Rules Supporting Unusual Spaceships

[confocaloid]

Rules supporting unusual spaceships

This thread is intended to be a collection point for cellular automaton rules that support unusual spaceships (henceforth abbreviated SUS rules). Currently there is no widely accepted unambiguous definition of 'unusual spaceship'. Nevertheless, several types of SUS rules are known.
I think "an oblique spaceship commonly occurring in a non-exploding rule" describes one interesting type of an unusual spaceship.
(See also Day and Knight rule group and other related forum threads linked at the end of this post.)

Emergency meeting

natural amogus in generation 58

This rule seems pretty SUS:

Code: Select all

x = 7, y = 9, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
4bo$5b2o$4b2o4$obo$o2bo$obo!
#C [[ ZOOM 8 X 10 Y 10 ]]

Shown above is an oblique (8,6)c/71 spaceship, made out of the two most common gliders borrowed from tlife repeatedly colliding with each other.

Amazingly, another two-glider collision in the same rule is a gun made out of spaceships (GMOS):

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#C 8-barrelled p524 glider gun made out of two gliders repeatedly colliding with each other
x = 29, y = 33, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
bo$2bo$3o28$26b3o$26bo$27bo!
#C [[ MAXGRIDSIZE 9 ZOOM 6 ]]

This gun shoots diagonal c/4 gliders. A gun for the c/5o is possible as well:

Code: Select all

#C p524 T gun
x = 100, y = 52, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
14bob2o19b2obo$14b2obo19bob2o2$59bob2o19b2obo$59b2obo19bob2o6$2obo$ob
2o2$96bob2o$96b2obo4$27b2o$27bo$24b2ob2obo$26bo2bobo39b2o$22bo3b2ob2ob
o37bobo$21bob3o3b4o$23bob5obo35b6obobo$22b4o3b3obo35bob2ob2o$22bob2ob
2o3bo37b3o4bo$23bobo2bo38b2ob2ob2ob2o$24bob2ob2o36bo4b3o$27bo41b2ob2ob
o$26b2o40bobob6o2$72bobo$72b2o4$ob2o$2obo2$96b2obo$96bob2o6$14b2obo19b
ob2o$14bob2o19b2obo$53bo$52b3o4b2obo19bob2o$52b3o4bob2o19b2obo!
#C [[ MAXGRIDSIZE 9 ZOOM 4 ]]

So, is the oblique (8,6)c/71 antelopeship actually made out of spaceships that can be shot from guns?
Let's call such a spaceship an AMOGuS (Antelopeship Made Out of Gunnable Spaceships).

Code: Select all

#C A gun that shoots three different types of spaceships:
#C the c/4d glider, a 2c/10o spaceship, and a (8,6)c/71 AMOGuS.
x = 150, y = 104, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
73b2o25b2o$73bo27bo$10b2o25b2o35bo25bo$10bo27bo34b2o25b2o$11bo25bo$10b
2o25b2o5$10bobo$9b4o$10bo2bo77bo8b2o$90b2o3b3ob2o$12b2o49b2o25bobo2b4o
b2o8b2o$64bo29bo4bo10bo$2o8bo36b2o14bo30bo4bo11bo$bo6b3o36bo15b2o28bob
o2b2o10b2o$o7b2o38bo45bob2ob2o$2o6b2o37b2o43bo2b6o$90b2ob7o$89b3ob3o$
94bobobo$29b2o62bo2b2o$29b2o62b3ob3o$28b3o61bobobobo$92b4o3bo$25b2obob
o44bobob3o11b3obobo$75bo3b4o$76bobobobo$75b3ob3o$18bobob2o53b2o2bo$76b
obobo$18b3o58b3ob3o$18b2o55b7ob2o$18b2o54b6o2bo$74b2ob2obo$63b2o10b2o
2bobo28b2o$63bo11bo4bo30bo$2o37b2o6b2o15bo10bo4bo29bo$o38b2o7bo14b2o8b
2ob4o2bobo25b2o$bo36b3o6bo26b2ob3o3b2o$2o36bo8b2o24b2o8bo2$35b2o2$35bo
2bo$19bo16b4o$21bo14bobo$17bo5b2o$21b3o$18bob4o$20b3ob2o$19b3ob2obo$
19bo2b2o2bo13b2o39bo$22bo2bo13b2obo36bo2b2o$23b2o13bobo2bo37bo$41b2o$
38b3o3$3b2o36bo8b2o$4bo36bobo6bo$3bo38b3o6bo$3b2o37b2o6b2o4$21b2o$20bo
2bo$20b3o8$32b3o$31bo2bo$32b2o4$3b2o6b2o133bo$3bo6b3o131b2obo$4bo6bobo
129bo3bo$3b2o8bo129bo2b2o$144b2obo$144bo$14b3o126b3o2bo$12b2o127b2o3b
2o$11bo2bobo128b4o$12bob2o$13b2o131bo$147b2o$149bo$144b2o2bo$13b2o130b
3o$14bo$13bo$13b2o16bobo$31b3o$31bo!
#C [[ MAXGRIDSIZE 9 THEME LifeHistory ZOOM 2 X 20 Y 15 ]]

Are there other known AMOGuSes? Is there an INT rule with two different AMOGuSes?

Amusingly, the same rule also supports a period-27 oscillator that looks like a checkerboard in two different phases:

Code: Select all

#C Two phases of a p27 oscillator resemble checkerboards
x = 22, y = 7, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
15b7o$5o10bobobobo$obobo10b2obob2o$2ob2o10bobobobo$obobo10b2obob2o$5o
10bobobobo$15b7o!
#C [[ ZOOM 12 ]]

Further reading

• Lists of interesting gliders (archived copy, Fano Experimental Web Server)
• Ships with speed between c/2 and c (forum thread)
• Spaceships in B23 rules (forum thread)
• Guns in Life-like cellular automata (forum thread)
• Spaceships in Life-like cellular automata (forum thread)
• Eppstein's Most Wanted (forum thread; see also the "Most Wanted" list by D. Eppstein)
• Non-monotonic spaceships (forum thread)
• Gliders and replicators in Neumann neigborhood {4,4} CA (forum thread)
• Spaceships in B1e or B1c rules (forum thread)
• Counterfeit Gliders (forum thread)
• Smallest Spaceships Supporting Specific Speeds (5s) Project (forum thread)
• Rules with Mutant XWSSes (forum thread)
• Speeds for 1D spaceships (forum thread)
• Spaceships made up of other spaceships (SMOS) (forum thread)
• Rules with small adjustable spaceships (forum thread)
• Slowest one cell spaceships of each state count (forum thread)
• Slowest 2-state spaceships of each cell count (forum thread)
• Day and Knight rule group (forum thread)
• Outer-totalistic hexagonal rules with spaceships (forum thread)
• Push- and Pull-Ships (forum thread)
• Outrunning the Glider (forum thread)
• "Smallest" INT rules supporting particular speeds (forum thread)
• Miscellaneous Spaceship (collections) in Other Cellular Automata (forum thread)
• Let’s have a spaceship for every possible speed in a nonrelativistic INT rule! (forum thread)
• Glider 3736 (forum thread)
• Wandering spaceships and manipulation via ruleswitches (forum thread)
• Is there anyone among us who can identify a certain SUS space? (a Math.SE question)

(edit: added a few links)

[snowman]

Evolves into aesthetically pleasing oscillator in B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei:

Code: Select all

x = 154, y = 117, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
9bob2o$9b2obo19$2o$bo$o20bo$2o19b2o$21bobo$22b2o$23bo64$130bo$130b2o$
130bobo$131b2o19b2o$132bo20bo$152bo$152b2o19$141bob2o$141b2obo!

