo2bo3b2o2bo$4o3b2obo2bobob5o6b2ob8obo2b2o6b4obo2b4obo3b2o2b
obo3bo4b2obob6o2bobo2bob2o4bob4o3bo3bobob3obo2bo2b3o2bobobo3b2o2b2obo
2bo3bo2bo2bo4bob3o2b2ob3obob2o3b3obo$obo3b3o3b2ob3o2bo3b4obob2o2b3ob5o
b4obo3bobo2b4o2bob2o3bobo2b2o2b2ob2obob2obo3bo2bo2b2ob2obo2bo3b4obo3b
9o2b3o2b5o2b5o2b4o2bob2o2b3o3bo2bobobob2o3bobo3b2o$b3o3bo4b2o4bo3bo3b
o2bo2bobo6b2ob4obobo5bo2b3obo6b2o2bo2b2obo3bo2b3obob3ob2o2b4obobob3ob
o3b2o3bob2o4b2ob2o3bob2ob2obob2o3b7ob2o2bobo2bob2o3b2ob2obobo2b2o2bob
obo$o2bob2ob3o2b2ob3o4bo4bo3b4o3bobo2b2ob2o2bob2o6b2o2bob2obob3ob2obo
b2o2b4obob4ob3obo3b2o2bob4o5b3ob2ob4ob2ob2o3b3o6bo2bo2b3o4bobobob2ob3o
bo2b4ob2ob2o3b2obo$ob4obobo2bob4o3b2ob6o3bo4bobo2b3o7b4o3bo3b3obo2b2o
bo8b5ob7ob5o2bo2b3obo2b2o2b2obo4b2o4bobo3b2ob3o3bo6b2obo3bob10obobob2o
3bob4ob2ob2obobo2bo$6obobobo2bob2ob2ob2o5bo3bo3b8obo2b3o2b3o4bo3b9ob3o
3bob2o3bob2o2bo3b2o3b2o3b2o2bo6b2ob2o4bobo2b2o2bob3obo2b2ob4ob2o4b2o4b
2o8b6o3bobo2bob2o2bo2b3o$2b4obob2obobo5b3o7b7obobob3o6bobob2o2b2o3b3o
3bo2bobob5ob2o3bobob4o3b3obob3o2bo3bo2b4obob3ob2obo2b2o2bo4bo3b3obo2b
2ob3ob2ob4ob3obobob3o3b5ob5o2bo2bo$2o4bob2obo2bobob2o3bo3bob4obo2bob2o
b4ob3ob2o4b2o2bobo2bobo2b4obobobob2ob2o2b3obo2b3obob4obob2o2bo4b2o3bo
2b3o3b4o3bo2bob5obob2ob5o2b2ob2obo5bob2o2bobo2bob2o2b3o2b3obo$o2b2obo
7b2o4b2o2bo3b2o2b2o2bob3o2bo4bo4bobobobo2b2ob3ob2ob4ob3o3bobobobob7o3b
obobo2b5obobo4b3obo2b5o9b3ob4obo4b2o2bo2b2ob3obobobob6o2bo2b2o2b2obob
o2b2o$4bob2o7b2ob2o2bob2ob3o2b3obo2bo2b4o2bo2bo3bob7ob4o3b2o3b2o4b2o6b
o2bo2b3o2b2o2b2obob6obobob3obob3o5b2o2b3o2b7o3bo3b4obo2b3o3b3obob2ob3o
bo2bobob2obo2bo$bo3b3o2bobo3bob2obo2bob2obo3b2o3bobo2b4o4bobo7b5ob2o3b
o4bo3bo3bob2obo2bo4b4ob4obob2o3bob3ob2o2bob2obob2o4bobo3b2obo2bo2b4ob
o3bo2bobo2b3ob3o6b2o2bo2bo2bo2b2obo$2ob3o4bobob2obo2b2o4b3obo2bobobo7b
2o2b2o2bob2o2b2o3bo2b3ob4o5b2ob2ob2ob2o3bob2o3bo2bo3b2o2bobobob2o2bo2b
8o3b4ob7o2bo2b2o2bo2b3o4b2obo2bo3bob3o3b5o3bo2b6o$2ob3obo2bo2b5o4bob2o
b3o3bobob3obob5obob3obobo2bob2o2b2ob2obo2bo2bob5obo5bo2bo2b3obo2b2ob4o
b2o2bobo3bob2o3b2o2bo4b2ob3ob2o4bob3obob6ob3o2bo5bobobo2b3obo4b2o2b3o
$o2b4ob2ob7ob5obo2bob5o2bob4o5bo2b2o2bo2bobo2bobo2b6ob2o3b3o2bo2bo2bo
3b8o2b2obobo3bob3obob6obo6bo2bob3o3bob2o5b4ob4ob2ob2o5b4o5b2o2b3o2bob
3ob2o$obobobob2obob6o2b4ob11o5bo4bo3bobobob2o3b2ob2o2bo2bo5bobo2b3ob2o
3bo2b4ob2ob2obobo2bo3bo2bo4b2o4bo4bo3bo2bobo2bo3bo3bob2ob2ob4o3b4o2bo
