Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 6th, 2021, 11:22 am

Oooh

Code: Select all

x = 3, y = 3, rule = B2i3-kq4jz5acq/S234inqz5aejq6e
o$b2o$bo!

EDIT: Lol

Code: Select all

x = 3, y = 3, rule = B2i3-kq4jz5acq/S234inqz5ajq6e
o$b2o$bo!

Edit 2: Accidental P20 glider gun:

Code: Select all

x = 5, y = 3, rule = B2i3-ekq4jkz5acq/S2-in3-k4inz5j
2bo$b3o$2ob2o!

Edit 3: Prepond-> 2dG

Code: Select all

x = 3, y = 3, rule = B2i3-ky4acijyz5cery6cei7e/S2-i3-aeky4nqty5ain6ai
bo$2o$2bo!
Edit 4: Typos X_X
Anyways, random prepond->dG:

Code: Select all

x = 3, y = 3, rule = B2i3-ky4aqyz5cekry6a7c/S2-in3-aky4cnyz5r6a8
bo$2o$2bo!
Edit 5: Prepond-> 2dG:

Code: Select all

x = 3, y = 3, rule = B3-y4qy5aceq6i7/S2-in3-aek4cein5a78
bo$2o$2bo!
Edit 6: Prepond->2G:

Code: Select all

x = 3, y = 3, rule = B3-cky4cinqy5ack6-in8/S2-in3-aek4inqr5eijq6n7c
bo$2o$2bo!
Edit 7: Prepond-> 2G:

Code: Select all

x = 3, y = 3, rule = B2i3-cky4intz5cky6ei7e/S2-i3-aek4cenr5r6-i8
bo$2o$2bo!
Edit 8: 2dG again:

Code: Select all

x = 3, y = 3, rule = B3-cky4jny5ac6ace7c/S2-i3-aeky4-aktw5nq6in7
bo$2o$2bo!
Edit 9: P25:

Code: Select all

x = 3, y = 3, rule = B2i3-ekqy4jyz5acqr6ei/S2-in3-k4inqz5aej
3o$obo$bo!
Edit 10: Prepond->2G:

Code: Select all

x = 3, y = 3, rule = B3-cky4jqyz5acr6cik8/S2-in3-aky4ejnrz5inr6ei78
bo$2o$2bo!
Edit 11: P66:

Code: Select all

x = 3, y = 3, rule = B3-ky4qt5cky6cek/S2-i3-ak4nq5ai6-ac
bo$2o$2bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » April 7th, 2021, 1:32 am

Incredibly strange rake:

Code: Select all

x = 12, y = 3, rule = B2a3aery4ait5ei/S01e2i3e4et6i
4bobo$obob3obo2bo$4bobo!
Both it and the ships it shoots are 3xn.
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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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 7th, 2021, 7:34 am

Prepond->3qG:

Code: Select all

x = 3, y = 3, rule = B3-cky4cqty5ackry6c78/S2-in3-aek4inr6c
o$b2o$bo!

Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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yujh
Posts: 3066
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Contact:

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » April 7th, 2021, 8:17 am

6c/179o

Code: Select all

x = 3, y = 2, rule = B2n3-cky4cqty5ackry6ce78/S2-in3-aek4cinr6ce
3o$obo!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 7th, 2021, 8:51 am

P32:

Code: Select all

x = 21, y = 21, rule = B3-ceky4cqy5-ijnq6c7c/S2-in3-aek4inr6c
15b2o$13bo3bo$13bobobo$16bob2o$6b2o9bo2bo$7b2o3bo5bobo$4bo2bo$4b3o11b
2o$5bo9bo4$5bo9bo$b2o11b3o$13bo2bo$obo5bo3b2o$o2bo9b2o$b2obo$3bobobo$
3bo3bo$4b2o!

EDIT: P324:

Code: Select all

x = 30, y = 30, rule = B3-ceky4cqy5-ijnq6ci7c/S2-in3-aek4inr5r6ci
12b3o$11bo3bo$10bo4bo$10bo$10bo$11bo3bo$14b3o12bo$15bo11b2o$13b2o13b2o
$13bobo$2b3o10bo$bo3bo$o$o7b2o$o5bobo$b2o2b3ob2o$6bo11$7bo$7b2o$6bobo
!

Edit 2: Crazy qG gun:

Code: Select all

x = 3, y = 4, rule = B3-ceky4ciqty5-ijnq6c7c/S2-in3-aek4ceinrt6c
o$3o$2bo$3o!

Edit 3: c/6d:

Code: Select all

x = 3, y = 3, rule = B3-cky4ciqy5ck6ak7c/S2-in3-aek4ijnqy5ajq6-an78
bo$2o$2bo!
Edit 4: Prepond->dG:

Code: Select all

x = 3, y = 3, rule = B3-cy4c5acr6-an7c/S2-in3-aeky4-ackw5iq6in7c
bo$2o$2bo!
Edit 5: Prepond->2G:

Code: Select all

x = 3, y = 3, rule = B3-y4cq5acy6e7c/S2-i3-ak4nqr5inq6ai7e8
bo$2o$2bo!
Edit 6: Prepond->2G:

Code: Select all

x = 3, y = 3, rule = B3-cky4cjnty5cy6k7c/S2-in3-aeky4einqr5ijnr6-kn8
bo$2o$2bo!
Edit 7: P12:

Code: Select all

x = 3, y = 3, rule = B3-cky4ciqtz5cky6ack7e/S2-in3-aky4eijnrtz5eijnr6c7
bo$2o$2bo!
Edit 8: 2c/25d:

Code: Select all

x = 3, y = 3, rule = B2i3-ky4ay5ace6k78/S2-i3-aeky4jnry5air6c7e8
o$b2o$bo!
P12:

Code: Select all

x = 3, y = 3, rule = B2i3-y4aciqt5ce6ei/S2-in3-aky4ceinqr5ejqr6c7e
bo$2o$2bo!
Edit 9: A long-winded prepond->2dG:

Code: Select all

x = 3, y = 3, rule = B2i3-cy4ciq5cer6eik7c/S2-in3-ak4jnqrtz5eq6c
bo$2o$2bo!
Edit 10: P7 snowflake:

Code: Select all

x = 7, y = 7, rule = B2i3-y4ciqy5acr6cei7c8/S2-in3-aky4cinz5ajnr6an7e
3bo$b5o$bo3bo$2obob2o$bo3bo$b5o$3bo!
The qG gun was P864.
Edit 11: c/8d:

Code: Select all

x = 3, y = 3, rule = B3-ky4jqtz5ckr6a8/S2-i3-ak4enr5ar6ae7e
bo$2o$2bo!
Edit 12: Prepond->dG:

Code: Select all

x = 3, y = 3, rule = B3-y4qyz5acky7e/S2-in3-aeky4cjnqt5ajr6ce8
bo$2o$2bo!
Edit 13: 3c/150d!!!

Code: Select all

x = 3, y = 3, rule = B3-cky4cq5acr6cek8/S2-i3-aek4cejnry5eiqr6ci7e8
bo$2o$2bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
jimmyChen2013
Posts: 184
Joined: December 11th, 2017, 3:28 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by jimmyChen2013 » April 7th, 2021, 9:45 pm

what how

Code: Select all

x = 93, y = 98, rule = B3-q4ceky5aijqr6cei7/S2ace34ci5ck6ce78
46bo$45b3o$44b2ob2o$45b3o$46bo5$46bo$45b3o3$45b3o$46bo2$31bobo25bobo$
23bo8b2o25b2o8bo$19b2o12b2o23b2o12b2o$19b3o9b2ob2o9b3o9b2ob2o9b3o$19b
2o8b3o2b2o10bo10b2o2b3o8b2o$23bo7b3o11bobo11b3o7bo$45bobo$45b3o$45b3o$
46bo2$46bo$45b3o$45b3o$45bobo$23bo7b3o11bobo11b3o7bo$19b2o8b3o2b2o10bo
10b2o2b3o8b2o$19b3o9b2ob2o9b3o9b2ob2o9b3o$19b2o12b2o23b2o12b2o$23bo8b
2o25b2o8bo$31bobo25bobo2$46bo$45b3o3$45b3o$46bo2$25b2ob2o33b2ob2o$24bo
bobo35bobobo$21bobob2o3bo31bo3b2obobo$20b2obo4b3o15bo15b3o4bob2o$21bob
ob2o3bo14b3o14bo3b2obobo$24bobobo15b2ob2o15bobobo$25b2ob2o15b3o15b2ob
2o$46bo7$25b2ob2o33b2ob2o$24bobobo35bobobo$21bobob2o3bo31bo3b2obobo$
20b2obo4b3o31b3o4bob2o$21bobob2o3bo31bo3b2obobo$24bobobo35bobobo$25b2o
b2o33b2ob2o4$43b7o$44bo3bo$26b2o13b2o3bo3b2o13b2o$41b2o2b3o2b2o$25b3o
14bo7bo14b3o$10bo14b3o17b3o17b3o14bo$6b2o17bo19b3o19bo17b2o$2bo7bo12b
2obo19bo19bob2o12bo7bo$o10bobo8b3ob2o37b2ob3o8bobo10bo$2bo7bo12b2obo
39bob2o12bo7bo$6b2o17bo41bo17b2o$10bo14b3o37b3o14bo$25b3o37b3o2$26b2o
37b2o2$26b2o37b2o2$25b3o37b3o$10bo14b3o37b3o14bo$6b2o17bo41bo17b2o$2bo
7bo12b2obo39bob2o12bo7bo$o10bobo8b3ob2o37b2ob3o8bobo10bo$2bo7bo12b2obo
39bob2o12bo7bo$6b2o17bo41bo17b2o$10bo14b3o37b3o14bo$25b3o37b3o2$26b2o
37b2o!

Code: Select all

x = 427, y = 228, rule = B3-q4ceky5aijqr6cei7/S2ace34ci5ck6ce78
10$172bo49bo$171bobo47bobo$158bo13bo49bo13bo$157b3o11bobo47bobo11b3o$
156b2ob2o11bo49bo11b2ob2o$157b3o10bobobo45bobobo10b3o$158bo12bobo47bob
o12bo$172bo49bo$171bobo47bobo$170bobobo45bobobo$172bo49bo$171bobo47bob
o$172bo49bo$79b2o17b2o35b2o34bobo47bobo34b2o35b2o17b2o$78b3o91bo49bo
91b3o$79b3o16b3o33b3o6b2o105b2o6b3o33b3o16b3o$73bo2bo4bo15bo2bo33bo2bo
4b4o15b2o69b2o15b4o4bo2bo33bo2bo15bo4bo2bo$72bo3bo2bob2o12bo2b2obo31bo
b2o2bob3o2bo5bobo6b2o69b2o6bobo5bo2b3obo2b2obo31bob2o2bo12b2obo2bo3bo$
72bob4obo2b2o8b3o3bo37bo2bo2b2o3bo3b2ob2o15b3o47b3o15b2ob2o3bo3b2o2bo
2bo37bo3b3o8b2o2bob4obo$72bo3bo2bob2o12bo2b2obo31bob2o2bob3o2bo5bobo
17bo49bo17bobo5bo2b3obo2b2obo31bob2o2bo12b2obo2bo3bo$73bo2bo4bo15bo2bo
33bo2bo4b4o25bobo47bobo25b4o4bo2bo33bo2bo15bo4bo2bo$79b3o16b3o33b3o6b
2o27bo49bo27b2o6b3o33b3o16b3o$78b3o233b3o$79b2o17b2o35b2o121b2o35b2o
17b2o2$117bo159bo$116b3o157b3o$79b2o17b2o16bobo16b2o17b2o83b2o17b2o16b
obo16b2o17b2o$78b3o35bobo35b3o81b3o35bobo35b3o$79b3o16b3o13bobobobo13b
3o16b3o83b3o16b3o13bobobobo13b3o16b3o$73bo2bo4bo15bo2bo15bobo15bo2bo
15bo4bo2bo71bo2bo4bo15bo2bo15bobo15bo2bo15bo4bo2bo$72bo3bo2bob2o12bo2b
2obo14bobo14bob2o2bo12b2obo2bo3bo69bo3bo2bob2o12bo2b2obo14bobo14bob2o
2bo12b2obo2bo3bo$72bob4obo2b2o8b3o3bo17b3o17bo3b3o8b2o2bob4obo69bob4ob
o2b2o8b3o3bo17b3o17bo3b3o8b2o2bob4obo$72bo3bo2bob2o12bo2b2obo15bo15bob
2o2bo12b2obo2bo3bo69bo3bo2bob2o12bo2b2obo15bo15bob2o2bo12b2obo2bo3bo$
73bo2bo4bo15bo2bo14b5o14bo2bo15bo4bo2bo71bo2bo4bo15bo2bo14b5o14bo2bo
15bo4bo2bo$79b3o16b3o14bobobo14b3o16b3o83b3o16b3o14bobobo14b3o16b3o$
78b3o36bo36b3o81b3o36bo36b3o$79b2o17b2o35b2o17b2o83b2o17b2o35b2o17b2o$
116bobo157bobo$114b2obob2o153b2obob2o$114bo5bo153bo5bo$113b2ob3ob2o
151b2ob3ob2o$113bo2bobo2bo151bo2bobo2bo$113bo7bo151bo7bo$116bobo157bob
o$114b2o3b2o153b2o3b2o$117bo159bo$116b3o157b3o$116b3o157b3o2$103bobobo
19bobobo131bobobo19bobobo$102bobobobo17bobobobo129bobobobo17bobobobo$
103bobobo2bo3bo5bo3bo2bobobo131bobobo2bo3bo5bo3bo2bobobo$109b2o3b3ob3o
3b2o143b2o3b3ob3o3b2o$108bob5obobob5obo141bob5obobob5obo$109b2o3b3ob3o
3b2o143b2o3b3ob3o3b2o$103bobobo2bo3bo5bo3bo2bobobo131bobobo2bo3bo5bo3b
o2bobobo$102bobobobo17bobobobo129bobobobo17bobobobo$103bobobo19bobobo
131bobobo19bobobo2$116b3o157b3o$116b3o157b3o$117bo159bo$114b2o3b2o153b
2o3b2o$116bobo157bobo$113bo7bo151bo7bo$113bo2bobo2bo151bo2bobo2bo$113b
2ob3ob2o151b2ob3ob2o$114bo5bo153bo5bo$114b2obob2o153b2obob2o$116bobo
157bobo$78bobo73bobo81bobo73bobo$78bobo36bo36bobo81bobo36bo36bobo$76bo
2bo35bobobo35bo2bo77bo2bo35bobobo35bo2bo$75b3o37b5o37b3o75b3o37b5o37b
3o$75b3obobobo33bo33bobobob3o75b3obobobo33bo33bobobob3o$75bo2b3ob2o32b
3o32b2ob3o2bo75bo2b3ob2o32b3o32b2ob3o2bo$75b3obobobo32bobo32bobobob3o
75b3obobobo32bobo32bobobob3o$75b3o38bobo38b3o75b3o38bobo38b3o$76bo2bo
34bobobobo34bo2bo77bo2bo34bobobobo34bo2bo$78bobo35bobo35bobo81bobo35bo
bo35bobo$78bobo35bobo35bobo81bobo35bobo35bobo$116b3o157b3o$117bo159bo$
116b3o157b3o$78bobo35bobo35bobo81bobo35bobo35bobo$78bobo35bobo35bobo
81bobo35bobo35bobo$76bo2bo34bobobobo34bo2bo77bo2bo34bobobobo34bo2bo$
75b3o38bobo38b3o75b3o38bobo38b3o$75b3obobobo32bobo32bobobob3o75b3obobo
bo32bobo32bobobob3o$75bo2b3ob2o32b3o32b2ob3o2bo75bo2b3ob2o32b3o32b2ob
3o2bo$75b3obobobo33bo33bobobob3o75b3obobobo33bo33bobobob3o$75b3o37b5o
37b3o75b3o37b5o37b3o$76bo2bo35bobobo35bo2bo77bo2bo35bobobo35bo2bo$78bo
bo36bo36bobo81bobo36bo36bobo$78bobo73bobo81bobo73bobo$116bobo157bobo$
114b2obob2o153b2obob2o$114bo5bo153bo5bo$113b2ob3ob2o151b2ob3ob2o$113bo
2bobo2bo151bo2bobo2bo$76bo36bo7bo36bo77bo36bo7bo36bo$76b2o2bo35bobo35b
o2b2o77b2o2bo35bobo35bo2b2o$73b2obo3bo33b2o3b2o33bo3bob2o71b2obo3bo33b
2o3b2o33bo3bob2o$73bo5b2obobo32bo32bobob2o5bo71bo5b2obobo32bo32bobob2o
5bo$72b8o2bob2o30b3o30b2obo2b8o69b8o2bob2o30b3o30b2obo2b8o$73bo5b2obob
o31b3o31bobob2o5bo71bo5b2obobo31b3o31bobob2o5bo$73b2obo3bo73bo3bob2o
71b2obo3bo73bo3bob2o$76b2o2bo73bo2b2o77b2o2bo73bo2b2o$76bo81bo77bo81bo
6$76bo81bo77bo81bo$76b2o2bo73bo2b2o77b2o2bo73bo2b2o$73b2obo3bo73bo3bob
2o71b2obo3bo73bo3bob2o$73bo5b2obobo31b3o31bobob2o5bo71bo5b2obobo31b3o
31bobob2o5bo$72b8o2bob2o30b3o30b2obo2b8o69b8o2bob2o30b3o30b2obo2b8o$
73bo5b2obobo32bo32bobob2o5bo71bo5b2obobo32bo32bobob2o5bo$73b2obo3bo33b
2o3b2o33bo3bob2o71b2obo3bo33b2o3b2o33bo3bob2o$76b2o2bo35bobo35bo2b2o
77b2o2bo35bobo35bo2b2o$76bo36bo7bo36bo77bo36bo7bo36bo$113bo2bobo2bo
151bo2bobo2bo$113b2ob3ob2o151b2ob3ob2o$114bo5bo153bo5bo$114b2obob2o
153b2obob2o$116bobo157bobo2$117bo159bo$115bobobo155bobobo$115b5o155b5o
$117bo159bo$116b3o157b3o$116bobo157bobo$116bobo157bobo$114bobobobo153b
obobobo$116bobo157bobo$116bobo157bobo$116b3o157b3o$117bo159bo!