Unfortunately I haven't found any more unusual spaceships (US) in that rule, among US and AMoGuS already in it.

EDIT: A c/24 diagonal spaceship appeared:

Code: Select all

x = 8, y = 7, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
4b2o$2bob2obo$2b2obo$2b3ob2o$5b2o$2o$2o!

[confocaloid]

A few interesting interactions: two collisions, stable eaters and a p162 oscillator in the same rule

Code: Select all

x = 131, y = 98, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
29b3o$30bo9$24b2o$23b3o68bo12bo$24b2o69bo10bo$93b3o10b3o27$6bo49bo49bo
$7bo49bo49bo$5b3o47b3o47b3o4$2bo49bo49bo$o2b2o45bo2b2o45bo2b2o$2bo49bo
49bo3$121bo$122bo$120b3o8$127bob2o$127b2obo2$72b2o$16bo15bo39b2o$16b2o
13bobo$16bo15b2o26$45b5o29b5o$45bobobo20bo8bobobo$45b2ob2o20b3o6b2ob2o
$45bobobo20bo8bobobo$45b5o29b5o!

A long-lived symmetric explosion

Code: Select all

x = 4, y = 4, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
3bo$b2o$3o$bo!

Edit: an attempt to make a p27 reflector/splitter

Code: Select all

x = 233, y = 52, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aeiHistory
21.B69.B59.B69.B$18.7B63.7B53.7B63.7B$16.11B59.11B49.11B59.11B$16.11B
59.11B49.11B59.11B$15.3B2A3B2A3B57.3B2A3B2A3B47.3B2A3B2A3B57.3B2A3B2A
3B$.A13.3BAB3ABA3B43.A13.3BAB3ABA3B33.A13.3BAB3ABA3B43.A13.3BAB3ABA3B
$2BA12.4BA3BA4B42.2BA12.4BA3BA4B33.BA12.4BA3BA4B42.2BA12.4BA3BA4B$3AB
10.5BABABA5B41.3AB10.5BABABA5B31.3AB10.5BABABA5B41.3AB10.5BABABA5B$.
4B10.4BA3BA4B43.4B10.4BA3BA4B33.4B10.4BA3BA4B43.4B10.4BA3BA4B$2.4B9.
3BAB3ABA3B44.4B9.3BAB3ABA3B34.4B9.3BAB3ABA3B44.4B9.3BAB3ABA3B$3.4B8.
3B2A3B2A3B45.4B8.3B2A3B2A3B35.4B8.3B2A3B2A3B45.4B8.3B2A3B2A3B$4.4B8.
11B47.4B8.11B37.4B8.11B47.4B8.11B$5.4B7.11B48.4B7.11B38.4B7.11B48.4B
7.11B$6.4B8.7B4.B9.B36.4B8.7B41.4B8.7B51.4B8.7B$7.4B10.B3.B2.4B4.2B3.
2B34.4B6.B3.B3.B41.4B10.B3.B51.4B10.B3.B$8.4B4.17B.4B.B.4B33.4B4.11B
41.4B4.12B40.D5.B3.4B4.11B$9.4B2.17B2.11B34.4B2.13B11.B29.4B2.15B36.
2DBD3.3B3.4B2.13B$10.20B3.3B2A3B2A3B34.19B7.7B27.23B32.B2DBD8B2.19B$
11.19B3.3BAB3ABA3B35.19B4.2BA5BA2B26.23B30.BDBDB2D8B2.19B$12.19B4.2BA
3BA2B38.19B3.2BABABABA2B27.22B30.2B5D7B.B2.19B$11.22B.3BABABA3B.B32.B
.21B.B5AB5AB25.6B2D14B32.37B$12.20B3.2BA3BA2B34.24B.3B2A3B2A3B26.5B2D
13B33.B2D34B$11.21B.3BAB3ABA3B31.24B2.2B2A5B2A2B25.21B27.7B2D34B$11.
21B.3B2A3B2A3B30.41B24.21B27.43B$11.4B2C15B2.11B31.9B2C15B.2B2A5B2A2B
25.4B2C16B26.26B2C16B$10.5B2C16B.4B.B.4B31.9B2C14B2.3B2A3B2A3B24.5B2C
17B25.26B2C16B$9.25B2.2B3.2B34.24B2.B5AB5AB23.24B26.43B$8.4B2.10B2.3B
2.4B4.B37.23B4.2BABABABA2B23.23B41.29B$7.4B4.8B9.4B41.21B6.2BA5BA2B
22.7B.15B42.29B$6.4B7.2B.B12.4B39.22B8.7B23.7B2.8B2.6B41.28B$5.4B25.
4B37.4B3.15B12.B25.7B4.4B5.7B41.28B$4.4B27.4B35.4B3.17B36.7B5.B.B6.3B
.4B41.4B.22B$3.4B29.4B33.4B4.16B36.7B3.7B5.3B2.4B39.4B3.14B2.5B$2.4B
31.4B31.4B6.15B35.7B2.B3A3B3AB3.3B3.4B37.4B4.7B2.B2.B4.3B$.4B33.4B29.
4B8.2B.9B36.7B3.3A5B3A3.3B4.4B35.4B5.6B3.7B2.B$4B35.4B27.4B15.6B36.6B
3.B4A3B4AB2.3B5.4B33.4B6.6B.11B$69.4B17.B.3B36.5B4.BABA5BABAB2.3B6.4B
31.4B8.4B2.4B3A4B$69.3B20.3B36.4B5.13B2.3B7.4B29.4B10.2B2.5B3A5B$69.
2B21.3B35.4B5.15B.3B8.4B27.4B15.5BABA5B$92.3B34.4B7.13B2.3B9.4B25.4B
16.2B3A3B3A2B$92.3B33.4B8.BABA5BABAB2.3B10.4B23.4B16.3B2A2BA2B2A3B$
92.3B32.4B9.B4A3B4AB2.3B11.4B21.4B18.2B3A3B3A2B$92.3B31.4B11.3A5B3A3.
3B12.4B19.4B19.5BABA5B$92.3B30.4B12.B3A3B3AB3.3B13.4B17.4B20.5B3A5B$
92.3B29.4B15.7B5.3B14.3B16.4B22.4B3A4B$92.3B28.4B19.B8.3B15.2B15.4B
23.11B$92.3B27.4B29.3B16.B14.4B26.7B$92.3B26.4B30.3B30.4B30.B$92.3B
25.4B31.3B29.4B$92.3B24.4B32.3B28.4B$92.3B23.4B33.3B28.3B$92.3B22.4B
34.3B!

EDIT: A c/24 diagonal spaceship appeared:

Code: Select all

x = 8, y = 7, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
4b2o$2bob2obo$2b2obo$2b3ob2o$5b2o$2o$2o!

A failed backrake:

Code: Select all

x = 25, y = 21, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
8bo$10bo$6bo3bo$12bo$11bobo$11b2obo$9bo3bo$10bob2o$6bob2o2bo$6bob4o$7b
o2$3b3o$b2o2bo$b2obo2b2o4bo5b2o$2b2o4bo2b2o4b4o2bo$6b3o3b2o3bobobo2bo$
2o3bo12b2ob4o$2o3bo15b4o$16b2o3b3o$16b2o3bo!

[b-engine]

This reminds me of this 9c/156, which the only purpose of the block is to destroy the extra block produced.

9c/156, made of only B-turner and a block:

Code: Select all

x = 10, y = 5, rule = B3/S23|B2ei3aejr6a/S23-c4intz
6bobo$6bob2o$6b3o$2o$2o!