bo2bob4ob2ob5ob2o2bo$bo3b4o2bo2bo3b3o3bo3bo4b2o2b5obob3o3b2obo3b6o2b2o
3b2ob2o2b3ob2o2bob5ob3o2bob7o3b2o3bobo2b4o2bo3b3o2bo2bobobob2ob2o2bob
2o2b4ob2ob3o2bo2b2o2bobob3ob2o2b3ob2o4b2o$bo3bobo2bo2b2ob2o5bo6b2ob2o
b2ob2o2bo2bo4bo2bobobob4o2bob2ob3o2b5o3bo4bo2b3ob3o2b3obo2bobo2bo2bob
o7b2o2bo4b2o3bobob4obo2b2o5b2obo3bob4ob2obo5b3ob2o2bobobo2b2o$obo2b3o
2bo2bobobobo6bo5bob2o3b2o4bo5bob5o2bobo3b4o3bo2b3obob2o3bob3obo3bob2o
bo4b2obo3b2o8b2o3bobob6ob3o2bo4b2ob2ob2o2b2o4bobobo3bo3bob3o3bo7bo4b2o
$b3obob2o5b3o2b2o3bob2obobob2ob3o2b2o2bo5bob2ob3ob6o3bo3b2ob3o3b2ob3o
2b2ob2ob3obo4b3o3b2o2b2obo2b4obo2bo3b2o4b5obobo3bob5o4bob2ob3o6b5ob2o
b7obo3b4o$2b3o2b4ob6o2b3ob2obo4bob3o2bob2o3bobob2obo2bobobobo2b2o2b3o
bo2bob2o3b4ob2o2b3ob3o2bob2obobo6b2ob2obo2b5o3bo2b2o2bobob3o2bo3bo6bo
b2ob2obo5bob3ob2o2b2o2bob4ob2o2bobo$o3b2o11bob2o2b3ob6o2bo3b3ob3o5b2o
2b3ob5o2b2o2bobo3b6o4b3ob2o4b4obob4obobob2obo4bo5b3o5bob5o2b2obo5b8ob
o5bo2bo5bo3bo5bo2b3o2b2ob2obo$3b8obobobobob3obo3bo2bobo5bo2b2o2b2o3b2o
bo2bob5obobob4o2bo3b2o6b6obobob2obobo2b2o3b5o2b2ob2obobobo2b5o2bo3bob
4o5b3o3b6ob8obo3b3o4b2obo5bo5bo$b3o2b2ob2o2b2o4bobo3bo4b2ob3o3bo2bo2b
ob2obob2obob3o7b3o2b2o3bob2o2b2obobobo4bo3bobob2o15b3obo3bo3b2obobobo
6b4obo3b2o2b4o3bob3o3bobob4o2bob2ob3o2b2o3b2o$6ob3o3bobobo3bobo3b2ob7o
b2o4b6o6bobobob2o3bo2bo3bo2bobob2obob9ob3ob2o2bo2b3ob2ob4o2b3ob2ob5ob
4o2bo2bo3bobo2bob2o2b2o2b3ob5o5bo2b2obo4b2obo2b4o2b2o$o2bob8obobob2o2b
3o3b11o2b4obobob3o3b2ob5o5bob2o3b5o2b3o4b4o2bo2b2ob2ob6o2bo6bobo4b2o3b
2obob3o2b2o2bob2o3b2obobob3o2b2o2bo2bo2b5obo3bob4o4bo2bob2o$5o7b2ob4o
b8o3bobobob3o2bobo2bo3b3obo3b3o2b4obobobo2b4o2bo3b4obo2bo2bob2o4bobob
o2bo2bobobobob3o10b3o3b3o2b6o2b2obobob7o2b4ob3obobo3bobo5bobo$o2bob2o
bo2bobo2b2o5bobobo2bob2obo9b2ob2obo2b2o2bo2bo3bo5bob2o2bo2b5obobobo2b
ob2o3bob3obo2b2obobo2b2ob2obo2bo2b4obo2bobo2b2ob2o2b2ob2o2b4ob8o3bob2o
4b2obo2bo2b2ob5obobo$3o3bobob4ob6obobobo2b2obobob2obo2b2ob3obobo2bo4b
5o4b4ob4o3b3o3b4obob2o2bo2bo4b3o2bo2bo2b5o2b2obob2ob8o2b3ob5obob6ob4o
b5ob2obobob2o2b3obo5b3obobobo$2bo5b3ob2o2bo2b3o2bo3bobobob3ob3o2b4ob5o
4b3ob2o2b2o4bo2bo2b3o2b5obo2b3obo2b3o3b2ob3o2b2obo2bob2ob2o2bo2b4o3bo
3bo3bo3bobo3b4obob2o2bob2ob2o2bob3obo3bo2b4o2bo2bo3bo$b4ob3obob4o3b2o
bob2obobobob2obo2bo4bob5o3b3o2b2ob2o2b2o2bo2bobo2bobo2bo2bobobo2b2o2b
o2bo2bobobo2b3obo2bobo2bobo3b3o2b3o2b3o3bob2ob7o3bo4b3o3bo2bo2bobo4bo
