ConwayLife.com

strake

I just modified it to formulate the evolutionary rule as a z3 function — search might be a little speedier now. Upcoming features: Ability to specify a rule range rather than a single rule, like LLS — this will allow asking questions such as this example: which D₆ -symmetric hexagonal rules support...

strake

I see that the way the search is set up requires a live cell on the top row, which means the x dimension of the search regulates the search run time in the same way the width does for other -find programs. I'm not sure it's so smart — it blithely finds patterns of multiple non-interacting parts, wh...

strake

The goods I was tired of not having a search program for hexagonal rules, so i hacked this up over the past few days. It's essentially a z3 driver: it declares a variable per cell and plugs in the constraints, and z3 emits patterns! Cheers! P.S. It already disproved a few conjectures of mine about ...

strake

I discovered an interesting rule, B2o45/S2o45 a few years ago. Gliders and simple oscillators are extremely common; still lifes are quite uncommon (but possible).

strake

3-glider synthesis of duplex rake in B2o45/S2o45H:

Code: Select all

x = 30, y = 25, rule = B2o45.S2o45
24b2o$27bo$25b4o$25b3o$25b3obo$29bo11$o$ob3o$2b3o11b2o2bo$b4o11b2obo$
2bo13b2obo$4b2o11bob2o$19bo2$20bo!

strake

Xenonquark wrote:Sad that there's no download for this.

Download for what?

strake

Full-width speed-1 spaceship (is this the term?) on a torus:

Code: Select all

x = 13, y = 6, rule = B2o45.S2o45:T0,6
4bobobobobo$4bobobobobo$o3bobobobobo$2bo3bobobobo$4bobobobobo$6bobobob
o!

strake

A new kind of gun:

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x = 5, y = 10, rule = B2o45.S2o45
3bo$3obo$b3o$2b3o$o$4bo$3o$b3o$ob3o$bo!

A p3 oscillator with stator which to my knowledge is novel:

Code: Select all

x = 12, y = 10, rule = B2o45.S2o45
o2$bo$b2obo$b2ob2o$o3b2o2bo$4b2ob4o$8bobo$8b4o$10bo!

strake

SeanBP wrote:Because this code is basically a simplification of Newton's Third Law

No, that law per se allows things to remain in touch indefinitely.

strake

I have come up with a fairly different cellular automaton rule, and does not work off of the basic born/survive/die rules that the Game of Life does. I couldn't figure out how, or if, I could write this in Golly, so I wrote it in Java here https://gist.github.com/SeanBP/1bdf1001802ea77e42ed . The b...

strake

A p12 oscillator what I posted earlier is actually composite:

Code: Select all

x = 11, y = 11, rule = B2o45.S2o45
3o$4o$b3o$2b2o4$7b3o$7b4o$8b3o$9b2o!

strake

A (common p6 oscillator) puffer, speed (1,1,0)/3, puff period 24, synthesized of 2 sparky gliders: x = 21, y = 22, rule = B2o45.S2o45 b2o$obobo$ob2obo$2b3o$3b2o$4bo10$14b3o$14b4o2$15b4o$14bob3obo$17b2o$ 18bo! By the way, I am henceforth calling this oscillator "raindrop" as it reminds me of a raindr...

strake

p24 compound glider:

Code: Select all

x = 18, y = 18, rule = B2o45.S2o45
3o$2b2o$b4o$2bobo$4bo5$3b2o$6bo$4b4o$4b3o$4b3obo4b3o$8bo6b2o$14b4o$15b
obo$17bo!

strake

Signals catching up to wickstretchers, one which actually slows down when it reaches the front: x = 49, y = 49, rule = B3/S234 2ob2o3b2ob2o3b2ob2o7b2ob2o11b2ob2o$bobo5bobo5bobo9bobo13bobo$2obobobob ob2o3b2ob2o7b2ob2o11b2ob2o$bobobobobobo5bobo9bobo13bobo$2obob3obob2o3b 2ob2o7b2ob2o11b2ob2o$bobo2bo2bo...

strake

Various glider-glider reactions: x = 261, y = 30, rule = B2o45.S2o45 114bobobo$114bob2obo$34b2o80b3o$117b2o$34b3o51b2o28bo$35b3o53bo$8b2o 24bob3o50b4o$11bo23bo20b2o31b3o$9b4o42bo33b3obo58bo$9b3o43b4o34bo57bob o$9b3obo43b3o91b5o$13bo29bo12bob3o92b5o$43b2o12bo54bo39b4ob2o$43b3o66b ob3o38b4o22bo23bo35b...

strake

Memory cell:

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x = 70, y = 28, rule = Bo45So45
5bo$4b4o$5bobo$5b4o8bo$7bo$18bo$35bo$19bo12b3obo$19b2o12b3o$19b3o12b4o
$18bo4bo13bo$17bo7bo9b2o10$o$ob3o62bo$2b3o59b3obo$b4o60b3o$2bo63b4o$4b
2o63bo$67b2o!

strake

Another still and p3 oscillator:

Code: Select all

x = 16, y = 16, rule = B2o45.S2o45
12bo$11b4o$12bobo$9b2ob4o$8bob2o2bo$8b2ob2o$6bo2b2obo$5b4ob2o$6bobo$4b
ob4o$3b3o2bo$bo2b3o$4obo$bobo$b4o$3bo!

strake

MMM Breeder: x = 771, y = 329, rule = B2o45.S2o45 48b2o$48b2obo$48b2obo2bo3bo29b2o$49bobo3bo32b2obo$51bo3bo32b2obo36b2o$ 55b2o32bobo36b2obo$54b2o35bo4bo31b2obo2bo3bo29b2o99b2o$60bo35b2o31bobo 3bo32b2obo96bobobo$62bo33b3o32bo3bo32b2obo36b2o60b4o$64bo70b2o32bobo 36b2obo54bo3bobo$58bo7bo67b2o35bo4bo31b...

strake

Common speed-8/22 orthogonal ship in B3/S23/C7:

Code: Select all

x = 9, y = 7, rule = 23/3/7
.2A3.2A$2A2F.2F2A$.ACBFBCA$2.ACDCA$3.3A$4.A!

Common p32 spinning oscillator in B3/S23/C8:

Code: Select all

x = 6, y = 7, rule = 23/3/8
4.D$2.BCFE$.AC2F$A2C$.ACFA$2.3A$3.A!

strake

Wildmyron's gun is readily doubled, as the one oscillator keeps its phase invariant: x = 49, y = 49, rule = B2o45.S2o45 31bo$30b4o$31bobo$31b4o$27b2o4bo$26bob2o$23b2ob2ob2o$27b2obo$24b3ob2o$ 24b3o$24b3obo$19b3obo4bo$16bo4b2o$20b4o$17bo3bobo21bo$o3bo11bob2o3bo 20b4o$ob2obo10b2obo25bobo$obobobo5b2o3b2...

strake

Extinguishing a rear-flaming glider:

Code: Select all

x = 9, y = 11, rule = B2o45.S2o45
5b3o$5b4o$6b3o$7b2o2$bo$b2o$b3o$ob2obo$bobobo$3b2o!

strake

An interesting rule. You can simplify the rule table by using the rotate6reflect symmetry - see the first post in the 22da thread for an example. Good call, thanks, I so simplified the rule in the OP. Natural occurring back rake Natural gun Neat, I haven't seen these naturally either. Glider bounci...

strake

I've been playing with this for a while. @RULE B2o45.S2o45 @TABLE n_states:2 neighborhood:hexagonal symmetries:rotate6reflect var r={0,1} var s={0,1} var t={0,1} var u={0,1} var v={0,1} var w={0,1} var x={0,1} var y={0,1} var z={0,1} w,1,1,0,0,0,0,1 w,0,0,1,1,1,1,1 w,0,1,0,1,1,1,1 w,0,1,1,0,1,1,1 w,...

strake

My Trichromatic Life A is such a CA. @RULE TriLifeA @TABLE n_states:4 neighborhood:Moore symmetries:permute var a={1,2,3} var b={1,2,3} var c={1,2,3} var r={0,1,2,3} var s={0,1,2,3} var t={0,1,2,3} var u={0,1,2,3} var v={0,1,2,3} var w={0,1,2,3} var x={0,1,2,3} var y={0,1,2,3} var z={0,1,2,3} w,a,a,...

strake

2 puffers I found: x = 31, y = 45, rule = TriLifeA 13.B11.5B$11.B3.B9.B4.B$10.B14.B$10.B4.B10.B3.B$10.5B13.B2$.A2.A$A$A 3.A$4A$6.3A$6.2A.2A$6.3A$4A$A3.A$A$.A2.A2$10.5B13.B$10.B4.B10.B3.B$ 10.B14.B$11.B3.B9.B4.B$13.B11.5B3$6.5B$6.B4.B$6.B$7.B3.B$9.B3$6A$A5. 2A$A5.A.2A$.A3.A$3.A$2.2A$.4A$2A.2A$.2A$13....

ConwayLife.com

Search found 26 matches

Re: Yet another search program (with hexagons!)

Re: Yet another search program (with hexagons!)

Yet another search program (with hexagons!)

Re: Non-totalistic hex rules

Re: Glider Syntheses in Other Rules

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: Repel

Re: Repel

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: B3/S234

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Re: Hex rule B2o45/S2o45

Hex rule B2o45/S2o45

Re: Hybrid CAs

Re: Trichromatic Life A