Code: Select all

x = 8, y = 13, rule = B3aeiqr4-aijn5c6cei7/S2cn3-ajr4ceiqt5eijkq6-a7c8
2bo$b3o$5o$b5o$2b5o$3b5o$2b5o$b5o$5o$4o$3o$2o$o!

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 8th, 2021, 12:42 am

I screwed around with the prepond some more. The cover pattern for this file will be the dG-dG bounce that I saw in the evolution of the prepond in the same rule.

Code: Select all

x = 20, y = 20, rule = B3-y5ackr7e/S2-i3-aek4einqry
16bo$14b2o$15b2o$17bobo$17b2o$18bo9$bo$b2o$obo$3b2o$4b2o$3bo!
Attachments
Prepond stuff0.txt
(37.41 KiB) Downloaded 68 times
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
FWKnightship
Posts: 1464
Joined: June 23rd, 2019, 3:10 am
Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship » April 8th, 2021, 1:13 am

jimmyChen2013 wrote:
April 7th, 2021, 9:45 pm
what how

Code: Select all

x = 93, y = 98, rule = B3-q4ceky5aijqr6cei7/S2ace34ci5ck6ce78
46bo$45b3o$44b2ob2o$45b3o$46bo5$46bo$45b3o3$45b3o$46bo2$31bobo25bobo$
23bo8b2o25b2o8bo$19b2o12b2o23b2o12b2o$19b3o9b2ob2o9b3o9b2ob2o9b3o$19b
2o8b3o2b2o10bo10b2o2b3o8b2o$23bo7b3o11bobo11b3o7bo$45bobo$45b3o$45b3o$
46bo2$46bo$45b3o$45b3o$45bobo$23bo7b3o11bobo11b3o7bo$19b2o8b3o2b2o10bo
10b2o2b3o8b2o$19b3o9b2ob2o9b3o9b2ob2o9b3o$19b2o12b2o23b2o12b2o$23bo8b
2o25b2o8bo$31bobo25bobo2$46bo$45b3o3$45b3o$46bo2$25b2ob2o33b2ob2o$24bo
bobo35bobobo$21bobob2o3bo31bo3b2obobo$20b2obo4b3o15bo15b3o4bob2o$21bob
ob2o3bo14b3o14bo3b2obobo$24bobobo15b2ob2o15bobobo$25b2ob2o15b3o15b2ob
2o$46bo7$25b2ob2o33b2ob2o$24bobobo35bobobo$21bobob2o3bo31bo3b2obobo$
20b2obo4b3o31b3o4bob2o$21bobob2o3bo31bo3b2obobo$24bobobo35bobobo$25b2o
b2o33b2ob2o4$43b7o$44bo3bo$26b2o13b2o3bo3b2o13b2o$41b2o2b3o2b2o$25b3o
14bo7bo14b3o$10bo14b3o17b3o17b3o14bo$6b2o17bo19b3o19bo17b2o$2bo7bo12b
2obo19bo19bob2o12bo7bo$o10bobo8b3ob2o37b2ob3o8bobo10bo$2bo7bo12b2obo
39bob2o12bo7bo$6b2o17bo41bo17b2o$10bo14b3o37b3o14bo$25b3o37b3o2$26b2o
37b2o2$26b2o37b2o2$25b3o37b3o$10bo14b3o37b3o14bo$6b2o17bo41bo17b2o$2bo
7bo12b2obo39bob2o12bo7bo$o10bobo8b3ob2o37b2ob3o8bobo10bo$2bo7bo12b2obo
39bob2o12bo7bo$6b2o17bo41bo17b2o$10bo14b3o37b3o14bo$25b3o37b3o2$26b2o
37b2o!
3-engine 29c/228:

Code: Select all

x = 109, y = 172, rule = B3-q4ceky5aijqr6cei7/S2ace34ci5ck6ce78
26b3ob3o43b3ob3o$25b2ob3ob2o41b2ob3ob2o$28bobo47bobo2$26b2obob2o43b2ob
ob2o2$29bo49bo2$29bo49bo$28b3o47b3o2$28b3o47b3o$29bo49bo10$29bo49bo$
28b3o47b3o2$28b3o47b3o$29bo49bo2$29bo49bo2$26b2obob2o43b2obob2o2$28bob
o47bobo$25b2ob3ob2o41b2ob3ob2o$26b3ob3o43b3ob3o$12b2o81b2o$11bo85bo$
10b2o2bo79bo2b2o$bobobo3bo2b2o81b2o2bo3bobobo$obobobo5bobo79bobo5bobob
obo$bobobo3bo2b2o81b2o2bo3bobobo$10b2o2bo79bo2b2o$11bo85bo$12b2o81b2o
6$12b2o81b2o$11bo85bo$10b2o2bo79bo2b2o$bobobo3bo2b2o81b2o2bo3bobobo$ob
obobo5bobo79bobo5bobobobo$bobobo3bo2b2o81b2o2bo3bobobo$10b2o2bo79bo2b
2o$11bo85bo$12b2o81b2o$26b3ob3o43b3ob3o$25b2ob3ob2o41b2ob3ob2o$28bobo
47bobo2$26b2obob2o43b2obob2o2$10b2o17bo49bo17b2o$10b2o85b2o$7bo2b5o14b
o49bo14b5o2bo$2b2o3bo20b3o47b3o20bo3b2o$2b3o2bo7bo77bo7bo2b3o$2b2o3bo
20b3o47b3o20bo3b2o$7bo2b5o14bo49bo14b5o2bo$10b2o85b2o$10b2o85b2o6$10b
2o85b2o$10b2o85b2o$7bo2b5o79b5o2bo$2b2o3bo93bo3b2o$2b3o2bo7bo77bo7bo2b
3o$2b2o3bo93bo3b2o$7bo2b5o79b5o2bo$10b2o85b2o$10b2o41b3o41b2o$52bobobo
$53bobo$54bo$53b3o$53b3o3$8b2ob2o35b3o7b3o35b2ob2o$7bobobo36b3o7b3o36b
obobo$4bobob2o3bo33bobobo5bobobo33bo3b2obobo$3b2obo4b3o34b3o7b3o34b3o
4bob2o$4bobob2o3bo34b3o7b3o34bo3b2obobo$7bobobo85bobobo$8b2ob2o41bo41b
2ob2o6$54bo2$8b2ob2o35b3o7b3o35b2ob2o$7bobobo36b3o7b3o36bobobo$4bobob
2o3bo33bobobo5bobobo33bo3b2obobo$3b2obo4b3o34b3o7b3o34b3o4bob2o$4bobob
2o3bo34b3o7b3o34bo3b2obobo$7bobobo85bobobo$8b2ob2o83b2ob2o$53b3o$53b3o
$54bo$53bobo$52bobobo$53b3o39$54bo$53b3o2$53b3o$54bo2$54bo2$51b2obob2o
2$53bobo$50b2ob3ob2o$51b3ob3o!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 8th, 2021, 9:01 am

Yes, yes, yeeeeeeeeeeeeeeeeeeeeeeeeesssssssssssssssssssssssssssssssss!!!!!!!!!!!

Code: Select all

x = 68, y = 68, rule = B3-ky4jy5cr/S2-in3-aeky4nrt5ae6-ac
20b2o$19bobo$19b2o3b2o$24bobo$24bo$15b2o4b3o$14bobo4bo$14b2o3b2o2bo$19b
o$19bobo$16b3o$16bo$17bo2$60b2o$60bobo$28b2o26b2o3b2o$27bobo4b2o19bob
o$29bo4bobo20bo$30b3o2b2o21b3o4b2o$32bo27bo4bobo$30bo2b2o23bo2b2o3b2o
$34bo27bo$32bobo25bobo$35b3o25b3o$37bo27bo$36bo27bo$50bo$51bo$49b3o$24b
2o20bobo$18b2o4bobo21bo$17bobo4bo19bo2b2o$17b2o2b3o22bo$21bo22b3o2b2o
$19b2o2bo19bo4bobo$19bo21bobo4b2o$19bobo20b2o$16b3o$16bo$17bo$3bo27bo
$2bo27bo$2b3o25b3o$5bobo25bobo$5bo27bo$2o3b2o2bo23b2o2bo$obo4bo27bo$b
2o4b3o21b2o2b3o$10bo20bobo4bo$10bobo19b2o4bobo$5b2o3b2o26b2o$5bobo$6b
2o2$50bo$51bo$49b3o$46bobo$48bo$44bo2b2o3b2o$46bo4bobo$44b3o4b2o$43bo
$41bobo$42b2o3b2o$46bobo$46b2o!
Edit:

Code: Select all

x = 52, y = 52, rule = B3-ky4jy5cr/S2-in3-aeky4nrt5a6ekn
8bo$9b2o$8b2o$5bobo$5b3o$3b2obo$4b2o$3b2o$obo$b2o$bo4$23bo$24bo$22b3o
$19bobo$21bo$17bo2b2o$19bo$17b3o2b2o$16bo4bobo$14bobo4b2o$15b2o3$35b2o
$29b2o4bobo$28bobo4bo$28b2o2b3o$32bo$30b2o2bo$30bo$30bobo$27b3o$27bo$
28bo4$50bo$49b2o$49bobo$47b2o$46b2o$45bob2o$44b3o$44bobo$42b2o$41b2o$
43bo!
Edit 2: 5c/46d:

Code: Select all

x = 5, y = 4, rule = B3-ky4cjy5cr6e/S2-in3-aeky4cenqrt5an6ekn
2o$ob2o$bo2bo$2b3o!
Edit 3: 2c/44d:

Code: Select all

x = 3, y = 3, rule = B3-ky4cjy5cr/S2-in3-aeky4cnqrt5ai6ekn
b2o$3o$obo!
Edit 4: 2G collisions:

Code: Select all

x = 992, y = 209, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
18bo4bo3bobo3bobobo2bo3bo3bo3bo4bo4bobo21bo21bo17bo23bo16b2o2bo19bo18b
o18bo19bo18bo18bo18bo21bo18bo22bobo18bo14b2o20bobo16bo18bo22bobo14bobo
17bo22bo20bobo15bo20bo18bo22bo14bobo22bo14bobo18bobo16bobo18bo19bo21bo
18bo18bo21bo17bo19bo18bo22bo16bobo17bo$86bobo17b2o18bobo21bobo13bobo2b
obo15b2o18bo18bo20bobo16bobo15bo19bobo18bo18bo23b2o17b2o16b2o2bo16b2o
16bo19bobo20b2o15b2o18bobo19bo17b2o2b2o14b2o21bobo16bobo16bo2bo15b2o
18b2o2bo15b2o19b2o17b2o18bo19bo22bobo16bobo15bo21bo17bo19bo19bobob3o
16bobo14b2o18bobo$18bobo2bo2bo3bo4bo4bo3bo3bo3bobo2bo2bo25b2o19b2o17b
2o2b2o18b2o16bo2b2o13b2o2b2o17b3o16b3o18b2o17b2o16b3o17b2o19b3o16b3o
17b3o2bo18b2o14bo3bo18bo16b3o17b2o2b2o18bo16bo18b2o20b3o15bobo2bo15b2o
20b2o17b2o16b2o2b3o14bo19b2ob3o14bo20bo18bo18b3o17b3o20b2o17b2o16b3o
19b3o15b3o17b3o17b2o2bo18b2o16bo18b2o$129b2o16b2o38b2o179bo18b2o21b3o
57bobo14bo41b2o35bo40bo38bobo37bo83b3o158bo37bo19b3o$18bo2bobo2bo3bo4b
o4bobobo3bo3bo2bobo2bo2bobo22b2o19b3o19bo14b2o38bo19b3o17b3o18b2o18b2o
18b3o18b2o57bo18bobo37b3o20b2o19bo16b2o18b3o19bobo14b2o39bo19b2o18bo
38b2o40b2o16b3o17b2o22bo18b3o15b2o17b3o20bo17bo38b3o37b3o19b2o19bo$88b
obo18bo38bo59bo19bo17bobo17bobo20bo17bobo16b3o18b3o38bo39bo20bobo34bob
o20bo19bo16bobo37b2o18bobo18b2o37bobo40b2o17bo18b2o22bo17bo16b2o20bo
19b2o16b2o19b3o16bo41bo19bobo19bo$18bo4bo2bo3bo4bo4bo3bo3bo3bo4bo2bo4b
o22bo21bo96bo19bo20bo19bo19bo20bo18bo20bo77bo21bo58bo37bo39bobo37bobo
37bo41bo18bo18bo43bo17bo18bo20bobo15bobo18bo19bo39bo$327bo20bo539bo$
18bo4bo3bobo5bo4bo3bo3bo3bo4bo4bobo12$47bobobo2bo3bo2bobo23bo18bo21bo$
86bo19bobo17b2o$49bo4bo3bo2bo3bo20b3o17b2o19b2o2$49bo4bo3bo2bobo24bo
18b2o19bo$87b2o17bobo18b2o$49bo4bo3bo2bo3bo21bobo18bo18bobo2$49bo5bobo
3bobo12$30bobo3bo6bo3bobo4bobobo2bobo25bo40bo$65bo22bo40bo$28bo7bo6bo
3bo3bo2bo6bo26b3o38b3o$65bo61bo$28bo2bobo2bo6bo3bo3bo2bobobo2bobo22b2o
38b2o$87b2o37bobo$28bo4bo2bo6bo3bo3bo2bo6bo2bo21bo2$30bobo3bobobo2bo3b
obo4bobobo2bo3bo12$21bobo4bobobo2bobobo2bo3bo3bo3bo3bo2bobobo20bo21bo
18bobo17bobo18bo22bo$86bobo18bo19b2o18b2o17b2o22bo$21bo3bo2bo6bo6bo3bo
3bo3bo3bo2bo24b2o19b3o18bo19bo18b2o17b2o2b3o$186bobo$21bobo4bobobo2bob
obo2bobobo3bo3bo3bo2bobobo21b2o18bo18b2o18b2o21bo16bo$87bobo16b2o19b2o
17bobo19b2o$21bo3bo2bo6bo6bo3bo3bo4bobo3bo25bo18bobo17bo19bo21bobo2$
21bobo4bobobo2bobobo2bo3bo3bo5bo4bobobo12$48bobo5bo4bobo26bo15bobo$65b
o24bobo13b2o$47bo3bo3bobo3bo28b2o15bo$65bo20b3o$47bo6bo3bo2bobo22bo20b
2o$87bo20b2o$47bo3bo2bobobo2bo45bo2$48bobo3bo3bo2bo12$o6bobo3bo4bo4bob
o6bobo6bo4bobo6bobo3bobobo25bo$50bo38b2o$o5bo3bo2bobo2bo2bo10bo3bo3bob
o3bo6bo7bo28b2o$50bo36bo$o5bo3bo2bo2bobo2bo2bobo5bobo4bo3bo2bobo4bo2bo
bo2bobobo21b2o$86bobo$o5bo3bo2bo4bo2bo4bo5bo3bo2bobobo2bo2bo3bo4bo2bo
2$obobo2bobo3bo4bo4bobo6bobo4bo3bo2bo3bo4bobo3bobobo12$53bobo6bobo22bo
23bo$86bo23bo$53bo3bo2bo25b3o21b3o$107b2o$53bo3bo2bo2bobo21bo18b2o$87b
2o19bo$53bo3bo2bo4bo20bobo2$53bobo6bobo12$61bobobo21bo$88bo$65bo20b3o
2$63bobo$86b3o$88bo$87bo$63bo12$54bobo5bobo22bobo19bobo15bo20bobo17bo
17bobo$88b2o20b2o16bo20b2o15bobo17b2o$53bo3bo2bo27bo21bo15b3o20bo17b2o
18bo$107b2o$53bo3bo2bo2bobo20b2o18bobo18bo18b3o18bo19b2o$87b2o19bo18b
2o17bo19b2o19bobo$53bo2bo3bo4bo20bo39bobo18bo18bobo18bo2$54b2obo4bobo
12$46bobobo3bobo5bobo21b2o$87b2o$50bo2bo3bo2bo25bo4bo$89b2o$46bobobo2b
o3bo2bo2bobo24b2o2$46bo6bo2bo3bo4bo2$46bobobo3b2obo4bobo12$47bobo3bo3b
o2bo4bo20bobo$86b2o$45bo7bo3bo2bobo2bo21bo2$45bo2bobo2bo3bo2bo2bobo22b
2o$88bobo$45bo4bo2bo3bo2bo4bo22bo2$47bobo4bobo3bo4bo!
Edit 5: Period multiplier?

Code: Select all

x = 214, y = 241, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
101b2o$100b4o$100bo2bo$101b2o4$142b2o$141bob2o$141bob2o$142b2o3$122b3o
$121bo2bo$121b2ob2o4$125bobo$126b2o$119b2o3b4o6b3o$118b2o5b2o9bo$119b
2o14bo$120bo22$84bo$83bo$83b3o49b2o$134bo2bo$134b4o$135b2o31$48bo$47bo
$47b3o32$88bo$87b2o$12bo74bobo$11bo$11b3o2$213bo$212bo$211bobo$211bobo
$212bo$213bo7$b2o$ob2o$ob2o$b2o15$124bo$123b2o$123bobo25$179b2o$178bob
o$178bobo$179b2o$160bo$159bobo$158b2o$158bob3o$158bo3bo$158b3o$160bo$
164bo$163bobo$155b2o8b2o5b2o$154bo2bo3b3o9b2o$154bo2bo3b3o8bo$154b2ob
2o$156b2o17$131b2o$131bobo$131bobo$131b2o4$172b2o$171bo2bo$171b4o11$
70b2o$70bobo$71b2o3$75b2o$75bobo$76b2o!
Edit 6: A tub can split too!

Code: Select all

x = 68, y = 68, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
20bo$19bobo$20bo3b2o$24bobo$24bo$15bo5b3o$14bobo4bo$15bo3b2o2bo$19bo$
19bobo$16b3o$16bo$17bo2$60b2o$60bobo$28b2o26b2o3b2o$27bobo4b2o19bobo$
29bo4bobo20bo$30b3o2b2o21b3o4b2o$32bo27bo4bobo$30bo2b2o23bo2b2o3b2o$
34bo27bo$32bobo25bobo$35b3o25b3o$37bo27bo$36bo27bo$50bo$51bo$49b3o$24b
2o20bobo$18bo5bobo21bo$17bobo4bo19bo2b2o$18bo2b3o22bo$21bo22b3o2bo$19b
2o2bo19bo4bobo$19bo21bobo5bo$19bobo20b2o$16b3o$16bo$17bo$3bo27bo$2bo
27bo$2b3o25b3o$5bobo25bobo
$5bo27bo$2o3b2o2bo23b2o2bo$obo4bo27bo$b2o4b
3o21b2o2b3o$10bo20bobo4bo$10bobo19b2o4bobo$5b2o3b2o26b2o$5bobo$6b2o2$
50bo$51bo$49b3o$46bobo$48bo$44bo2b2o3bo$46bo4bobo$44b3o5bo$43bo$41bobo
$42b2o3bo$46bobo$47bo!
Edit 7: 2dG@180:

Code: Select all

x = 1015, y = 169, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
25bo4bo3bobo3bobobo2bo3bo3bo3bo4bo4bobo13bobo17bobo17bobo17bobo18bo6bo
18b3o16b3o18b3o11bo20bo17bobo17bobo19bo17bobo3b3o19bo19b2o17b3o10bobo
18bo18bobo19bo5b2o11bo20bo17bobo17bobo25bo13bo17bobo17bobo19bo19bo17bo
bo4bo12bobo4b2o13bo4b3o18bo19b2o10bobo18bo20bo17bobo17bobo18bo20bo24b
2o19bo19b2o18bo$87bo17b3o2b2o13b3o3b2o14bo3b3o13b2o3b2o11bobo4bo18bo
20bo14b2o19bo18bo19bo20bo3b2o13bo3bo14bo5b2o13bo5bobo16bo12b3o19b2o16b
3o2b3o15bo3b2o13b2o19bo16b3o19bo3bo20b2o14bo16b3o19bo20bo19bo16b3o3b2o
14bo4bobo13bo3bo19b2o18b2o13bo19b2o19bo18bo2b2o15bo3b2o14b2o3b2o14bo3b
3o10bobo4bobo17b2o18b2o18b2o$25bobo2bo2bo3bo4bo4bo3bo3bo3bobo2bo2bo15b
o2b2o15b2obo2b2o12b2obo3b2o11bo2b2o3bo14b2o4bobo12bo2b2o2bo14b2o2bo16b
2o2bo11b2o18b3o14bo2b2ob3o11bo2b2o2b3o13b3o3bobo8bo2b2ob2o2bo13b2o3bob
o13bo4bo11bobo2b2o2bo8b2obo19b2o2b2o11b2obo3bo15b3o2bob2o11b2o18b3o14b
2obo2b3o11bo2b2o2b2o20bobo11b3o14b2obo3bo12bo2b2o2b2o14b3ob3o13b3o2b3o
9b2obo4bobo9bo2b2o4bo13b3ob2o2bo17bobo16bob2o8bo2b2o18b2o18b3o14bo2b2o
2bobo10bo2b2o3bobo12b2o3b2o13b3o3bo14bo4bo19bobo16bob2o17bobo$85bo3b3o
12b2o2bob2o12b2o3bob2o12bo3b2o2bo9bobo4b2o11bo2b2o2bo14bobobo15bobo2bo
12bobo4bo14bo4b2o13bo3bo15bo4bo14bo6bo12bo3bo16b2o2b2o14b3ob3o14bo2bo
13b2o2b3o12bobo4bobo11b2o2b2o2bo12bo4b3o10bobo3b2o14bo4b2o12b2o3bo15bo
4bobo12bobo2b2o13bo18b2o3b2o14bo4bobo12bo4bo14bo5bo12b2o3b2o14bo3b3o
13bo4bo19b2o18b3o12bo3b2o12bobo4b2o13bo4b3o12bo4bo14bo5bo11bobo4bob2o
11bo4b2o2bo8bo2b2ob3o18b2o18b3o17b2o$25bo2bobo2bo3bo4bo4bobobo3bo3bo2b
obo2bo2bobo10b3o3bo13b2o2b3o13b2o3b3o12b3o3bo14b2o3b2o14bo4bobo14bobob
o15bo2bobo11b2o3b2o12bobo4bobo10b3ob2o2bo11b3o2b2o2bo10bobo3b3o11b3o3b
obo11bobo3b2o14bo4bo12bo2b2o2bobo10b2o3bo15b2o4bo12b2o3bo14bobo4bobo
11b2o3bobo11bobo3b2o12b2o2b2o2bo11b3o2b2o17bob2o12bobo3b3o11b2o4bobo
11b3o4bo12bobo2b2o2bo10bobo3b2o2bo9b2o3b2o13b3o3bo13bobo4bobo12bobob2o
15bo3bobo10b3o3bobo12b2o3b2o12bobo4bo12b3ob3o13b3o2b3o13b2o3b3o11bobo
4bo14bo3bo15bobob2o15bo3bobo16b2o$87b2o2bo15bobo18bobo18bobo12bo6bo11b
3o17bo2b2o15bo2b2o16bo4bobo12b2o4bo16bo20bo15b2o3bo34b2o5bo11bobo5bo
13bo20b2o2bo13bo2b3o18bobo13b2o18bo4bo14b2o2bob2o15bo19b2o14bo2b2o3bo
12b2o3bo17b2o18b3o14b2o2bo15b2o3bo20bo19bo13b2o19b3o3bo15b2o20bo14bo3b
ob2o12b2o2b2o2bo14bo20bo15bo4bobo12b2o4bobo10b3o4bo14b3o3bo15b2o16bobo
3bo$25bo4bo2bo3bo4bo4bo3bo3bo3bo4bo2bo4bo14bo117bo19bo21b2o18b3o17bobo
18bobo19bo33bo19b2o17b3o20bo20bo58b3o18b3o17bobo19bo15bo21b2o2bo14b2o
19bo20bobo18bobo71b2obo19b2o18b3o18b3o18bo19bo20bo73b2obo19b2o19bo$87b
obo113b3o17b3o20b2o19bo158bobo19bo57bo20bobo53b3o21bo20bo19bo115b2o17b
obo20bo20bobo18bobo113b2o17bobo17bo2b2o$25bo4bo3bobo5bo4bo3bo3bo3bo4bo
4bobo176bo19bo238bo99bobo153b2o19b2o21bo155b2o19b2o19bo$784bo199bo18b
3o11$37bobo3bo6bo3bobo4bobobo2bobo13bo21bo17bo$72bo11b2o21b2o2b2o11b2o
$35bo7bo6bo3bo3bo2bo6bo14bobo20b2o3bobo9bobo$72bo13b2o2bobo10bobo5bo
14b2o2bobo$35bo2bobo2bo6bo3bo3bo2bobobo2bobo16b2ob3o11b2o2b3o16b2ob3o$
86bo4bob2o9bo3bo17bo4bob2o$35bo4bo2bo6bo3bo3bo2bo6bo2bo20b2o15bo22b2o$
93b2o38b2o$37bobo3bobobo2bo3bobo4bobobo2bo3bo2$448bo5bo3bo3bobo4bobo
12bo4bobo21b2o18b2o28b2o18b2o39b2o5bo$484b2o3bo16bo6bobo17bobo27bobo
17bobo37bobo4bo$448bobobobo3bo2bo6bo3bo10bobo3b2o2bo13b2o4bo19bo22bo6b
o19bo41bo4b3o$486b2o3bo14b2o2b3o13bo3b3o24b2ob3o14bo2b3o43b3o4bo$448bo
2bo2bo3bo3bobo3bo18b2o2b3o9bobo4bo16b2obo25b2o2bo17bobo47bo4bobo$486bo
17b2o5bo14b2o3bo21bobo5bo14b3o2bo45bo5b2o$448bo5bo3bo6bo2bo3bo31bo18bo
bo28b2o19bo$524b2o28bo18bobo$448bo5bo3bo3bobo4bobo52bo49b2o2$28bobo4bo
bobo2bobobo2bo3bo3bo3bo3bo2bobobo20bo$92b2o$28bo3bo2bo6bo6bo3bo3bo3bo
3bo2bo16bobo4bobo$87bo2b2o$28bobo4bobobo2bobobo2bobobo3bo3bo3bo2bobobo
10bo2b2ob2o$85bo5bo$28bo3bo2bo6bo6bo3bo3bo4bobo3bo14b3o2$28bobo4bobobo
2bobobo2bo3bo3bo5bo4bobobo12$55bobo5bo4bobo22bo19b2o$72bo19b2o12bo5b2o
$54bo3bo3bobo3bo16bobo4bobo12b2o2bob2o$72bo12b3o2b2o14b2o2b3o$54bo6bo
3bo2bobo12b2obo2b2o12bobo4bobo$84b2o5bo12b2o$54bo3bo2bobobo2bo14b2o19b
o2$55bobo3bo3bo2bo12$60bobobo4bobo15bo$88bo$64bo2bo18b3ob2o$85bo4bobo$
60bobobo2bo2bobo10bobo4bo$84b2ob3o$60bo6bo4bo14bo$88bo$60bobobo4bobo
12$53bobobo2bobo6bobo21b2o9bo$93bobo8b2o$57bo2bo3bo2bo25bo9bobo$90b3o
13b2o$53bobobo2bo3bo2bo2bobo14bo2bo16b2o$88bo2bo14bo4bo$53bo6bo3bo2bo
4bo13b3o20b2o$85bo24b2o$53bobobo2bobo6bobo11bobo26bobo$84b2o26b2o$113b
o10$61bobo5bobo13bobo20bobo22bo10b2o5bo21b2o12bo15b3o3bobo12bo$87bo16b
2o2b3o21b2o9bobo3b2o22bobo12bo3b2o11bo3b3o12b2o4bobo$60bo3bo2bo15bo2b
2o2bo12bobo3bob2o19bobo10bo4b2o21bo12b3o2b2o10bo2b2o2bob2o9bobo4bo$85b
o3b2o14bo4b2o18b2o14b3o3bobo15b3o12bo4bob2o13bo3b2o13b2o2b2o2bo$60bo3b
o2bo2bobo10b3o3bobo14b3o2b2o12bobob2o17bo3b2o12bo3bo12bobo3b3o13bobo4b
2o13b2o3bo$87b2o19bo18bo3bo15bo5bo13b2o2bo12b2o3bobo34bo5b3o$60bo2bo3b
o4bo13b2o19bo15bo2b2o38b2o$88bo36bo37bobo$61b2obo4bobo51b3o38b2o$164bo
11$47bobobo3bobo5bo4bobo16bo$72bo15bo2b2o$51bo2bo3bo3bobo3bo17b3o2bobo
$72bo12bo5bo$47bobobo2bo6bo3bo2bobo12bobo2b3o$84b2o2bo$47bo6bo3bo2bobo
bo2bo20bo2$47bobobo3bobo3bo3bo2bo12$obobo2bo6bobo3bo4bo4bobo6bobo6bo4b
obo6bobo3bobobo12bobo$57bo27b3o$4bo2bo5bo3bo2bobo2bo2bo10bo3bo3bobo3bo
6bo7bo14b2obo$57bo26b2o3b2o$obobo2bo5bo3bo2bo2bobo2bo2bobo5bobo4bo3bo
2bobo4bo2bobo2bobobo10b2o3b2o$87bob2o$o6bo5bo3bo2bo4bo2bo4bo5bo3bo2bob
obo2bo2bo3bo4bo2bo17b3o$86bobo$obobo2bobobo2bobo3bo4bo4bobo6bobo4bo3bo
2bo3bo4bobo3bobobo!
Edit 8: P28:

Code: Select all

x = 20, y = 19, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
10b3o$9bo$9bo$10b3o4$8bo$ob2obobobo7b2o$bo2bo2bo2bo5bo2bo$2b2o4b2o6b4o
$17b2o4$9b2o$9bobo$9bobo$9b2o!
Edit 9: The P6 has a spark! (P6 found by bismuth, reaction found by me)

Code: Select all

x = 10, y = 11, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
bob2o$bobo$2obo6$8bo$7b2o$7bobo!
Edit 10: It's actually pretty robust.

Code: Select all

x = 8, y = 15, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
2bo$b2o2$2o$o8$5b2o$5bobo$5bo!
Edit 11: An unusual interaction:

Code: Select all

x = 16, y = 32, rule = B3-ky4jy5cr/S2-in3-aeky4cnrt5a6ekn
2obo2b4o2b3o$2b4ob7obo$bob2o7bo$b3obo2b2ob2ob2o$4o2b4ob3obo$2b3o3bo4bo
bo$2obobob3o2bo2bo$3o2bo5bob2o$2b5ob4obobo$b5o2bo2b4o$o2bo5b3ob2o$o10b
o2b2o$2o3bo3bo3b3o$3obob4obo2b2o$bo3b4ob3o$bo2bo2bobo5bo$bo2bo2bobo5bo
$bo3b4ob3o$3obob4obo2b2o$2o3bo3bo3b3o$o10bo2b2o$o2bo5b3ob2o$b5o2bo2b4o
$2b5ob4obobo$3o2bo5bob2o$2obobob3o2bo2bo$2b3o3bo4bobo$4o2b4ob3obo$b3ob
o2b2ob2ob2o$bob2o7bo$2b4ob7obo$2obo2b4o2b3o!
Edit 12: Lol (Edit 13: P3)

Code: Select all

x = 7, y = 7, rule = B1e2eik3acny4ackqwy5ijqy6c7e8/S1c2ikn3nqry4cktwy5aeknq6-c7e8
2o3b2o$o2bo2bo$3bo$b2ob2o$3bo$o2bo2bo$2o3b2o!
Edit 13: LOL WHAT HAVE I DONE

Code: Select all

x = 1, y = 1, rule = B1e2eik3cny4-eijnz5ijkqy6ck7e8/S12ikn3inqry4cktwyz5aeknr678
o!
Edit 14: Oops again (P4)

Code: Select all

x = 1, y = 1, rule = B1e2-ac3cknqr4-eijn5ciry6c7c8/S1e2-ce3enqry4ckty5aeknq6-ac78
o!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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KyYay
Posts: 5
Joined: April 10th, 2021, 10:24 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by KyYay » April 13th, 2021, 11:28 am

while messing around with non-totalistic rules i happened to find this pretty slow 2c/101o
it's somewhat common in the ruleset too, probably because of it's triangle frame/predecessor

Code: Select all

x = 5, y = 9, rule = B2ei3aijkr4ce5678/S1e347e8
2bo$2bo5$5o$bobo$2bo!
Last edited by KyYay on April 13th, 2021, 4:07 pm, edited 1 time in total.
the elementary giraffeship must become real!

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ihatecorderships
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Location: Falls Church, VA

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ihatecorderships » April 13th, 2021, 4:00 pm

p42 oscillator family of oscillators in the rule I call "Mirrors"
x = 95, y = 76, rule = B3-kq4j/S2-i34qSuper
56.2M$56.2M3$66.2M$66.2M$42.2M11.A$42.2M10.A8.3A$54.3A8.A$18.2M44.A$
18.2M32.2M$52.2M$41.A$28.2M10.A8.3A$28.2M10.3A8.A10.2M$4.2M11.A32.A
11.2M$4.2M10.A8.3A10.2M$16.3A8.A10.2M$26.A45.2M$14.2M56.2M$14.2M32.2M
11.A$3.A44.2M10.A8.3A$2.A8.3A46.3A8.A$2.3A8.A10.2M44.A$12.A11.2M32.2M
$2M56.2M$2M45.A$34.2M10.A8.3A$34.2M10.3A8.A10.2M$10.2M11.A32.A11.2M$
10.2M10.A8.3A10.2M$22.3A8.A10.2M$32.A44.2M$20.2M55.2M$20.2M32.2M$9.A
44.2M$8.A8.3A67.2M$8.3A8.A10.2M55.2M$18.A11.2M31.2M11.A$6.2M55.2M10.A
8.3A$6.2M32.2M33.3A8.A$40.2M43.A$73.2M$16.2M55.2M$16.2M32.2M10.A$50.
2M9.A8.3A$26.2M11.A21.3A8.A10.2M$26.2M10.A8.3A21.A11.2M$38.3A8.A9.2M$
48.A10.2M$36.2M55.2M$36.2M55.2M$25.A43.2M11.A$24.A8.3A33.2M10.A8.3A$
24.3A8.A10.2M33.3A8.A$34.A11.2M43.A$22.2M55.2M$22.2M55.2M$56.2M10.A$
56.2M9.A8.3A$32.2M11.A21.3A8.A10.2M$32.2M10.A8.3A21.A11.2M$44.3A8.A9.
2M$54.A10.2M$42.2M$42.2M$31.A43.2M$30.A8.3A33.2M$30.3A8.A10.2M$40.A
11.2M$28.2M$28.2M3$38.2M$38.2M!
-- Kalan Warusa
Don't drink and drive, think and derive.

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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » April 13th, 2021, 6:52 pm

ihatecorderships wrote:
April 13th, 2021, 4:00 pm
p42 oscillator family of oscillators in the rule I call "Mirrors"
x = 95, y = 76, rule = B3-kq4j/S2-i34qSuper
56.2M$56.2M3$66.2M$66.2M$42.2M11.A$42.2M10.A8.3A$54.3A8.A$18.2M44.A$
18.2M32.2M$52.2M$41.A$28.2M10.A8.3A$28.2M10.3A8.A10.2M$4.2M11.A32.A
11.2M$4.2M10.A8.3A10.2M$16.3A8.A10.2M$26.A45.2M$14.2M56.2M$14.2M32.2M
11.A$3.A44.2M10.A8.3A$2.A8.3A46.3A8.A$2.3A8.A10.2M44.A$12.A11.2M32.2M
$2M56.2M$2M45.A$34.2M10.A8.3A$34.2M10.3A8.A10.2M$10.2M11.A32.A11.2M$
10.2M10.A8.3A10.2M$22.3A8.A10.2M$32.A44.2M$20.2M55.2M$20.2M32.2M$9.A
44.2M$8.A8.3A67.2M$8.3A8.A10.2M55.2M$18.A11.2M31.2M11.A$6.2M55.2M10.A
8.3A$6.2M32.2M33.3A8.A$40.2M43.A$73.2M$16.2M55.2M$16.2M32.2M10.A$50.
2M9.A8.3A$26.2M11.A21.3A8.A10.2M$26.2M10.A8.3A21.A11.2M$38.3A8.A9.2M$
48.A10.2M$36.2M55.2M$36.2M55.2M$25.A43.2M11.A$24.A8.3A33.2M10.A8.3A$
24.3A8.A10.2M33.3A8.A$34.A11.2M43.A$22.2M55.2M$22.2M55.2M$56.2M10.A$
56.2M9.A8.3A$32.2M11.A21.3A8.A10.2M$32.2M10.A8.3A21.A11.2M$44.3A8.A9.
2M$54.A10.2M$42.2M$42.2M$31.A43.2M$30.A8.3A33.2M$30.3A8.A10.2M$40.A
11.2M$28.2M$28.2M3$38.2M$38.2M!
Sorry, that’s tMirrorlife (history)
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

hotdogPi
Posts: 1588
Joined: August 12th, 2020, 8:22 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotdogPi » April 15th, 2021, 5:32 pm

Unidimensional spaceship, 2c/36o, simple rulestring

Code: Select all

x = 11, y = 1, rule = B2-a3-ijnr4/S12i
ob2ob6o!
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,47,48,54,56,72,74,80,92,96S
217,486,576

S: SKOP
G: gun

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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 16th, 2021, 9:57 am

I ACCIDENTALLY R CREATES TRIPOLE

Code: Select all

x = 3, y = 3, rule = B3-kqy4t5a6n8/S234nt5e6i
o$3o$bo!
EDIT: Huh.

Code: Select all

x = 7, y = 12, rule = B3-ckqy4t5a6n8/S234nt5e6i
2b3o$bo3bo$o5bo$bo3bo$2b3o5$5bo$4bobo$4b2o!
Edit 2: Huh!

Code: Select all

x = 6, y = 9, rule = B3-ckqy4t5a6n8/S234nt5e6i
3o$obo$3o3$3b2o$2bo2bo$2bobo$3bo!
Edit 3: ???

Code: Select all

x = 3, y = 4, rule = B2i3-cqy4akt5a6n8/S234nt5eq6i8
2o$obo$obo$bo!
Edit 4: 6x6 checkerboard:

Code: Select all

x = 3, y = 4, rule = B2i3-cqy4ackt5a6n8/S234cnt5eq6ik7e8
2o$obo$obo$bo!
Edit 5: LOL

Code: Select all

x = 3, y = 4, rule = B2i3-ckqy4ckqt5er6n/S23-ek4ce5q6i7e8
2o$obo$obo$bo!
Edit 6: Hm.

Code: Select all

x = 24, y = 12, rule = B3/S237c
22b2o$22bo$20bobo$20b2o$10bo$9b2o4b2o$8b2o7bo$9b2o2bobobo$2b2o12bo$bo
bo$bo$2o!
Edit 7: P184:

Code: Select all

x = 29, y = 5, rule = B3-cey4-eiqyz5nqr6in/S2-ac3-cky4kqyz5k6en8
2bo23bo$o2bo21bo2bo$o2bo21bo2bo$o2bo21bo2bo$3o23b3o!
Last edited by wwei47 on April 18th, 2021, 1:40 pm, edited 1 time in total.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » April 16th, 2021, 9:21 pm

apgsearch sucks
gun

Code: Select all

x = 16, y = 16, rule = B38/S2-i3-a4ci6c78
bob2ob5ob2obo$3o3bobobob2o$3obo3bob2ob3o$4ob2o4bobo$4o2b2obo2bobo$7o4b
3obo$2bo5bo6bo$o2b3obo2bob2o$obo8b2o2bo$o2b2ob5obo$3b3o4b4o$b2o5b4obob
o$bobob2obo3bobo$4obobo4bo2bo$2obo2b2obo3bo$3b3o3bobo!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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wwei47
Posts: 1651
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 18th, 2021, 10:48 am

Code: Select all

x = 4, y = 5, rule = B3-ceky4aejntw5cijnq6ae7e/S2-ac3-ek4ejknqt5er6ei
bo$o2bo$o2bo$o2bo$b3o!
EDIT: P224 RRO-ish:

Code: Select all

x = 4, y = 5, rule = B3-ceky4-ejr5cr6-c/S2-ac3-ky4-artwy5e6i7e
bo$o2bo$o2bo$o2bo$b3o!
Edit 2: Rake for a (4,1)c/13:

Code: Select all

x = 4, y = 5, rule = B3-cek4-cijqr5er6ae/S2-ac3-eky4knz5e6ei
bo$o2bo$o2bo$o2bo$b3o!
Edit 3: This 4c/8's frontend is incredibly robust. If you look in soups, you'll see it moving for a while, then eventually breaking off.

Code: Select all

x = 9, y = 7, rule = B3-ceky4-ce5ijkqy6ik/S2-ac3-e4ikq5j6i
2bo$o4b3o$o2b4obo$o2bobo2bo$o2b4obo$o4b3o$2bo!
Edit 4: !!!

Code: Select all

x = 4, y = 5, rule = B3-ceky4-cejry5cr6aek7e/S2-ac3-cky4kz5r7e
bo$o2bo$o2bo$o2bo$b3o!
Edit 5: !!!

Code: Select all

x = 4, y = 5, rule = B3-cey4-cjq5qr6ac/S2-ac3-ceky4kqz5ce6ei
bo$o2bo$o2bo$o2bo$b3o!
Edit 6: P576 RRO:

Code: Select all

x = 4, y = 5, rule = B3-ce4anrtw5iqr6en/S2-ac3-cey4eiktz5k7e
bo$o2bo$o2bo$o2bo$b3o!
Edit 7: P532:

Code: Select all

x = 4, y = 5, rule = B3-ceky4-er5cejkr6i/S2-ac3-ceky4iktz5jr6in8
bo$o2bo$o2bo$o2bo$b3o!
Edit 8: Wow.