[confocaloid]

So, is the oblique (8,6)c/71 antelopeship actually made out of spaceships that can be shot from guns?
Let's call such a spaceship an AMOGuS (Antelopeship Made Out of Gunnable Spaceships).

Here is a p133 AMOGuS gun, using sparkers made out of pairs of a p133 oscillator which appeared in the D2_x census:

Code: Select all

x = 89, y = 54, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
o2$52bo19bo$50bo2bo17bo2b4o5bobo$59bo4b2o4bo5bo5bo$49bo2b2o5b2obob2o
11b3o3bobo$30b2o18bobo5bobob2o7bo2bo3b2o4bo$30b3o21bo2bobo3b2o6bo6b4o$
7b2o5b2o2b3o10b2o4b3o18b3o10b2o3b3o2bo$6b3o4bobob4o13bo4bo16b6ob2o6bob
o2b4ob3o$6b3o4bobob4o12b3o3bo14bob2o2b3ob2o7b11o$12bobo2b3o5b2o5b5o16b
ob2o3b2obo9b3ob4o2bobo$11bobob2o8b3o3b2o2b3o13b2ob3o2b2obo12bo2b3o3b2o
$10b5obob3o5b2o2b2o2bob3o13b2ob6o14b4o6bo$9bob2ob2obo2bo8b2o5b2o18b3o
13bo4b2o3bo2bo$7b2ob2o3b2ob2o8b3obo2b2o2b2o11b2o3bobo2bo8bobo3b3o$6bo
2bob2ob2obo11b3o2b2o3b3o11b2obobo5bobo7bo5bo5bo$6b3obob5o13b5o5b2o9b2o
bob2o5b2o2bo3bobo5b4o2bo$10b2obobo11bo3b3o17b2o4bo26bo$7b3o2bobo12bo4b
o30bo2bo$6b4obobo4b3o6b3o4b2o28bo$6b4obobo4b3o13b3o$6b3o2b2o5b2o15b2o
5$31bobo25bo$31bo2bo24b2o$31bobo25bo2$70b4o$74bo$69bo5bo$15b3o53b2obo$
3b2o4bo5b4o54bo$3bo3b3o3bo2b3o5b2o5b2o2b3o$6b3o2bo2b2ob2o4b3o4bobob4o$
5b3obobo3bo7b3o4bobob4o$4b8obo2bo12bobo2b3o$4b2obo3b2o15bobob2o$3b2ob
2o3b5o11b5obob3o$7bo5bo12bob2ob2obo2bo50bo$5b5o3b2ob2o6b2ob2o3b2ob2o
49bobo$8b2o3bob2o6bo2bob2ob2obo47bobo2b2o$4bo2bob8o6b3obob5o48bo2bo$5b
o3bobob3o11b2obobo49bobo$2b2ob2o2bo2b3o9b3o2bobo$2b3o2bo3b3o3bo5b4obob
o4b3o$2b4o5bo4b2o5b4obobo4b3o$3b3o17b3o2b2o5b2o3$88bo!
#C [[ MAXGRIDSIZE 9 THEME MCell ]]

Edit: p36 OMOS (OMOGuS) from the D8_4 census:

Code: Select all

x = 16, y = 16, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
4bobo2bobo$5b2o2b2o$5bo4bo2$o14bo$b2o10b2o$2o12b2o3$2o12b2o$b2o10b2o$
o14bo2$5bo4bo$5b2o2b2o$4bobo2bobo!

[rutabaga]

...
Edit: p36 OMOS (OMOGuS) from the D8_4 census:

Code: Select all

OMOGuS RLE

This phase actually looks like it's an emergency meeting without a table lol

Code: Select all

x = 20, y = 20, rule = B3-ckq4ceqtwy5aiqy6cen7e8/S2ace3-kq4nqwz5-ci6aei
8b4o$7bo4bo$7b6o$6b2ob2ob2o3$3bo12bo$b3o12b3o$obo14bobo$ob2o12b2obo$o
b2o12b2obo$obo14bobo$b3o12b3o$3bo12bo3$6b2ob2ob2o$7b6o$7bo4bo$8b4o!

---
also, here is a 2c/146d spaceship in one of my generations rules:

Code: Select all

x = 4, y = 6, rule = 235-aci67/2ik34-aet678/4
2.A$.ABA$A2BA$A.A$2AC$2A!

---
edit: i realize this is a puffrake, not a spaceship, but it's speed of (2,13)c/57 is kinda funky and i wanted to put it here. plus, in many phases, it's literally just a glider variant and a bloq

Code: Select all

x = 19, y = 26, rule = 2-i34ejwy5-ay/2-ak3-c4cetz5aciky7/11
2A$2A20$14.2AB$14.A2CE$14.ABGFJ$15.FG$16.IJ!

[confocaloid]

This rule seems pretty SUS:

This is one of the most astonishing ships I've ever seen. I'm still struggling to grasp how this isn't an oscillator

Code: Select all

x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

Here's the pop-plot

(crossposting an orthogonal 14c/85265 spaceship)

[NimbleRogue]

This ship has a active region stuck to a still life

Code: Select all

x = 8, y = 6, rule = B3aijq4aqrw6n/S2-k3-akn4-y5-k7e8
2b4o$3bo$2obo$bob5o$2obo2b2o$3b2o!

Based on this rule by domokoa on discord here are some cool looking ships
https://discord.com/channels/3579222555 ... 5889057793
The backend to this is odd

Code: Select all

x = 4, y = 3, rule = B2n3acikq4ajky5cekr6en7c/S2-ik3cinqr4-cejn5-aeky6-e7e
3bo$4o$3o!

Tiny knightship

Code: Select all

x = 4, y = 4, rule = B2i3ai4ai6cn/S2ace3-acj4-cejnw5ijq6n
3o$3o$3bo$2b2o!

The tiniest of them all

Code: Select all

x = 2, y = 4, rule = B2n3air4a5ik/S1c2ae3enqry4kry5j
bo$2o$bo$o!

Some crazy things happen in this subspace

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x = 6, y = 3, rule = B2i3aciry4cenqtyz5ci6kn/S01c2-ci3ekqry4aikqrwy5-nry6kn7e
o2bobo2$5bo!

8c/410o with a max pop of 23

Code: Select all

x = 4, y = 4, rule = B2in3-ejn4jnqty5cinry6ek7c8/S01c2-ci3eikqr4acirwy5-inqr6ekn8
bobo2$bo$o!

[confocaloid]

These two high-period spaceships look different, but their mechanisms are similar.
In both cases, there is a temporary pair of reactions that oscillate with high periods close to each other (so that the phase of the entire spaceship is reduced to a combination of phases of the two oscillating reactions).
Are there other known examples of this?

14c/85265o

This is one of the most astonishing ships I've ever seen. I'm still struggling to grasp how this isn't an oscillator

Code: Select all

x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

[...]

By watching evolution of that orthogonal 14c/85265 spaceship, one can see the following:

• At T = 0, the spaceship looks as shown above.
• At T = 9808, the spaceship temporarily settles into a long thin "ruler". Two opposite long edges of the "ruler" oscillate at high periods that are close to each other. The top edge oscillates with period 546. The bottom edge oscillates with period 550.
• The two edges continue to oscillate almost independently from each other until T ~ 83300..83400, when the ends of the "ruler" break and the shape of the pattern changes.
• From T = 84074, the pattern begins slowly shrinking, while the middle part oscillates with period 14.
• At T = 85265, the initial phase of the spaceship reappears, translated 14 cells down.

