Miscellaneous Discoveries in Other Cellular Automata

[Kazyan]

The rule B138/S has an interesting property:

Code: Select all

x = 27, y = 31, rule = B138/S
20bo6$26bo4$8bo2$8bo12$18bo6$o7bo!

So long as all live cells have the same parity of both their x and y coordinate--thus looking like a grid of dots--this will hold true at every even generation thereafter.

EDIT: It appears to be emulating a non-totalistic rule, too.

[BlinkerSpawn]

It appears to be emulating a non-totalistic rule, too.

A rule which I believe to be B13-aery5akry8/S03aekry5cijnq7. [citation needed]

[SamskyCats]

redacted for privacy

[Saka]

huge c/2

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x = 11, y = 10, rule = B2in34cnw6c/S2-c3-aj4acijt
4b3o$3bo3bo$2bo5bo3$4b3o$o9bo$o9bo$bo3bo3bo$2b3ob3o!

[BlinkerSpawn]

huge c/2

Code: Select all

x = 11, y = 10, rule = B2in34cnw6c/S2-c3-aj4acijt
4b3o$3bo3bo$2bo5bo3$4b3o$o9bo$o9bo$bo3bo3bo$2b3ob3o!

Backrake:

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x = 56, y = 10, rule = B2in34cnw6c/S2-c3-aj4acijt
4b3o42b3o$3bo3bo40bo3bo$2bo5bo38bo5bo3$4b3o42b3o$o9bo34bo9bo$o9bo34bo
9bo$bo3bo3bo36bo3bo3bo$2b3ob3o38b3ob3o!

There are also several two-barreled siderakes and three-barreled rakes created by puffing this reaction:

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x = 4, y = 4, rule = B2in34cnw6c/S2-c3-aj4acijt
b2o$o2bo$o2bo$b2o!

[BlinkerSpawn]

Unusual oscillator hybridization:

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x = 45, y = 5, rule = B3-j/S2-k34-a
3bo19bo18b3o$2b3o17b3o17b3o$o3bo15bo3bo15bo3bo$3o17b3o17b3o$bo18b3o17b
3o!

(Sorry for double-post but new rule)

[Saka]

2 generations guns in similar rules

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x = 6, y = 6, rule = 23-ar4/2e3aijkq/5
3.A$.3AB$2ADB2A$AB.DA$A2B2A$4A!

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x = 5, y = 5, rule = 23-ar4/2ce3aijq/5
2.2A$.A2BA$2A.CA$.ABA$2.A!

[Saka]

Pentadecathlon..?

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x = 13, y = 4, rule = B2in3-jn4aew5c6/S2-k3-a4-r
4o5b4o$o2bo5bo2bo$o2bo5bo2bo$4o5b4o!

EDIT:
HOLY BEEP

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x = 63, y = 18, rule = B2in3-jn4aerw5c6/S2-k3-a4-r
57bo2bo$8bo46b2o2b2obo$6b5o44bo3b3o$6b2ob2o43b2obo2b2o$7b3o45bo3b3o$8b
o46b2o2b2obo$8bo48bo2bo$2b2o9b2o$b2obob5obob2o$2b13o$bo2b9o2bo38bo2bo$
o15bo35b2o$3b3o5b3o38b2o2b4o$2b4o5b4o38b6o2$56bo2$52bob2o!

I need a spaceship

[Saka]

Wow the lower right corner is amazing

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x = 6, y = 6, rule = B2ai/S03
2bo$4b2o$o2bobo$2bobo$bobo$b2o!

Kinda looks like this:

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x = 1, y = 1, rule = 1/1/5
A!
#C [[ AUTOSTART AUTOFIT ]]

For full effect, run at 8^1 in Golly
1/1/4 and 1/1/6 are similar

[drc]

Almost Reflectorless Rotating Oscillator found by M.I. Wright. It can't be multiplied 4-ply though:

Code: Select all

x = 23, y = 19, rule = B35j6i/S2-i3
4bo$3bobo$2bo3bo$2b2ob2o2$19bo$2bo16b2o$bobo15b2o$o$b3o15b3o$22bo$2b2o
15bobo$2b2o16bo$3bo2$16b2ob2o$16bo3bo$17bobo$18bo!

