ConwayLife.com

Posted: **November 21st, 2024, 11:36 pm**

b-engine wrote: November 21st, 2024, 11:33 pm
CARuler wrote: November 21st, 2024, 11:18 pm what does the SASL mean
Spaceship And Still Life.

it is actually a SMOI as well

Posted: **November 21st, 2024, 11:40 pm**

CARuler wrote: November 21st, 2024, 11:18 pm

b-engine wrote: November 21st, 2024, 11:33 pm

CARuler wrote: November 21st, 2024, 11:36 pm

Tangential questions like this would go better in the Basic questions thread, instead of flooding other topics.

Posted: **November 25th, 2024, 6:31 am**

jimmyChen2013 wrote: November 14th, 2024, 6:02 am
A rake that periodically produces a c/2 collision based sqrt-diameter growth thingy:
Code: Select all
x = 20, y = 20, rule = B2e3acij4ajqry5k6e78/S1c2-in3nr4anw5ajny6i78
b2o$3bo$o2bo$o2bo$3o12$16b3o$15bo3bo$15bo3bo$15b3o!

Another knightship collision based replicator that create a c/2 collision arrangement each replication, though in this rule the arrangement is an osc:

Code: Select all

x = 20, y = 20, rule = B2e3aijky4ajrt5a6c7c/S1c2-in3nr4actw5aejqr6cen7c8
b2o$3bo$o2bo$o2bo$3o12$16b3o$15bo3bo$15bo3bo$15b3o!

A counterfeit (12,6)/56 version of the knightship above:

Code: Select all

x = 4, y = 3, rule = B2e3aijky4acjrt5a6cik7c8/S1c2-in3knr4actw5aejqr6cen7c8
b2o$bobo$o2bo!

Posted: **November 25th, 2024, 7:41 am**

I think one can compare this thread with a much earlier thread focusing on "interesting dynamics" in general:

gmc_nxtman wrote: October 8th, 2017, 3:47 pm[...] If possible, describe the dynamic in detail. [...]

Neither "interesting dynamics" nor "unusual spaceship" is a term, obviously, there is no precise definition, yet both threads are here.
The suggestion to describe the dynamic in detail is also applicable to this thread. Often it is possible to find many variations with similar dynamics and shared objects, and one longer post describing the space is better than multiple shorter posts for variations (also, the more interesting details are mentioned in the post, the better; for example mentioning the period/speed of objects in the post would help, especially for high-period objects, because that means the readers will not have to re-identify the object again to obtain the same information that was already known to the author of the post).

jimmyChen2013 wrote: November 25th, 2024, 6:31 am[...]
A counterfeit (12,6)/56 version of the knightship above:
Code: Select all
x = 4, y = 3, rule = B2e3aijky4acjrt5a6cik7c8/S1c2-in3knr4actw5aejqr6cen7c8
b2o$bobo$o2bo!

Unlike the previously posted (4,3)c/11 oblique spaceship, this (12,6)c/56 spaceship is indeed a knightship (it has slope 2).

Posted: **November 28th, 2024, 1:48 am**

This (20,4)c/130 spaceship amazes me.

Code: Select all

x = 34, y = 31, rule = B3-ey4cj5cy/S2-in3-aek4n5eijqr7e
b2o$obo$bo4$7b2o$6b2o$7bo2bo$8b3o$9bo4$15b2o$14bobo$15bo12$31bo$31bo$
31b3o!

Posted: **December 4th, 2024, 4:21 pm**

This rule also has several natural oblique spaceships with the slopes (16,5) and (5,2):

Code: Select all

x = 676, y = 163, rule = B3-ey4cj5cy/S2-in3-aek4n5eijqr7e
35$195bo$194b3o$193bo2bo$192b2o$193b2o$188bo$187bobo$190bo$185b2obo8b
2o$184bo2bo3bo4bo2bo$185b2ob2o6bobo$89b3o93b2o2bo2bo4bo$88bo2bo4b3o87b
o2bob2o309b3o$88bo9bo86bobob2o311bobo$88b2o7b2o87bob2ob2o309b2o$192bo$
92bo97b3o$92bobo410b2o$92b3o179b3o192b2o34b3o$86b3o184bo2bo84bo106bobo
24b3o8bo$86bobo184bo86b4o104bo2bo23bobo$87bo185b2o85b2obo104bo2bo23b2o
$86bo274b2o100b3o$462bo3bo32b3o$269b2o7b2o76b2o104b2o2bo34bo$268bob2o
5bobo75b4o103b2o2b2o29bo2b2o$271bo5b3o76bobo103bobobo30bobo$266bo89b2o
103bo4bo11b2o17b3o$265bo95b3o102bo10bobo$265b2o96bo98b2obo11bo2bo$177b
2o87b2o4b2o85bo2b2o94bo5bo12bo2bo$175bo2b2o82b2o10b2o83bobo95b4o30b2o$
174bob3o82bob2o7bo2bo83b3o95b2obo12b3o15b3o$168b2o4bo2bo86bo4bobo2bo
180b2ob2o12bo19bo$164bo2bo2b2o3bo83bo9bo80b2o102b4o14b2o$163bobobobo7b
3o78bo11bobo73b2o3bo3bo99bobo16b2o$164b2ob2ob3o4b3obo76b2o10b2o74bo4bo
2b3o98b2o$165bo11bo3bo77b2o85b3o4b2obo94bo$165b4o2bo6b2o84b2o81b2o4b3o
91b4o2bo$166bo2b2o7b5o70b3o7bobo85bo94bob2o3bo$167b2o11bo71bo2bo7b3o
180bo3bo3bo$175bo76bo193bo6bo$173b3o76b2o193b6o$173bo275bo$174bobo72bo
193b3o$176bo72b2o191bo37b2o$248bo2bo190b2o36bobo$175b2o72b2o193b2o35b
2o$176b3o$472b2o$470b2o2bo$244bo220b2o5b3o$243b3o219bobo$244b2o220b2o
5$237bo$236b3o$237b2o3$231bo$229b2obo$230bobo$231bo!