14c/9172o

This rule has two RRO's with two slightly different periods. The left has period 220 and is 1/2/4/5-fold, while the right has period 224 and is 1/2/4/7/8-fold.

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x = 45, y = 8, rule = B2k3acijr4ijqty5k6n8/S2aek3-acey4ciqy5ackn6n7e8
3o$o$3o$2bo38b3o$39b2ob3o$39bo$39bobo$40b2o!

That rule has an orthogonal 14c/9172 spaceship:

Code: Select all

#C 14c/9172 spaceship (LaundryPizza03, apgsearch, 2022-05-02)
#C https://catagolue.hatsya.com/object/xq9172_397/b2k3acijr4ijqty5k6n8s2aek3-acey4ciqy5ackn6n7e8
x = 3, y = 4, rule = B2k3acijr4ijqty5k6n8/S2aek3-acey4ciqy5ackn6n7e8
3o$obo$2bo$bo!

• At T = 0, the spaceship looks as shown above.
• At T = 157, the spaceship temporarily settles into a pair of noninteracting oscillators, with high periods close to each other (p220 and p224).
• At T = 4431, the p220 and the p224 collide with each other.
• At T = 4586, the initial phase of the spaceship reappears, only mirror-reflected and translated.

[NimbleRogue]

These two high-period spaceships look different, but their mechanisms are similar.
In both cases, there is a temporary pair of reactions that oscillate with high periods close to each other (so that the phase of the entire spaceship is reduced to a combination of phases of the two oscillating reactions).
Are there other known examples of this?

Yes here is one 76c/39052o

Code: Select all

x = 44, y = 13, rule = B3aeijr4ej5r6ci7c8/S2-i3-ay4einrtyz5jnr6cn7
b2o$obo$3o7$40b3o$39bo2bo$39b2o2bo$42b2o!

Also for the 14c/85265o Here is what I understand about it
The bottom reaction repeats every 550, and every time the bottom is repeated the top goes forward 4 gens, This happens 133 times before breaking. Over time the top recedes from the center, and then it doubles back, going towards it, the pattern finally breaks when the top has reached the center, This also explains why the graph fluctuates the least in the center

I still need to understand the difference between the sides because sometimes sides seem to be the same reaction just at different generations

[Mathemagician314]

Compared to the other spaceships in this thread, this isn't very SUS, but it seemed SUS enough to me (7c/114):

Code: Select all

x = 10, y = 4, rule = B3-k4-aqrty/S2-ae3acjkq4acirtyz5ijkq6-n8
2b2obo$4ob5o$4ob5o$2b2obo!
[[ TRACK 7/114 0 GPS 30 ZOOM 16.8 ]]

The same rule also has a 3c/31 which pushes a beehive:

Code: Select all

x = 6, y = 13, rule = B3-k4-aqrty/S2-ae3acjkq4acirtyz5ijkq6-n8
2b2o4$bo2bo$2b2o$2b2o$bo2bo$b4o$o4bo$ob2obo$b4o$2b2o!
[[ TRACK 0 3/31 GPS 30 ZOOM 14 ]]

This rule is kind of strange -- most soups stabilize very quickly, unless they have (or have parts that evolve to have) D2_+2 symmetry, in which they explode.

[NimbleRogue]

This failedrep ship, forms 4 perfect copies of itself at gen 400

Code: Select all

x = 3, y = 6, rule = B3aeijr4ekz5kr7c/S2-ci3-a4einrtz5ajr6-ak7c
2o$obo$obo$2bo$obo$2o!

This moves in an odd way

Code: Select all

x = 29, y = 18, rule = B3-cnqy4j6cn/S2-ci3-aky4einrtz5ce6cin7c
3bo$b4o$o3b2o$o$3o11$26bo$26bobo$27b2o!

Creates copies of itself, that when destroyed break into smaller ships

Code: Select all

x = 5, y = 4, rule = B3-cnqy4k5cr6c7c8/S2-ci3-ak4einrtyz5-ijqy6acn7c
2bo$b3o$o2b2o$2o!

Cool failedrep

Code: Select all

x = 24, y = 13, rule = B3-cnqy4k5c6i8/S2-i3-a4ceinrtz5cknr6-ik78
21bo$20b3o$19b2obo$19bo$19b3obo3$2bo$b2o$2o$bobob2o$2b2o2bo$4b2o!

Builds ponds in front of itself, and then destroys them

Code: Select all

x = 3, y = 3, rule = B3-cnqy4jkz5r6c7c8/S2-i3-aky4ceinrtz5acjk6ace7c8
bo$b2o$2o!

Less Interesting, but still cool

Diagonal fakeout

Code: Select all

x = 1, y = 1, rule = B3aeijr4jkz5e/S2-ci3-aky4einrtyz5cejkn6-kn7c8
2o$b2o$bo!

Oblique fakeout

Code: Select all

x = 1, y = 1, rule =  B3-cnqy4z5ce/S2-i3-aky4ceinrtz5er6aci7
2b4o$b2o2bo$2o2b2o$bo$2bo4$41bobo$40bob2o!

Creates many giant p4 oscillators

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x = 9, y = 4, rule = B3aeijr4jz5k6c/S2-i3-a4einrtyz5aejkn6-kn78
2o$bo5b2o$b2o3b2o$2bo3bo!

Creates a ton of double u-pentominoes

Code: Select all

x = 18, y = 7, rule = B3aeijr4ekz5e6n7c/S2-ci3-ak4ceinrtz5aer6-kn7c
12b2o$12bo2bo$13bo2b2o$3o11bo2bo$o14b3o$4o$3bo!

[NimbleRogue]

More goodies based off of this rule viewtopic.php?f=11&t=771&start=150#p176580
This goes through a ton of phases including: massive growth, p2 backend with a chaotic frontend, and "tall and skinny"

Code: Select all

x = 4, y = 5, rule = B2eik3-eqy4kqrty5-akqy6-c7/S2-ai3cjk4kqz5-kry678
o$bobo2$bobo$o!

This has both amoeba, and diagonal checkerboard mechanics

Code: Select all

x = 4, y = 4, rule = B2in3-ekq4cjkqr5iny6-ci7/S2cek3cejny4ciknyz5-qr6-in78
obo$2bo$2obo$2bo!

This pushes a frontend

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x = 8, y = 8, rule = B3aijn4ijr5inq6ae8/S1e2ce3jn4itwy5-eqr6-n78
6bo$2bobo2bo$b6o$2b5o$b6o$b6o$obob4o$6bo!

This forms many half boxes in it's cycle

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x = 16, y = 16, rule = B2e3-ceky4cqr5cijnq6aen7e8/S2en3cj4cinq5acijn6-in78
3b4o$bob4obo$2b8o$9o$10o$9o$10o$2b8o$b10o$2bobob5o$8b4o$10bobo$11bobob
o$12b3o$13b3o$12bobo!

This is nonadjustable, although it looks adjustable at a first glance

Code: Select all

x = 14, y = 14, rule = B2eik3-ekqy4cjkrt5in6aek78/S3kr4iy5acijn6-in78
bobobobobobobo$ob11o$2b12o$2b11o$3b11o$2b11o$3b11o$2b11o$3b11o$2b11o$
3b11o$2bobobobob3o$13bo$12bo!

