Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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TYCF
Posts: 523
Joined: August 7th, 2023, 3:44 am
Location: England, United Kingdom,

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TYCF » February 24th, 2024, 3:26 am

A c/2 p628 spaceship that consists of two replicators.

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x = 9, y = 17, rule = B35c678/S3567
2o$3obob3o$4o4bo$2b2o2bobo$3ob2o$6o$2o2bo4$2o2bo$6o$3ob2o$2b2o2bobo$4o
4bo$3obob3o$2o!

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x = 5, y = 3, rule = B3/S23
obobo$2ob2o$obobo!

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x = 5, y = 4, rule = B35/S234i8
2bo$bobo$2ob2o$5o!
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b-engine
Posts: 1390
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » February 24th, 2024, 5:24 am

Attempt to simulate Life via 0E0P-like algorithm:

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x = 0, y = 0, rule = 0E0PLife
!
@RULE 0E0PLife
@TABLE
n_states:10
neighborhood:Moore
symmetries:permute
var a1 = {0,1,2,3,4,5,6,7,8,9}
var a2 = {0,1,2,3,4,5,6,7,8,9}
var a3 = {0,1,2,3,4,5,6,7,8,9}
var a4 = {0,1,2,3,4,5,6,7,8,9}
var a5 = {0,1,2,3,4,5,6,7,8,9}
var a6 = {0,1,2,3,4,5,6,7,8,9}
var a7 = {0,1,2,3,4,5,6,7,8,9}
var a8 = {0,1,2,3,4,5,6,7,8,9}
var a9 = {0,1,2,3,4,5,6,7,8,9}
var c = {0,2,3,4,5,6,7,8,9}
0,1,0,0,0,0,0,0,0,9
0,1,1,0,0,0,0,0,0,2
0,1,1,1,0,0,0,0,0,3
0,1,1,1,1,0,0,0,0,4
0,1,1,1,1,1,0,0,0,5
0,1,1,1,1,1,1,0,0,6
0,1,1,1,1,1,1,1,0,7
0,1,1,1,1,1,1,1,1,8
c,9,9,9,0,0,0,0,0,1
c,9,2,0,0,0,0,0,0,1
c,3,0,0,0,0,0,0,0,1
a1,a2,a3,a4,a5,a6,a7,a8,a9,0

@COLORS
0 255 255 255
1 0 0 0
2 255 0 0
3 0 255 0
4 255 255 0
5 0 0 255
6 255 0 255
7 0 255 255
8 200 200 200
9 50 50 50
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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

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Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.
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confocaloid
Posts: 3065
Joined: February 8th, 2022, 3:15 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 24th, 2024, 2:16 pm

confocaloid wrote: ↑
February 24th, 2024, 12:41 am
CasperWen8805181 wrote: ↑
February 23rd, 2024, 9:38 pm
 The more tame version of that rule with the knightship, and an orthogonal ship all from this one of it's unusually long living soups that also contain kinda big (compared to life) still lives that look like but don't work in life:

Code: Select all

x = 500, y = 500, rule = 2-e346k/36k/7
[large random-looking soup trimmed]
The rule seems "almost apgsearchable".
[...]
Edit: Catagolue: g7b36ks2-e346k/C1
[...]
p76 oscillator

Code: Select all

x = 27, y = 12, rule = 2-e346k/36k/7
25.A$2.E21.3A$.FAF19.A.BA$2A.A18.A2.A$.A2.AF15.A3.2A$2A3.AE13.2AB2A.A
$A.3AF15.2A.2A$.2A.A7.C$10.DBDE$9.CAE3FE$9.B2E2.FD$10.CD.FE!
Periodic (p38) reflector for the knightship

Code: Select all

x = 28, y = 30, rule = 2-e346k/36k/7
24.2A$22.3AC2A$21.A2D.3A$21.ADC.2EA$19.2A.DA.EA$18.A3D.4A$18.ADC2A2.C
A$17.2A3.A2.AB$17.ACA2EACA$18.2AE3AB$18.3A15$2.C2A$.EADBA$F2.AB2A$3.
2FA$3.ED!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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hotcrystal0
Posts: 2246
Joined: July 3rd, 2020, 5:32 pm
Location: United States

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 » February 24th, 2024, 2:43 pm

These two guns are both P20 flippers:

Code: Select all

x = 7, y = 23, rule = B2ac3n4i5r/S3i4ent56
2bo$obo$obo$2bo$2bo3bo$3bo$2b3o$3bo8$2bobo2$2bobo$2bobo2$o5bo2$2bobo!

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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CasperWen8805181
Posts: 157
Joined: November 5th, 2023, 10:57 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 » February 24th, 2024, 10:37 pm

I made the soups not-so-long living!

Code: Select all

x = 5, y = 6, rule = 2-e346k/3-c6k/7
2.A$.ABA$.AB2A$F.2DA$2.CFA$3.BE!
My Rules: Hash2F
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confocaloid
Posts: 3065
Joined: February 8th, 2022, 3:15 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 25th, 2024, 4:19 am

CasperWen8805181 wrote: ↑
February 24th, 2024, 10:37 pm
 I made the soups not-so-long living!

Code: Select all

x = 5, y = 6, rule = 2-e346k/3-c6k/7
2.A$.ABA$.AB2A$F.2DA$2.CFA$3.BE!
In addition to the p38 oscillator (which might be sparky enough to be gunnable), there is at least a p10:

Code: Select all

x = 39, y = 9, rule = 2-e346k/3-c6k/7
17.A16.A.2A$2.A13.A.A14.4A.A$.ABA12.3A14.A3.2A$.AB2A12.2A15.A2.A$F.2D
A11.2A17.A.2A$2.CFA10.A.A.A16.2A$3.BE11.A.A.A$17.A.A$18.A!
Edit: p24 tub puffer:

Code: Select all

#C https://catagolue.hatsya.com/object/yl24_1_8_2c2324268700f7bea6e3d85c53d97912/g7b3-c6ks2-e346k
x = 16, y = 16, rule = S2-e346k/B3-c6k/7
boooobboobbobooo$
obbobooboboobboo$
obobbboobobooobb$
obobbbbooobooboo$
bbooobbbbooboobb$
bbbbboobbooobbbo$
ooobobooooobboob$
oooobobobboobooo$
obbbooboboboobbo$
oobbbbbbbobbooob$
bbobbooboobooooo$
boboooobbbooobob$
bbboobbooboobboo$
bboboooooboobobo$
booobbobboobobbb$
oobobobboooboooo!
Catagolue: g7b3-c6ks2-e346k/C1
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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CasperWen8805181
Posts: 157
Joined: November 5th, 2023, 10:57 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 » February 25th, 2024, 1:28 pm

confocaloid wrote: ↑
February 25th, 2024, 4:19 am
CasperWen8805181 wrote: ↑
February 24th, 2024, 10:37 pm
 I made the soups not-so-long living!

Code: Select all

x = 5, y = 6, rule = 2-e346k/3-c6k/7
2.A$.ABA$.AB2A$F.2DA$2.CFA$3.BE!
Edit: p24 tub puffer:

Code: Select all

#C https://catagolue.hatsya.com/object/yl24_1_8_2c2324268700f7bea6e3d85c53d97912/g7b3-c6ks2-e346k
x = 16, y = 16, rule = S2-e346k/B3-c6k/7
boooobboobbobooo$
obbobooboboobboo$
obobbboobobooobb$
obobbbbooobooboo$
bbooobbbbooboobb$
bbbbboobbooobbbo$
ooobobooooobboob$
oooobobobboobooo$
obbbooboboboobbo$
oobbbbbbbobbooob$
bbobbooboobooooo$
boboooobbbooobob$
bbboobbooboobboo$
bboboooooboobobo$
booobbobboobobbb$
oobobobboooboooo!
Catagolue: g7b3-c6ks2-e346k/C1
Corderized:

Code: Select all

x = 23, y = 36, rule = 2-e346k/3-c6k/7
3.A$.2ACA$.2ACB$2A2E$.B.D$.FC2.2A$4.3AB$4.2BFAC$2.2ADAFDB$.3AE2.E$.2A
2E.FD$2.ABA.CE$2.A2BAF$3.3A4$4.A11.A$3.A.A9.ABA$4.A9.2ABA$14.A2D.F$6.
A7.AFC$5.A.A6.EB$6.A10.3A$17.2AEB$8.A7.ACAEC$7.A.A6.2A2.DE$8.A6.2EA.F
2.F$14.CDFD$10.A3.2AF$9.A.A2.ABA.F$10.A4.BC2.E$15.2ACAF$12.A2.3AB$11.
A.A3.A$12.A!
I also found out that without the knightship at the front, the puffer part in the back dies.
Sadly, the wickeater below is too fast ;-;

Code: Select all

x = 18, y = 54, rule = 2-e346k/3-c6k/7
2.A$.ABA$2ABA$A2D.F$AFC$EB$3.3A$3.2AEC$2.ACAED$2.2A3.F$.2EA.F$CDFD$2A
F$ABA.F$.BC2.E$.2ACAF$.3AB$3.A2$4.A$3.A.A$4.A2$6.A$5.A.A$6.A2$8.A$7.A
.A$8.A2$10.A$9.A.A$10.A2$12.A$11.A.A$12.A2$14.A$13.A.A$14.A2$14.2AC$14.
2A.D$14.ACEC$14.3AD$15.A2F$15.EFE$14.D2F$13.CB2F$14.DBFD$15.ECE$16.D!
Might be something to kickstart the reaction on and on to make arbitrarily big period spaceships.
Both the wickstretcher and the wickeater work in the original (long lasting soup rule) rule.