[Saka]

"Exotic" c/3

Code: Select all

x = 5, y = 6, rule = B2cein3aijny/S2eik3aijnr45k
2b2o$5o$3bo$4bo$2bo$2bo!

C/6 with good-sized spark

Code: Select all

x = 4, y = 4, rule = B2k3aeijn4aw/S2-cn3inr4
b2o$4o$4o$o2bo!

[AbhpzTa]

c/2n p2n spaceships for any integer n>1:

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x = 10, y = 38, rule = B2c3ae4ai56c/S2-kn3-enq4
bo2bo$ob3o$bo2bo5$bo3bo$ob4o$bo3bo5$bo4bo$ob5o$bo4bo5$bo5bo$ob6o$bo5bo
5$bo6bo$ob7o$bo6bo5$bo7bo$ob8o$bo7bo!

[Saka]

c/2n p2n spaceships for any integer n>1:

Code: Select all

x = 10, y = 38, rule = B2c3ae4ai56c/S2-kn3-enq4
bo2bo$ob3o$bo2bo5$bo3bo$ob4o$bo3bo5$bo4bo$ob5o$bo4bo5$bo5bo$ob6o$bo5bo
5$bo6bo$ob7o$bo6bo5$bo7bo$ob8o$bo7bo!

ABHPZTA DOES IT AGAIN PEOPLEEEEEEEEEEEEEEEEE!!

[muzik]

Well that basically destroys my whole orthogonal collection thing, if you can manage to get a similar rule that does orthogonal speeds as well.

[bprentice]

c/2n p2n spaceships for any integer n>1:

Well done!

Brian Prentice

[Saka]

c/2n p2n spaceships for any integer n>1:

Well done!

Brian Prentice

You know it's goid when Brian Pentrice says "Good Job".

Well that basically destroys my whole orthogonal collection thing

Well not really! Just add "unique" to the rules of the collection! You can also use these as spacefillers for missing speeds.

[Gamedziner]

c/2n p2n spaceships for any integer n>1:

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x = 10, y = 38, rule = B2c3ae4ai56c/S2-kn3-enq4
bo2bo$ob3o$bo2bo5$bo3bo$ob4o$bo3bo5$bo4bo$ob5o$bo4bo5$bo5bo$ob6o$bo5bo
5$bo6bo$ob7o$bo6bo5$bo7bo$ob8o$bo7bo!

Now you just need to find an infinite set of spaceships with speed c/(2n+1) p(2n+1) so all 1c/x speeds will have an example.

[muzik]

I wonder, will elementary adjustable directions in a Life-like CA be possible?

EDIT: that sexy rule also has an elementary c/5:

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x = 3, y = 3, rule = B2c3ae4ai56c/S2-kn3-enq4
2bo$3o$2bo!

Doesnt seem to be an explosive rule, so apgsearching it might be a fun activity

[muzik]

Soups that release some of the homologous spaceships:

c/4

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x = 16, y = 16, rule = B2c3ae4ai56c/S2-kn3-enq4
booboboobbbbbbob$
bbboobbbobbbobbo$
obbbbobbbboobobb$
boobobbooboooobo$
oobbobboobobbbob$
ooobboboboobobbo$
oooobbbboobbooob$
bobobbbobooboobb$
boobbbbboobbboob$
bbbbboobbobobbbo$
ooboooobobooobob$
boooboooobbbbbob$
oooooboobbobbobo$
oboobbbbbbobbbob$
boboooboobbobbob$
bbooboooobbbbooo!

c/6

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x = 16, y = 16, rule = B2c3ae4ai56c/S2-kn3-enq4
ooobooobbobooboo$
oboooobobobobboo$
obobbbbbobbbbobb$
boboobbooboooobb$
bobooooboobobooo$
bbobbobobobobbbo$
ooboobobbbbobbbo$
obbooboboobboobo$
oooboboobbboobbb$
ooboobbobboboooo$
bbbboobboboooboo$
oobbbooboobobobb$
oobobbooooobooob$
oooboobobbobooob$
obbbooooooobobob$
ooboobobbbbobbob!