Saving the best for last. This subspace has a crazy edge reaction which gives stuff like this 2c/1054d that's bounding box is exactly 14x17 for 247 gens

Code: Select all

x = 14, y = 17, rule = B2-ac3-cky4jkrwyz5einqr6ace7e8/S2eik3cjknq4cknw5-ekqr6-i78
4bobo3bobo$3b6obob2o$2b11o$3b9obo$2b11o$b11obo$13o$12obo$2b11o$4b8obo$
6b6o$7b6o$6b7o$7b7o$6b7o$7b7o$6bobobobo!

Different space
This is such an odd diagonal

Code: Select all

x = 3, y = 4, rule = B2ce3aeqr4ekrtwz5cknqr6cin8/S02aik3-ikqy4aikrtz5iqy6aei
b2o$2o2$bo!

This is not a mealworm anymore, it is just weirdly connected pieces

Code: Select all

x = 9, y = 3, rule = B2ci3aqr4ntz5jn6ai7c8/S02aik3-ciky4aijr5iny6ain8
o4bo$b3o4bo$3b3o!

Weird oblique

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x = 6, y = 3, rule = B2ce3akr4tw6aci7c8/S02-ce3-ciy4aikrwz5iny6aik8
2bo$5bo$3o!

Different space
This is built on a odd wick

Code: Select all

x = 3, y = 3, rule = B2eik3in4et5e/S01c2ac3in4ct5ei6ci
o$2bo$o!

The backend on this makes no sense

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x = 9, y = 3, rule = B2ei3i4eit5ey6c/S012ac3aen4ac5e6c
o3bo$3o2bo2bo$o3bo!
!sim 96

I'm just posting one failedrep esque ship here, but there are many more in the attached file.

Code: Select all

x = 23, y = 3, rule = B2e3ai4e5eiy/S12-kn4ace5i6i
obo16bobo$bo17bo2bo$obo16bobo!

There were also a few SMOS, and SMOOAS, and lots of other goodies, but I don't want to overload the post

[confocaloid]

This CA supports the fireship, which is an unusual spaceship imo.

Code: Select all

x = 115, y = 37, rule = B3-ceky4ceq5eij6n7c8/S23-c4cey5ek6ei7e
89bo$90bo$88b3o$33b4o2$33bo2bo74bobo$18bo13bob2obo73b2o$2bo14bobo12bo
4bo74bo$b3o13bobo$bob2o12b2o13bo4bo$2bobo27b2o2b2o$2b3o27b6o$33bo2bo$
34b2o$34b2o2$31b2o4b2o$31b2o4b2o$31b2o4b2o7b3o7b3o7b3o$46bobo7bobo7bob
o$33bo2bo10bo9bo9bo$45b2ob2o5b2ob2o5b2ob2o$45b2ob2o5b2ob2o5b2ob2o$55bo
3bo5bo$3b3o$o2b3o$2o2b2o$bobo$b3o2$89bo$90bo$88b3o2$112bobo$112b2o$
113bo!

edit 1 (2024-08-26):

Small c/5o

Code: Select all

x = 16, y = 19, rule = B3-ceky4ceq5eij6n7c8/S23-c4cey5ek6ei7e
b2ob2o4b2ob2o$b2o2bo4bo2b2o$b2o10b2o2$4b3o2b3o$4bobo2bobo$4b3o2b
3o$3bo8bo$bobobo4bobobo$ob2obo4bob2obo$ob3o6b3obo$b2o4b2o4b2o$2b
o3b4o3bo$2b2o2b4o2b2o$4b2o4b2o$b4o6b4o$2b3ob4ob3o$6bo2bo$7b2o!

p15 traffic light hassler?

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x = 19, y = 19, rule = B3-ceky4ceq5eij6n7c8/S23-c4cey5ek6ei7e
9bo$8bobo$4bo3bobo3bo$3bobo3bo3bobo$2bo2bo7bo2bo$3b2o3b3o3b2o$8b3o2$b
2o2b2o5b2o2b2o$o2bob2o2bo2b2obo2bo$b2o2b2o5b2o2b2o2$8b3o$3b2o3b3o3b2o$
2bo2bo7bo2bo$3bobo3bo3bobo$4bo3bobo3bo$8bobo$9bo!

It's original form had ponds instead of loaves.
[...]

Here is a period-12 mod-6 orthogonal c/6 spaceship:

Code: Select all

x = 7, y = 8, rule = B3-ceky4ceq5eij6n7c8/S23-c4cey5ek6ei7e
2bo$b6o$obo3bo$2b4o$2b2o$2b2o$2b2o$2b2o!
#C [[ ZOOM 20 THEME MCell TRACKLOOP 12 -2/12 0/12 ]]

[hibiscus]

Small c/5o

Code: Select all

x = 16, y = 19, rule = B3-ceky4ceq5eij6n7c8/S23-c4cey5ek6ei7e
b2ob2o4b2ob2o$b2o2bo4bo2b2o$b2o10b2o2$4b3o2b3o$4bobo2bobo$4b3o2b
3o$3bo8bo$bobobo4bobobo$ob2obo4bob2obo$ob3o6b3obo$b2o4b2o4b2o$2b
o3b4o3bo$2b2o2b4o2b2o$4b2o4b2o$b4o6b4o$2b3ob4ob3o$6bo2bo$7b2o!

p15 traffic light hassler?

Code: Select all

x = 19, y = 19, rule = B3-ceky4ceq5eij6n7c8/S23-c4cey5ek6ei7e
9bo$8bobo$4bo3bobo3bo$3bobo3bo3bobo$2bo2bo7bo2bo$3b2o3b3o3b2o$8b3o2$b
2o2b2o5b2o2b2o$o2bob2o2bo2b2obo2bo$b2o2b2o5b2o2b2o2$8b3o$3b2o3b3o3b2o$
2bo2bo7bo2bo$3bobo3bo3bobo$4bo3bobo3bo$8bobo$9bo!

It's original form had ponds instead of loaves.

Unrelated, but B2cei3ce4a6ck/S12aei3i5cj6ak has an "unusual spaceship" which can occur naturally, and has minpop 4. (see top-left corner)