Code: Select all

x = 18, y = 54, rule = 2-e346k/36k/7
2.A$.ABA$2ABA$A2D.F$AFC$EB$3.3A$3.2AEC$2.ACAED$2.2A3.F$.2EA.F$CDFD$2A
F$ABA.F$.BC2.E$.2ACAF$.3AB$3.A2$4.A$3.A.A$4.A2$6.A$5.A.A$6.A2$8.A$7.A
.A$8.A2$10.A$9.A.A$10.A2$12.A$11.A.A$12.A2$14.A$13.A.A$14.A2$14.2AC$14.
2A.D$14.ACEC$14.3AD$15.A2F$15.EFE$14.D2F$13.CB2F$14.DBFD$15.ECE$16.D!
Even the corderized ship works in the original rule!

Code: Select all

x = 23, y = 36, rule = 2-e346k/36k/7
3.A$.2ACA$.2ACB$2A2E$.B.D$.FC2.2A$4.3AB$4.2BFAC$2.2ADAFDB$.3AE2.E$.2A
2E.FD$2.ABA.CE$2.A2BAF$3.3A4$4.A11.A$3.A.A9.ABA$4.A9.2ABA$14.A2D.F$6.
A7.AFC$5.A.A6.EB$6.A10.3A$17.2AEB$8.A7.ACAEC$7.A.A6.2A2.DE$8.A6.2EA.F
2.F$14.CDFD$10.A3.2AF$9.A.A2.ABA.F$10.A4.BC2.E$15.2ACAF$12.A2.3AB$11.
A.A3.A$12.A!
(Kinda evident) If you remove a tub from the first puffer, the second puffer will puff a tub, but I haven't figured out how to do that with the knightships (one knightship). I did get a tub to a square once, but I forgot how. (one knightship on the puffer trail)

Code: Select all

x = 23, y = 36, rule = 2-e346k/36k/7
3.A$.2ACA$.2ACB$2A2E$.B.D$.FC2.2A$4.3AB$4.2BFAC$2.2ADAFDB$.3AE2.E$.2A
2E.FD$2.ABA.CE$2.A2BAF$3.3A4$4.A11.A$3.A.A9.ABA$4.A9.2ABA$14.A2D.F$14.
AFC$14.EB$17.3A$17.2AEB$8.A7.ACAEC$7.A.A6.2A2.DE$8.A6.2EA.F2.F$14.CDF
D$10.A3.2AF$9.A.A2.ABA.F$10.A4.BC2.E$15.2ACAF$12.A2.3AB$11.A.A3.A$12.
A!
I found two ways a knightship can eat a tub on its own, but not next to other tubs. Bunch of useful(?) reactions containing knightships shown below in a beautiful collection:

Code: Select all

x = 96, y = 169, rule = 2-e346k/36k/7
76.A$75.AC2A$75.BC2A$76.2E2A14.A$76.D.B13.2ACA$77.CF13.2ACB$91.2A2E$92.
B.D$92.FC19$74.A$73.AC2A$73.BC2A$74.2E2A$74.D.B$75.CF18$61.A$60.AC2A$
60.BC2A$61.2E2A$61.D.B$62.CF20$53.A$52.AC2A$52.BC2A$53.2E2A$53.D.B$54.
CF34$28.A$27.AC2A$27.BC2A$28.2E2A$28.D.B$29.CF24$11.A$10.AC2A$10.BC2A
$11.2E2A$11.D.B$12.CF15$.A$AC2A$BC2A$.2E2A$.D.B$2.CF
Useless mesh I found by experimenting with the two SLs (hive and *Unnnamed Entity*):

Code: Select all

x = 115, y = 174, rule = 2-e346k/3-c6k/7
3.A$.5A$A5.A50.A$.5A.A.A45.5A$3.A.A.5A42.A5.A$3.A2.A5.A42.5A.A.A$.5A.
5A.A.A41.A.A.5A$A5.A2.A.A.5A39.A2.A5.A12.A$.5A.A.A2.A5.A36.5A.5A.A.A7.
5A$3.A.A.5A.5A.A.A32.A5.A2.A.A.5A4.A5.A$3.A2.A5.A2.A.A.5A31.5A.A.A2.A
5.A4.5A.A.A$.5A.5A.A.A2.A5.A32.A.A.5A.5A7.A.A.5A$A5.A2.A.A.5A.5A.A.A29.
A2.A5.A2.A12.A5.A$.5A.A.A2.A5.A2.A.A.5A25.5A.5A.A.A13.5A.A.A$3.A.A.5A
.5A.A.A2.A5.A23.A5.A2.A.A.5A13.A.A.5A$3.A2.A5.A2.A.A.5A.5A.A.A21.5A.A
.A2.A5.A15.A5.A$.5A.5A.A.A2.A5.A2.A.A.5A21.A.A.5A.5A17.5A$A5.A2.A.A.5A
.5A.A.A2.A5.A23.A5.A2.A21.A$.5A.A.A2.A5.A2.A.A.5A.5A.A.A21.5A.A.A$3.A
.A.5A.5A.A.A2.A5.A2.A.A.5A21.A.A.5A$3.A2.A5.A2.A.A.5A.5A.A.A2.A5.A23.
A5.A$.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A21.5A$A5.A2.A.A.5A.5A.A.A2.A5.A2.
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A.A.5A.5A.A.A38.A$3.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A34.5A$.5A.5A.
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5A.5A.A.A30.5A$.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A30.A$3.A.A.5A
.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A35.A$3.A2.A5.A2.A.A.5A.5A.A.A2.A5.A
2.A.A.5A.5A.A.A31.A.A$.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A29.
A.A$A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A29.A$.5A.A.A2.A5.A2.
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2.A5.A$9.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.
A2.A.A.5A.5A$12.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A
.5A.A.A2.A5.A2.A$13.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.
A5.A2.A.A.5A.5A.A.A$15.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.
5A.5A.A.A2.A5.A2.A.A.5A$18.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.
A5.A2.A.A.5A.5A.A.A2.A5.A$19.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A
.5A.A.A2.A5.A2.A.A.5A.5A$21.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.
A.A.5A.5A.A.A2.A5.A2.A$24.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A
5.A2.A.A.5A.5A.A.A$25.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.
A2.A5.A2.A.A.5A$27.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A
.A.A2.A5.A$30.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.
5A$31.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A$33.A.
A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A$36.A5.A2.A.A.5A
.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A$37.5A.A.A2.A5.A2.A.A.5A.5A
.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A$39.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A
2.A5.A2.A.A.5A.5A$42.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.
A$43.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A$45.A.A.5A.5A.A.
A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A$48.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.
A.5A.5A.A.A2.A5.A$49.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A$51.
A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A$54.A5.A2.A.A.5A.5A.A.A2.A
5.A2.A.A.5A.5A.A.A$55.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A$57.A.
A.5A.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A$60.A5.A2.A.A.5A.5A.A.A2.A5.A2.
A.A.5A.5A$61.5A.A.A2.A5.A2.A.A.5A.5A.A.A2.A5.A2.A$63.A.A.5A.5A.A.A2.A
5.A2.A.A.5A.5A.A.A$66.A5.A2.A.A.5A.5A.A.A2.A5.A2.A.A.5A$67.5A.A.A2.A5.
A2.A.A.5A.5A.A.A2.A5.A$69.A.A.5A.5A.A.A2.A5.A2.A.A.5A.5A$72.A5.A2.A.A
.5A.5A.A.A2.A5.A2.A$73.5A.A.A2.A5.A2.A.A.5A.5A.A.A$75.A.A.5A.5A.A.A2.
A5.A2.A.A.5A$78.A5.A2.A.A.5A.5A.A.A2.A5.A$79.5A.A.A2.A5.A2.A.A.5A.5A$
81.A.A.5A.5A.A.A2.A5.A2.A$84.A5.A2.A.A.5A.5A.A.A$85.5A.A.A2.A5.A2.A.A
.5A$87.A.A.5A.5A.A.A2.A5.A$90.A5.A2.A.A.5A.5A$91.5A.A.A2.A5.A2.A$93.A
.A.5A.5A.A.A$96.A5.A2.A.A.5A$97.5A.A.A2.A5.A$99.A.A.5A.5A$102.A5.A2.A
$103.5A.A.A$105.A.A.5A$108.A5.A$109.5A$111.A!
kinda fun to watch it burn.
We should probably name some of the stuff we found like the most common SLs from soups that aren't named yet and the ships (knightship, orthogonal ship, and the two engine knightwise corderoid.)
Super small way to make signals:

Code: Select all

x = 100, y = 100, rule = 2-e346k/3-c6k/7:T100,100
.A$A.A$.A.A$2.A.A$3.A.A$4.A.A$5.A.A$6.A.A$7.A.A$8.A.AF$9.A.AE$10.A.AD
$11.A.AC$12.A.AB$13.A.2A$14.A.A$15.A.A$16.A.A$17.A.A$18.A.A$19.A.A$20.
A.A$21.A.A$22.A.A$23.A.A$24.A.A$25.A.A$26.A.A$27.A.A$28.A.A$29.A.A$30.
A.A$31.A.A$32.A.A$33.A.A$34.A.A$35.A.A$36.A.A$37.A.A$38.A.A$39.A.A$40.
A.A$41.A.A$42.A.A$43.A.A$44.A.A$45.A.A$46.A.A$47.A.A$48.A.A$49.A.A$50.
A.A$51.A.A$52.A.A$53.A.A$54.A.A$55.A.A$56.A.A$57.A.A$58.A.A$59.A.A$60.
A.A$61.A.A$62.A.A$63.A.A$64.A.A$65.A.A$66.A.A$67.A.A$68.A.A$69.A.A$70.
A.A$71.A.A$72.A.A$73.A.A$74.A.A$75.A.A$76.A.A$77.A.A$78.A.A$79.A.A$80.
A.A$81.A.A$82.A.A$83.A.A$84.A.A$85.A.A$86.A.A$87.A.A$88.A.A$89.A.A$90.
A.A$91.A.A$92.A.A$93.A.A$94.A.A$95.A.A$96.A.A$97.A.A$98.A!
Cordership with some backspark:

Code: Select all

x = 18, y = 32, rule = 2-e346k/36k/7
4.A$2.2ACA$2.2ACB$.2A2E$2.B.D$2.FC2.A$5.3A$4.A2BFD$4.ADAFE$4.3A$3.2FA
$2.DE.E$2.BA$2.ACB$3.CDA.F5.A$3.2ADB4.2ACA$3.ABAC4.2ACB$5.A4.2A2E$11.
B.D$6.A4.FC2.A$5.A.A6.3A$6.A6.A2BFD$13.ADAFE$8.A4.3A$7.A.A2.2FA$8.A3.
E.E2$10.BC.F$9.A.CDB2.F$9.3ACACA$10.6A$13.3A!
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confocaloid
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 26th, 2024, 4:06 pm

CasperWen8805181 wrote: ↑
February 25th, 2024, 1:28 pm
confocaloid wrote: ↑
February 25th, 2024, 4:19 am
CasperWen8805181 wrote: ↑
February 24th, 2024, 10:37 pm
 I made the soups not-so-long living!

Code: Select all

x = 5, y = 6, rule = 2-e346k/3-c6k/7
2.A$.ABA$.AB2A$F.2DA$2.CFA$3.BE!
[...]
[...]
Overunity reaction supported by p38 oscillators:

Code: Select all

x = 82, y = 41, rule = 2-e346k/3-c6k/7
23.2A$22.2ADA.2A$22.BA2DABA$21.2A2F.AF.2A$22.ACB2A.FBA$22.A3C.3A$23.
2A.CA.DA$25.ACBF2DA$25.A2CF3A$26.3ABA$28.A49.EF$76.2A$76.2ACB$76.2ACE
AF$78.2AD13$2.C2A$.EADBA$F2.AB2A$3.2FA$3.ED3$51.3A$51.3A$51.AC.A$52.
2A.A$51.2A.A.2A$51.A.2AC2A$52.2A.3A!
More p38-based tools:

Code: Select all

x = 46, y = 161, rule = 2-e346k/3-c6k/7
36.A.2A$31.E3.B3A.A$31.FE.2ACD.2A$34.EBA.DA$34.DF.AC2A$36.FBAB$33.F2.
DEA$34.F$38.E$38.FE$.D2A$FAEC2A$2.BC2A$4.2A$2.FE32$39.3A.2A$39.2AC2A.
A$39.2A.A.2A$41.A.2A$42.A.CA$43.3A$43.3A20$16.D2A$15.FAEC2A$17.BC2A$
19.2A$17.FE15$32.A.2A$31.4A.A$31.A3.2A$32.A2.A$33.A.2A$34.2A19$16.D2A
$15.FAEC2A$17.BC2A$19.2A$17.FE12$32.A.2A$31.4A.A$31.A3.2A$32.A2.A$33.
A.2A$34.2A20$14.E3A$14.BFD2A$15.CD2BA$17.2A$16.F!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 » February 26th, 2024, 8:09 pm

confocaloid wrote: ↑
February 26th, 2024, 4:06 pm
CasperWen8805181 wrote: ↑
February 25th, 2024, 1:28 pm
confocaloid wrote: ↑
February 25th, 2024, 4:19 am
 [...]
[...]
Overunity reaction supported by p38 oscillators:

Code: Select all

x = 82, y = 41, rule = 2-e346k/3-c6k/7
23.2A$22.2ADA.2A$22.BA2DABA$21.2A2F.AF.2A$22.ACB2A.FBA$22.A3C.3A$23.
2A.CA.DA$25.ACBF2DA$25.A2CF3A$26.3ABA$28.A49.EF$76.2A$76.2ACB$76.2ACE
AF$78.2AD13$2.C2A$.EADBA$F2.AB2A$3.2FA$3.ED3$51.3A$51.3A$51.AC.A$52.
2A.A$51.2A.A.2A$51.A.2AC2A$52.2A.3A!
More p38-based tools:

Code: Select all

x = 46, y = 161, rule = 2-e346k/3-c6k/7
36.A.2A$31.E3.B3A.A$31.FE.2ACD.2A$34.EBA.DA$34.DF.AC2A$36.FBAB$33.F2.
DEA$34.F$38.E$38.FE$.D2A$FAEC2A$2.BC2A$4.2A$2.FE32$39.3A.2A$39.2AC2A.
A$39.2A.A.2A$41.A.2A$42.A.CA$43.3A$43.3A20$16.D2A$15.FAEC2A$17.BC2A$
19.2A$17.FE15$32.A.2A$31.4A.A$31.A3.2A$32.A2.A$33.A.2A$34.2A19$16.D2A
$15.FAEC2A$17.BC2A$19.2A$17.FE12$32.A.2A$31.4A.A$31.A3.2A$32.A2.A$33.
A.2A$34.2A20$14.E3A$14.BFD2A$15.CD2BA$17.2A$16.F!
Think we can make arbitrarily large period oscillators:

Code: Select all

x = 44, y = 31, rule = 2-e346k/3-c6k/7
24.3A.2A$24.2AC2A.A$24.2A.A.2A$26.A.2A$27.A.CA$28.3A$28.3A7$27.BA$26.
DAC2A$25.E2.3A$26.F.2EA$28.DC5$42.A$41.A.A$42.A2$.D2A$FAEC2A$2.BC2A$4.
2A$2.FE!
Can we prove Omniperiocity?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 27th, 2024, 2:53 am

CasperWen8805181 wrote: ↑
February 26th, 2024, 8:09 pm
Think we can make arbitrarily large period oscillators: [...]
Can you make one example (e.g. a working high-period knightship-glider loop)? From my attempts yesterday, it seems there are some interesting parity/geometry issues to be solved.
CasperWen8805181 wrote: ↑
February 26th, 2024, 8:09 pm
[...] Can we prove Omniperiocity?
What is already known could only give periods that are multiples of 38 (the base period of the components).
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 27th, 2024, 11:04 am

confocaloid wrote: ↑
February 27th, 2024, 2:53 am
From my attempts yesterday, it seems there are some interesting parity/geometry issues to be solved.
It turned out simpler than I imagined. Here is a p114 knightglider gun, showcasing two different reflectors, a lane shifter and the overunity reaction:

Code: Select all

x = 259, y = 227, rule = 2-e346k/3-c6k/7
2A69.F$2A70.F5$68.2A5.F$67.A.4A3.D$67.2A.CBA2.DE$68.AC.2AD.F$61.F6.AB
A.EC$62.F5.3AE3.F19.DC$70.DC2.E18.F.2EA$73.E18.E2.3A$67.F.DF.F20.DAC
2A$68.DE24.BA11$94.3A$94.3A$93.A2C.E$93.AEB.F$93.DA38.DC$94.F36.F.2EA
$130.E2.3A$131.DAC2A$132.BA16$152.DC37.A$149.EFEC.E12.FE21.A.A$148.D
3.F.F14.2A20.A$147.D2.BC6.F8.BC2A$146.E3.D2A6.EF4.FAEC2A$146.F.BD.3A
6.E5.D2A$146.E.C2A.BA$145.DCF.2AB.2A$145.C4.3A.A$146.EF4.2A2$10.2ACB$
9.AB.A2DC$9.3ACF2D2A130.F30.A$8.A3.A.F3A6.A88.3A33.E27.2AB2A$7.A.3AE.
2FC2A3.2ACA87.3A33.FE25.2A3B2A$6.A2.A.FA.FABA4.2ACB86.A2C.E59.2AD.EBA
$5.A3.3A.AE3A3.2A2E87.AEB.F58.A2.2AE2A$3.2A.3A.EA.A2D6.B.D87.DA61.2A.
BA.A$2.ABA.A.AE.AC2A7.FC89.F59.2A.2A.AD2A$2.A.A.AF3A.AB157.2A.2A.3AD
2A$2.CACAEA2.CA158.3A2.2A3.AC$2.BDF3.3AB158.ABDAB.A2.AF$3.2D3FEDA158.
A2B.4A.A$3.CDAF2AD160.AB2E.2DAF$4.2ACBA161.2AB4AC$4.5A162.3A.2A$6.A2$
196.D$54.FE139.E.C$56.2A137.2F2A$54.BC2A136.CDAB$52.FAEC2A136.BD2A$
53.D2A139.2A10$141.2A.A$140.A.3AB3.E$140.2A.DC2A.EF$141.AD.ABE$140.2A
CA.FD$92.FE47.BABF$94.2A46.AED2.F$92.BC2A38.A.A9.F$43.A46.FAEC2A36.5A
D4.E$41.2ACA46.D2A37.2ABA2EBC2.EF$41.2ACB86.AB2F.CD$40.2A2E86.A2BFE
34.A.2A$41.B.D87.2AE2.E30.6A$41.FC49.3A37.DBEDF4.F24.DA2B.2CA$91.2AB
2A37.C2E4.E25.AEA2.AE2A$90.C2AEACB37.D2E.AD24.DA2.A.2ABA$90.CD3E2C37.
C2EA.A23.2AE2.2AEFA$88.4A3.ECA24.A12.ABDA24.AB3A.3FA$88.AB2.ADABAB22.
5A10.3A24.2AB2.AF.2A$86.2A.3AEA.A.A22.2AE2A11.A26.A2.AEFA$86.ABA.DA.A
.2A23.CAE2CA36.2AC2A2FA$84.2CA.AD.3A.2A22.BC2.BA37.2ACEB2A$83.2ADA.3A
3.AF23.A.B42.3A$82.3AE.AE.A2.A26.A44.A49.D$82.AB2E.D3A.A121.E.C$82.3A
E.A3.A122.2F2A$83.A2CEB3AF34.FE85.CDAB$84.B2CA.2A37.C84.BD2A$86.ABA
38.AD85.2A$124.E.AEA$122.2FCF2BA37.3AE$122.EDE3A37.2ADFB$116.F9.A28.D
C7.A2BDC$116.A36.F.2EA7.2A$115.A.2A33.E2.3A9.F$114.A2.A35.DAC2A$112.F
A3.2A35.BA$114.3A.A$114.A.2A8$62.A99.BA$60.2ACA95.CDCAEC$60.2ACB94.B
3EDED$59.2A2E94.B.E2A6.DE34.3AE$60.B.D93.C2E.BAF5.FCD32.2ADFB$60.FC
94.DEAB.2A7.C31.A2BDC$156.CE3A.A5.FE33.2A$155.BAD.F2A.AF24.FE14.F$
155.A2E4.A.A26.B$83.2ADC69.CD4.FA25.CBC$82.AC.A2ED97.BAFED$81.4AD.2E
2A95.AC2AD$81.A3.A2.A2B96.3A61.3A$80.A.3AF3.D2A66.DF.F88.5A$79.A2.A2.
A2.ACA67.EC.E87.2ACFD2A$77.2A3.3A.AFBAB68.DC23.BA48.D13.A2.2AD2A$76.
2A.3A.FA.A2EA91.CDCAEC46.E.C12.A.F2A.A$75.ACA.A.AF.AD2A92.B3EDED46.2F
2A9.2A2.A.AC2A$75.A.A.A.3A.AC58.F33.B.E2A6.DE40.CDAB9.A4.3ACA$75.DADA
FA2.DA61.E31.C2E.BAF5.FCD39.BD2A8.2A.F2A2.FAB$75.CE4.3AC61.AC30.DEAB.
2A7.C40.2A8.2AC2A.A2.AE$76.2E3.FEA59.EFADA30.CE3A.A5.FE51.2AF4AFA$76.
DEA.ABE60.DF2BA29.BAD.F2A.AF56.2A2D.2CAE$77.ABDC2A61.3A30.A2E4.A.A57.
6AB$77.AB2AB63.A32.CD4.FA59.2A.A$79.A2$105.2A.A$104.A.3AE70.DF.F$104.
2A2.FAD69.EC.E$88.2AC14.A2.AE71.DC23.BA$87.ABDAE12.2AFA95.CDCAEC12.DC
$86.2ABA2.F12.EAE94.B3EDED10.F.2EA$87.A2F16.D94.B.E2A6.DE4.E2.3A$67.A
20.DE110.C2E.BAF5.FCD4.DAC2A$66.A.A131.DEAB.2A7.C5.BA$67.A132.CE3A.A
5.FE$199.BAD.F2A.AF$199.A2E4.A.A$200.CD4.FA4$202.DF.F$202.EC.E$203.DC
23.BA$225.CDCAEC$224.B3EDED$223.B.E2A6.DE$222.C2E.BAF5.FCD$222.DEAB.
2A7.C$124.A97.CE3A.A5.FE$122.ABAC95.BAD.F2A.AF24.FE$121.3AF.D94.A2E4.
A.A26.2A$121.A2DFE96.CD4.FA25.BC2A$122.BC129.FAEC2A$164.F89.D2A$165.E
$165.AC57.DF.F$162.EFADA57.EC.E$162.DF2BA58.DC$163.3A$164.A8$162.A$
160.ABAC$159.3AF.D$159.A2DFE$160.BC27.E$188.FAF$188.A.2A$186.FA2.A$
185.EA3.2A$186.F3A.A$187.A.2A5$257.2A$257.2A!
#C [[ MAXGRIDSIZE 9 THEME Catagolue ]]
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » March 1st, 2024, 5:39 pm

5c/20:

Code: Select all

x = 6, y = 5, rule = B3-q4w/S234z
b3o$o3bo$o4bo2$4b2o!
EDIT:
Fake pentadecathon:

Code: Select all

x = 10, y = 1, rule = B3-r4e5ey/S234t5e
10o!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » March 2nd, 2024, 4:19 pm

LaundryPizza03 wrote: ↑
May 3rd, 2022, 3:13 am
 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.

Code: Select all

x = 45, y = 8, rule = B2k3acijr4ijqty5k6n8/S2aek3-acey4ciqy5ackn6n7e8
3o$o$3o$2bo38b3o$39b2ob3o$39bo$39bobo$40b2o!
Adding S5e preserves both RROs, and allows a common p68 c/2o spaceship

Code: Select all

x = 66, y = 62, rule = B2k3acijr4ijqty5k6n8/S2aek3-acey4ciqy5acekn6n7e8
3o$o$3o$2bo38b3o$39b2ob3o$39bo$39bobo$40b2o36$64b2o$50bo13bo$49b3o$48b
2o2bo11bo$50b3o11b2o5$47bo$45b2o2bo$45bobo$49bo$38bo2b3o2b3o$36b3obo3b
o2bo$36bo3bo$36b2obo5bo$39bob3o$41bo2bo!
edit: diagonal 38c/672

Code: Select all

x = 88, y = 32, rule = B2k3acijr4ijqty5k6n8/S2aek3-acey4ciqy5acekn6n7e8
83b3o$83bo$83b3obo$85b3o22$26b2o$24bo2b2o$23b2o3b2o$o23b3o2bo$o2bo21b5o$3o24b
o$bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » March 4th, 2024, 7:45 am

rabbit wrote: ↑
March 4th, 2024, 7:22 am
 Uneven patterns with even symmetry may explode.
Proof that only D2_+2 patterns explodes:

Code: Select all

x = 32, y = 1562, rule = B2-a3aij/S1c2-ae45ain678
6b3o1546$ob2o2bobobob8obobobo2b2obo$ob2ob4o5b4o5b4ob2obo$obobo2bo3bo2b
o2bo2bo3bo2bobobo$o2bo3bobob10obobo3bo2bo$4bob2obo12bob2obo$2b2obob3o
b3ob2ob3ob3obob2o$o4bob2ob5o2b5ob2obo4bo$3ob2obobob4o2b4obobob2ob3o$o
3bob4ob3ob2ob3ob4obo3bo$2b2o2bob3ob3o2b3ob3obo2b2o$o2b2ob2ob3obob2obo
b3ob2ob2o2bo$2b2o3bobobo3b2o3bobobo3b2o$4bobobob2ob2o2b2ob2obobobo$b3o
2bobo2bo8bo2bobo2b3o$2bo5bo6b2o6bo5bo$o2b2o2b4ob2ob2ob2ob4o2b2o2bo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » March 4th, 2024, 7:56 am