Are c/2 and c/3 possible in this rule?

[drc]

Adding S1e gives this entertaining thingy:

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x = 6, y = 5, rule = B2c3ae4ai56c/S1e2-kn3-enq4
2o$3b2o$5bo$3b2o$2o!

Unfortunately the ships are destroyed.
EDIT: Should I include a rule saying 'No extensible spaceships' on my spaceship thread?

[muzik]

EDIT: Should I include a rule saying 'No extensible spaceships' on my spaceship thread?

Seems like a smart idea, although you could also use these as placeholders until you get a non-extendable spaceship of that speed

[drc]

Muzik, can you check that your apgsearch is okay?

Several of the objects are just the soups themself and dot still-lifes.

[Rhombic]

Two c/5 partials

Code: Select all

x = 30, y = 24, rule = B35/S023
6bo17bo3bo$6bo5bobob2o2b2ob2o$6bo5bo5b4o3bo3bo$9bo9b2obo3bo$8bo2b5o3b
3o5b2o$8b2o2bo3b2o3bo$6bo$14bo8$2bo2bo8bo$2bobobo17bo3bo$5bo2b2o2bo3b
2o3bob2o$8bo2b5o3b3o3bo3bo$obo6bo9b2obo3bo$b3o8bo5b4o5b2o$3bo8bobob2o
2b2o$3o$2o!

Longer:

Code: Select all

x = 31, y = 12, rule = B35/S023
30bo$bo3bo24bo$5b2ob2o3bo11bo3bo$o3bo3b4ob2ob2o5bobo2b3o$3bo3bob4ob3ob
o2b2o2b2obo$b2o5b4obo3b3o6b2o$8b2o4bob2ob2o5bo$13b2o3b2o7bo$22b4o2b2o$
22b3o$23b2o5bo!

[muzik]

c/8 and c/10 by drc since it murdered my apgsearch.

Code: Select all

x = 16, y = 16, rule = B2c3ae4ai56c/S2-kn3-enq4
bbobobbbooboobbo$
bbobbobobooobobb$
oobobboobobbbbbo$
oobbbbboobooooob$
ooobbbbbbbobbbob$
ooooboobobobbooo$
oooooboobbbooooo$
ooobboobboobbbbo$
bobobobbbooooboo$
oooooobbbbbbobob$
obboooobbbbobboo$
bobbbbbooboobbbo$
bobbobbbboobobob$
obbbooobbbboobbb$
bbbboboooboboooo$
obboooooboobboob!

Code: Select all

x = 16, y = 16, rule = B2c3ae4ai56c/S2-kn3-enq4
bbobbbooobbboboo$
oobbobbobbboobbb$
bbbbboobbbbbbooo$
bboobbbbbbobbobo$
bbbbbboobobboobb$
boobobbooooboboo$
booooooobobooboo$
bobobobobbbbobbo$
boooobbooooobbob$
obbbbbbooobbooob$
ooobobbbbobooobo$
oobbbobobbobbbob$
ooboobbboooobboo$
oobboobobooobbbo$
bbobbbbbbbbbooob$
oobbboobbooboobb!

[toroidalet]

hilarious slow puffing wave:

Code: Select all

x = 1283, y = 3, rule = B34ce5ny6n7e/S234ce
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o$3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o
7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b
3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o7b3o$obo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo
7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo7bobo!

pentadecathlon predecessor:

Code: Select all

x = 4, y = 9, rule = B34e5y6n/S23
b2o$b2o5$b2o$o2bo$b2o!