It also has a P808 statorless oscillator, which can be used for gun-making:

Code: Select all

x = 142, y = 81, rule = B3-ey4cj5cy/S2-in3-aek4n5eijqr7e
18$12b3o32b3o$12bo2bo30bo2bo$15bo30bo$14b2o30b2o30b3o32b3o$78bo2bo30bo
2bo$18bo24bo37bo30bo$17b2o24b2o35b2o30b2o$16bo2bo22bo2bo$17b2o24b2o39b
o24bo$83b2o24b2o$22bo16bo42bo2bo22bo2bo$21bob2o12b2obo42b2o24b2o$21bob
o14bobo$22bo16bo48bo16bo$26b3o4b3o51bob2o12b2obo$26bo2bo2bo2bo51bobo
14bobo$29bo2bo55bo16bo$28b2o2b2o58b3o4b3o$92bo2bo2bo2bo$95bo2bo$94b2o
2b2o!

wwei47 wrote: November 28th, 2024, 1:48 am This (20,4)c/130 spaceship amazes me.
Code: Select all
x = 34, y = 31, rule = B3-ey4cj5cy/S2-in3-aek4n5eijqr7e
b2o$obo$bo4$7b2o$6b2o$7bo2bo$8b3o$9bo4$15b2o$14bobo$15bo12$31bo$31bo$
31b3o!

Posted: **December 21st, 2024, 9:35 am**

Both the copperhead and the fireship from Conway's Life are supported:

Code: Select all

x = 32, y = 18, rule = B3-ek5ei8/S23-c4cey5ek6ei
2b2o22b2o$bo2bo20bo2bo$bo2bo20bo2bo$o4bo18bo4bo$o4bo18bo4bo$b4o20b4o$
2o2b2o18b2o2b2o$o4bo18bo4bo$o4bo18bo4bo3$b4o20b4o$2b2o22b2o2$23b2o4b2o
$22bo2bo2bo2bo$23b3o2b3o$23b2o4b2o!
#C [[ THEME MCell GRID ZOOM 8 TRACKLOOP 10 0/10 -1/10 ]]

In addition, the R-pentomino is a phase of a p122 oblique (9,8)c/122 spaceship:

Code: Select all

x = 3, y = 3, rule = B3-ek5ei8/S23-c4cey5ek6ei
bo$b2o$2o!
#C [[ THEME MCell GRID ZOOM 8 TRACKLOOP 122 9/122 8/122 ]]

The oblique spaceship is endemic to this CA within the space of all two-state isotropic CA with range-1 Moore neighbourhood.

The four standard spaceships from Conway's Life are supported as well. What was a honeyfarm predecessor, instead evolves into a 46-bit strict still life with bounding box 13-by-9, making that still life unusually common:

Code: Select all

x = 38, y = 36, rule = B3-ek5ei8/S23-c4cey5ek6ei
2b2o9bo$o4bo5bo3bo6bo2bo$6bo9bo9bo8bo$o5bo4bo4bo5bo3bo9bo$b6o5b5o6b4o
7b3o29$36b2o$35bobo$37bo!
#C [[ THEME MCell GRID ZOOM 4 ]]

Rakes and puffers can be made from interacting instances of the oblique spaceship:

Code: Select all

x = 924, y = 54, rule = B3-ek5ei8/S23-c4cey5ek6ei
4b2o$4b3o$3bo2bo$4b2o15$b2o$2o$bo10$312bo559bo$310b2obo47b2o158bo348b
2obo$69b2o41b2o47b2o49b2o48b2o45bo51b3o47bobo47bo57b2obo48bo49bobo48b
2o47b3o47bo50b2o45bo50b3o$69b3o39b2o48b3o47b2o48b2o46bo4bo45bo2bo46bo
2bo45b2ob2o54bo53bo47bo2bo47b2o48bo47b2ob2o47b2o46bo4bo44b2obo$68bo2bo
40bo47bo2bo48bo49bo46b2o50b2o47bo2bo45bo2bo55bo4bo48bo47bo2bo48bo48b2o
46bo2bo49bo46b2o47b2o2b2o$69b2o90b2o248b2o47b2o56b2o47b5o49b2o147b2o
147bob2o$311b3o253bo2bo300b3o46b3o$520b3o44b3o2bo348bo$570b2obo$570b2o
bo$572bo3$107bo$105b2ob2o96bo48b2o558b2o$105bo99b2o48b3o407b2o48b2o97b
2o$105bo3bo47b2o45bo2bo46bo2bo406b2o48b2o48b2o49bo48b2o$65b2o39b3o47b
2o47b2o48b2o98b2o258b2o48bo49bo47b2o98b2o$64b2o91bo148b2o46b2o49b2o47b
2o158b2o148bo99bo$65bo239b2o48bo48b2o47b2o59b2o99bo297b2o$306bo98bo48b
o58b2o397b2o$514bo50b2o346bo$564b2o$565bo!

This CA is apgsearchable: /census/b3-ek5ei8s23-c4cey5ek6ei

Posted: **December 26th, 2024, 9:54 am**

Two slow spaceships:

the R-pentomino is a p85 orthogonal 2c/85 rake shooting gliders, and two mirrored copies of the rake can form a spaceship
the ear is a (2,1)c/307 p307 knightship, endemic to this CA (within the space of all 2-state isotropic CA with range-1 Moore neighbourhood)

In some phases, the p307 knightship consists of two still lives (a block and a boat) and the p85 rake. Moreover the rake completes a full cycle without interacting with the still lives.

Code: Select all

x = 68, y = 36, rule = B3-ky4ce6ei7c8/S23-y5e6ein7e8
63bob3o$63b2o17$17b2o$16bo2bo$17b2o$16bo2bo$17b2o7$3bo28bo$3b2o26b2o$
2bobo26bobo2$o34bo$3o30b3o$bo32bo!
#C [[ THEME Catagolue GRID T 81 PAUSE 1 T 166 PAUSE 1 STOP 307 ]]

edit: a different CA, again two spaceships, p43 oblique (14,1)c/43 and p294 diagonal c/21:

Code: Select all

x = 119, y = 67, rule = B3-y4cq8/S235e6k78
18bo$17bobo12bo$18bo12bobo12bo$32bo12bobo$46bo$17b3o12bo$2o30bo$obo29b
o12b3o$ob2o55b3o$o2bo49bo5bobo$obo49b3o4bo3bo$51bo8b5o$15b3o32b2o9bo3b
o$9bo5bobo36bo7b3o$8b3o4bo3bo31bo11bo$7bo8b5o$6b2o9bo3bo$10bo7b3o$7bo
11bo44$117b2o$118bo$117bo$117bo$117bo!
#C [[ THEME Catagolue GRID ]]

Posted: **December 26th, 2024, 4:16 pm**

Some stuff in the first rule including a natural p3

Code: Select all

x = 63, y = 48, rule = B3-ky4ce6ei7c8/S23-y5e6ein7e8
19$26bo$25b3o3$54b3o$54bobo$53bo2bo$53b3o8$26b2o$25bobo$24bo2bo$25b2o
!