2bob2obo4b2o3bo$6b2ob3o3b3obo3bo2b7o2b3obo2b3ob3o4bo3bo3bo8b3o2b3ob5o
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5o2b5obo2b3obob2obo3b3obo4bobo6b4obo2b3ob2o4bob2ob3o2bobo2b5o4b2ob2o6b
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ob2obob5ob2o2bo4bo3bob5obob6o4bo3b3o3bo5b2ob2o2bob2o4bo3bobo2bo2bo5bo
4bob2o3bo2bobo2b2o4bo$7bo2b2obo2b2ob4ob4o3b4o2b3ob5o5b4obob3ob5ob3obo
bo2bo5b5o3b2o2b2o2b2ob5o2b5obo2b2o2b3o3b2obob2obo4bo6bobob2ob2o3b4ob2o
6b6o2bobobo3bob3obo3bobo$7bo2bo2bob2o2b3obob2o2bobobo2bo2b2obo3b2ob2o
2bob2ob2o2b6obob6obob2o2b2ob5o2b2obob2obo2bo3bo3bo2b2o2b2o2bo4bob2o4b
5o3bob4obo2b3o4bob4o4bo5b3obo2b3obo2bo4bo2b2o$7bobob2obobo4bo2b8o3bo2b
2ob3o2bob5obobo2bo2b2o2bob5o3bo4b4ob2obo3bob2obob2o2bob2ob3o2b5ob2obo
2bobob2obobob2o2b3obobo3b3obo2b2ob2o4b2ob3o2b3ob4ob4ob4o2b3obo$o4b6o5b
3o4bobo3b2ob3o2bobob3obob2obo2bob2ob3obo2b5o3b5o3bobo3b4o3bob4obo2bob
obobo2b2o2b6ob2ob2ob2ob8obo7bobo2b3o2b4o3bob2o3b2obo5bo2b3ob2o3b2obo2b
o$6bo4b7o4b3obob3obob3o4bo2bobo3b4obo3bo2bobobo2bob4o3b5o3b4obo2b4ob4o
bo3bo2bobob2ob6ob2o4bob3obobo2b2obob4o5bo2b4obob3ob2o2b4o3b5o2b3ob5ob
3o$2b4o2bobo4bo2bob4obob6obob4o2b2obobob4o3bobobo2bo3bo2bo2bob4o2b2o4b
2o2bobob3o2bo3b3obobob2ob3obob2ob2obo3b2o3b3ob2o2bo8bo3bob2obob2obob2o
bo3bo3bob2o3bob2o2b2obobo2bo$obobo2bo3b2o2bob3obobo2b2ob2o2b2o2b2o8bo
3bobobo3b2ob3ob2o5b3ob2o2b5o4b2obobo2b2o4b2obo2bo2bob4ob6obob3obo5bo2b
3ob3o2bo3bo2bo2bo4bob3obo6b2o2b2obobo2bobob2o3bo$b4ob3ob3obobo2bo3b2o
2bobo2b2o5b4ob3o5b2ob4ob2obob2o4b4o4b3o2bob2ob3o3b6obobob5obo3bo5b2ob
o7b3ob4o3b6obo6b2o2b4o4bo2b2obob2o2b2ob4o2bo3bob4o$b3obo3b3o4b4o4b2ob
4o7bob2ob2o2bo2bob4ob2obo2b4obo2bo4bo4bob2ob2o3b6obob5o4bob5o3bo2b5ob
obo4b3ob3ob2obo2bo3b3o2b5o2b5o3bo8bobo2b2ob4obob4o$obo3b2obob6o2bob3o
3bo3bo3b2o3b2obob4o2b2o3b2ob2o6bob3o5bobob2ob4ob2o4b3obobob2o4bob2o2b
2ob2obo3b2o2b3o3bob6o4b3o5b2o5b2o3bo6b3ob3obobo4bobo2b4ob3o$2obo4bo2b
o5bob2o3bobo3b2ob3o2bo2bob2o2b2ob4ob3o2b3o4b2ob4o2bobobo2b2o2bo2b4ob2o
bo4bob2ob3o3b3o2bobo4bo2b2o4bo2bob2ob2o3bob5o3b3ob2o2bo2b2o2bobob4obo
2b3ob5ob3obobo$ob4obobo6bo2bo3b2o2b2o4b3o2b4ob3obobob2obob2o4bo3bo2b2o
3b2o2b3ob8obobobob2o5bobob7obob2o3b3obo4bo2b2o4b2ob2o2bo2b3o2b2ob2obo
b2obo5bo4bo3b2o3bob2ob7ob2o$2b2ob5o2b4obobobo3bo2bo3b3ob4obo2b2o2b3o2b
7obo3bo3b2obob3ob2o3bo2bob2o2bo8b2o2b2obob2o2b5o2bobo2b7ob5ob3obobo2b
2o11b4o4b4o2b2o2b2obob3obo3b2o4b2o!