It is not a proof. First, there is no proof that the posted pattern would indeed grow forever without the symmetry-breaking blinker. Second, there is no proof that symmetries other than D2_+2 cannot explode (thus "only" is unsubstantiated, and probably incorrect).
b-engine wrote: ↑
March 4th, 2024, 7:45 am
rabbit wrote: ↑
March 4th, 2024, 7:22 am
 Uneven patterns with even symmetry may explode.
Proof that only D2_+2 patterns explodes:

Code: Select all

x = 32, y = 1562, rule = B2-a3aij/S1c2-ae45ain678
6b3o1546$ob2o2bobobob8obobobo2b2obo$ob2ob4o5b4o5b4ob2obo$obobo2bo3bo2b
o2bo2bo3bo2bobobo$o2bo3bobob10obobo3bo2bo$4bob2obo12bob2obo$2b2obob3o
b3ob2ob3ob3obob2o$o4bob2ob5o2b5ob2obo4bo$3ob2obobob4o2b4obobob2ob3o$o
3bob4ob3ob2ob3ob4obo3bo$2b2o2bob3ob3o2b3ob3obo2b2o$o2b2ob2ob3obob2obo
b3ob2ob2o2bo$2b2o3bobobo3b2o3bobobo3b2o$4bobobob2ob2o2b2ob2obobobo$b3o
2bobo2bo8bo2bobo2b3o$2bo5bo6b2o6bo5bo$o2b2o2b4ob2ob2ob2ob4o2b2o2bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » March 4th, 2024, 8:00 am

confocaloid wrote: ↑
March 4th, 2024, 7:56 am
 It is not a proof. First, there is no proof that the posted pattern would indeed grow forever without the symmetry-breaking blinker. Second, there is no proof that symmetries other than D2_+2 cannot explode (thus "only" is unsubstantiated, and probably incorrect).
Actually explosion and chaotic growth aren't directly related to infinite growth (I didn't said that it exhibits infinite growth). Chaotic growths may actually stabilize, it just be very long-lived so that it looks like infinite growth.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » March 4th, 2024, 9:43 am

b-engine wrote: ↑
March 4th, 2024, 8:00 am
confocaloid wrote: ↑
March 4th, 2024, 7:56 am
 It is not a proof. First, there is no proof that the posted pattern would indeed grow forever without the symmetry-breaking blinker. Second, there is no proof that symmetries other than D2_+2 cannot explode (thus "only" is unsubstantiated, and probably incorrect).
Actually explosion and chaotic growth aren't directly related to infinite growth (I didn't said that it exhibits infinite growth). Chaotic growths may actually stabilize, it just be very long-lived so that it looks like infinite growth.
They are related. Otherwise it would make little sense to say "growth".
Note that the entry says ( https://conwaylife.com/w/index.php?oldid=146307 ) edit: added link
Chaotic growth wrote:In any case, it is not decidable whether a pattern that apparently grows randomly forever is in fact displaying chaotic growth. Continuing to evolve such a pattern might at any time result in it suddenly cleaning itself up and becoming predictable.
That means "apparently grows randomly forever" is not the same thing as "in fact displaying chaotic growth" (otherwise it would be trivially decidable). If a pattern doesn't really grow forever and is just long-lived, then the pattern is a methuselah and not chaotic growth.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by azulavoir » March 4th, 2024, 12:54 pm

Code: Select all

x = 43, y = 43, rule = /2/3
21.A$20.A.A$19.A3.A$18.A5.A$17.A7.A$16.A9.A$15.A11.A$14.A13.A$13.A15.
A$12.A17.A$11.A19.A$10.A21.A$9.A23.A$8.A25.A$7.A27.A$6.A29.A$5.A31.A$
4.A33.A$3.A35.A$2.A37.A$.A39.A$A41.A$.A39.A$2.A37.A$3.A35.A$4.A33.A$5.
A31.A$6.A29.A$7.A27.A$8.A25.A$9.A23.A$10.A21.A$11.A19.A$12.A17.A$13.A
15.A$14.A13.A$15.A11.A$16.A9.A$17.A7.A$18.A5.A$19.A3.A$20.A.A$21.A!
This pure "glider" generator feels like one of those patterns people would be raving about in 1972.
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CasperWen8805181
Posts: 157
Joined: November 5th, 2023, 10:57 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 » March 4th, 2024, 7:33 pm

snowman wrote: ↑
February 22nd, 2024, 2:18 am
 p220 oscillator:

Code: Select all

x = 4, y = 6, rule = B3-q5i7/S2456
4o$b2o$b2o$b2o$b2o$4o!
8c/41 puffer and p41*2 spaceship:

Code: Select all

x = 10, y = 12, rule = B3-q5i7/S2456
5bo$3b3o$b2o3b2o$2b2o2b2o$ob3ob4o$3obo2b2o$3obo2b2o$ob3ob4o$2b2o2b2o$b
2o3b2o$3b3o$5bo!

Code: Select all

x = 42, y = 39, rule = B3-q5i7/S2456
26bo$27bo$6bo17bobo$13bobo8bo$4bobobo17bo3bo$5b3o5b3o6bo4bob4o$4b5o3bo
3bo5bo4bo2b2o$4b5o3bo3bo5bo4bo2b2o$5b3o5b3o6bo4bob4o$8bo17bo3bo$9bo3bo
bo8bo$5b3o16bobo$6b2o17bob2o$b2o2bo11b2o7bo$bo3b2o10bo7bobo$2o3b2o9b2o
7bo$5bo2bo16bo$5b3o$6b2o7bo11b5o$6b2o5b3o6bo4bo2b3o$5b4o4bobo6bo2b3o2b
2o$6b2o14bo2b3o2b2o$22bo4bo2b3o$27b5o2$25bo9bo$17b4o4bo10bo$26bo6bobo$
33bo$35bo3bo$31bo4bob4o$31bo4bo2b2o$31bo4bo2b2o$31bo4bob4o$35bo3bo$33b
o$33bobo$36bo$35bo!
Rake:

Code: Select all

x = 50, y = 76, rule = B3-q5i7/S2456
32bobo$22bo10bob4o$13b3o4b5o8b3ob2o$12b5o4b3o6b2ob2ob5o$12bobobo2bob3o
bo4b2ob3o2b2o$12bobobo2bob3obo4b2ob3o2b2o$12b5o4b3o6b2ob2ob5o$13b3o4b
5o8b3ob2o$22bo10bob4o$32bobo2$9b2o2b4o8b2o$9bo4b2o9bo$8b2o3bo2bo7b2o8b
3o$13b3o16bob3o$15bobo15bo3b2o$13b4o6b2o8b6o$13b3ob2o2b3o6bo5b5o$15b2o
4bobo6bo2bobo2b2o$15bo4b2ob2o5bo2bobo2b2o$21bo2bo5bo5b5o$22b2o9b6o$26b
2o5bo3b2o$26bo5bob3o$27b2o5b3o$26bo14bobo$26b2o14bob4o$32bo9b3ob2o$31b
o7b2ob2ob5o$30bo8b2ob3o2b2o$39b2ob3o2b2o$3bo35b2ob2ob5o$2b2o38b3ob2o$
2b4o36bob4o$o2b2o36bobo$6o$ob2o$obo$obo$ob2o$6o$o2b2o36bobo$2b4o36bob
4o$2b2o38b3ob2o$3bo35b2ob2ob5o$39b2ob3o2b2o$30bo8b2ob3o2b2o$31bo7b2ob
2ob5o$32bo9b3ob2o$26b2o14bob4o$26bo14bobo$27b2o5b3o$26bo5bob3o$26b2o5b
o3b2o$22b2o9b6o$21bo2bo5bo5b5o$15bo4b2ob2o5bo2bobo2b2o$15b2o4bobo6bo2b
obo2b2o$13b3ob2o2b3o6bo5b5o$13b4o6b2o8b6o$15bobo15bo3b2o$13b3o16bob3o
$8b2o3bo2bo7b2o8b3o$9bo4b2o9bo$9b2o2b4o8b2o2$32bobo$22bo10bob4o$13b3o
4b5o8b3ob2o$12b5o4b3o6b2ob2ob5o$12bobobo2bob3obo4b2ob3o2b2o$12bobobo2b
ob3obo4b2ob3o2b2o$12b5o4b3o6b2ob2ob5o$13b3o4b5o8b3ob2o$22bo10bob4o$32b
obo!
This counts for a growing ship, right?

