ConwayLife.com

Posted: **September 11th, 2025, 2:39 pm**

I'll probably forget about this, and I've probably made a thread before that I forgot about as well, but anyways, here is my sandbox thread for stuff I find and build.

3c/5 rake in B23r/S:

Sylvani wrote: September 9th, 2025, 10:16 am Massive 3c/5 rake from a while ago, cross-posted from Discord:

Code: Select all

x = 53, y = 75, rule = B23r/S
23b3ob3o$23bo5bo$24bo3bo$15bo2b2o2bo7bo2b2o2bo$19bo3b2o3b2o3bo$15bo3bo
3bobobobo3bo3bo$13bo2bobo6bobo6bobo2bo$15bo2bo15bo2bo$10bo8bo13bo8bo$
24bo3bo$9bob2o27b2obo$11b2o8bo9bo8b2o$10bobo5bo15bo5bobo3$11bo29bo$5bo
b3o2bo27bo2b3obo$4bo3bobobo27bobobo3bo$4bo4b4o27b4o4bo$4bo8bo25bo8bo$
5bo2b2o2bo27bo2b2o2bo$7bobo33bobo$7bobo33bobo2$6bobo35bobo2$5b2ob2o33b
2ob2o$5bo3bo33bo3bo2$bo3bo3bo33bo3bo3bo$o51bo2$2bo3bo39bo3bo$bo4bo39bo
4bo$7bo37bo$7bo37bo$6b2o37b2o$7bo2b3o27b3o2bo$10bo31bo$4bob2obo33bob2o
bo$3bo45bo$3bo45bo$4bo43bo$2bo2bo2bo35bo2bo2bo$bo9bo29bo9bo$bobo3b3obo
29bob3o3bobo$bo7bobo29bobo7bo$o4b2o2bo33bo2b2o4bo$7bo3bo2bo23bo2bo3bo$
12b2o25b2o$8bo2bo29bo2bo$8bo3bo27bo3bo$9bo2bo27bo2bo$9bo3bo25bo3bo2$9b
o3bo25bo3bo2$9b2o31b2o$8bo5bo23bo5bo$5b2ob3o31b3ob2o$9b2obo27bob2o$10b
o31bo$15bo21bo$4bo3bo35bo3bo$5b6obo27bob6o$9bo33bo$9bo33bo$8bo35bo$5bo
4bo2b2o23b2o2bo4bo3$9bo3bo3bo17bo3bo3bo2$17b2o15b2o$12bo27bo!

2c/500o that looks like a Von Neumann rule:

Sylvani wrote: September 10th, 2025, 9:58 am Best way I can describe this 2c/500o is "unstable version of B23/S2V that can move its bounding box".
Code: Select all
x = 9, y = 7, rule = B2eik3-cnqy4q5ak6en7/S2-c3ejkqy4ejz5inqy6-n7c
obobobobo2$o7bo2$o5bobo2$obobobobo!

Two cursed ships in B3/S123:

Code: Select all

x = 53, y = 164, rule = B3/S123
8bo26b5o$7b3o24bo5bo$7b3o24b7o$6bo3bo22b9o$5bo5bo20bo9bo$4b3o3b3o$3bo
4bo4bo16b2o11b2o$2b13o15b4o7b4o$bo4b2ob2o4bo15b6ob6o$bob4o3b4obo18bo5b
o$2o5bobo5b2o17bo5bo$3b2o7b2o16b2o4bobo4b2o$2o5bobo5b2o19bobo$2b3o7b3o
19bobobobo$2o6bo6b2o14b2obobobobob2o$2b3ob5ob3o19bobobobo$2o4bo3bo4b2o
16b2obobob2o$2b2o2bobobo2b2o19bobobobo$2o2b2o5b2o2b2o14b2obobobobob2o$
2b3o2b3o2b3o15bobobobobobobobo$2o3bo2bo2bo3b2o12b2obobobobobobob2o$2b
4o5b4o15bo3bobobobo3bo$2o3b2o3b2o3b2o13bo3bobobobo3bo$2b2ob2obob2ob2o
15bo3bobobobo3bo$2o4b5o4b2o12b2ob3obobob3ob2o$2b5o3b5o16bo3b2ob2o3bo$
2o4bo3bo4b2o$2b2o4bo4b2o17bob2obob2obo$2o13b2o12bo2bob2obob2obo2bo$3bo
9bo15b2ob2o3bo3b2ob2o$2o3b2o3b2o3b2o15b2o2b3o2b2o$o5bobobo5bo15b3obobo
b3o$4bobobobobo18bo4bobo4bo$b3o2bo3bo2b3o15bo2bobobobo2bo$b3ob2obob2ob
3o15bo4bobo4bo$2ob2obobobob2ob2o14bo3bobobo3bo$3bo2b5o2bo17bo3bo3bo3bo
$4b3o3b3o20bobo3bobo$32b2ob2ob2ob2o$29b2o2bo2bobo2bo2b2o$28bo3bobobobo
bobo3bo$28bo3bobobobobobo3bo$27b2obobobobobobobobob2o$27b2obobobobobob
obobob2o$28bobobobobobobobobobo$30bobobobobobobobo$30bobobobobobobobo$
30bobobobobobobobo$28bobobobobobobobobobo$26bobobobobobobobobobobobo$
25bo2bobobobobobobobobobo2bo$27b2obobobobobobobobob2o$27b2o3bobobobobo
bo3b2o$27b2obo3bobobobo3bob2o$27b2o7bobo7b2o$27b3o6bobo6b3o$23b2o2b3o
2bobobobobobo2b3o2b2o$27b2o4bo2bobo2bo4b2o$22bo3bo3bo5bobo5bo3bo3bo$
26b4obo2bobobobo2bob4o$25bo3bobob2obobob2obobo3bo$23b2o6bo4bobo4bo6b2o
$24bo6bob3o3b3obo6bo$30b2o2b2obob2o2b2o$29bo3b9o3bo$28b2o4bo2bo2bo4b2o
$30bo13bo$26b2o2b3o9b3o2b2o$26b2o6bob3obo6b2o$27bobo4bobobobo4bobo$34b
obobobo$28bo3bobobobobobo3bo$30bobobobobobobobo$28bobobobobobobobobobo
$29b2obobobobobobob2o$26b2ob2obobobobobobob2ob2o$26b2ob2obobobobobobob
2ob2o$27b2obobobobobobobobob2o$27b2obobobobobobobobob2o$30bobobobobobo
bobo$30bobobobobobobobo$30bobobobobobobobo$27b2obobobobobobobobob2o$
30bobobobobobobobo$29b2obobobobobobob2o$30bobobobobobobobo$27b2obobobo
bobobobobob2o$28bo5bobobobo5bo$29bo2bo3bobo3bo2bo$28bo7bobo7bo$25b4obo
2bobobobobo2bob4o$25b2obobob2o3bo3b2obobob2o$28bobobob2o3b2obobobo$29b
2obobo5bobob2o$30b3o3bobo3b3o$28b2o15b2o$27b3o3bo7bo3b3o$27b2o4bobo3bo
bo4b2o$34b2o3b2o$34b3ob3o$36bobo$35b2ob2o$32bo3bobo3bo$30bo2b3obob3o2b
o$30bo4bobobo4bo$31bobo3bo3bobo$33bobo3bobo$31b3obo3bob3o$30b2obobobob
obob2o$30b2obob5obob2o$31bo3b5o3bo$31b2obo5bob2o$30bob4o3b4obo$30bobo
9bobo$30bobo9bobo$30bob2ob2ob2ob2obo$27b2ob3obobobobob3ob2o$27b2ob5obo
bob5ob2o$31bo2bobobobo2bo$34bobobobo$30b2o2bobobobo2b2o$32b5ob5o2$37bo
$35b2ob2o$35b2ob2o$34b2o3b2o2$32b2ob5ob2o$32b11o$31b13o$30bo13bo$35b2o
b2o$35b2ob2o$35b2ob2o$31b3o7b3o$30b5o5b5o$29bo3b9o3bo$33bobo3bobo$28bo
4b2o5b2o4bo$27b6o4bo4b6o$33bo7bo$37bo$32b2obobobob2o$31b3obo3bob3o$31b
3ob2ob2ob3o$33bobo3bobo$29b3obobobobobob3o$28b2obobobobobobobob2o$28b
3o2bobobobobo2b3o$29bo2b2obobobob2o2bo$28bo4bobobobobo4bo$29bo2b2obobo
bob2o2bo$32b3o2bo2b3o$33bo2b3o2bo$32bobo2bo2bobo$35b5o$31bo2b7o2bo$30b
4o3bo3b4o$36b3o$34b2o3b2o$32bo2b5o2bo$36b3o$32bobo5bobo!