Code: Select all

x = 64, y = 64, rule = B2cei3ce4a6ck/S12aei3i5cj6ak
b2o2bob4o2bob3ob2o5b2ob2o5b2obobob2obo3b4ob5o2b2o$b2ob2obo3bob2o3bob2o
2b2o6b4o3b2ob2obo3bo3b2o2b3o2bo$2obo2bo4b4o4b2o4b4ob2obo4b2o2bobo3b2o
b2obo2b2o3b2o$3o2b3ob2o2bo2b6ob7o2bo3b4ob2ob2obobobob7o$o6b4o3bobobo2b
2o2bo2b3o2bob4obobo3b2o2b4o3bob2o2bo$2o2bo2bob3obob4o2b2o3bob2obob2ob
obo2b2o4b2o3b3o2bo2b2o$2ob6obo2bobob2obo4b4o2b2obo2b2o3b3obob2o3b2obo
4bobo$o4bo2b2ob2obo3b4obobob6o2b3o2b4o2bo3b7obo3bo$ob4obo2bo3b2ob2o3b
ob3obo3bob4o3bo2b3o6b2obo2bo2bo$bobo3bobobob2obobobobob5obobob2o9bobo
b2obo3b5obo$2o3b5o2bo3bob2ob3o7b2ob2o3b3o2b2o2b2o2b7obo2bo$2ob2o3b2ob
3o8bobobob2o2bob3obobob2ob2obo2bo2b2ob5obo$obob2o2bobob2obobo3bobo5b2o
2bob2obo6bobo3b2obo2b5obo$bobobo2bobobo2b2o2b2ob5o2b2ob8obo4bobobo2b3o
b3o3bo$bob3o4b3ob2o3bobo4bo3b4obob2ob3ob2obob2o2bo2bobo2b2o$o2b2o2bob
obobobo2b2obo2b5o3b2o3bo2bob2o2bo3b3obo2bob2o2bo$bo2b2o5bo2b3o3bobob2o
b4o4bo4bo3b3o2bob2ob2obobo$3b4obobo8bo2bobo2bobo3bobo3b7ob2obob2o3bob
4o$o3b2o4bo2bobo2bo2bo2b2o2bob2obo4bo2b2ob8obo6bob2o$5o2b2o2bo3b2ob2o
2b2o3bo2bo2b2obo3bobo5bobo2bo5bobobo$bob2obobob2o7b4o3bo3bo2bo2b2obob
o3b4obo4bob7o$o4b2o3b4ob5obob2obo4bo2bo2b2ob3o2bob3obo7bo2bo$b2obobo4b
o3b2o2bo7b2o3b2o2b2o2bo3bo4b3o3b2ob3o$o3bobo3bob2ob3o6b2o3b2obob2ob2o
bob2obob2ob2ob2o7b2o$ob2o3bobo2b5o3bo2bobobob2obo2bobo4bo10b3obobob3o
$bo5b6o2b2o2bobob3ob2ob2o2bo2bo12b2obob3obobo$3o2bob3o2bobobo2b2o2b2o
2bobobo3b3ob4ob2ob2o3b2o2bob6o$bo3b2o2b2o2b7ob4ob2obob3ob5obo2bo2b2ob
o4b4obo$ob2o2bo3bo3bo3bo3bo3b4ob2o8b2o2b3ob2obo2b3o3b3o$o4b2o3b2o2bo7b
2o3bobo3bo5b2o5bobo5bo3bobo$5bo2b4obob2o2bo3b6o4b2ob4o3bobo2b4o2bo6bo
$5o3bob2o2b2o2b2obo2bobobo3bo2bo2b8o5b2o3b2ob2obo$2obo3bo3b6ob3o8bo2b
ob5o4b2ob4ob3obobo3b3o$3b2obo3bobob5ob2obo2bob3o7bobobobo3bob2o2b2o2b
2obobo$bob2ob4o3b2ob4obo2b5obo6b2obob3o8bobob3o2b2o$obo2b2o3b2o2b2ob3o
bob3ob4o2bo6b2ob6obob2obo3b2o$o2bo4bobobo7b5ob3o4b2o2b2ob4ob3o2b2o2bo
3bo2bo$3bob3o5bobob2ob2obo2b6obob8obo3bo3bob2obo4bo$b2ob3o2bob2o3b5o10b
5o3b2obob4ob5obo4b2o$2b5o2bob5o3b2ob2obob2ob2o2b2o2b2ob2o3bo6bobob3ob
3o$2o13bobobob2obo2b2o2b2ob2o6b4obo2bo3bobo2bo2b2o$3b4obo5bobobo2b3o2b
obo2bo2bo3b3obob2o3b3o4bob3o$3ob4o2bo2b4obobo2bob2o3b3obo4b2o4bo4b4ob
2o3bobo$b2o3b2o3b9obobo2b2o4b4o2bo3b2o4b2o5bo2b2o2b2o$b2obo6bo2bo2bo3b
3o2b4ob2o5bob6obob2o2b4ob3obo$o3b2o3b2obo2bobob2o4b3o3b2o2b2ob2o3bobo
bo2bo3bo2bo2b2o$2ob3o2b2obo4bob2o5b5ob2obo2bobobo2bob2o8b3ob4o$2o3bob
3obo2b2ob2obo2b2ob2o3b2o5b2ob3obob3obobobo2bob4o$2o2bo2bo5bo3bob6o2b2o
3bo2bo2b2o3bob3obobobob2o2bo$bobobob5o2bobo4b3obo2b3ob8ob4o2b4o2b5o3b
3o$b2o3bo3bo2b2o3bo2bob2obo2b2o4b6obo7b3obobo2bobo$4bo2bob3o3b2o4bo2b
2o2bobobobobo2bo3b2obo2b2o2b2obo2bo3bo$b2ob8obo2bobobo2bo3b2o2b2ob2ob
o4b2o2bo2b8obobo$bo4bobo2b4o3bobo4b2ob2o4b3o5bo2b2o2b4ob3ob4o$4b2o3bo
2b2o6b3obobo3bob4obo3bob5ob4o2b3ob2obo$o2bo7b7o4bobob2o3b3o4bo4bobobo
b2obo3b2ob2o2bo$bo7b3ob2obo2bob2o4bo2bobob2o3b6o2bo3bo3b2o2b2o$3bo3b3o
4b2obob4o3b4ob3o2bob5o2bo3b4o4bobob2o$7b3ob4o2b2ob3o3b2ob3obo2b5o2bo2b
ob2ob2obob3ob4o$bo2bob2o3b2o2bo2bobo2b3obo3b4o2b2obobo4b3obobo2bobo2b
obo$b6obobobob2ob3ob2obo2bo2bo3bob2o2b2o4b2ob4ob3obobo2bo$ob3o8b6ob3o
b3obobobob4obo3bobob3obo2bobob3o$b2o2bo4b2ob3o2bobo2b6o2b3obo4bo3b3ob
2obo3bo2bo3bo$3b3obo3bob2ob2obob6ob3ob4ob2obo2b2o3b3obob2o2bo2b3o!

edit: p18

Code: Select all

x = 13, y = 9, rule = B2cei3ce4a6ck/S12aei3i5cj6ak
3b2o3b2o$2o9b2o$o11bo$2b2o$3bo$2b2o$o11bo$2o9b2o$3b2o3b2o!

[H. H. P. M. P. Cole]

Not very SUS, but it is an interesting SMOS:

Code: Select all

x = 3, y = 5, rule = B2ek3einq4cn5c6ack/S02-en3knr4anrz5y6a
bo$obo$obo$2bo$2bo!

The reason why I deem it as interesting is because that the pattern-encoding part of its apgcode, 61u, contains the two digits that form the x and y components of its slope.

Catagolue census

======

This R2 von Neumann rule has a c/7o ship that looks non-monotonic but is actually monotonic, as well as a c/4o that seems like it shouldn't exist:

Code: Select all

x = 17, y = 5, rule = R2,C2,S4-5,B4-5,NN
b2o9b2ob2o$o3bo7bo3bo$o3bo7bo3bo$o3bo7b5o$b4o!

[CARuler]

world's biggest spark:

Code: Select all

x = 61, y = 40, rule = 123/345678/6|236/3456/6
5$18.A$17.B.B$17.D.D7$9.BD15.DB8.A$8.A19.A6.3A7.D$9.BD15.DB8.A8.D$47.
3A$27.A19.AE2A$26.ABA19.EC2A$25.2AB2A17.2ACA$24.A5BA15.AD2A$23.2AB3AB
2A14.3A$17.D.D2.A3BA.A3BA$17.B.B3.2AB3AB2A$18.A5.A5BA$25.2AB2A$26.ABA
$27.A!

small knightship:

Code: Select all

x = 5, y = 11, rule = Seeds3 Life3
.2A$.2CB$A2.A$C3.A$4.C2$3.C$C2.C$A2.B$.2C$.2A!
@RULE Seeds3 Life3
@COLORS
0 0 0 0
1 148 0 255
2 255 255 0
3 255 0 0
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {1,2}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
var j = {0,1,2,3}
var k = j
var l = j
var m = j
var n = j
var o = j
var p = j
var q = j
var r = {0,3}
var s = r
var t = r
var u = r
var v = r
var w = r
var x = r
0,1,1,1,r,s,t,u,v,1
0,2,1,1,r,s,t,u,v,2
0,2,2,1,r,s,t,u,v,2
0,2,2,r,s,t,u,v,w,1
0,2,1,r,s,t,u,v,w,2
2,j,k,l,m,n,o,p,q,3
1,j,r,s,t,u,v,w,x,3
1,a,b,c,r,s,t,u,v,2
1,a,b,c,d,j,k,l,m,3
3,j,k,l,m,n,o,p,q,0

anther knightship:

Code: Select all

x = 6, y = 7, rule = R2,C2,S,B0,2-3,8,NW0101010001000001000101010
$5bo$3bo$bo2$bo3bo!

this rake was too cool to miss:

Code: Select all

x = 10, y = 5, rule = 23/34678/8|0123578/3/8
.ACAGE$2A2C2G$.2ADG$4.DAGE.G$4.2AGE.G!