Code: Select all

x = 94, y = 76, rule = B3-q5i7/S2456
81bo$58bo21bo$56b5o3b5o10bo2b3o$57b3o5bobo6bo4bo2b2o$55bo2b2obo3bobo6b
o3b4ob2o$55bo2b2obo3bobo6bo3b4ob2o$56b3ob2o3bobo6bo4bo2b2o$58b2o4b5o10b
o2b3o$57b2obo19bo$57bo23bo$57bo$53b2o3b2o9b2o6b2o$53b3o13bo7bo$52bob2o
12b2o6b2o$53bo3bo$79bob4o$57b2obo19bo2b2o$56b4o14bo4bo2b4o$58b2o5b2o7b
o3b4ob3o$58b2o14bo3b4ob3o$57b4o13bo4bo2b4o$58b2o20bo2b2o$79bob4o2$69b
4o$90bo$89bo$88bo2b3o$83bo4bo2b2o$83bo3b4ob2o$83bo3b4ob2o$83bo4bo2b2o
$88bo2b3o$89bo$47b2o41bo$46b4o$bo40bob4o$obo38b4obo$obo38b4obo$bo40bo
b4o$46b4o$47b2o41bo$89bo$88bo2b3o$83bo4bo2b2o$83bo3b4ob2o$83bo3b4ob2o
$83bo4bo2b2o$88bo2b3o$89bo$90bo$69b4o2$79bob4o$58b2o20bo2b2o$57b4o13b
o4bo2b4o$58b2o14bo3b4ob3o$58b2o5b2o7bo3b4ob3o$56b4o14bo4bo2b4o$57b2ob
o19bo2b2o$79bob4o$53bo3bo$52bob2o12b2o6b2o$53b3o13bo7bo$53b2o3b2o9b2o
6b2o$57bo$57bo23bo$57b2obo19bo$58b2o4b5o10bo2b3o$56b3ob2o3bobo6bo4bo2b
2o$55bo2b2obo3bobo6bo3b4ob2o$55bo2b2obo3bobo6bo3b4ob2o$57b3o5bobo6bo4b
o2b2o$56b5o3b5o10bo2b3o$58bo21bo$81bo!
My Rules: Hash2F
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confocaloid
Posts: 3065
Joined: February 8th, 2022, 3:15 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » March 4th, 2024, 9:52 pm

Diagonal 61c/368 spaceship, two engines

Code: Select all

x = 31, y = 20, rule = B2ik3acijr4eijkqty6c8/S2-ci3ijnqr4it5ck6a7e
28bo$13bo13b4o$14bo11bo3bo$14bo9b2o3b2o$23b2obobo$21bob2ob3o$21bobob2o
7$15bo$o13b4o$bo11bo3bo$bo9b2o3b2o$10b2obobo$8bob2ob3o$8bobob2o!
#C [[ ZOOM 2 TRACKLOOP 368 61/368 61/368 ]]
One engine is a puffer that makes completely asymmetric statorless p187 oscillators

Code: Select all

x = 16, y = 16, rule = B2ik3acijr4eijkqty6c8/S2-ci3ijnqr4it5ck6a7e
2bo3bo3bo2bobo$4bobob3o3b2o$o3bobobobo2b3o$b3ob3o3b2obo$3b5o3bo2bo$2ob
2o2b5ob3o$o3bo3bo3b3o$obo4bob2ob4o$b5ob2ob3o2bo$3obobo2b3obobo$6b7obo$
o2bob2obobo2bobo$4obo2b4o2b2o$o3b2ob2ob6o$b4o2bob3obo$b2ob2o6bobo!
#C [[ ZOOM 4 ]]
The p187 oscillator

Code: Select all

x = 3, y = 4, rule = B2ik3acijr4eijkqty6c8/S2-ci3ijnqr4it5ck6a7e
2o$b2o$2o$o!
#C [[ ZOOM 10 X 9 Y -4 THEME Catagolue GRID STARTFROM 187 ]]
/newrule

Two U-turners make a p452 glider gun

Code: Select all

x = 88, y = 58, rule = B3-k4cq5ce8/S235ck6ei
o7$20b3o$20bo$21bo17$19b2o$17b2obo$17b3o49b2o$17b2o49b3o$67bob2o$67b2o
17$66bo$67bo$65b3o7$87bo!
#C [[ MAXGRIDSIZE 9 THEME Catagolue ]]
A single U-turner is a p452 pi spark factory; the loafer and standard spaceships all evolve the same way as they do in Life

Code: Select all

x = 40, y = 20, rule = B3-k4cq5ce8/S235ck6ei
2b2o33b3o$bobo22bo12bo$3o23b2o10bo$3o25bo$25b3o$25bo$31bo$30bobo$25b3o
b2o2bo$25b2o4b2o6$16b2o9bo$14bo4bo5bo3bo5bo2bo$20bo9bo8bo$14bo5bo4bo4b
o4bo3bo$15b6o5b5o5b4o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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rabbit
Posts: 9
Joined: March 4th, 2024, 6:00 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by rabbit » March 6th, 2024, 2:38 am

10c/20, (9, 1)c/22 spaceships:

Code: Select all

x = 41, y = 13, rule = B34jntw/S23
17b2o8b2o$17b2o8bo$4bo16b3o4bo$o3b2o3b2o9bo3bo11b3o$o3b2o3b2o8bo3b2o
11bo2bo$18bo17bo3bo$18bo2bo9b3o6bo$18bo17bo3bo$o3b2o3b2o8bo3b2o11bo2bo
$o3b2o3b2o9bo3bo11b3o$4bo16b3o4bo$17b2o8bo$17b2o8b2o!

Code: Select all

x = 41, y = 17, rule = B34jntw/S23
5bo$o3bo5bo$o4bo4bo5b3o$6b3o6b2ob2o$15b2obo$13bo2bo$13bobo$14bo8b2o$
22bo13b3o$7b2o14b3o9bo3bo$7b2o7b2o7b3o5bo6bo$16b2o8b2o3b3o6bo$30bo2b3o
4bo$29bo2bo4b3o$29bobo$29b2o$29b2o!
U+1F430
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b-engine
Posts: 1390
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » March 6th, 2024, 4:05 am

rabbit wrote: ↑
March 6th, 2024, 2:38 am
 10c/20, (9, 1)c/22 spaceships:

Code: Select all

Code: Select all

"Transparent" 10c/90 effect:

Code: Select all

x = 106, y = 19, rule = B34jntw/S23
77b3o$63b2obo13bo$64b4o8b2o3bo$65b2o11bo3bo$67bo6b2o6bo$71b3obo6bo$18b
2o9b2o38b2ob4o2bo2bo$10bo7b2o9b2o38b2obobo4b2o$9b2o17bobo38bo2bo20b3o
$2o7b3o20b3o35b2o11bo$2o5bob3o23bo30b2o13bo3bo6bo2bo$5b3o15b3o5bo4bo29b
2o7b2o9bo4b2ob2o7bo$5bo17b2o6bo4bo38b2o9bo5bo2bo7b3o$5b3o15b3o5bo4bo45b
o3bo6b2o8b2o$2o5bob3o23bo47bo2bo16bo$2o7b3o20b3o50bo13b2obo$9b2o17bob
o69b2o$10bo7b2o9b2o$18b2o9b2o!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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H. H. P. M. P. Cole
Posts: 153
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by H. H. P. M. P. Cole » March 8th, 2024, 10:52 pm

100th post!

Contents:

1. B2-ac3-a/S2-e3-eir
2. B3-ckny5iy6c/S23-ckr5ce6ik
3. FactorioLife
4. ColePhotonsZwei

RULE 1

The three small c/2 spaceships in this rule will be called (from left to right) the chevron, grin, and long chevron.

Code: Select all

x = 16, y = 4, rule = B2-ac3-a/S2-e3-eir
bo5b2o5bo$obo3bo2bo3bobo2$15bo!
Not only that, this rule has a tiny p33 double-barreled chevron gun which can be capped by a duoplet:

Code: Select all

x = 11, y = 3, rule = B2-ac3-a/S2-e3-eir
7bobo$bo4bo3bo$o6bobo!
(the chevron from the other side rephases the duoplet)

Here is a little pattern collection for this rule:

p1, p2, p4, p5, p6, p7, p8, p12, p18, p33, p165, c/2o, 2c/4o, 3c/6o, 6c/12o, 12c/24o, 42c/84o, c/8d
p33 chevron gun, p66 chevron gun, p33 grin gun, p33 long chevron gun