Code: Select all

x = 4, y = 5, rule = B3-ce4antwy5ijry6-k7e/S2-ac3-cek4ckyz5ck6e
bo$o2bo$o2bo$o2bo$b3o!
Edit 9: Breeder:

Code: Select all

x = 4, y = 5, rule = B3-ceky4-cekqy5cknry6-n7e/S2-ac3-y4cijktz5r6e7e
bo$o2bo$o2bo$o2bo$b3o!
Edit 10: I've been tracking the prepond in this rulespace (2^31 rules) by hand until the results work in at most 2^20 rules each. The first non-diehard result is this conversion to two long ships:

Code: Select all

x = 3, y = 3, rule = B3-eny4aeiy5ay6-an7c/S2-n3-aey4eijnqty5ajk6ack7c8
bo$2o$2bo!
After splitting the rulespace into tiny pieces, I plan to feed each piece into RandSeeker, and post the results one-by-one.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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creeperman7002
Posts: 299
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by creeperman7002 » April 21st, 2021, 11:39 am

It turns out that any even period can be constructed in any rule supporting Margolus oscillators:

Code: Select all

x = 360, y = 124, rule = B36/S125
229b2o$229b2o$229b2o$229b2o$225b4o2b4o$225b4o2b4o$223b2o4b2o4b2o$223b
2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o
$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b
2o4b2o$223b2o4b2o4b2o$211b12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o$211b
12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o$211b12o2b4o
2b4o2b12o$211b12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o$203b8o12b2o4b2o4b
2o12b8o$203b8o12b2o4b2o4b2o12b8o$201b2o8b12o2b4o2b4o2b12o8b2o$201b2o8b
12o2b4o2b4o2b12o8b2o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o$199b2o2b8o12b2o
4b2o4b2o12b8o2b2o63b6o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o63b6o$199b2o2b
8o12b2o4b2o4b2o12b8o2b2o61b2o6b2o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o61b
2o6b2o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o59b2o2b6o2b2o$193b6o2b2o8b12o2b
4o2b4o2b12o8b2o2b6o53b2o2b6o2b2o$193b6o2b2o8b12o2b4o2b4o2b12o8b2o2b6o
51b2o2b2o6b2o2b2o$191b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o49b2o2b2o6b
2o2b2o$191b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o49b2o2b2o6b2o2b2o$191b
2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o49b2o2b2o6b2o2b2o$140b6o45b2o6b2o
2b8o12b2o4b2o4b2o12b8o2b2o6b2o49b2o2b2o6b2o2b2o$140b6o45b2o6b2o2b8o12b
2o4b2o4b2o12b8o2b2o6b2o49b2o2b2o6b2o2b2o$138b2o6b2o43b2o6b2o2b8o12b2o
4b2o4b2o12b8o2b2o6b2o43b6o2b2o2b6o2b2o2b6o$138b2o6b2o37b6o2b6o2b2o8b
12o2b4o2b4o2b12o8b2o2b6o2b6o37b6o2b2o2b6o2b2o2b6o$138b2o6b2o37b6o2b6o
2b2o8b12o2b4o2b4o2b12o8b2o2b6o2b6o35b2o6b2o2b2o6b2o2b2o6b2o$67b2o69b2o
6b2o35b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b
2o6b2o$67b2o69b2o6b2o35b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o
33b2o6b2o2b2o6b2o2b2o6b2o$67b2o69b2o6b2o35b2o6b2o6b2o2b8o12b2o4b2o4b2o
12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$67b2o63b6o2b6o2b6o29b2o6b2o
6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$67b2o
63b6o2b6o2b6o29b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o
2b2o6b2o2b2o6b2o$67b2o61b2o6b2o6b2o6b2o27b2o6b2o6b2o2b8o12b2o4b2o4b2o
12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$67b2o61b2o6b2o6b2o6b2o27b2o
6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$
36b6o25b2o61b2o6b2o6b2o6b2o27b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o
6b2o33b2o6b2o2b2o6b2o2b2o6b2o$36b6o17b8o2b8o53b2o6b2o6b2o6b2o27b2o6b2o
6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$34b2o
6b2o15b8o2b8o53b2o6b2o6b2o6b2o27b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o
6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$34b2o6b2o15b8o2b8o53b2o6b2o6b2o6b2o
17b10o2b6o2b6o2b2o8b12o2b4o2b4o2b12o8b2o2b6o2b6o2b10o23b2o6b2o2b2o6b2o
2b2o6b2o$34b2o6b2o15b8o2b8o53b2o6b2o6b2o6b2o17b10o2b6o2b6o2b2o8b12o2b
4o2b4o2b12o8b2o2b6o2b6o2b10o23b2o6b2o2b2o6b2o2b2o6b2o$34b2o6b2o11b4o8b
2o8b4o49b2o6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b
2o6b2o10b2o21b2o6b2o2b2o6b2o2b2o6b2o$34b2o6b2o11b4o8b2o8b4o27b8o14b2o
6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o10b2o
7b14o2b6o2b2o2b6o2b2o2b6o2b14o$7b8o19b2o6b2o9b2o4b8o2b8o4b2o4b16o5b8o
14b2o6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o
10b2o7b14o2b6o2b2o2b6o2b2o2b6o2b14o$4o3b8o3b8o8b2o6b2o9b2o4b8o2b8o4b2o
4b16o5b8o14b2o6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o
6b2o6b2o10b2o5b2o14b2o6b2o2b2o6b2o2b2o6b2o14b2o$4o3b8o3b8o8b2o6b2o9b2o
4b8o2b8o4b2o4b16o5b8o14b2o6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o12b2o4b2o
4b2o12b8o2b2o6b2o6b2o10b2o5b2o14b2o6b2o2b2o6b2o2b2o6b2o14b2o$7b8o19b2o
6b2o9b2o4b8o2b8o4b2o4b16o5b8o14b2o6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o
12b2o4b2o4b2o12b8o2b2o6b2o6b2o10b2o7b14o2b6o2b2o2b6o2b2o2b6o2b14o$34b
2o6b2o11b4o8b2o8b4o27b8o14b2o6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o12b2o4b
2o4b2o12b8o2b2o6b2o6b2o10b2o7b14o2b6o2b2o2b6o2b2o2b6o2b14o$34b2o6b2o
11b4o8b2o8b4o49b2o6b2o6b2o6b2o15b2o10b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o
2b2o6b2o6b2o10b2o21b2o6b2o2b2o6b2o2b2o6b2o$34b2o6b2o15b8o2b8o53b2o6b2o
6b2o6b2o17b10o2b6o2b6o2b2o8b12o2b4o2b4o2b12o8b2o2b6o2b6o2b10o23b2o6b2o
2b2o6b2o2b2o6b2o$34b2o6b2o15b8o2b8o53b2o6b2o6b2o6b2o17b10o2b6o2b6o2b2o
8b12o2b4o2b4o2b12o8b2o2b6o2b6o2b10o23b2o6b2o2b2o6b2o2b2o6b2o$34b2o6b2o
15b8o2b8o53b2o6b2o6b2o6b2o27b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o
6b2o33b2o6b2o2b2o6b2o2b2o6b2o$36b6o17b8o2b8o53b2o6b2o6b2o6b2o27b2o6b2o
6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$36b6o
25b2o61b2o6b2o6b2o6b2o27b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o
33b2o6b2o2b2o6b2o2b2o6b2o$67b2o61b2o6b2o6b2o6b2o27b2o6b2o6b2o2b8o12b2o
4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$67b2o61b2o6b2o6b2o
6b2o27b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b
2o6b2o$67b2o63b6o2b6o2b6o29b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b
2o33b2o6b2o2b2o6b2o2b2o6b2o$67b2o63b6o2b6o2b6o29b2o6b2o6b2o2b8o12b2o4b
2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$67b2o69b2o6b2o35b2o6b
2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$67b
2o69b2o6b2o35b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o6b2o33b2o6b2o2b
2o6b2o2b2o6b2o$67b2o69b2o6b2o35b2o6b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b
2o6b2o33b2o6b2o2b2o6b2o2b2o6b2o$138b2o6b2o37b6o2b6o2b2o8b12o2b4o2b4o2b
12o8b2o2b6o2b6o35b2o6b2o2b2o6b2o2b2o6b2o$138b2o6b2o37b6o2b6o2b2o8b12o
2b4o2b4o2b12o8b2o2b6o2b6o37b6o2b2o2b6o2b2o2b6o$138b2o6b2o43b2o6b2o2b8o
12b2o4b2o4b2o12b8o2b2o6b2o43b6o2b2o2b6o2b2o2b6o$140b6o45b2o6b2o2b8o12b
2o4b2o4b2o12b8o2b2o6b2o49b2o2b2o6b2o2b2o$140b6o45b2o6b2o2b8o12b2o4b2o
4b2o12b8o2b2o6b2o49b2o2b2o6b2o2b2o$191b2o6b2o2b8o12b2o4b2o4b2o12b8o2b
2o6b2o49b2o2b2o6b2o2b2o$191b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o49b2o
2b2o6b2o2b2o$191b2o6b2o2b8o12b2o4b2o4b2o12b8o2b2o6b2o49b2o2b2o6b2o2b2o
$193b6o2b2o8b12o2b4o2b4o2b12o8b2o2b6o51b2o2b2o6b2o2b2o$193b6o2b2o8b12o
2b4o2b4o2b12o8b2o2b6o53b2o2b6o2b2o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o59b
2o2b6o2b2o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o61b2o6b2o$199b2o2b8o12b2o4b
2o4b2o12b8o2b2o61b2o6b2o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o63b6o$199b2o
2b8o12b2o4b2o4b2o12b8o2b2o63b6o$199b2o2b8o12b2o4b2o4b2o12b8o2b2o$201b
2o8b12o2b4o2b4o2b12o8b2o$201b2o8b12o2b4o2b4o2b12o8b2o$203b8o12b2o4b2o
4b2o12b8o$203b8o12b2o4b2o4b2o12b8o$211b12o2b4o2b4o2b12o$211b12o2b4o2b
4o2b12o$211b12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o
$211b12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o$211b12o2b4o2b4o2b12o$223b2o
4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$
223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$223b2o4b2o
4b2o$223b2o4b2o4b2o$223b2o4b2o4b2o$225b4o2b4o$225b4o2b4o$229b2o$229b2o
$229b2o$229b2o!
Is this fact already known?
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856

GUYTU6J
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by GUYTU6J » April 21st, 2021, 11:48 am

creeperman7002 wrote:
April 21st, 2021, 11:39 am
It turns out that any even period can be constructed in any rule supporting Margolus oscillators...
That's quite a wild claim. What steps can I follow in order to construct a period-2n Margolus oscillator? I'm curious about the case of prime numbers.

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creeperman7002
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by creeperman7002 » April 21st, 2021, 12:08 pm

GUYTU6J wrote:
April 21st, 2021, 11:48 am
That's quite a wild claim. What steps can I follow in order to construct a period-2n Margolus oscillator? I'm curious about the case of prime numbers.
We can start at the base case, n = 1:

Code: Select all

x = 4, y = 2, rule = B36/S125
4o$4o!
Then we can double the period by inflating the oscillator by a factor of 2. This solves all cases where n is a power of 2.

Code: Select all

x = 24, y = 5, rule = B36/S125
10bo$11bo4b8o$4o3b6o3b8o$4o7bo4b8o$10bo5b8o!
Given a row of 2^p or 2^p-2 margolus cells, then the period is 2^(p+1)-2. For p = 2, the period is 6. This solves all cases where n is a Mersenne number:

Code: Select all

x = 64, y = 52, rule = B36/S125
4$16b2o$15bo8b8o$15b3o6b8o$15bo2bo$16b2o9$13bobobo$12b2obobo$13bob4o5b
16o$13bo3bo6b16o$12b3o2bo22$11b2o3b2o$13bobo2bo5b32o$12bo2bo2bo5b32o$
13bobo2bo$11b2o3b2o!
Now the minimum unsolved n is 5. To solve it, we need to find the smallest p such that 2^n-1 is divisible by 5. In this case, the minimum p is 4, meaning we start with a row of 16 margolus cells:

Code: Select all

x = 32, y = 2, rule = B36/S125
32o$32o!
Set the paste mode to XOR and paste the starting pattern at its original spot every 2n generations. Stop pasting when you reach the 2^(p+1)-2nd generation. For n = 5, we stop at 30 gens and get this:

Code: Select all

x = 32, y = 30, rule = B36/S125
14b4o$14b4o$14b4o$14b4o$14b4o$14b4o$8b6o4b6o$8b6o4b6o$6b2o6b4o6b2o$6b
2o6b4o6b2o$4b2o2b6o4b6o2b2o$4b2o2b6o4b6o2b2o$4b2o2b6o4b6o2b2o$4b2o2b6o
4b6o2b2o$4o2b2o6b4o6b2o2b4o$4o2b2o6b4o6b2o2b4o$4b2o2b6o4b6o2b2o$4b2o2b
6o4b6o2b2o$4b2o2b6o4b6o2b2o$4b2o2b6o4b6o2b2o$6b2o6b4o6b2o$6b2o6b4o6b2o
$8b6o4b6o$8b6o4b6o$14b4o$14b4o$14b4o$14b4o$14b4o$14b4o!
If it doesn't work, remove 2 margolus cells and try again. This solves all n.
Last edited by creeperman7002 on December 31st, 2021, 8:50 pm, edited 3 times in total.
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856

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wwei47
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 21st, 2021, 1:34 pm

P176 RRO gun:

Code: Select all

x = 4, y = 5, rule = B3-cek4-ikqr5ijkqr6ak7e/S2-ac3-eky4kq5ek6ei
bo$o2bo$o2bo$o2bo$b3o!

Code: Select all

x = 6, y = 18, rule = B3-cek4-ikqr5ijkqr6ak7e/S2-ac3-eky4kq5ek6ei
3b2o$3ob2o$b4o$b3o11$2b3o$b4o$2ob3o$b2o!

Code: Select all

x = 18, y = 18, rule = B3-cek4-ikqr5ijkqr6ak7e/S2-ac3-eky4kq5ek6ei
9b2o$6b3ob2o$7b4o$7b3o3$bo14bo$3o11b3o$ob2o10b3o$b3o10b2obo$b3o11b3o$b
o14bo3$8b3o$7b4o$6b2ob3o$7b2o!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

ENORMOUS_NAME
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ENORMOUS_NAME » April 21st, 2021, 8:19 pm

4 cells to 5592

Code: Select all

x = 3, y = 2, rule = B2e3i4an5i6a7e8/S23-aq6k
bo$3o!

https://www.conwaylife.com/forums/viewt ... 34#p111934

Code: Select all

x = 12, y = 5, rule = Symbiosis
10.B$10.A$3A6.A.A$A.A7.A$A.A7.B! 

Code: Select all

x = 10, y = 13, rule = Symbiosis
BA$.A$2.B2$3.B$3.A$3.A$2.B2A2.2A$4.A2.A.A$.B2A3.A$2.A$2.A$2.B! 