Posted: **December 27th, 2024, 6:22 am**

Looks like b3-ky4ce6ei7c8s23-y5e6ein7e8/C1 can be apgsearched, although very slowly (a 10000-soup haul took several hours). Here is a statorless p4 oscillator:

Code: Select all

x = 4, y = 5, rule = B3-ky4ce6ei7c8/S23-y5e6ein7e8
2bo$3o$2bo$b3o$2b2o!

confocaloid wrote: December 26th, 2024, 9:54 am [...] In some phases, the p307 knightship consists of two still lives (a block and a boat) and the p85 rake. Moreover the rake completes a full cycle without interacting with the still lives.
Code: Select all
x = 68, y = 36, rule = B3-ky4ce6ei7c8/S23-y5e6ein7e8
[...]

CARuler wrote: December 26th, 2024, 4:16 pm Some stuff in the first rule including a natural p3 [...]

Posted: **December 27th, 2024, 6:46 am**

This ship:

Code: Select all

# 28c/16969o
x = 10, y = 4, rule = B2-a3-eiqy4iknrtz5aijqy6aei78/S02ck3nq4-acjkz5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

is also a failed p(18160+33938n) flipper:

Code: Select all

x = 10, y = 20, rule = B2-a3-eiqy4iknrtz5aijqy6aei78/S02ck3nq4-acjkz5-ekq6-i78History
2.6D$D.6D.D$3.4D$2.D4.D13$2.A4.A$3.4A$A.6A.A$2.6A!
[[ STOP 9080 ZOOM 2 STEP 64 ]]

Is there any way to perturb/hassle (not sure if I am using the right words here) this ship to make a (possibly adjustable) flipper of any period of the form p(18160+33938n)?

Posted: **January 11th, 2025, 6:49 am**

Crossposting some unusual spaceships:

confocaloid wrote: April 17th, 2023, 12:16 am Recollision spaceship (c/395 orthogonal; there's a glider hitting a two-block constellation):
LaundryPizza03 wrote: August 16th, 2022, 3:43 pm c/395o found by Carson Cheng in apgsearch:
Code: Select all
x = 11, y = 13, rule = B36a/S235y
2bo$2o$2o2$2bo$2o6$9b2o$9b2o!

An old diagonal c/124 corderoid, I wonder if this can be made significantly smaller (either by the minimum population or the minimum single-phase bounding box area):

confocaloid wrote: January 29th, 2024, 10:10 am

Code: Select all

#C (1,1)c/124 p124 mod62, minimum population 493 cells, 14 engines
x = 244, y = 242, rule = B3-c/S23-ceky
179b2o$178bo2bo$181bo$178bobo$177b3o$176bo$176bobo$177b2o6$155bo$155b
2o$154bobo5$165bo25bo$163b2o25b3o$164b2o23b2obo$189b3o$189b3o$190b2o
20$125bo$125b2o$124bobo3$118bo14bo$118bo12b2o$117bo14b2o$109bobo$110b
2o$110bo$115b2o$108bo6b2o$107bobo$107bo2bo$108b2o4$100bo6bo$99bobo5b2o
92b5o$99bobo6b2o30b5o55bo4bo$99b2o38bo4bo60bo$144bo55bo3bo$96b3ob2o37b
o3bo58bo$96b3o42bo$98bo8b2o$99bob2ob3obo$99bob2ob3obo$104bob2o$236b3ob
2o$240b3o$241b2o$237bo4b2o$237bob4o$239b2o3$192bo$191b3o26b3o$86bo103b
2obo28bo$87b2o101b3o28bo$86b2o102b3o$91b2o98b2o$84bo6b2o$83bobo$83bo2b
o$84b2o$71bo6bo$70bobo5b2o$70bobo6b2o$70b2o132bo$202b4o$67b3ob2o128bo
4bo$67b3o130b3o3bo$69bo8b2o119b2o3b3o$70bob2ob3obo119bo2b3o$70bob2ob3o
bo120b4o$75bob2o122bo2$67b3o$62bo4bo142bo$62bo4bo2bo139bobo$61bo6bobo
139b2o$53bobo13b2o$54b2o$54bo$59b2o8b2o$52bo6b2o9b2o$51bobo15bo$51bo2b
o127bo6b2o$52b2o127bobo5bobo$180b2obo5b3o$181b2o$179b2o2bo$178bob2o$
178bo$180b2o5b4o$180b2ob2obo3b2o$183b2o5bo$185b2ob2o11$33bobo$33b2o$
34bo6$39b2o$40b2o$39bo5$153bo$154bo$152b3o$157b2o$150bo6b2o$149bobo$
149bo2bo$150b2o7$14b2o$13bo2bo51bobo$16bo54bo$13bobo51bo3bo$12b3o56bo$
11bo56bo2bo$11bobo55b3o$12b2o3$122bo6b2o$121bobo5bobo$120b2obo5b3o$3b
3o115b2o$6bo112b2o2bo$b2o3bo111bob2o$bo4bo111bo$3b2o115b2o5b4o$bo3b2o
113b2ob2obo3b2o$2bo3bo116b2o5bo$5bo119b2ob2o$5b2o$bo4bo49b2o$obob2o49b
2ob3o$2o54b5o$57b3o54b3o2b2o$116bo3b2obo$115bo5b3o$122bo9$98bo$96b4o$
95bo4bo$94b3o3bo$93b2o3b3o$93bo2b3o$94b4o$95bo13$95b2o$94bobo$96bo3$
67bobo$70bo$66bo3bo$70bo$67bo2bo$68b3o4$75b3ob2o$79b3o$80b2o$76bo4b2o$
76bob4o$78b2o!

Posted: **February 28th, 2025, 8:23 am**

In this CA, "boxes" with bits added at one edge and removed from the opposite edge can become p1 orthogonal c/1 spaceships.