Code: Select all

x = 216, y = 126, rule = B2-ac3-a/S2-e3-eir
2o3b2o4bo6bo9bo11b2ob2o$2o4b2o2b2o5b2o8b2o12b2ob2o$12b2o5b2obo6b2ob2o
bo$12bo6bob2o6bob2ob2o$23b2o11b2o2b2ob2ob2o$23bo12bo4b2ob2ob2o6$o3b3o
3b2o4b2o5bo3bobo4bobo5b2o4b2o4b2o$bo8bo2bo2bobo2bobo3bo2bo2bo2bo3bo2b
o3bo6bo2bo21bo5bo5bo4b2o4bo6b2o5b2o6bo4bo5b2o5b2o7b2o7bo8b4o6bo14b3o11b
o$17b2o3bobo3bobo4b2o5b2o3bo2bo4bobo20bobo3bobo3bobo2bo2bo2bobo4bo2bo
3bo2bo4bobo2bobo3bo2bo3bo2bo5bo2bo5bobo8b2o6bobo14bo13b2o$11bo10bo26b
2o4b2o151bo$86bo5bo10bo4bo2bo3bo2bo4bo6bo6bo3bo8bo2bo7bo6b6o6bo12b5o11b
o$108bob2o3bob2o5bo4bo6b2o3b2o6b2o2b2o12bo6bo4bo12bo5bo$91b2o9bo20b3o
2b3o6bo3bo7bob2obo5bo49bo3bo$33bo5bo7b2o41bo13bo3bo2bo3bo2bo42bo31b5o
14bobo$b2o4bob2o4bob2o4b2obo4bo5bo3bo3b2obo41bo13bo18bobo2bobo30bo51b
obo$7bo3bo3bo3bo3bo3bo4b3o3b3o4bo3bo54bo4b2o5b2o$o2bo4bob2o4b2obo4b2o
bo3bo5bo3bo4bob2o73bo2b2o2bo37bo4bo$4o4b2o23bo5bo6b2o60bo9bo$110bo5bo
7bo4bo$124bo4bo6$17bo$2bo5bo17b2o7bo$o2bo6bo4bo3bo4bo3b2o3bo3b2o$bo5b
o18b2o5bo3b2o$9bo7bo17bo64bobo26bobo29bobo$94bo4bo3bo19bo4bo3bo22bo4b
o3bo$93bo6bobo19bo6bobo22bo6bobo2$180bobo$bobobobo171bo3bo4bo$obo3bob
o171bobo6bo$o7bo3$o7bo70bo29bo34b3o24bo$obo3bobo69bobo27bobo34bo26bo$
bobobobo136bobo$78bobo27bobo34bo$79bo29bo34b3o3$4bo$2bo2bo$bo4bo4bobo
65bo29bo34bo$14b2o62bo29bo36bo$o4bo5b2o$bo2bo8bobo$2bo6$2bo5bo$3bo3bo
2$3bo3bo$2bo5bo6$4bo$2b2o$6bo$o5bo5b8o$bo5bo4b2o4b2o$bo11bo4bo$4b2o$3b
o6$2o2bo$obo$b2o7$b4o$o3bo$4bo$2obo9$7bobo$bo4bo3bo4bo$o6bobo6bo13$7b
obo$bo4bo3bo17bobobo$o6bobo18b2ob2o5bo$28bobobo4bo!
Chevron + chevron and chevron + duoplet collisions:

Code: Select all

x = 279, y = 106, rule = B2-ac3-a/S2-e3-eir
obo14bobo14bobo14bobo14bobo$bo16bo16bo16bo16bo$122bo25bo25bo25bo25bo25b
o25bo$121bo25bo25bo25bo25bo25bo25bo$122bo25bo25bo25bo25bo25bo25bo10$110b
o$109bobo24bo$bo15bo15bo15bo15bo69bobo24bo$obo13bobo13bobo13bobo13bob
o94bobo24bo$187bobo24bo$213bobo24bo$239bobo24bo$265bobo9$bo16bo16bo16b
o16bo$3o14b3o14b3o14b3o14b3o4$122bo25bo25bo25bo25bo25bo25bo$121bo25bo
25bo25bo25bo25bo25bo$122bo25bo25bo25bo25bo25bo25bo9$bo15bo15bo15bo15b
o$obo13bobo13bobo13bobo13bobo42b3o$110bo24b3o$136bo24b3o$162bo24b3o$188b
o24b3o$214bo24b3o$240bo24b3o$266bo30$bobo11bobo11bobo11bobo11bobo11bo
bo11bobo11bobo$2bo13bo13bo13bo13bo13bo13bo13bo19$5bo12bo12bo12bo12bo12b
o12bo12bo$6bo12bo12bo12bo12bo12bo12bo12bo!
this rule is sadly unapgsearchable.

TODO:
- build a cyclotron-esque gun with the chevron+duoplet to 4 chevrons reaction
- find more ships of different speeds
- find more periods, especially p3 (I have no idea if that is possible)


RULE 2

This is one of the Pentadecathlon rules, where a line of four evolves into a pentadecathlon:

Code: Select all

x = 4, y = 1, rule = B3-ckny5iy6c/S23-ckr5ce6ik
4o!
However, though this rule shares many objects with life, its dynamics are nothing like Life. There are several pentadecathlon hasslers, traffic-light hasslers, a c/24o, and an insanely small c/10d.

p1, p2, p3, p4, p5, p6, p7, p8, p9, p12, p14, p15, p16, p19, p22, p26, p37, c/24o, c/10d, some smallish sequences

Code: Select all

x = 177, y = 83, rule = B3-ckny5iy6c/S23-ckr5ce6ik
2o4bo5bo4b2o4bob2o5b2o4bo4b2o5b2o5b2o16b2o$2o3bobo3bobo3bobo3b2obo3bo
2bo3bobo3bobo3bo2bo3bo2bo14bo2bo$6bo5b2o4b2o10b2o5bo2bo5bo2bo2bo2bo2b
o14bo4bo$38b2o5b2o3b2o4b2o16bo2bo$70b2o3b2o3b2o$69bo2bo6bo2bo50bobo$2b
2o2b2o6b2o10bo27bo14bobo8bobo50b3o$3bo2bobo4bobo3b2o4bobo6b2o4bobobob
o6bobo14bo10bo$b2o6bo3bo4bo2bo3bo2bo5bobo2bob2ob2obo5bo2bo52b2o19b2o2b
o2b2o$o9bo3bo3b2o2bo3bo2bo2b2o2bo3bobobobo4b2o4bo50bo2bo19bobobobo22b
o$2o7b2o2b2o6b2o4b2o3bo2bo14bo4b2o52bobo18b2o2bo2b2o20b3o11bo$33b2o16b
o2bo55bo61bobo$52bobo17b2o4b2o8b2o43b3o39bo$53bo19bo4bo10bo23bo19bobo
24bo13b2o$71bo8bo6bo20bo3b3o44bobo$17b2o52b2o6b2o6b2o18bo3bo3bo4bo37b
o3bo$3o4b3o8bo7b2o2bo75b2o11bobo37bobo$8b3o4bo6b3obo3bo76bo10bo2bo38b
o$15b2o9b2o2bo42bo4bo10bo4bo7b2o4bo5bo4b2o$73b2o2b2o10b2o2b2o6bo2bo10b
o$3b2o68bo4bo10bo4bo6bobo11b2o$3bo2b2o94bo4bo3bo3bo$4b2obo100b3o3bo$95b
2o12bo$ob2o92bo$2o2bo89bo17bo$3b2o89b2o15bobo$76bo34bo2bo13bo6bo4bo6b
o$77b2o33b2o13bobo5b2o2b2o5bobo$4b2o73bo48bo6bo4bo6bo$3bo2bo5b2o63b3o
$3bo2bo4bo2bo63bo$b2o2bo4bo60b2o$o8bo3b2o55bob2o16bo3bo3b2o3bo3bo$o2b
o5bo2bo57bobo11bo4bobob2o3b2o3b2obobo$b2o7bobo56bo11bobo6bo3bo8bo3bo$
80b2obo$81b2o$18bo2bo53bo52bo14bo$18bo2bo52b3o50bobo4b4o4bobo$bo8bo5b
2ob2ob2o50bo53bo14bo$obob4obobo6bo2bo53b2o$bo8bo7bo2bo55bo$16b2ob2ob2o
$18bo2bo$18bo2bo2$6b2o$bo3bo2bo3bo$obobo4bobobo59bo4bo$bo3bo2bo3bo58b
2ob4ob2o$6b2o65bo4bo$160bob2o$160bo2bo$160bo$161b3o2$2b2o7b2o$bobo2bo
bo2bobo$o5b3o5bo55b2o4bo$2o11b2o55b3o2bobo$76bo2$2o11b2o59bo$o5b3o5bo
58bobo$bobo2bobo2bobo59bo2bo$2b2o7b2o61b2o2$173b3o$173bo2bo$173bo2bo$
174b3o$7b2o$6bobo$6b2o$148b3o3b3o$6b3o62bo4bo72bo5bo$3o2b2obob3o57bob
o2b2o$6b3o62bo4bo6bo4bo$83b2o2bobo$6b2o75bo4bo$6bobo$7b2o!
cata

RULE 3

What do you get when you cross Factorio and Life? A mess...