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wwei47
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 21st, 2021, 10:48 pm

Hm.

Code: Select all

x = 8, y = 21, rule = B3-ceky4acijntw5cnqry6-ek7e/S2-ac3-ek4knqz5ckr6en
3b3o$3bo2bo$3bo$3bo3bo$bobo3bo$2b2o3bo$o2bo2bo$bobobo$3bo$3bo3bo$bobo
3bo$2b2o3bo$o2bo2bo$bobobo$3bo$3bo3bo$bobo3bo$2b2o3bo$o2bo2bo$bobobo$
3bo2bo!
The rule is slightly explosive, here's an example soup and a c/24d:

Code: Select all

x = 4, y = 3, rule = B3-ceky4acijntw5cnqry6-ek7e/S2-ac3-ek4knqz5ckr6en
obo$4o$2bo!

Code: Select all

x = 145, y = 140, rule = B3-ceky4acijntw5cnqry6-ek7e/S2-ac3-ek4knqz5ckr6en
2bobob2o2bo2bo2b2o3bo6bobobo2bo5b2obo2b2obo2bob2o4b8o2b3o2b2obo6bo3bob
4o2b2o3b5o2b2ob4ob2o3bob2o3bo2bobo2b5o$2obobo3b2obo4b2o2bobo6b5o2bo2b
2o2b2ob3o6bo2b2o2bob4obo2b5obo2bo2bob2obobob2ob3ob2o2bob3ob3ob4ob2ob2o
3bobobo2b3o3bobo$2o3b2o4bo2bob4obob3ob3ob4o3b2ob2o2b4obobob3o3bo2bobob
o2b2obobob8obobob2obob3ob2ob3obo2b2ob2obo3bo2b2obobo4b3o2bo2bo$2o2bobo
b3obo3b2obo7bob3obobobo4bo2b2obo4bo3b2ob2o3bo3b4ob4obob3o5bo2bobo4bo2b
2o2b2ob2o2bob2obobob2o3b3o6bo3bo2bo$3b7ob3obob2o2b2o2bobobo3bobo3bo5bo
3b5o3b5o4b2o2b5o3bo5bobo5bobo2bo2b2o4bob2o5bob3o3b4o7b3o4bo$b2o4b3o3bo
b7obo2bo2b2obobo2b2o2bob2o3bobo5b2o2bo2b2o2bo3b3o4b2obob2obob2obobobo
2b2o2b4o3bob2obo2b2obo2b3obo5b2o3bo5bo$3b5ob3obo5b3o2bob2o3b2o2bob2o3b
6ob2o3bobo2bo2b2o4b2ob2o2b5o3bo3b4o2b2o3b2obo2b2obo2b5o3b5ob4obo2bob3o
b2obo2bo$b3o4bo2bobob2ob2o4bo4bo3bo2b8obobob3obo3bo2bo2bo2b2o4b2o2b3o
3bo3bobo2b3obob2obo3b3ob4o2bobob2ob3o4bob2obobobo2bo3bo$2b2obob4obo3b
4ob3obob2o3bobo3bob2ob11o2bobob2obo3b2o2b2ob2o2b2obobobo2bob4o3bo3bo2b
2o2bo3b3o5bo2b2o3bo2b3o3bo2bobo$2ob2obo3bo2bobobob4o2b2o3b4obo2b2obo3b
o2bobo3bobobob3obo2b2o3b2ob2o3bob3o3b2o3b3o2b3o2bo3bo2bo3b2obo3bo3b2o
4bo3b2o2b6o$ob3obo5bo2b2o3bob2obo2b2obob2o2bo6b2ob7obob2obobob2ob4o3bo
b2obo5bob2o3b2obo2b2ob2o8b4o2bo4bob2o2b2o2b3obo2bob3o$ob2obo2bob2o2b2o
4bobo2b2o2bo2b5o5b2ob2obob2obobo2b8o5bobobo2bo5b2ob4o2b4o6bobob4o4b2ob
o3b2obob2ob3o2b4obob2o$2b2o2b2o3b3o2bobo4b2ob2o3b2obobobobobob4obo3bo
2bob3ob2ob4o3b4o2b4obobo3bo2b3o6bo2bobo3b6o2bo2bob2o5bo2bob2ob3obobo$o
b5o3b4o2b2ob5o3bo3bo2bobo4b3o2bob4obo4bobobo2b2o3b3o6b2obobo2bob4obobo
2b2o2b2obob2o3b5ob2obob2ob3obob2obobob3obo$b2ob2ob2ob3obo2bobo5bob2obo
8bo2b5o2b5o2bobo5b2o2bob3o2bo4b5ob4o4b2obo3b5o2bob2ob3o2b3obo2bo3b2obo
bo2bobo2b3o$3bo3b2obo7b4o3bob3o6bo3b6obo2b5ob2o2bo3bo4bob2o3bobob3o2bo
bo2bo2b2o4bo2b6obo3b4o5bob2obo9bobo2bobo$o5bobob2o2bo4bo2b3o3b2o2bo2b
2o2b2ob2o2b2ob3o4b2o4bob2obo2bo3bo2b6obob2obobobo2bobo8bo3b2ob4o7bo2bo
2bo2bo3b5obo$bo2bo2bo4b2o4b4ob2o3bo4bob2ob2obob2ob2obo2b2o6bo2bo2b4ob
6ob4ob2o9bo3b2ob3obo3bobo6b3o7bo6bobob6o$3obo2b3ob3o2b2o2b5o3bo3bo3b2o
bobo3bobobobo5b6ob5ob4ob3ob2o4bo4b3o2bo2bob2obobo3bo2bobo2bob2obo3bo2b
2obo4bo3bobo$b8obob8obobob2o2b4ob2o3b7o3b3ob2o3bob2o2b2obob2obob5o3b2o
b3obo2bobo3bobo3b3obob2obob4o2b4o3b4o4bo2b3obo$2o2b3o2bo2bobobob3ob3ob
o5b4o4bob3ob5o2bo2bob5o3b2o4bo2b5obo3b3o2b3o2bo5b5o2bo4bobobo2b2obob2o
bob4obo2b4o2bo$o2b3obo2b2ob5ob2obo4b6ob2o2bobob3o2b2ob4ob3o5bo2bobob4o
bob4o3bobobo4b2o2bob2ob3obo2b3o2bob3o3b3o3bo6b3o2bo$bob2o6b3o4bob7o2b
2o2b2o2bob3ob2obob2obo3bob2ob2obobo2bobob2ob2o4bo2b2o6bo2b2o6b4obo3b2o
bobobo3b3o3b3ob3o4b5o$5b2ob3ob3o4b2o8b2ob2obobo3bobobo3b4obob5o2b3obo
2bobo2b2obobob2ob2o2bobobo2b3obo2b6o3bo4bo6b2o2b2o2b3o9bo$b4ob3o2b2o3b
4obo2b2o3bo2bo4b4o3bo6b2o2b4obobo3b4ob4o3b3o2bo2bo3b2ob4o2bobob2o2bo6b
obob2o6b4ob3ob2o2bo$3o2bo4b2ob4o3bo4bo2bo4bo2b3o4bo3bo2b2o5bobo2b2ob3o
bobobo3b2ob2obo4b2o3bo2b2o4b2o3b2ob3o2b2ob4o2bob2o3bobo2b2o3b2obo$ob2o
bobobo3bo2bo2b3obo5b3o2bo4bo2b4ob5obo3bo3b2o3bobob6obobobobo2b2obob2ob
o2bobob4o3bo4b2o3bo2bo3b2o2b3obob2ob2ob2o$2b2o2b2obobobo2bo4bo3bo2bo2b
ob2o7bo2b4obo5b2obobo4b2obo2bo2b3o3b3o5b2obobo3b2o2b2ob3o3bo3bo3bo3b2o
2b2o2bo10bo$obo5b2o2b2o3b2o2bo3b2obo3bo3b3o2bo2b2obobob4obo6b3obo2b2o
5b2ob2o2bob2o3bobob6ob2o2bo2b5obo2bo5b6o2b2o2bob3obobo$4bo2b2o2b2o3b2o
3bobob2obo2bobob3o3b3o2b2o2bo2bo2b3obo8b2ob2o3bob3o2bob9ob2o3bobobobo
2bo5b5o8bob2obobo2bo2b3o$bo3b3o3bo2bo2b3ob2o2bo3bo5b3o6bo2b3ob4ob4obob
2ob5ob2o3bo2bob2o2bob3ob6ob3o2b2obob2o2b2o2b4o3b2o2bo2bobobo2b3ob2o$bo
3b3o4bo4b3obobo2bo2bo3b2ob3o2b2ob3o2b3obo5b3o2b3obo3b4o2b3ob3ob2o2b3o
2bobobobob4obob3obobobo2bo2b2ob2o3bob4ob2ob2o$3o2bobo3bobob3o2b4o2bo2b
o3bob2ob2obo5b3ob3obo2b2obo2bo3bo2bob8o4b5o2bo2b2o3bo3bob2o2bob4o2b2o
6b2o3b3ob3ob6o$2ob3o3bobo6bobo5b2o3b3ob2o3b4ob3obobo3b2o4b4ob11o2bo2b
7o2bo4b2o2bob3o5b4ob3o4bo2bo3bo5bob2o2bobo$2ob5o3bobo4b4o2b4o3b2obob2o
4b2obo2b3o4bobobobo3b4o3b2ob2o2b3ob3ob8obo2b2obo2b2o2b3obo2bobob7obobo
bobobobo2bobo$bo4bob2o2bo2bobo5b2o3b2ob3o2bo2bob3o2bob2ob2ob2obo2b2ob
4o7b3ob4o3b4o2b2o3b2o2bo2b2obo3bo3b2o3b2obob3o2b3o3bob3obob2o$o3bo2bob
o3bo3bob2o3bo3bo2b3o3bob2o2bob2obob7o3bo4b2ob2o3b2ob2obo4b4ob5o2b5ob3o
bo3b2obo5b2o2b2o2bo2b3o2bo2bob2ob2o$ob3o2b3ob2o4b2o9bo2b3o4b2obob2ob2o
3b2o3b2ob2o7bobo2b2obob2o3bo4bob3ob3o3b2obob4obobobo7bobo4b2o3bobo5b2o
$2b2o2bo2b4o2bo2b2o2b2o2bo2b6o3bobob2o2bob4o3bob2ob2ob2ob3ob10ob4o4bo
2bo2b8ob6ob5o2bobo10bo5bob2o2bo$2o3bo2bobo2bo2b4o4bo2b6obob2obobob2ob
2obobob3o2bo5bo2b2obob2o3bobobo2bob2obobobobo6bobobobo2bob3o4bob2o3b2o
2bo2b2o4bobo$2obo5b2obo2b5o5b3ob2o2b6o2b7ob3o2bo4bob3ob2obo2bo3bobo2bo
bo3b4o2b3o2bobo2bob4obo2b2o2bo2b4o2b4obobo2bo2b2o2bobo$o3bo2bobob2o5b
3o2b2ob2o2bob2o3bobob2obob2o3b3obo3b2ob3o2b5obo5bo2bo3bob4obob2o2b4o2b
6o2bobob4obo3b2ob3o2bo3bob2obo$obob2obobob2ob3obob2obo3bob2o2bo3bob2o
3bo2b2obo2b3ob8obobobo4bob2o2b2obo2b4o2bo4bo6b3o5bob2obobobobo2b3o2b3o
2bobob3o$2bo2bobobobob3o2b2o2b3o2bo2b4o4bobob5ob3ob3ob2o4b3ob3obo4bob
2ob2o2b2obobo5bobob2o2b2o6b3o2b4obo2bob5obo2bo4b5o$bobobobobob5ob3obo
2bob3obo6b3obobo2b5ob2o2b2ob2obobobo2b5o2bob2obob2o2bo2bobobob4obob2ob
o2bob2o2b5o2b6o2bo9bob2o$4o2bobo2b3ob3o2bo2bo3bobo3bob2o2b3o4bo2bo2b2o
3b2ob4o2b2ob2ob5o3b2ob3o3b3o2bobo3b2o3b3obo5bobo6b2obo2bob2obob2ob4o$
2obobo4bobobo3bob2o2bob2obobo2b2ob4o2b2o3bo3bo3b3ob2ob2o2bo2bob2obobo
2bo2b2o3bo6b3ob2o3bo3b2o2bobobobo2bo2b2o7bob2o4bo2bo$o4b4obobob2ob6o2b
o2bob2ob2obobob2o2bo6b2obobo2bo2bob4ob4o2b2o2b5obobobob2o2b2o3b2obobob
ob2ob2o4bo4b2obobo2b3ob6o2bo$3obob3obo3b2o3bob2obo2b4ob2o3bo3b3o3bobob
ob2o6bobob2ob2o2b4ob2ob2ob2obob3o3b2obobo3bo3bo2bob4ob4ob2obo5bob3o2b
5obo$5o2b2obo3bob2o3b3o2bobo3bobob3obob3o2b2ob2obob2ob2o2b3o2b2obo2b7o
3bob2obobobo2b4o3b3obobo2b2o2bob4o2bo3bobo2b2o3bo2bo3bo$3b2o3b3o2bo4b
2ob2obo2b3o4b2o3bobo2b3o2b3o2b3ob2ob2o6b2ob5o2bo6bo2bob2o3b4ob3ob2o2bo
2bobo2bo2b3ob2obob3o7bo2b2o$2bobo2bob2o2bo3bob2obob2o2bo3b2ob3ob3o4b2o
b7o2bob2obo3bobob4obo2bob3ob6o2bo3bo2bobo2b2obo2bo2b3o2bo4b2obob2o2b2o
bobo3b3o$3o2b2o5bo4bo2b3o3b3o3bobo4b4ob2o4b2o2bo4bo2bobob3obo3bobo2bo
3bo2bo4b6obo2b4o5b2obobob3obob2o4b4o6b5o$o2b2o2bo2b4obobo3bob3o2bo4b2o
6bob6ob2o2b2o2b2o2b4ob3o5b4obob2obo4b2obobob2obobob2obob2ob2obobobob3o
2bo2b3o2bobob4obo$bo3b2obob4ob2o3b3o2bo2bo8b2ob3o2bobob3o3bobobob2ob2o
bob2obob2ob5o2bob2o3b2ob2o4bo2b2o5bo3bob4obo2b2obobo2bob2o4bob3o$o2b2o
bobo2bobo2b4ob2ob3ob2o2bob3o2bobob3o3b4o2bob4ob3o4bobo6b2obo2b3o2b5ob
8o3b5obob4o3bo4b3obob2obob4ob2o$3o3b2obo4bobob9o2bob2obob9ob4o3b4ob3o
2b5o2bo7b4o2b2o2b2ob3ob2o2bo2bo5bo2bobob3o2bobo4bobob3o4bo2b4o$b2o4bob
2o2bo3bob2obo2b2o7b5o3b2obob4o3bob6obo2bobob10ob3o7bobo5bob2o4bo4b3ob
3ob2obo2bo2bobo2b2o3b4o$b2ob2ob3o3b4obobob3o2bob3obobo2bo2bob2ob2ob2o
2b4o6bo2b3o2bob2o3b3o4b2obo4bobo2b3o3b4ob5ob3ob3o3b2ob3o4b3ob3ob2o$3ob
2obob2o2bob4o3bo5b2obo2bo2b2ob2o2bob2o2bo5bo2bob2ob3ob4ob3obobob11o4bo
bo2bo3bo4bo3b3ob4o2bob2obob3obo2b2o3b2o$bo6bobob7obo3b6obobob4obo3b2ob
4o2b2o4bob3o2b2ob2obobo4b2ob2ob3ob2o4bob2obob3o3bo3bo2b6o2b2o3bo2bo2bo
b2obo2bo$ob2o3b2obob2obob3o4bobobo5bo2b4o2b2o3bob2obobo7b5o3bobo4bobo
3b2o2b3o2b2ob3o3bob5o5b2obobo2bo2bobobobo2bo3bo4bo$o4b2obo2b2o2b3obob
2o3b2obobobo3bo4b3o8b2obo2bo2bob9o2bo2b2o5bo3b2o2b2obo2b2o3b4o3bo2b3ob
o2b4o3b2o4b3o2b2obobo$bob2o4b4o2b4obo3b3ob2o2b2ob2obo2bob5obo5b2ob2o6b
ob2o2b6ob2ob2o2bo3b5ob2o2bobo4b2o2b4o2bo2bobo2bob2ob6o6b2o$2ob3obo3b4o
3bo2b3o2bo7b7o2b4obo2bo2bo3bobo2b2o2b5o2bo2bob3o2b2ob2obo6b2obo4b6obob
2o3bob2o3b2o3bo6b2obob2o$b5o3b2o2b2obobobobo3b5o3b2o3b2obo2b4o2b6ob2ob
4o2b4o3b3o2b2obobob2o3bob4o2b3o2b3o8b4obo5bob3obob4o3bo$2ob3o7b2obobob
2o2b2o2bobo2bob2ob2obo2b3ob5o5b4obob2obo2bo2b6ob3o2b3o2b2ob6ob3obo2bo
2b4obobo3bobo2bobobobobo3b5o$3b2o2bo2b2o2b3obob2o2b2obo2b2ob3obobob2o