Code: Select all

#C The neighbourhood range is 3; c/1 is no longer the maximum possible speed of propagation of effects.
#C [[ GRID THEME MCell ]]
x = 160, y = 90, rule = R3,C0,S0-59,61-129,131-149,151,153-204,206-250,252-254,257-274,276-309,311-339,341-359,361-375,377-434,436-439,441-459,461-464,466-489,491-504,506-559,562-564,566-584,586-614,616-684,686-709,712-744,746-805,807-809,811-814,816-835,837-959,961-1310,1312-1461,1463-1561,1563-1588,1590-1596,1598-1687,1689-1693,1695-1711,1713,1715-1818,1820-1837,1839-1842,1844-1943,1945-1963,1965-2067,2070-2088,2090-2193,2195-2213,2215-2318,2320-2337,2340-2443,2445-2448,2450-2463,2465-2588,2590-2624,B35,160,175,180,285-286,305,410,430,535,555-556,660,680,781,786,805,910,912,930,936,1027,1035,1062,1162,1313,1664,1788,1809,1814,1818,1879,1913-1914,1939,2009,2039,2059,2063-2064,2119,2134,2159,2164,2184,2189,2248,2264,2284,2314,2349,2368-2369,2373,2419,2472,2474,2494,2564,NW017D007D007D017D7D007D007D7D000005190500007D7D1900197D7D000005190500007D7D007D007D7D017D007D007D01:T160,90
80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$
80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$80o$12ob6ob6ob6ob46o46bo6b
o6bo6bo$9o28b43o43b28o$9o28b43o43b28o$9o28b43o43b28o$9o28b43o43b28o$9o
28b43o43b28o$9o28b43o43b28o$9o28b43o43b28o$9o28b43o43b28o$9o14bo13b43o
43b13ob14o$9o11b7o10b43o43b10o7b11o$9o11b7o10b43o43b10o7b11o$9o11b7o
10b43o43b10o7b11o$9o11b7o10b20o2b9o3b9o9b3o9b2o20b10o7b11o$9o11b7o10b
19ob2ob8ob2ob8o8bo2bo8bo2bo19b10o7b11o$9o11b7o10b31ob11o11bo31b10o7b
11o$9o11b7o10b31ob11o11bo31b10o7b11o$9o11b7o10b32obob8o8bobo32b10o7b
11o$9o11b7o10b43o43b10o7b11o$9o11b3ob3o10b43o43b10o3bo3b11o$9o28b43o
43b28o$9o28b43o43b28o$9o28b43o43b28o$9o28b43o43b28o$9o28b43o43b28o$9o
28b7o2b34o34b2o7b28o$9o28b7o2b34o34b2o7b28o$9o28b43o43b28o$9o28b31o3b
9o9b3o31b28o$9o28b31ob2ob8o8bo2bo31b28o$9o28b31ob11o11bo31b28o$9o10bo
6bo10b31ob3ob7o7bo3bo31b10ob6ob10o$9o7b14o7b31ob11o11bo31b7o14b7o$9o7b
14o7b32obob8o8bobo32b7o14b7o$9o7b14o7b43o43b7o14b7o$9o7b14o7b43o43b7o
14b7o$9o7b14o7b21o2b20o20b2o21b7o14b7o$9o7b14o7b21obob19o19bobo21b7o
14b7o$9o7b14o7b21ob21o21bo21b7o14b7o$9o7b14o7b43o43b7o14b7o$9o7b14o7b
43o43b7o14b7o$9o7b3ob6ob3o7b43o43b7o3bo6bo3b7o$9o28b43o43b28o$9o28b31o
3b9o9b3o31b28o$9o28b31ob2ob8o8bo2bo31b28o$9o28b31ob11o11bo31b28o$9o28b
31ob3ob7o7bo3bo31b28o$9o28b31ob3ob7o7bo3bo31b28o$9o28b31ob11o11bo31b
28o$9o28b32obob8o8bobo32b28o$9o3bo6bo6bo6bo3b43o43b3ob6ob6ob6ob3o$80o$
80o$80o$80o$80o$80o$80o$80o$80o$80o!

Posted: **March 14th, 2025, 5:35 pm**

Here are several unusual period-1 spaceships. In every case, the CA is two-state, with isotropic rules, and defined using a weighted neighbourhood with weights assigned in a fully symmetric way.

Code: Select all

#C dx = 1, dy = 0
x = 20, y = 10, rule = R3,C0,S39,143,156,260,380,498,512,731,B27,156-157,291-301,378-379,405-422,484,497-537,876,NW750001010100750075750075750001750D0D0D750101000D000D000101750D0D0D75010075750075750075000101010075
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo13bo$19bo$17b3o!

Code: Select all

#C dx = -1, dy = 0
x = 20, y = 10, rule = R3,C0,S14-27,79-92,276,342,613,B80-92,157-174,210,287,291-302,378,417,432,481-498,549-693,NW41014141410141014100410041014100010D01004141410D000D41414100010D0100410141004100410141014141410141
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo13bo$19bo$17b3o!

Code: Select all

#C dx = 0, dy = 1
x = 20, y = 10, rule = R3,C0,S12-236,488,596-614,849-965,1190,1433,B21,129,380-383,389,499,586,596,616,743,830-859,967,985,NW00757509757500750975097509757575010101757509090100010909757501010175757509750975097500757509757500
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo13bo$19bo$17b3o!

Code: Select all

#C dx = 0, dy = -1
x = 20, y = 10, rule = R3,C0,S132-260,406-506,907-910,1156-1260,1407,B161,257-261,380,431,506-517,538,570,635,656,692,935-1037,1192,1308,NW00007D7D7D000000197D7D7D19007D7D0105017D7D7D7D0500057D7D7D7D0105017D7D00197D7D7D190000007D7D7D0000
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo13bo$19bo$17b3o!

Code: Select all

#C dx = 1, dy = 1
x = 9, y = 8, rule = R3,C0,S704,834,952-1068,1097,1302,B380,482,585-588,641,743-834,872-902,964,1006,1318,NW7575010D017575750175757501750175750D7575010D750D000D750D0175750D757501750175757501757575010D017575
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

Code: Select all

#C dx = -1, dy = -1
x = 9, y = 8, rule = R3,C0,S253,380,417,488,603-604,724,829,B245,252,262,361,505,524,613,641-739,867-991,NW00750109017500750900750009750100750975000109750900097509010075097500017509007500097500750109017500
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

Code: Select all

#C dx = -1, dy = 1
x = 9, y = 8, rule = R3,C0,S479,606-607,634-715,741,B245,256,262-273,384-409,470,497,499,597,623-624,743-839,NW75750900097575750075017500750975010901750900010900090100097501090175097500750175007575750900097575
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

Code: Select all

#C dx = 1, dy = -1
x = 9, y = 8, rule = R3,C0,S151,280,337,396,406-472,B76,145-151,216-236,275,346,416,477-617,NW00414105414100410541014105414141050005414105010000000105414105000541414105410141054100414105414100
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

Discovering a higher-period chucklebait spaceship in some isotropic cellular automaton with (range-1) Moore neighbourhood is left as an exercise for the student.

Posted: **March 23rd, 2025, 1:34 am**

Here's a rule that hosts some seriously WEIRD spaceships with adjustable periods.

Code: Select all

x = 81, y = 5, rule = B2ce3eknq4ik5-e6e78/S02ik3-ijq4aceryz5-cjqy6ik7
79b2o$80bo$o$80bo$79b2o!

Code: Select all

x = 41, y = 28, rule = B2ce3eknq4ik5-e6e78/S02ik3-ijq4aceryz5-cjqy6ik7
19bobo$19bobo2$19bobo16$2obo33bob2o2$2obo33bob2o6$20bo!