Code: Select all

x = 231, y = 99, rule = R3,C2,S2,8,14,21,B3,9,21,NW7007007000100000010007110117000100000010007007007
2o13bobo13bo2bo12bobo11bobo8b2o$2o13bobo13bo2bo2$46b2o10bobo8b2o7$15b
obo13bo2bo2$15bobo13bo2bo8$47bo14bo$31bo2bo2$44bo5bo8bo5bo$31bo2bo2$47b
o11bo2bo15$18b2o11b2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo15b
o8bo$o2bo2bo10bo2bo9bo3bo10bo4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b
2o8b2o45b2o8bobo7b2o$182b2o6bobo15b2obo6b2obo5b2obo$182bo7bo7$18b2o11b
2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo$208b2o8bobo7b2o$17b
o2bo9bo3bo10bo4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b2o8b2o$208b2ob
o6b2obo5b2obo7$78bo$50bo13bo15bo2$47b2o12bobo19bo$45bo14bo20bo11$bo2b
3o7$4b3o3$2o6$5bo3$8bo3$2bo2bo2bo!
Macro-R-pentomino

Code: Select all

x = 7, y = 7, rule = R3,C2,S2,8,14,21,B3,9,21,NW7007007000100000010007110117000100000010007007007
3bo2bo3$o2bo3$3bo!
i won't even bother putting up a pattern collection cause this rule is so wack

cata

APGtable:

Code: Select all

@RULE FactorioLife

@COLORS
0 0 0 0
1 255 255 255

# This ruletable is automatically generated by CAViewer
# Note that is ruletable may not work properly in Golly as it is meant to be run by lifelib.
# If this ruletable operates in with a range 1 neighbourhood, switch neighbourhood:... with neighbourhood:Moore or any other appropriate neighbourhood to run it in Golly

@TABLE
n_states:2
neighborhood:[(0, 0), (-3, -3), (0, -3), (3, -3), (0, -2), (0, -1), (-3, 0), (-2, 0), (-1, 0), (1, 0), (2, 0), (3, 0), (0, 1), (0, 2), (-3, 3), (0, 3), (3, 3), (0, 0)]
symmetries:none

var _any.0.0 = {0, 1}
var _any.1.0 = _any.0.0
var _any.2.0 = _any.0.0
var _any.3.0 = _any.0.0
var _any.4.0 = _any.0.0
var _any.5.0 = _any.0.0
var _any.6.0 = _any.0.0
var _any.7.0 = _any.0.0
var _any.8.0 = _any.0.0
var _any.9.0 = _any.0.0
var _any.10.0 = _any.0.0
var _any.11.0 = _any.0.0
var _any.12.0 = _any.0.0
var _any.13.0 = _any.0.0
var _any.14.0 = _any.0.0
var _any.15.0 = _any.0.0

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1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1
1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1
1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1
1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1
1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1
1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1
1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1
1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1
1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1
1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1
1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1
1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1
1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1
1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1
1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1
1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1
1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1
1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1
1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1
1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1
1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1
1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1
1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1
1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, _any.0.0, _any.1.0, _any.2.0, _any.3.0, _any.4.0, _any.5.0, _any.6.0, _any.7.0, _any.8.0, _any.9.0, _any.10.0, _any.11.0, _any.12.0, _any.13.0, _any.14.0, _any.15.0, 0
RULE 4

Here's a variant of ColePhotons called ColePhotonsZwei:

Code: Select all

@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
The main differences between ColePhotons and ColePhotonsZwei are the addition of a fifth state (Rock), and a new c/2d glider:

Code: Select all

x = 12, y = 2, rule = ColePhotonsZwei
A10.C$B9.BA!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
Logic gates work similarly:

Code: Select all

x = 102, y = 36, rule = ColePhotonsZwei
9.B27.B$9.A27.A5$4.C26.BA14$89.BA9.AB13$6.D20.D20.D20.D$6.C20.C20.C20.
C$C11.C8.C11.AB6.BA11.C7.BA11.AB!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
The basic reactions work simialrly: however, with state 5, there are new reactions. Here are the reactions between a photon and either of a catalyst, rock, or heterodomino:

(from top to bottom: orthogonal push, eating, splitting, reflecting, and catalyst removal)

Code: Select all

x = 93, y = 126, rule = ColePhotonsZwei
.C13.C16$A12.A$B12.B10$28.C13.C13.C$D13.D13.D13.D13.D9.DC9.DC12.DC16$
A12.A14.A12.A12.A13.A8.A12.A$B12.B14.B12.B12.B13.B8.B12.B10$12.D$C11.
C16$A11.A$B11.B9$DC16$.A$.B9$DC16$3.A$3.B!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
Adjustable oscs work similarly to ColePhotons (new catalysts), but here, we have a new p2 and p3:

Code: Select all

x = 16, y = 1, rule = ColePhotonsZwei
D.D8.D.C.D!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
So ColePhotonsZwei is omniperiodic.

A rock can eat the two fundamental ships:

Code: Select all

x = 28, y = 8, rule = ColePhotonsZwei
D26.D6$A18.C$B17.BA!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
The only elementary linear growth I know of is this p6 gun:

Code: Select all

x = 5, y = 2, rule = ColePhotonsZwei
D3.D$2.C!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
Rocks can be used to reflect the c/2d:

Code: Select all

x = 12, y = 12, rule = ColePhotonsZwei
6.D$6.B$5.CA3$DBA6.C$2.C6.ABD3$5.AC$5.B$5.D!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
Here are some elementary oscillators, i.e. oscillators which do not make use of any splitter or reflector.

p1, p2, p3, p6, p12

Code: Select all

x = 33, y = 28, rule = ColePhotonsZwei
C4.D4.CD5.C2DC5$D.D4.D.3D4$10.D17.D.B$D.CD8.CD5.D.C.D6.C$30.B.D4$.D8.
DC$18.C6.D$C4.D3.C7.B7.B$17.C6.C$.D8.DC5.D4.DB5$D.D$BA$C$D!
@RULE ColePhotonsZwei
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
var a1 = {0,1,2,3,4}
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1
var a7 = a1
var a8 = a1
0, 0,0,0,0,0,0,1,0, 1
1, a1,a2,a3,a4,a5,a6,a7,a8, 2
1, 1,a1,a2,a3,a4,a5,a6,a7, 0
2, a1,a2,a3,a4,a5,a6,a7,a8, 0
0, 0,3,0,1,0,0,0,0, 1
0, 0,3,0,0,1,0,0,0, 1
0, 3,0,1,0,0,0,0,0, 1
0, 3,1,0,0,0,0,0,0, 3
3, 3,0,2,0,0,0,0,0, 0
3, 2,0,3,0,2,0,0,0, 0
3, a1,3,a3,a4,a5,a6,a7,a8, 1
3, 3,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,3,a3,a4,3,a6,a7,a8, 1
0, a1,3,a3,a4,a5,3,a7,a8, 1
3, 3,a2,a3,a4,3,a6,a7,a8, 1
3, 0,2,1,0,0,0,0,0, 1
0, 3,0,1,2,0,0,0,0, 3
3, a1,2,a3,a4,a5,1,a7,a8, 0
0, 0,1,0,1,0,0,0,0, 1
4, a1,4,a3,a4,a5,a6,a7,a8, 0
4, a1,a2,4,a4,a5,a6,4,a8, 0
0, 4,a2,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,4,a6,a7,a8, 4
0, a1,4,a3,a4,a5,4,a7,a8, 4
0, 3,0,1,1,2,0,0,0, 3
4, a1,3,a3,a4,a5,a6,a7,a8, 0
0, 4,a2,a3,a4,3,a6,a7,a8,1
0, 4,a2,a3,3,a5,a6,a7,a8,1
0, 3,a2,a3,a4,3,a6,a7,a8,3
@COLORS
1 0 255 255
2 0 128 255
3 0 0 255
4 255 255 255
@NAMES
1 Photon head
2 Photon tail
3 Catalyst
4 Rock
I hope you enjoyed this absurdly long post!
Last edited by H. H. P. M. P. Cole on April 9th, 2024, 6:08 am, edited 2 times in total.
Harfordson Parker-Cole

Factorio
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b-engine
Posts: 1390
Joined: October 26th, 2023, 4:11 am
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine » March 9th, 2024, 1:53 am

H. H. P. M. P. Cole wrote: ↑
March 8th, 2024, 10:52 pm
 The three small c/2 spaceships in this rule will be called (from left to right) the chevron, grin, and long chevron.

Code: Select all

x = 16, y = 4, rule = B2-ac3-a/S2-e3-eir
bo5b2o5bo$obo3bo2bo3bobo2$15bo!
Congrats on the 100th post!

Also there're another p24 tagalong for chevron, "very long chevron":

Code: Select all

x = 9, y = 5, rule = B2-ac3-a/S2-e3-eir
bo5bo$obo3bobo2$2bo5bo$7bo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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

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Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.
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TYCF
Posts: 523
Joined: August 7th, 2023, 3:44 am
Location: England, United Kingdom,

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TYCF » March 9th, 2024, 3:56 am

A (7,3)c/47 oblique spaceship.

Code: Select all

x = 3, y = 3, rule = B2e34i78/S23a4i5ae678
2bo$bo$3o!
A 7c/90 diagonal spaceship.

Code: Select all

x = 13, y = 5, rule = B2e34i78/S23a5e8
8b2o$bobo4b2o$2o2bo7bo$b2o7bobo$11b2o!
Last edited by TYCF on March 9th, 2024, 9:22 am, edited 1 time in total.

Code: Select all

x = 5, y = 3, rule = B3/S23
obobo$2ob2o$obobo!

Code: Select all

x = 5, y = 4, rule = B35/S234i8
2bo$bobo$2ob2o$5o!
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