2b3obo6b2o2bo3bo2bo3b2ob3obo2bo6b6obob2o4bob4o2bo5b5o2bo2b2o3bob2o5b4o
$2ob4obobobo2b2o3bo2b3ob2o2b3obobob5o2b2o5b2o2b2ob2obo6bobobobob2obo6b
o4bo2bo2b3obo2bobo5bo2bob4obobob2obob2o4b2o2bo$b2o3bo2b4o2bobobo3b4obo
3bo2bo3b2o2bob2o2bo2bo4b5o3bo3b2ob3o2b5ob5obobo2b2o2b2o2b2o4b2ob3obob
3obo2b2obob4o4bo2bo2bo$o3bo4b2obo2bobobob2obob2obobobo3bob3o3bobob4o2b
o3bo4bobo3bo3bob6o3bobob3o2bo2bobo3b2o3b8ob2obo5bo3bob2o2b2o4bobo$2obo
3b4o3bo2b2ob3o2b3ob4ob3o2b2ob2o2b6o4b2obobobo2b2o3bobo4bob2o2b3o2b3o2b
2o2b4o4bo4bo3bob3obob2o6bob3obob5o$3b2o4b3o2bobobob2o2b3o3bo3bobo4bo3b
o2b2o3b8o2b5o2bo3b4ob3o2b2obob2ob2obobob2o3b2o3bo2bo5b2ob3obo2bo3b2o3b
4o3bo$2o5b2o2b4ob3ob2o2b3obo2bobob4o2bobobo2b3obo3b3o2b3o4bo2b2ob2obob
o3bo2b2obo3b2o2b2o2b2o5b2o2bo4bo2b3obob2o7bo2b2o$2o3bobo2b3ob2ob3o4bob
2o2bob2o2bo2b2o2bob2o2b3o2bo2b2o4b2o2b3ob2o3b2o2b2ob2ob3ob2ob5ob2o6bob
8o2bobo2bo2b2o2b2o4bo2b3o$obob2ob5ob3obo3bo6b2ob3o5b2obob3ob3o5b3ob3ob
5obo7bo5b3ob5obo3bobobo9b3ob2ob3o4b2obo2bobo3bob3obo$b7o2bo3b2o5b3o2bo
2b2ob2obo2bo2bob4o2bo2bo3b2o3bobo4bob3o2b4ob3o2bo3b3o3b2o2b3o3bob3obo
2bobo2b2o3b2o6bo4b3ob3o$o4b3o4b3obo2b2ob3o6b2obob3o2b2o3b2obob2o3bo5bo
2bob2ob3ob2o7bo2bobobobobo5b4obo6bob2o2bo6bobo2bo2bo2bo5bobo$2o2b2obob
2o2b3o2bo2bo2bob2o3b3obo3b4o3bob2obob2o6b5ob2o4b6o4b3ob2o2bob3obo3b3o
2b2o2b2ob3ob2obobobobobob4o4bob5o$2b6obobob2obo2b2ob5o2b2o3bobobobobob
2obo2b3ob3ob2o3bobo2bob2o2bobo2b2ob5obo4b10ob3obo2b3o5b2o3bob2o2b2o2bo
b5ob3o$ob3obob2o3bob7o2b3ob3ob2o2b4ob2obob5o5bo2b2o2b3ob3o4b3ob2o2b2o
4bo2bo2bobo4bob3o2bo2b2ob2obobobobob2o2bobo4bobo2b4o$ob5ob2o6bo4b2ob3o
2b3obo3b2o2b7o2b2o3bob3o2b3o4bo2b2o2b4ob2obob6obo2b2obob8o2b2o2b2o2b2o
bob4obo3bobo2bob5o$6o2b2o3b3obo2bo2bob2ob2ob7o3bo4b2obobobobob3o3bob2o
b2obo3bobobobo5bo2b2obo3b4o4b2ob2o4bobobo3bo3bo2bobobo2bob2o2b2o$2bobo
2bob2o2b2obo2bobo3b2o3bob2o3bo5bo3bo2bo3b2o3bob2o2b2obob2ob6ob2obobob
2o4b2obob2o2bob2o3b6o2b2ob3o2b2obo2b3obobo3bo2bo$4b3o13bob3ob3obob2ob
4o3b2o2bob4o2bo2bo2bobo2bob2obobo2b2obo7b4ob2o2b5ob7o2b2ob4o3bobo4b5ob
2ob2o3bobo$ob2o4bo3bobobobob4o3b5obob2ob2obo2b2o2bo3b4o2b3obobobo2b3ob
obo3b2o2b2obob2obo5b3o3bo2bo3b2obo5bob8obo5bob2o2b2o$2bo2bobo6b2ob5o2b
o2b3obo5bo2bo5bo3bo10bo2bobo2b4obob3obo2b2o6b2o3bo6bob2ob2ob4obo2bo2b
6o2b2ob2ob5o2bo$2b2ob2o2b3ob3o2b2obob3ob4ob4obobo2bo2bob2obo2bo3bo2bob
o5b2o2b2o2b3o6bob5o4bob2ob2o2b2obob2obobobob2ob3o2b2o2b2obob2o4bo$o4b
2o3b3o4b2o10b3ob2obob2o3bob3obobo3bo2bob2ob4o3bo2bo2b5obob3o2bob3obo3b
2o2b2obobobo2b5o2bo8b4obob3obobobo$4o2bobobo2b2obo3b2obob2ob2o2bob6obo
3bo2bo2bob3ob2o2bobobo2b2o5b2o8b8obobobo4bo2b2o5bob3o3bo2bobobob2obob
3o3b2obo$o3bob2o2bo3b2ob2o2bo3bo5b4ob2obob3obo2bo5bob5o2b2ob2o4b4ob2o
2bo6bo4bo2bo5bo3b3ob3o3bo6b2o3bo2b2o2b3obo$o2b2o4b2o4b4obo4b2obobob2ob
ob4o3b2o9b3o4bobo4b2ob2o3bo2bo3b3o3b7ob5obobob3ob5o4bob3o2b2ob4o2b2ob
3obo$bo6b5o2bo4bo7bobo2bobo2b2obo3bo2b7obobo4b6obobob3obobob2o3bo3bo2b
2o2bo2b4obobob2o6bobob5ob2ob3o2b2ob6o$2bobob2ob2ob2o2bobobo2b2o3b2o3b
2ob4obobobobo2b3ob5o4bobo4bo4b2o4bo2b2obob3o6bob3obob2o3b2o4bobo3b5obo
b3o3bo$2b2o4b2obo3b3o3bo2bob6o2bo4bobobob2obob2o5bo4bob4ob2obob2ob2obo
b2obobo3b3obob2ob5o2bo3bo2bob3o2bobobo3b2o3b2ob3o2bobo$obo2bobobob3obo
b3o2b2ob3obo6bo2bo2bob2o3b3o2bobo7bobob2o3b3o3bo2bo2b2o4b4o2b2obob2obo
bo2bo4bo2bo5b2o2b2o3bobo4b2o2bo$bob2o3bob2obo2b4obobo4bobobob3o2bo2bo
2bob2obob3o2bob2o4bob2o2b2o2b3ob2ob2o4b4o3bob3ob2o4bobob2o6b3o2b5obo2b
3o3b6o$5bob2obob3obobob3obo4b3o4bo2bob3obobob2ob2o3bob2ob2o5b2o2b3obo
4bo5bo3b2obobobob3o2bob4ob5o2b2o3bobo2b5o4bo4bo$2o5bo2b2obobo5b4o3b2o
2b3obo2bo2bo3b3obo2b6o2bo3b4o2b2o3b2o2b2obo2b2o5b2o8bob4o5b3o4bo2bo5b
5ob3ob4o$b4o5bobob2ob2o2b2o2b2o2b2obob2obob3ob2obo2bob2o2bo2bobo2b3o3b
2o3bobobob3o3bo2b5o2bobob4o2bo2b2o2b2obo2b4o4bo4b5o2bo3b2o$3o7b2obo3b
2obob3ob3o2b3ob2o2b6o6b3ob5o3b2o2b2o2b4o5bobobo3b2obobo2bobobob2o6b2o
3b2obob3o8b2o2bo2b2obobo$4b6obo3bob3o4b2obobo2b4obo4bo4b3o3bo3bo2bobob
3ob3o2bob2obobobo2b3ob2o8b4obobobo3b5obo5b3ob3obo3b3o2b3o$3o3b2ob3o2b
2obob4ob2ob2o5bo4b3obo3b2o5bo2bobo4b3o2bob2ob5o2bo3bo4bob2obob2ob2o3b
3obobobo4b3o2b4obo2b4obobob5o$2b2ob2o4bobo2bo8bobo5bobobobob2o5b2obob
3ob3o2b2ob2o3bo3b2obo3b2ob4obo3bob2ob3ob6ob4ob4ob2ob2o2b4o2bob9o$b2ob
2ob2o3b7obob2o3bob2o2b2o2bo2b3o2b3ob2o2bo3bobob3ob2ob3o2b4o2bobo4bo4bo
6bob3o3b4o4b2ob5obobo5b2obo2b6o$5o2bobo3b2o2bo2b2o2bo2b3ob2ob3o2bo4bob
3o3b2o3bob2ob2ob2ob2ob4obo4b2o2b2o2bo2b4o6b2o3b7o5bobo2b2obob3obo4b3ob
3o$obo2bo2b3o2b4o5b2o2b2o3b4o4b2o3b4obo3b2o3b2ob2obo2b2obo2bo3bo2b2obo
2b5ob5o2bo3bob3ob3o2b2obob2ob2obob2ob3o3bob7o$3o5b3o2bo4b4obobo2bo3b3o
bo4b3ob4o3b7o4bobo2bo3b5ob4ob3ob4o2bo3bob4o3bo2b3o3bobo3b2obo3bo5b3o2b
3obo$o3bobo2bo2bobobo4b2o2b2ob5o3b2o4bo2bobo3bo3b3ob2obo2bo4b2o2b3ob3o
bobo2b4o5b5o5b2ob2obo3b4obo3b4obo3bo2bob2ob2o$ob2ob3ob2o3b2o2b6ob2ob4o
b4o2b3o2b2obo2b3o2bo2b2ob3o2b2o3b5ob2ob2o2bo3bobobo3bob4obobob5o4bobob
2ob2o4b2ob2obobobob3o$ob2ob2o2b2o2bo2b2ob3o3b4ob2o4bo3b3o3b2obob2ob2ob
o4b2o2b3obobo2b2ob3o2bobob2obo2b2obo2b2o3b4o4bo2bo2b2o2b2obobo4b4ob2ob
2ob2o$13bobo5b2o4b2ob5o2bobob6obob2o2bo2bo3b4ob2o2bob2o2bo5b2ob2ob4ob
2obo5b2o3bo2b2o2bo3b2o2b3o3b3o2b2ob4obobo$o2b2o5bo2bobobobobo5b4o7bo3b
obo3bobobo3bobobo3bo2b3o2b3ob4o2bobo2bo2b2o2bobob7ob3obob5o2b2o2b2o2bo
2bo2bo5bo2bo$ob2o3b2obo2bob3obob3ob3obobobobob2obobo4bob2obob2obobobob
o3b3ob2obob4o3bo8bobo2bobo4bo2b2o4bob2ob2o2b3o6bob3ob2ob5o$5ob2obo3b2o
2b2o2b3obobo5bobo2b3o4b4o2b2obo2bo8b2o2bo3b3o2bob2o2b3o3b4ob4o3b5o3bo
2bo2bo5bob2o2b2o2bobob8o$b2o3bo2bo2b3ob4ob3obo3bo2b4o2bo4bobob3ob4o2bo
3b2obobo3b3ob2o2bobob2o3bo5b6ob4o2b2obo7bobo3bob8o6b2obo$obobobobo2b2o
b2obo2b2o5b4o2b2ob2o4b5o5b2ob3o5bobo2bob2o7b2o4b2obo2bo5b2obo2b2o4b4o
3b2ob2o3b3o2bob6o2b5o$2ob5ob6ob3o4b4o3b2o3bob2o6b4o2b2ob3ob4o2bob3o3bo
2bob3o2b3ob2ob3obob2ob2ob4o2bob2o2b2o3b3o3b3obo3bo4bo3bo$obob2ob2obob
2o3bo7bo2b3o3b8obo5b3o6bob2ob3obo6b3o3bobo2bo3b2obobobo2bobob2o2b2ob2o
3bo4bo4bo3b4obo3b3o2b2o$b4o4bob3obo4bob4obo3b2o3b5ob6o2b5o2b3obo4b2o3b
o3b2obo3b2o2bob2ob2obo5b2ob4o3b4ob3o2bo2b4ob3ob6o2bo2bo$7b4o2bo4bo3bo
4b2obo2bobo3bo7b3o2b2o3b3o3bobo3b2o2bo2bobob2ob2ob3o3bo3bo3bob3o8bo3b
2o4b8o2bo3b2o4b2o$3b5o2bobobo6b3o2bo2b2ob4ob3o2b3obo5b2o4b3o2b2ob3o4b
3o4b6o3b3obo5bo3b3obob4obobobob4o2bo2b4obo2b4ob3o$2bob2obo3b2o4bo2b2o
3b2ob4ob2obo2b2ob4ob6o4b4o3b3obobobob2o4bo4b5o3b2o4b2ob2o2bobob4o3bo2b
3o2bo4b2ob2o6b2obo$2obo2bo2bobob3obo2bo2b4obo2bo2b3o2b2o3bob2o2b3o2b2o
b3ob2ob2obob2o4bob2ob2obobo2b2ob2o2bob2o2bobo2bo6b3obo4bob2ob2ob2ob2o
2b6o$bob4obo4b2o2b4obobobo2b5o2b3obobo3bo5bobo2bob2ob6ob4o2b2obo3bo3b
10o2b3o2b2ob3o3bobo5b3o2bobo2bo2b2ob2o2bo3bo$o7bob3o2b2o7b2o2bob7o2bo
4bo2bob2ob3o4bobob4obobob2o2bobo2b3o2b2o4bo2b3o3b3obo3b7obo2bobobo2b5o
3bob4o2bo$7b2o8b5o2bo2bob2obobo3bo2bob2obobob5o2b5o3b2ob2o4b3o2bob4o2b
3o5bobo2bo3b2o2b2o3bo3bobob5o3b7o3b4o$2b4ob7o2b4obobob3o4bobob2o2b8o2b
4ob2o4bo3b3o2bobob2obob3ob2o2bo2b3o2bo3b3obo2bob2o2bob2obo2b2o6bo3bo2b
o7b2o$b2o3b5obo6bo3b2o3b3o2b5obobob2o2bo2bobo2bob4ob3ob3o6bobo2b3obob
2o2b2o3bobobob3ob3obobo3b2obob2ob5o3bob4ob3ob2o$2bob4o4bo3b2o2bo12b2o
2b3ob2o2b2ob2obo9bobobob2o2b3o2b2o4bo4bo2b2o2b2o2bobo2bobo6bob3o2bob3o
b4obo8bo3b2o$obobobo2b4o2bob4obob2o2bo2b6o4bobobo2bo2bob5o2bo2bobobo2b
o2b2o2b2o2bob4obo4bo3bo2bobo3b2o5b2o4b2obobo2b5o3bo3b2obo$obobo4b2ob3o
4bo4bob3ob2o2bo2bo3b6obo2bobobobo2bo4bob3obo4bo5b3obo2bo2bo4b2o3bob2ob
2ob2o4b2obo2bob2obo3bo2bo3b5o$3o2bobobob2o2bobo6bob4o2bo2b5obo3bob2o2b
3o2bo2bo2b2o2bo3bo3b2ob3obo4bo8bob2obo3b2o2bo2bo4b7obobo6bob2o2b2ob3o$
bob4o3bo2bo3bobo3b2o2bo14bobo3b4o2bob2ob3ob4obobo6bob2ob2obob3o3bo2bo
2b4o2bob2obob2ob3ob3obo2b4o8b3ob2o$bob2o2b8ob3obobo2bobobobobo4bo3b2ob
4obo2bob2ob3ob2o2bobobo5b2o3bo2b3o6b3ob2o3b2o4b2ob5ob4o2b2obo2b2obo3b
2ob2o2b2o$o3bo2bo2b3ob3ob2o2b3ob2ob2ob2o2bo3bo2b10ob4o2b2o2b4ob3obo5b
2o4bobobobo2bo3b6o3bobo3bobo4bob2ob2obobob4obo$4obo3bo2bo2b2o3b4obobo
2bo3b3ob4ob5o3b2o5bo4bo2b2ob4o2bo5b4o2b2o2b2o3bo2bob4o3bob3o2b2o2bobo
2b2o2b2o2b2obob2o2b2obo$3bo4b2ob2o7b4ob3o2b4obob2ob2obo2b2o2b3obo2b2o
3bo2b4ob2ob3o2bo2bo2b2obob2o4bobo2b2obobob3o2bob5o3b2o7b2obo2bobob4o$o
2bo2b3o2bobobo3bobobobobo3b2ob3o3b3ob3o2bo3b3o2bobobo2bo2bob2o2b3o4b3o
2b2o2bob2obo2b2o2bo2bo5b2obobo3bob3o3b3o3b4ob2ob3o$2b2obob4obob3o2b2ob
obo3bo2b3o2b2obob2o3bobo2b3obob3obo3b3o2b3o3b2o2bo3bo2b3ob2obobo2bo5b
4ob2obob5o2b2o2b2obobo3bo3b3o2bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
Moosey
Posts: 4306
Joined: January 27th, 2019, 5:54 pm
Location: here
Contact:

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Moosey » April 22nd, 2021, 11:40 am

well, if you say so
(12c/36)

Code: Select all

x = 17, y = 21, rule = R10,C0,S9,14-15,17,21,23-24,30-31,37-38,44-45,51-52,56,58-59,B3,6,10,17,21,24,31,38,45,49,52,59,NW100000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000100000000707000000001000000000777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000001
bo$2bo$3o17$15b2o$15b2o!
result:

Code: Select all

x = 92, y = 30, rule = R10,C0,S9,14-15,17,21,23-24,30-31,37-38,44-45,51-52,56,58-59,B3,6,10,17,21,24,31,38,45,49,52,59,NW100000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000100000000707000000001000000000777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000001
10b10o$10b10o$10b10o$10b10o$10b10o$10b10o$10b10o$10b10o$10b10o$10b10o$
10o$10o$10o$10o49bo24bo3bo$10o48bo23bobo3bobo$10o48b3o20bo3bobo3bo$10o
72bobo3bobo$10o73bo5bo$10o$10o$30o$30o$30o$30o$30o$30o$30o$30o$30o$30o
!

Code: Select all

x = 30, y = 30, rule = R10,C0,S9,14-15,17,21,23-24,30-31,37-38,44-45,51-52,56,58-59,B3,6,10,17,21,24,31,38,45,49,52,59,NW100000000010000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000100000000707000000001000000000777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000010000000001
10b20o$10b20o$10b20o$10b20o$10b20o$10b20o$10b20o$10b20o$10b20o$10b20o$
20o$20o$20o$20o$20o$20o$20o$20o$20o$20o$10b20o$10b20o$10b20o$10b20o$
10b20o$10b20o$10b20o$10b20o$10b20o$10b20o!
not active here but active on discord

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei47 » April 23rd, 2021, 11:12 am

Disproof of (2,1)c/2 in alternating isotropic rules:
First of all, if we break the pattern into orthogonal rows (sorry) perpendicular to the "long" axis, or the one that aligns with the (2,0)c/2 part of the (2,1)c/2 motion, we see that the front row cannot be affected by the rows behind it, making it an alternating 1D cellular automaton. B0 doesn't affect anything, since we can negate the transitions of the B0 rule, and then invert the non-B0 rule. Now, if there was a (2,1)c/2 in an alternating rule, there would be a c/2 spaceship in an alternating 1D symmetric cellular automaton. Run this code, which looks for a frontend and a backend, where the first and last 5 cells are preserved after 2 generations, and notice that it doesn't find anything. Therefore, there cannot be a (2,1)c/2 in an isotropic alternating rule.

Code: Select all

var evolve=function(x,trans){
  var y=[];
  for(var i=1;i<x.length-1;i++){
    var j=i-1;
    var one=x[i+1];
    var two=x[i];
    var four=x[i-1];
    var pos=one+2*two+4*four;
    y[j]=trans[pos];
  }
  return y;
};
var check1=function(x,ytrans,ztrans){
  var y=[0,1,ytrans[0],ytrans[1],1,ytrans[2],ytrans[1],ytrans[3]];
  var z=[0,0,ztrans[0],ztrans[1],0,ztrans[2],ztrans[1],ztrans[3]];
  var ypat=evolve(x,y);
  var zpat=evolve(ypat,z);
  return zpat;
}
var pat2bin=function(pat){
  var bin=0;
  for(var i=0;i<pat.length;i++){
    bin*=2;
    bin+=pat[i];
  }
  while(bin%2===0&&bin>0){
    bin/=2;
  }
  return bin;
};
//console.log(pat2bin([0,1,0]));
var bin2pat=function(bin){
  var pat=[];
  while(bin>0){
    pat=[bin%2].concat(pat);
    bin-=bin%2;
    bin/=2;
  }
  return pat;
};
//console.log(bin2pat(11));
var check=function(pat){
  for(var i=0;i<16;i++){
    for(var j=0;j<8;j++){
      var y=bin2pat(i);
      var z=bin2pat(j);
      while(y.length<4){
        y.push(0);
      }
      while(z.length<3){
        z.push(0);
      }
      z=[z[0],1-z[0],z[1],z[2]];
      var pat0=pat2bin(pat);
      //console.log(check1(pat,y,z));

      var p1=check1(pat,y,z);
      p1=[0,0].concat(p1);
      for(var k=0;k<2;k++){
        p1.push(0);
      }
      var pat1=pat2bin(p1);
      var five0=[];
      var five1=[];
      for(var k=4;k<9;k++){
        five0.push(pat[k]);
        five1.push(p1[k+1]);
      }
      for(var k=13;k<18;k++){
        five0.push(pat[k]);
        five1.push(p1[k+1]);
      }
      //var f0=pat2bin(five0);
      //var f1=pat2bin(five1);
      //console.log(j);
      if(JSON.stringify(five0)===JSON.stringify(five1)){
        console.log(pat);
        //console.log(p1);
        console.log(y);
        console.log(z);
      }
    }
  }
}
//console.log(check1([0,0,0,0,1,1,0,1,0,0,0,0],[1,0,1,0],[1,0,1,0]));
//console.log("Test");
var i=1;
while(i<4096){
  var pat=bin2pat(i);
  while(pat.length<12){
    pat=[0].concat(pat);
  }
  pat=[1].concat(pat);
  pat.push(1);
  pat=[0,0,0,0].concat(pat);
  for(var j=0;j<4;j++){
    pat.push(0);
  }
  check(pat);
  if(i%1024===1){
    console.log(i);
  }
  i+=1;
}
//0 1 A B C D E
//1 F G H I J
//1 A B C D

//0 1 A B C D E F G
//1 H I J K L M N
//0 0 1 A B C D

//        4         9       13        18

//0 0 0 0 1 A B C D E F G H I J K L 1 0 0 0 0
//0 0 0 1 a b c d e f g h i j k l m n 1 0 0 0
//0 0 0 0 0 1 A B C D o p q r s J K L 1 0 0 0
Edit: There's a bug in that code, but this one should work:

Code: Select all

var evolve=function(x,trans){
  var y=[];
  for(var i=1;i<x.length-1;i++){
    var j=i-1;
    var one=x[i+1];
    var two=x[i];
    var four=x[i-1];
    var pos=one+2*two+4*four;
    y[j]=trans[pos];
  }
  return y;
};
var check1=function(x,ytrans,ztrans){
  var y=[0,1,ytrans[0],ytrans[1],1,ytrans[2],ytrans[1],ytrans[3]];
  var z=[0,0,ztrans[0],ztrans[1],0,ztrans[2],ztrans[1],ztrans[3]];
  var ypat=evolve(x,y);
  var zpat=evolve(ypat,z);
  return zpat;
}
var pat2bin=function(pat){
  var bin=0;
  for(var i=0;i<pat.length;i++){
    bin*=2;
    bin+=pat[i];
  }
  while(bin%2===0&&bin>0){
    bin/=2;
  }
  return bin;
};
//console.log(pat2bin([0,1,0]));
var bin2pat=function(bin){
  var pat=[];
  while(bin>0){
    pat=[bin%2].concat(pat);
    bin-=bin%2;
    bin/=2;
  }
  return pat;
};
//console.log(bin2pat(11));
var check=function(pat){
  for(var i=0;i<16;i++){
    for(var j=0;j<8;j++){
      var y=bin2pat(i);
      var z=bin2pat(j);
      while(y.length<4){
        y=[0].concat(y);
      }
      while(z.length<3){
        z=[0].concat(z);
      }
      z=[z[0],1-z[0],z[1],z[2]];
      var pat0=pat2bin(pat);
      //console.log(check1(pat,y,z));

      var p1=check1(pat,y,z);
      p1=[0,0].concat(p1);
      for(var k=0;k<2;k++){
        p1.push(0);
      }
      var pat1=pat2bin(p1);
      var five0=[];
      var five1=[];
      for(var k=4;k<9;k++){
        five0.push(pat[k]);
        five1.push(p1[k+1]);
      }
      for(var k=13;k<18;k++){
        five0.push(pat[k]);
        five1.push(p1[k+1]);
      }
      //var f0=pat2bin(five0);
      //var f1=pat2bin(five1);
      //console.log(j);
      if(JSON.stringify(five0)===JSON.stringify(five1)&&p1[3]+p1[4]===0){
        console.log(pat);
        //console.log(p1);
        console.log(y);
        console.log(z);
      }
    }
  }
}
//console.log(check1([0,0,0,0,1,1,0,1,0,0,0,0],[1,0,1,0],[1,0,1,0]));
//console.log("Test");
var i=1;
while(i<4096){
  var pat=bin2pat(i);
  while(pat.length<12){
    pat=[0].concat(pat);
  }
  pat=[1].concat(pat);
  pat.push(1);
  pat=[0,0,0,0].concat(pat);
  for(var j=0;j<4;j++){
    pat.push(0);
  }
  check(pat);
  if(i%1024===1){
    console.log(i);
  }
  i+=1;
}
//0 1 A B C D E
//1 F G H I J
//1 A B C D

//0 1 A B C D E F G
//1 H I J K L M N
//0 0 1 A B C D

//        4         9       13        18

//0 0 0 0 1 A B C D E F G H I J K L 1 0 0 0 0
//0 0 0 1 a b c d e f g h i j k l m n 1 0 0 0
//0 0 0 0 0 1 A B C D o p q r s J K L 1 0 0 0
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
LaundryPizza03
Posts: 2298
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » April 23rd, 2021, 1:44 pm

wwei47 wrote:
April 18th, 2021, 10:48 am
Edit 5: !!!

Code: Select all

x = 4, y = 5, rule = B3-cey4-cjq5qr6ac/S2-ac3-ceky4kqz5ce6ei
bo$o2bo$o2bo$o2bo$b3o!
4c/188d spaceship; higher periods can exist.

Code: Select all

x = 51, y = 44, rule = B3-cey4-cjq5qr6ac/S2-ac3-ceky4kqz5ce6ei
bob2obo$4bo3bo$obo6bo$9bo$2o2b6o$bobo$2bobo4$11bob2obo$14bo3bo27b3o$
10bobo6bo26bo2bo$19bo25bo4bo$10b2o2b6o24bo5bo$11bobo31b2o$12bobo31bo2b
o14$9b4o$12bo$8bo2bobo$8bo3bo$6b3obo$5b3obo$6b2obo$7bo5bo$11bob2o$9b3o
$9b3o$5bo3b2obo$4bo5b3o$4b3o4bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

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