A high period spaceship:

Code: Select all

x = 4, y = 5, rule = B34k5-jnr6cik78/S2aen3jnr4-k678
b2o$obo$b3o$3bo$2b2o!

Another rule with many remarkably small spaceships:

Code: Select all

x = 6, y = 5, rule = B34q5k6akn7c/S2-n3-c4cnw5k6ce7c
5bo$bob3o$2o3bo$bob3o$5bo!

Code: Select all

x = 2, y = 3, rule = B34q5k6akn7c/S2-n3-c4cnw5k6ce7c
bo$2o$bo!

Code: Select all

x = 3, y = 4, rule = B34q5k6akn7c/S2-n3-c4cnw5k6ce7c
obo$3o$3o$bo!

Code: Select all

x = 3, y = 3, rule = B34q5k6akn7c/S2-n3-c4cnw5k6ce7c
3o$2bo$b2o!

Code: Select all

x = 5, y = 5, rule = B34q5k6akn7c/S2-n3-c4cnw5k6ce7c
2ob2o$bobo$o3bo$2bo$b3o!

Posted: **March 23rd, 2025, 3:14 pm**

dl-rs wrote: March 23rd, 2025, 1:34 am Here's a rule that hosts some seriously WEIRD spaceships with adjustable periods.
Code: Select all
x = 81, y = 5, rule = B2ce3eknq4ik5-e6e78/S02ik3-ijq4aceryz5-cjqy6ik7
79b2o$80bo$o$80bo$79b2o!
Code: Select all
x = 41, y = 28, rule = B2ce3eknq4ik5-e6e78/S02ik3-ijq4aceryz5-cjqy6ik7
19bobo$19bobo2$19bobo16$2obo33bob2o2$2obo33bob2o6$20bo!

Easy natural parabolic sawtooth, with minimal recurring population 8 at generations 12*n^2 + 54*n, n >= 0:

Code: Select all

x = 11, y = 2, rule = B2ce3eknq4ik5-e6e78/S02ik3-ijq4aceryz5-cjqy6ik7
3o5bobo$3o!

Posted: **March 26th, 2025, 8:15 am**

A weird double pre-traffic light ship in a strange rule:

Code: Select all

x = 11, y = 3, rule = B3-kn4aijktyz5ciqry6cek7e/S23aceiy4cjqz5jqr6en7e
bo6b3o$2o6bobo$bo6b3o!

And by the way a really frivolous ship in another rule:

Code: Select all

x = 27, y = 12, rule = B3-kqy5r6ei/S2-cn3-ay4cikq5eijnq6aci8
9bo$8b3o$7b2ob2o13b2o$25b2o$25b2o5$o$o$o!

This rule really hosts quite a few weird ships.

Code: Select all

x = 38, y = 25, rule = B3-kqy5r6ei/S2-cn3-ay4cikq5eijnq6aci8
18b2o$18b2o$o17b2o17bo$o17b2o17bo$o36bo$13b2ob2o2b2ob2o$13bo3bo2bo3bo$14b3o4b
3o$14b3o4b3o3$15bo6bo$15bo6bo$15bo6bo3$14b3o4b3o$14b3o4b3o$13bo3bo2bo3bo$13b
2ob2o2b2ob2o2$18b2o$18b2o$18b2o$18b2o!

Code: Select all

x = 27, y = 25, rule = B3-kqy5r6ei/S2-cn3-ay4cikq5eijnq6aci8
6bo2bo$4bo4bo$3b3o2bo2bo2bo$6bo3b3o2bo$10bo$24b2o$2b2o20b2o$2obo$3o12b
2o$2o12b2o$4b3o8b2o$6bo2$21b2ob2o$9bo10b2o3b2o$9bo2b2o7bobobo$9bo$11b
o$12b2o3bo$16b3o$9b2o5bo$9b2o7bo$12bo3bo$10b3o3b3o$11bo5bo!

Another block and pre-traffic light that looks disordered:

Code: Select all

x = 9, y = 5, rule = B2n34cqz5ckny/S23
2o3b3o$2o2bo3bo$4bo3bo$4bo3bo$5b3o!

And then this flipping OWSS:

Code: Select all

x = 4, y = 10, rule = B3-ce4akntwy5cekqy6e7c/S2-n3-aqy4cint5ekr6ei
b2o$o$o2bo$o$o$o$o2bo$2obo$b3o$2bo!

Posted: **March 27th, 2025, 9:33 pm**

Fish, long fish, very long fish (all p1 diagonal c/1), two different gliders (p2 diagonal c/2) and a (capped) p20 diagonal c/1 rake shooting sideways gliders:

Code: Select all

x = 229, y = 180, rule = R3,C0,S10-19,30-34,36-39,50,52-59,75-79,135-144,156-164,177-184,200-204,255,261-269,280-289,300-309,325-329,385-394,405-414,425-434,450-454,511-519,530-539,550-559,575-579,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,1635-1644,1655-1664,1675-1684,1700-1704,1760-1769,1780-1789,1800-1809,1825-1829,1885-1894,1905-1914,1925-1934,1950-1954,2010-2019,2030-2039,2050-2059,2075-2079,2135-2144,2155-2164,2175-2184,2200-2204,2260-2269,2280-2289,2300-2309,2325-2329,2385-2394,2405-2414,2425-2434,2450-2454,2510-2519,2530-2539,2550-2559,2575-2579,B15-19,31,35-40,55-59,75-79,140-144,155,161-164,181-184,200-204,265-269,285-289,305-309,325-329,390-394,410-414,430-434,450-454,515-519,525,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,1640-1644,1660-1664,1680-1684,1700-1704,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,2015-2019,2035-2039,2055-2059,2075-2079,2140-2144,2160-2164,2180-2184,2200-2204,2265-2269,2285-2289,2305-2309,2325-2329,2390-2394,2410-2414,2430-2434,2450-2454,2515-2519,2535-2539,2555-2559,2575-2579,NW007D007D007D007D017D007D017D007D1905197D007D00050005007D007D1905197D007D017D007D017D007D007D007D00
215b2o$214bobo$213bobo$b2o10b2o10b2o184b2obo$obo9bobo9bobo181b3o2bo$bo
9bobo9bobo183bo2bo$12bo9bobo186bo$23bo184b3o$202bo$202b3o2bobo$202b5ob
o$203b2obo$204bo2bo19b2o$207bo18bobo$199bo4bobo18bobo$205bo18bobo$195b
o27bobo$193b3o26bo2bo$194b4o23bo2bo$195b3o21bobob2o$bo18bo173b2o22bo2b
o2bo$2bo18b2o172b3o17b2o2bo$3o17b2o172b2o18bo2b2o$182bobo9b2ob2o14bo4b
o$185bo9bo18bob4o$181b2o13b2o19b3o$184bo2bo8bo21b3o$184bo3bo$183b5o$
183b2o29bo$184bo20bo$183bobob2o14bobobob2o$183bobo2bo13b2o3bob2o$177b
2o4bo4bo15b9o$179bo25b2obob2o$178bo6b2o24bo$178b2o$178b3ob2o$180bo3bo$
184bo$195b3o3bo$197bo2bobo$180bobo10bo6bo$179bobobo9bo2b2o2bo3bo$189b
2o7b5o2bo$185bo5bo3b3ob2o$186bo4bo11bobo$185bo17bo$186bo3b2o$185bo5b2o
bo$191b3obo$195bo2$160b2o$158b2ob2o$162b2o$155bo4b3o$156bo3b2o$156bob
2o7$173bo$172b3o$144bo26b2ob2o$142b2obo25b2o2bo$141bo2bo25bo3bo$141b2o
bo25bo3bo$141b2o2bo$142b2o26b2o$140bo31bo$139bo$143bo$144b3o$141b5o$
146bobo$147b2o$147bob2o$148b2o$125b2o23bobo$125bobo23b2o4bo2bo$125bo
25b2o5b2obo$151bobo2bo3bo$151bo4b3obo$151bo5b3o$155bo$154bo$122b2obobo
$121bo2bo3bobo$95b2o29bob2o$95bobo24bo3b4o$95bo28b2o$121bo3bo$123b2o$
120bo3bo$120bo2bob2o10bo$120b3o2bo9b2o$52b2o81b3o$51bobo81bo2bo6bo$50b
obo12b2o51b2o10bo4b2o9bo$49bobo13bobo50bo10b2o2b2o3bo5b3o$50bo14bo54bo
10b2obo2bo$130bobo5bo$129bo5bo2bo$129bo3bo3bo$124bo4b3o$126bo$125b2o5$
98b2o$97bobo$99bo8$88b2o$87bobo4bo$89bo3bobo$93b2o$111b3o$113bo$112bo
22bo$136bo$101bo32b3o$100bobo$100b2o4$101b3o$103bo$102bo20$125bo$126bo
$124b3o12$127b2o$126bobo$125bobo$124bobo$125bo!

Two-state isotropic CA defined using the following weighted neighbourhood (the weights are in hexadecimal):

Code: Select all

 -- 7d -- 7d -- 7d --	
 7d 01 7d -- 7d 01 7d	
 -- 7d 19 05 19 7d --	
 7d -- 05 -- 05 -- 7d	
 -- 7d 19 05 19 7d --	
 7d 01 7d -- 7d 01 7d	
 -- 7d -- 7d -- 7d --

Posted: **March 30th, 2025, 2:26 pm**

Here are

an extensible snek,
period-256 snek loop, with stable snek reflectors,
a (capped) replicator-based period-64 gun, shooting a certain three-bit p1 orthogonal c/1 spaceship (which isn't a snek),
all in one two-state isotropic cellular automaton defined using a weighted neighbourhood (subset of range-3 Moore neighbourhood, with weights assigned in a fully-symmetric way).

Finding a snek duplicator is left as an exercise.

Code: Select all

#C Weights of neighbours (in hexadecimal):
#C 01 01 -- 01 -- 01 01
#C 01 01 69 69 69 01 01
#C -- 69 69 15 69 69 --
#C 01 69 15 -- 15 69 01
#C -- 69 69 15 69 69 --
#C 01 01 69 69 69 01 01
#C 01 01 -- 01 -- 01 01
#C [[ GRID THEME MCell SHOWGENSTATS ]]
x = 205, y = 91, rule = R3,C0,S148-153,232,234-236,252-259,342-468,569-906,B22-26,132-152,236,258,362,448,574,NW01010001000101010169696901010069691569690001691500156901006969156969000101696969010101010001000101
4o40b4o$4o40b4o$2o44b2o$2o44b2o2$115b4o$115bo2bo$115bo2bo$115b4o8$3bo
2$3bo88b4o$3bo88b4o$3bo90b2o$3bo37b2o51b2o$3b8o30b2o$10bo30b4o$10bo30b
4o$10bo$10bo$10bo$10bo$10bo$10b7o4b6o$16bo4bo4bo$16bo4bo4bo$16bo4bo4bo
$16b6o4bo$26bo$26bo$26bo$26bo$22b5o$22bo$22bo$2o20bo71b2o$2o15b6o71b2o
$4o13bo74b4o$4o13bo74b4o$17bo$17bo$17bo$17b8o$24bo$24bo$24bo24b4o$24bo
24bo$24bo24bo$24bo24bo$24bo24bo$24b8o17bo$31bo17bo$31bo9b9o$31bo9bo$
31b5o5bo$35bo5bo$35bo5bo$35bo5bo$35bo5bo$35b7o19$141bo59b4o$201bo2bo$
23b4o59bo114bo2bo$23bo2bo113bobo58b4o$23bo2bo$23b4o58bobo!

Posted: **April 1st, 2025, 1:17 am**

11c/326d spaceship that is a failed puffer and is in a 2TFL fule.

Code: Select all

x = 23, y = 18, rule = B3-r6e/S23
bo$obo2b2o4b2o3b2o$2o3b2o3bobo3b2o$11bo3$2o9b2o$2o9b2o5$19bo$19b2o$19b
obo$14bo6b2o$14b2o4b2o$14b3o!

Posted: **April 1st, 2025, 5:20 am**

p3 orthogonal c/3

Code: Select all

x = 9, y = 8, rule = B2ce3ac4enqty5-aikr6cn7e/S12ac3-aeq4jtw5cky6ck7c
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

p4 diagonal c/4

Code: Select all

x = 9, y = 8, rule = B2-ae3-cijr4ejnqz5cqry6akn7/S01c2-an3iqr4-ejnz5-cikr6ai7
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

p4 orthogonal c/4

Code: Select all

x = 9, y = 8, rule = B2c3-eir4ceijnwz5-akr6aei7e/S12cek3cei4-acin5-aen6-kn
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

p4 orthogonal c/4 (different direction)

Code: Select all

x = 9, y = 8, rule = B2cin3-einy4-cqz5aijry6-ce7e/S02acn3-cjr4nqryz5-jnr6ekn7c
6bo$5bobo$b2obobo$obobobobo$o4bob2o$b3obo$3bobo$4bo!

confocaloid wrote: March 14th, 2025, 5:35 pm [...] Discovering a higher-period chucklebait spaceship in some isotropic cellular automaton with (range-1) Moore neighbourhood is left as an exercise for the student.