[confocaloid]

anther knightship:

Code: Select all

x = 6, y = 7, rule = R2,C2,S,B0,2-3,8,NW0101010001000001000101010
$5bo$3bo$bo2$bo3bo!

That rulestring is incorrectly processed by LifeViewer (for reasons explained in the forum post viewtopic.php?p=192570#p192570). The actual CA defined by the rulestring doesn't support your knightship.

Again, please do not use that rulestring in posts until the bug is fixed, because any such patterns will break in future.

Here is the same pattern with a different rulestring, which should work correctly in LifeViewer in future when the bug is fixed:

Code: Select all

x = 6, y = 7, rule = R2,C0,S1,6-7,B,N@54422a|R2,C0,S1-8,B1,4-7,N@54422a
$5bo$3bo$bo2$bo3bo!

[NimbleRogue]

This spaceship is very funny looking. It is made from a failed oscillator stretcher.

Code: Select all

x = 13, y = 7, rule = B2ei3aeir4rz5eq6i7c8/S02ak3-knqr4einrt5cinry6cei8
o2$o9bobo$6bo$o9bobo2$o!

Surprisingly this was found completely independently from the pattern is asteroids

[jimmyChen2013]

Not itself an interesting ship per se, but a lot of interesting dynamics surrounding collisions of a particular (4,3)c/11 engine.

(There's might be some repost here from a while ago)

For example this collision-based log growth (best run in golly hashlife):

Code: Select all

x = 28, y = 45, rule = B2e3acijk4acjqr5k6ci7c8/S1c2-in3nr4actw5-ciqy6cei8
2o$bo$2o36$25bo$23b2ob2o$22bo4bo$22b2o2b2o$26bo$22bobo$22bobo!

132-barrel collision-based gun:

Code: Select all

x = 17, y = 17, rule = B2e3acijk4acjqr6c7c8/S1c2-in3knr4a5-acny6cin7
12b3o$6b2o4bo3bo$6b2o4bo3bo$13b3o3$b2o$b2o5$3o$o2bo$o2bo$3bo$b2o!

Complicated collision gun:

Code: Select all

x = 136, y = 136, rule = B2e3acij4acjrt6c7c/S1c2-in3knr4act5-ay6kn7c8
2b3o$o3bo4b2o$o3bo4b2o$b3o2$13b2o$13b2o5$13b3o$12bo2bo$12bo2bo$12bo$
13b2o105$122b3o$120bo3bo4b2o$120bo3bo4b2o$121b3o2$133b2o$133b2o5$133b
3o$132bo2bo$132bo2bo$132bo$133b2o!

checkerboard explosion:

Code: Select all

x = 14, y = 14, rule = B2e3aijky4ajrt5ai6c7c8/S1c2-in3nr4actw5aejqr6cen7c8
3bo$3b2o$3b3o$obobo$2ob2o$2bo3$11bo$9b4o$9bob3o$8bobo$9bo$9b2o!

Another dirty replicator:

Code: Select all

x = 19, y = 19, rule = B2e3acijk4acjqr5k6cei7c8/S1c2-in3nr4actw5aejnr6i78
6b2o$2o4b2o$o3b2obo$4ob2o$2b2o7$16b3o$15bob2o$15b2o$16bo$14b2o$14b2o$
15bobo$15b3o!

Related frontrake:

Code: Select all

x = 6, y = 6, rule = B2e3acijk4acjqr6ce7c8/S1c2-in3knr4a5-anqy6cin78
2ob2o$o4bo$5bo$o4bo$o3bo$b3o!

Unrelated spaceshooter front rake:

Code: Select all

x = 74, y = 25, rule = B2e3acijk4ajr6c8/S1c2-in3knr4az5-ay6cn7c8
63b4o$61b8o$10b2o49bo6bo$8b2o2b2o47b8o$8bo4bo49bo2bo$7b2o4b2o48b4o$8bo
4bo48bo4bo$9b4o48b8o$61b2o4b2o$62bob2obo$5b2o8b2o47b2o$5bo10bo$bo3b2o
8b2o43b3o4b3o$obo57bobo4bobo$obo$18b2o$15bobobo$15b4o40b2o8b2o$56b3obo
8bob3o$20b3o33bo16bo$19bo3bo32b2obo10bob2o$18bo5bo33bo12bo$18bo5bo$18b
o5bo$19b2ob2o!

[confocaloid]

There may be bugs in CGoL:

Code: Select all

#C [[ MAXGRIDSIZE 9 THEME MCell GRID ]]
x = 270, y = 188, rule = R5,C0,S226,228-229,257-260,265,273,339-341,344,346-350,352-354,369-393,481-505,593-617,705-729,817-841,931-953,B34-45,146-157,232-236,241,258-269,339-350,352-354,370-381,482-493,594-595,597-605,712-717,820,823,936,NW01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010171717101010101010101017100710101010101010101717171010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101
189b2o$189b2o14$13b3o13bo14bo14bo15bo$13bo14b3o13bo14b2o12b2o$14bo29bo
14b2o14b2o$60bo13bo17$13b2o13b2o13b2o13b2o13b2o14bo118b4o$13b2o13bobo
12bobo12bo14bo14bobo116b2o2b2o$29bo14b2o14bo13bo13bobo115b2o4b2o$59b2o
12b2o14bo115b3o4b3o$204b4o4b4o$205b3o4b3o$205b4o2b4o$206b8o$206b8o$
207b6o$207b6o$140b2o$139b4o$137b4ob2o$136b4o4bo$135b4o5b2o$135b4o5b2o$
135b4o4b3o$136b4o2b3o$137b8o$138b7o$139b5o$140b2o9$263b3o$261b7o$259b
10o$259b5o4bo$259b5o4b2o$259b5o4b2o$259b5o4bo$259b10o$261b7o$263b3o16$
107bo$105bobo$106b2o2$148b5o$148b6o$147b7o$146b9o$145b4o3b3o$144b5o4b
3o$144b4o5b2o$145b4o4b2o$145b5o2b2o$147b6o$149b3o19$56b4o$55b6o$55b7o$
54b9o$54b4o2b4o$53b4o4b4o$53b3o6b4o$53b2o6b4o$54b2o4b5o83bo$55b2o2b6o
84bo$56b7o28b6o50b3o$57b4o30b7o$90b8o$89b9o$88b4o3b4o$87b4o5b3o$87b4o
6b2o$87b5o5b2o$88b5o3b2o$88b6ob2o$90b6o$93bo29$190bo$188bobo$189b2o10$
2o$2o!

This cellular automaton supports the p166 Bosco and bugs, while also supporting several small objects from Conway's Life.