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » February 11th, 2024, 11:50 pm

Temporal figure eight :

Code: Select all

x = 28, y = 28, rule = B34t6i/S23
24b2obo$25b3o$26bo22$o$2o$b2o$2o!
Corder engine analogue:

Code: Select all

x = 3, y = 4, rule = B34tzy5y6i/S234t
o$2o$b2o$2o!
10c/90 puffer:

Code: Select all

x = 3, y = 4, rule = B34ctz5cry6i/S234y8
o$2o$b2o$2o!
Guess which way the B goes.
EDIT:
2c/54:

Code: Select all

x = 3, y = 4, rule = 234y8/34cjtz5cry6i/3
A$2A$.2A$2A!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

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Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

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confocaloid
Posts: 3065
Joined: February 8th, 2022, 3:15 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 14th, 2024, 2:10 am

tommyaweosme wrote:Created page with "@RULE PepsiAndCola @TABLE n_states:3

Code: Select all

x = 2, y = 11, rule = PepsiAndCola
AB$AB$AB$AB$AB$AB$AB$AB$AB$AB$AB!
#C [[ ZOOM 16 ]]

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b-engine
Posts: 1390
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » February 15th, 2024, 11:34 pm

Wickstretcher that's actually growing spaceship:

Code: Select all

x = 9, y = 14, rule = B2ae/S1e2i3ey4t
2b2o$bo2bo$5bo$6bo$7bo$b2obo3bo$obo$2bobo3bo$2bo4bo$2bo3bo2$b3o$2bo$2b
o!
Fortunately there exist a trivial p6 fencepost:

Code: Select all

x = 9, y = 15, rule = B2ae/S1e2i3ey4t
2b2o$bo2bo$5bo$6bo$7bo$b2obo3bo$obo$2bobo3bo$2bo4bo$2bo3bo2$b3o$2bo$2b
o$2bo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