Posted: **April 3rd, 2025, 7:01 am**

xp580_117, weird that it hasn't been mentioned before

Code: Select all

x = 3, y = 3, rule = B2-a3aiky4ci5cy6-c8/S2-k3-ay4aeik5cikqy6n7e
3o$2bo$2bo!

A diagonal one

Code: Select all

x = 8, y = 4, rule = B2-ai3cj4cej5jky6n7/S02ik3ekny4ciyz5-nqy6in7c8
bo$o4bobo$6bo$5bobo!

Posted: **April 4th, 2025, 7:49 am**

Very large fuse-spaceship:

Code: Select all

x = 166, y = 166, rule = ChainedLife0
160.DC$160.DAC$160.A2D$159.A3.DC$157.3A3.DAC$156.3A4.A2D$157.A3.2A$156.
2A2.2A$154.A3.4A$155.A2.A.A$150.2A4.A$148.2A.A5.A$148.3A$147.A.A$147.
2A5.2A$141.A11.A.A$140.A3.2A6.3A$140.2A4.A4.A.2A$142.4A5.2A$137.2A2.3A
4.A$136.A.A.A2.A3.A.A$135.3A.2A.A4.A.A$135.A.A2.2A3.3A$132.4A3.2A3.A.
2A$133.A9.A2.A.A.A$133.A.A6.4A2.2A$136.A5.A.A$128.A16.2A$127.3A13.2A.
A$125.A3.A9.A4.2A$125.A.A12.A.3A$125.A5.A10.A$120.A10.2A7.3A$119.3A11.
A8.A$118.A3.A10.2A$121.A$116.A19.2A$112.A2.A3.A17.2A$111.3A.2A2.A15.A
.A$110.2A.3A.3A3.2A$109.2A3.2A2.A4.A10.3A$110.2A.2A11.A$125.2A$131.A$
101.A28.A.A$101.3A28.2A$99.6A.A.4A14.3A3.A$98.2A3.2A.4A.A3.2A8.2A4.A$
97.2A8.4A4.A10.A$98.A3.2A5.2A7.A8.A.A$99.7A3.2A6.2A6.4A$100.6A18.3A$124.
A.2A$127.2A$88.2A28.2A4.A.2A$87.A.2A16.2A6.3A.A4.3A$86.2A.3A15.A7.5A5.
A$87.8A15.A6.3A$92.3A14.2A6.2A$118.2A$91.2A21.2A$91.A22.2A2.2A$83.A30.
3A.3A$77.4A.A.A14.2A13.3A2.2A$76.A7.2A13.A14.2A3.3A$77.2A23.A11.2A3.A
$78.A22.2A12.A2.2A$82.2A32.3A$117.A2$71.2A$71.A.A17.2A14.2A$70.A2.A17.
A15.2A$66.3A2.3A20.A10.A.2A$67.A.A.2A20.2A9.2A2.2A$68.3A37.3A$69.2A37.
4A$66.A41.A2.A$61.2A3.A41.3A$58.A.2A5.A15.2A24.A$59.A.2A2.3A15.A17.A$
57.A.A2.2A3.A18.A14.2A$58.A4.A.2A18.2A11.A4.A$64.A33.A3.A2$52.2A4.3A41.
A$51.A2.A2.2A2.A40.A$52.2A2.2A2.A.A12.2A22.2A.A$57.3A2.A12.A24.A.A$58.
2A.2A15.A22.A$58.2A.A15.2A$48.A11.A$47.A.A42.3A$42.A.A2.A.A5.2A34.2A2.
A$42.A2.A8.A.2A33.2A.2A$42.A11.A.A10.2A20.2A2.A$43.A.A9.A11.A21.3A$44.
2A24.A19.A.A$47.3A19.2A13.3A4.2A$39.2A6.3A2.2A29.A.A.2A3.A$35.A3.2A4.
2A5.2A29.A.A$35.2A7.A3.2A32.A$34.A.A7.A3.3A32.2A$44.A14.2A15.3A5.2A.A
$45.A4.A8.A15.2A2.A5.3A$40.3A3.A3.A11.A11.A3.A.A5.A$40.4A3.3A11.2A12.
3A2.A3.2A$28.A15.A30.3A.2A2.A2.A$27.A3.2A5.A3.A2.A25.A5.3A4.A$28.2A.A
4.2A2.A29.3A5.A$28.3A6.A2.2A27.A2.A$37.A4.2A7.2A17.2A7.A$38.A.A.2A7.A
13.2A11.A.A$33.A8.A11.A10.2A11.A.A$20.3A11.A6.2A10.2A24.A$19.A.A.A18.
A17.2A.A$19.A5.A14.A.A16.A3.2A.2A4.2A$19.A5.A14.2A17.A3.2A.2A6.A$20.A
38.A6.2A4.2A$21.3A19.2A15.A4.A$11.A31.A13.A3.A3.A2.2A.A$46.A11.A3.3A3.
A3.A$45.2A6.2A4.A9.A$36.2A11.6A2.A.2A9.3A$7.3A22.5A11.A2.A3.A3.2A$8.3A
21.4A12.2A3.A.2A2.2A4.2A$9.2A21.2A31.2A$35.3A15.A3.A$35.A2.A3.A11.3A$
38.A2.2A13.A6.2A$29.A7.2A.2A22.2A$29.2A9.2A9.A11.A$24.A6.A7.3A10.A$23.
A.2A.4A7.3A15.A$24.2A.A2.A.2A22.2A$26.A2.A.2A.A20.A$27.2A.A.A.2A19.2A
$29.A2.A22.2A.A$18.3A.A6.A.A25.A$18.3A.2A6.A.A$18.A2.4A6.2A15.2A$16.4A
5.A5.A.A$15.A9.2A5.A13.A3.A$19.A5.3A18.A4.A$15.3A7.A20.A3.2A$16.A9.2A
19.A3.A$13.3A6.A.A.2A20.3A$8.2A6.A7.4A$7.A13.A2.A$7.A4.2A4.A.2A2.A$10.
A8.A.A.A$8.A.2A7.A$10.2A4.A2.A$10.A5.A$6.A2.A3.2A30.A$6.A.A3.4A23.2A$
6.3A2.A6.A20.3A$9.2A3.A3.A21.2A$9.A6.2A23.A$9.3A5$A$.A!