A glider-emitting fuse:

Code: Select all

#C [[ THEME MCell GRID ]]
x = 320, y = 58, rule = R5,C0,S226,228-229,257-260,265,273,339-341,344,346-350,352-354,369-393,481-505,593-617,705-729,817-841,931-953,B34-45,146-157,232-236,241,258-269,339-350,352-354,370-381,482-493,594-595,597-605,712-717,820,823,936,NW01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010171717101010101010101017100710101010101010101717171010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101
3b3o$2b6o$b9o$2o3b5o$o5b5o$o5b5o$2o3b5o36bo$b9o35bobo$2b6o37bobo$3b3o
40bo3$80bo$79bobo$79bobo$80bo3$114bo$113bobo$113bobo$114bo3$148bo$147b
obo$147bobo$148bo3$182bo$181bobo$181bobo$182bo3$216bo$215bobo$215bobo$
216bo3$250bo$249bobo$249bobo$250bo3$284bo$283bobo$283bobo$284bo3$318bo
$317bobo$317bobo$318bo!

Bugs and spaceships, including two oblique bugs:

Code: Select all

#C [[ THEME MCell GRID ]]
x = 139, y = 126, rule = R5,C0,S226,228-229,257-260,265,273,339-341,344,346-350,352-354,369-393,481-505,593-617,705-729,817-841,931-953,B34-45,146-157,232-236,241,258-269,339-350,352-354,370-381,482-493,594-595,597-605,712-717,820,823,936,NW01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010171717101010101010101017100710101010101010101717171010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101
133b2o4$130b6o$129b7o$129b8o$128b9o$128b4o2b4o$127b4o4b3o$127b3o5b4o$
127b3o5b3o$129b2o4b2o$130b2o2b2o$131b4o22$5b2o45b6o36b2o$4b5o43b7o34b
5o32b4o$3b7o41b8o33b6o31b6o$2b8o40b9o32b8o29b8o$10o40b4o2b4o31b4ob4o
28b8o$4o4b3o39b4o3b3o30b4o3b3o27b4o2b4o$4o6bo39b4o4bo30b4o4b4o26b3o4b
3o$5o4b2o40b3o3b2o30b4o5b2o26b4o4b4o$5o4bo42b6o32b4o3b2o28b3o4b3o$b5o
2bo44b4o35b2o3b2o29b2o4b2o$3b5o85b4o32b2o2b2o$5b2o87b2o34b4o9$25b2o$
24b5o$23b7o$22b8o$21b5ob4o$20b5o3b3o$20b4o5b2o$21b4o4b2o$21b5o3bo$22b
7o$24b4o102b5o$129b7o$129b7o$128b9o$128b4ob4o$128b3o3b3o$128b2o5b2o$
129b2o3b2o$130b5o$131b3o$45b4o$44b6o$43b7o$42b9o$41b4o3b3o$40b5o4b3o$
40b5o5b2o$41b4o5bo$41b5o3bo$43b6o$45b3o10$60b3o$60bo69b5o$61bo67b7o$
129b7o$128b9o$128b9o$128b9o$128b3o3b3o$128b3o3b3o$129b2o3b2o$130b2ob2o
18$132bo$131b3o!

Here is a Bosco-based p498 glider gun (capped):

Code: Select all

#C [[ MAXGRIDSIZE 9 THEME MCell GRID ]]
x = 193, y = 193, rule = R5,C0,S226,228-229,257-260,265,273,339-341,344,346-350,352-354,369-393,481-505,593-617,705-729,817-841,931-953,B34-45,146-157,232-236,241,258-269,339-350,352-354,370-381,482-493,594-595,597-605,712-717,820,823,936,NW01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010171717101010101010101017100710101010101010101717171010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101
191b2o$191b2o43$144b3o$142b6o$140b6o2bo$140b5o4bo$140b4o5bo$140b4o4b2o
$140b5ob4o$140b10o$142b7o$143b5o$144b3o44$153b4o$152b6o$151b8o$150b9o$
149b5o3b3o$149b5o4b2o$149b5o4b2o$150b5o3bo$151b4ob2o$153b4o32$47b5o$
46b6o$46b7o$45b9o$45b3o3b4o$45b2o4b5o$45b2o4b5o$45bo4b5o$46bo3b5o$47b
6o$48b3o49b6o$100b6o$99b8o$98b9o$97b5o2b4o$97b4o4b3o$97b5o4b2o$98b4o4b
o$99b4o2bo$100b5o21$186b6o$186b6o$186b6o$186b6o$186b6o$186b6o7$2o$2o!

I managed to find a synthesis of the glider from colliding bugs (see the guns above).
However, I could not find a synthesis of any bug from colliding gliders; this remains an open problem.

The weighted neighbourhood (shown below) is defined to distinguish between range-1 neighbours (each weighted 113 decimal = 71 hexadecimal) and all other neighbours (each weighted 1). Both the unmodified Conway's Life, and the unmodified Bosco, can be defined with the same weighted neighbourhood.

Code: Select all

01 01 01 01 01 01 01 01 01 01 01
01 01 01 01 01 01 01 01 01 01 01
01 01 01 01 01 01 01 01 01 01 01
01 01 01 01 01 01 01 01 01 01 01
01 01 01 01 71 71 71 01 01 01 01
01 01 01 01 71 00 71 01 01 01 01
01 01 01 01 71 71 71 01 01 01 01
01 01 01 01 01 01 01 01 01 01 01
01 01 01 01 01 01 01 01 01 01 01
01 01 01 01 01 01 01 01 01 01 01
01 01 01 01 01 01 01 01 01 01 01

[jimmyChen2013]

Not itself an interesting ship per se, but a lot of interesting dynamics surrounding collisions of a particular (4,3)c/11 engine.
...

I rulegolfed for a while and found more interesting things.

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!

Breeder with nice-looking pattern:

Code: Select all

x = 16, y = 14, rule = B2e3acijk4acjqr5k6cei7c/S1c2-in3nr4atw5aejnr6i78
o$b2o$2b2o$bo$bobo2$b4obo$bo2bob2o$3bo$b2o3b2o$2b2obobobobo$2b3o2bo3b
2o2bo$4bob2ob2obo$13bo!

Sparse high-period p5062 gun based on production of a far-apart pair of the oblique ship:

Code: Select all

x = 14, y = 14, rule = B2e3acij4ajqry5k6e78/S1c2-in3nr4anw5ajnqy6in7c8
2b2o$4bo$bo2bo$bo2bo$b3o5$2bo7b3o$b2o6bo3bo$o2b2o4bo3bo$bobo5b3o$2bo!

Collision-based linear replication:

Code: Select all

x = 20, y = 20, rule = B2e3acij4ajqry5k6e78/S1c2-in3nr4anw5ajnq8
b2o$3bo$o2bo$o2bo$3o12$16b3o$15bo3bo$15bo3bo$15b3o!

[NimbleRogue]

This 930c/13703o SMOSASL(Spaceship made of Spaceships and Still Lives) looks very weird

Code: Select all

x = 34, y = 3, rule = B2cei3ckq4cintwz5-aik6cin8/S1c2aek3-ijry4-ejnqw5-acn6-i8
2o30b2o$2o31bo$2o30b2o!

[CARuler]

This SMOSASL looks very weird

Code: Select all

x = 34, y = 3, rule = B2cei3ckq4cintwz5-aik6cin8/S1c2aek3-ijry4-ejnqw5-acn6-i8
2o30b2o$2o31bo$2o30b2o!

what does the SASL mean

[b-engine]

what does the SASL mean

Spaceship And Still Life.