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Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

vibratingwax
Posts: 4
Joined: September 20th, 2023, 4:19 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by vibratingwax » February 16th, 2024, 5:03 pm

So this rule has a very common spaceship:

Code: Select all

x = 3, y = 5, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
3o$3o$bo2$bo!
When two such ships collide, they reverse their directions:

Code: Select all

x = 33, y = 5, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
$5bobo13bobo$5bob2o11b2obo$5bobo13bobo!
The ship also reverses its direction if it hits this oscillator:

Code: Select all

x = 28, y = 3, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
bo14bobo6bo$bobo11b2obo6bobo$bo14bobo6bo!

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confocaloid
Posts: 3065
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 16th, 2024, 5:16 pm

vibratingwax wrote:
February 16th, 2024, 5:03 pm
So this rule has a very common spaceship:

Code: Select all

x = 3, y = 5, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
3o$3o$bo2$bo!
When two such ships collide, they reverse their directions:

Code: Select all

x = 33, y = 5, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
$5bobo13bobo$5bob2o11b2obo$5bobo13bobo!
The ship also reverses its direction if it hits this oscillator:

Code: Select all

x = 28, y = 3, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
bo14bobo6bo$bobo11b2obo6bobo$bo14bobo6bo!
That gives shuttle oscillators of periods 6+4k. And the c/2o glider can hit the block to make a diagonal c/21 spaceship:

Code: Select all

x = 44, y = 33, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
o3bo3bo$ob3o3bobo$o3bo3bo3$o3bo4bo$ob3o4bobo$o3bo4bo$31bo$29b3o$o3bo5b
o20bo$ob3o5bobo29b2o$o3bo5bo31b2o3$o3bo6bo$ob3o6bobo$o3bo6bo$31bo$29b
3o$o3bo7bo18bo10b2o$ob3o7bobo27b2o$o3bo7bo3$o3bo8bo$ob3o8bobo$o3bo8bo
3$o3bo9bo$ob3o9bobo$o3bo9bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

vibratingwax
Posts: 4
Joined: September 20th, 2023, 4:19 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by vibratingwax » February 16th, 2024, 5:29 pm

vibratingwax wrote:
February 16th, 2024, 5:03 pm
The ship also reverses its direction if it hits this oscillator:

Code: Select all

x = 28, y = 3, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
bo14bobo6bo$bobo11b2obo6bobo$bo14bobo6bo!
It can also destroy the oscillator and reverse its own direction:

Code: Select all

x = 11, y = 18, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
3$4b3o2$4b3o$5bo8$5bo$3bobo$5bo!

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confocaloid
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 16th, 2024, 5:41 pm

Collisions

Code: Select all

x = 76, y = 25, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
2bo4b2ob2o14b2o3b2o9b2o7bo$obo4b5o14b3ob3o9b3o4bobo$2bo4b2ob2o14b2o3b
2o9b2o7bo8$2bo4b2ob2o14b2o3b2o10b2o6bo$obo4b5o14b3ob3o10b3o3bobo$2bo4b
2ob2o14b2o3b2o10b2o6bo9$8bo9bo9bo$2bo9b3o7b3o17bobo6bo4bo6bo4bo6bo$obo
4b3o7b3o7b3o11b2obo4bobo4bobo2bobo4bobo2bobo$2bo10bo9bo18bobo6bo4bo6bo
4bo6bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

vibratingwax
Posts: 4
Joined: September 20th, 2023, 4:19 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by vibratingwax » February 16th, 2024, 7:54 pm

vibratingwax wrote:
February 16th, 2024, 5:03 pm
So this rule has a very common spaceship:

Code: Select all

x = 3, y = 5, rule = B3-q4-aiq5-i67c8/S2a34qwz5i
3o$3o$bo2$bo!
And in this rule you have a gun:

Code: Select all

x = 7, y = 6, rule = B3-q4-aiq5-i6/S2a35i
$2b3o$2b3o$b5o!
This may be actually less interesting than I had thought. Anyway,

Code: Select all

x = 6, y = 23, rule = B3-q4-aiq5-i6/S2a35i
b5o$2b3o$2b3o18$b3o$b3o$5o!

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