Posted: **May 5th, 2025, 4:18 am**

There is a p31 oblique (3,2)c/31 spaceship in the lower-right corner of the following object collection, which I think counts as an unusual spaceship:

Code: Select all

#C [[ GRID THEME MCell ]]
x = 122, y = 60, rule = R3,C0,S5-7,17,25-27,35-40,55-57,62,80,128-157,160,165-187,191-250,255,270,307,311,326,383-385,401,403-416,419-425,435,501-512,516-527,530,550,576,638,640,662,671,690,693,701,707,712-713,730,740,763,783,811,826,837,877,879,889-890,893,916-917,931,937,953,957,981,1003,1018,1026-1027,1052-1055,1080,1125,1133,1152-1155,1162,1176,1187,1201,1208,1217,1282,1292,1308,1383,1392,1401,1406,1410,1417,1437,1456-1457,1537,1657,1711,B10-12,30-32,50-52,58-61,128,131,155,160,166,170,262,266,295,315-317,327-330,332,390-391,393,427-428,438,450,456,466,515,534,553,560,567,578,628,663,667,670,683,687,693,696-697,707,711,713,716,755,759,768-771,778-779,784,788-789,827,840,850,860,878,883,892,912,926,928-929,936,950,956,961,986,1010,1013,1018,1020,1027,1030,1034,1037,1047,1067,1076-1077,1081,1086,1091-1092,1107,1131,1133,1137-1138,1140-1141,1146,1152-1157,1168-1170,1206,1232,1252,1256,1263,1273-1275,1290-1291,1301,1306,1312,1318,1336,1356,1381,1394,1437,1451,1506,1511,1535,1537,1541,1581-1582,1831,NW00007D017D0000007D7D197D7D007D7D0005007D7D011905000519017D7D0005007D7D007D7D197D7D0000007D017D0000
35b2o4bob2o16b4o12bob2o14bo2b4ob2o2$82bobo2$61bobo6$120b2o3$121bo3$24b
o$23bobo17bo$24bo$43bo57bo$43bo16bo40bo$24bo$101bo$b2o57bo$o2bo97bo$o
2bo3bo16bo35bo40bo18bo$b2o21bo96bo$75bo43b3o$7bo$24bo50bo15b2obob2o$9b
o50bo$75bo$60bo$9bo33bo31bo$26bo16bo$25bobo32bo$26bo16bo9$73bo$72bobo$
73bo6$116bo$115bobo$116bo$41b2o10bo13b2o$12bo28bobo9b2o11bo2bo8b2o13bo
$7bobo3bo26bob2o9b2o11bo2bo8bobo11bobo17b2o$7bo4bo28bo11bo13b2o10b2o
12bo!

In addition to that oblique zebrawise spaceship, there are

orthogonal spaceships (p1 c/1, p2 c/2, p8 c/8, p9 c/9),
diagonal spaceships (the p4 c/4d glider from CGoL and an alien p14 c/7d spaceship),
several objects from CGOL (in addition to the glider, there are tub, pond, ship),
a statorless rotating p52 oscillator,
several other oscillators (p11, p16, p17, p22, p76, p88),
some alien still-lives and probably some other stuff to be discovered (I didn't find any gun so far),

... in a (nontotalistic) two-state isotropic cellular automaton, which is defined using the following fully-symmetric weighted neighbourhood (weights are given in hexadecimal; '19' means 25; '7D' means 125):

Code: Select all

-- -- 7D 01 7D -- --
-- 7D 7D 19 7D 7D --
7D 7D -- 05 -- 7D 7D
01 19 05 -- 05 19 01
7D 7D -- 05 -- 7D 7D
-- 7D 7D 19 7D 7D --
-- -- 7D 01 7D -- --

Note in particular that here the four cells (±1;±1) aren't neighbours of the cell (0;0),
even though several objects from CGoL can be found in this cellular automaton (glider, pond, tub, ship) and CGoL is defined using the Moore neighbourhood where the four cells (±1;±1) are neighbours of the cell (0;0).

In case you only need the oblique spaceship (and don't care about the rest of objects), it can be found in a cellular automaton with a simpler definition (the weighted neighbourhood is the same):

Code: Select all

#C preserved in 2^5010 cellular automata with the same weighted neighbourhood:
#C optional birth conditions (2474): 3-4, 8-9, 14, 16-19, 21-24, 28-29, 33-34, 38-39, 42-49, 52-54, 58-60, 62-64, 66-124, 128-129, 133-134, 138-139, 142-149, 153-154, 158-159, 163-176, 178-179, 183-184, 188-249, 253-254, 258-259, 262-264, 266-274, 278-279, 283-284, 287-299, 303-304, 306, 308-310, 312-339, 341-374, 378-379, 383-384, 387-390, 392-399, 404, 407-409, 413-424, 427-430, 433-499, 503-504, 507-509, 512-524, 528-529, 532-534, 536-549, 552-554, 556-624, 628-629, 633-635, 637-649, 652-654, 657-674, 677-679, 681-749, 752-755, 757-774, 777-779, 782-799, 801-804, 806-874, 877-880, 882-899, 901-904, 906-924, 926-999, 1001-1025, 1027-1249, 1251-2624
#C optional survival conditions (2536): 2-4, 8-9, 12, 14, 16-20, 22-24, 29, 33-34, 38-39, 42-49, 53-54, 58-59, 61-124, 127-129, 132-134, 137-139, 142-149, 152-154, 158-159, 162-164, 166-174, 178-179, 183-184, 186, 188-249, 252-254, 258-259, 262-274, 277-279, 283-284, 287-290, 292-304, 306-314, 316-374, 376-379, 382-384, 386-399, 402-404, 407-409, 412-415, 417-499, 502-504, 507-624, 626-629, 631-654, 656-754, 756-2624
x = 6, y = 6, rule = R3,C0,S5-7,25-27,35-40,55-57,130-160,165-250,255,385,401-416,501-506,B10-12,30-32,50-51,61,131,155,160,391,NW00007D017D0000007D7D197D7D007D7D0005007D7D011905000519017D7D0005007D7D007D7D197D7D0000007D017D0000
5bo$5bo2$bo$obo$bo!
#C [[ ZOOM 6 GRID THEME Catagolue ]]

confocaloid wrote: May 5th, 2025, 1:05 am
b-engine wrote: May 5th, 2025, 12:45 am Period 22 oscillator: [...]
[...] Further, changing the neighbourhood as follows (and updating the birth conditions and the survival conditions accordingly) makes an actual p22 oscillator: [...]

Posted: **May 7th, 2025, 7:51 am**

interesting (22,1)c/74 which in some phase just a B and block:

Code: Select all

x = 1, y = 1, rule = B3-c7e/S2-n34i
2b3o$bo2bo$b2obo3$2o$2o!

ConwayLife.com

Unusual spaceships

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