Reburnable fuse in a Von Neumann Deficient rule (B14/S14VD):

Code: Select all

x = 62, y = 1, rule = B14S14DVonNeumann
AC3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C!
@RULE B14S14DVonNeumann

@COLORS
0 0 0 0
1 255 0 0
2 255 127 0
3 255 255 0

# This ruletable is automatically generated by CAViewer

@TABLE
n_states:4
neighborhood:vonNeumann
symmetries:permute

var _d4.0.0 = {1, 2}
var _d4.1.0 = _d4.0.0
var _d4.2.0 = _d4.0.0
var _d4.3.0 = _d4.0.0

var _any.0.0 = {0, 1, 2, 3}
var _any.1.0 = _any.0.0
var _any.2.0 = _any.0.0
var _any.3.0 = _any.0.0

var _d1.0.0 = {1, 3}
var _d1.1.0 = _d1.0.0
var _d1.2.0 = _d1.0.0
var _d1.3.0 = _d1.0.0

var _live.0.0 = {1, 2, 3}
var _live.1.0 = _live.0.0
var _live.2.0 = _live.0.0
var _live.3.0 = _live.0.0

0, _d1.0.0, 0, 0, 0, 2
0, _d4.0.0, _d4.1.0, _d4.2.0, _d4.3.0, 3
1, _live.0.0, 0, 0, 0, 1
1, _live.0.0, _live.1.0, _live.2.0, _live.3.0, 1
2, _live.0.0, 0, 0, 0, 1
2, _live.0.0, _live.1.0, _live.2.0, _live.3.0, 1
3, _live.0.0, 0, 0, 0, 1
3, _live.0.0, _live.1.0, _live.2.0, _live.3.0, 1
1, _any.0.0, _any.1.0, _any.2.0, _any.3.0, 0
2, _any.0.0, _any.1.0, _any.2.0, _any.3.0, 0
3, _any.0.0, _any.1.0, _any.2.0, _any.3.0, 0

Fast and Slow Life:

Code: Select all

x = 43, y = 103, rule = FastAndSlowLife
23.2A$23.A.A$11.A12.3A7.2A$8.4A3.2A8.3A6.2A$2A5.4A3.2A8.3A$2A5.A2.A3.
2A.A.2A2.A.A$7.4A4.A.A.2A2.2A$8.4A3.A.2A$11.A3$25.A$26.2A$25.2A6$32.A
.A$33.2A$33.A5$40.A$41.2A$40.2A51$37.3B$39.B$38.B5$30.2B$29.B.B$31.B
6$11.2B9.3B$11.B2.B9.B$3.5B7.B7.B5.B$2.B5.B6.B12.4B$2.B3.2B7.B11.2B.B
.B$3.B7.B2.B11.3B.B2.B2.2B$11.2B14.2B.B.B3.2B$28.4B$29.B!
@RULE FastAndSlowLife

@TREE

num_states=4
num_neighbors=8
num_nodes=58
1 0 0 0 2
2 0 0 0 0
1 0 1 1 2
2 0 2 0 0
1 0 3 3 2
2 0 0 4 0
3 1 3 5 1
1 1 1 1 2
2 2 7 7 2
1 3 3 3 2
2 0 7 9 0
3 3 8 10 3
2 4 9 9 4
3 5 10 12 5
4 6 11 13 6
2 7 0 0 7
3 8 15 15 8
2 9 0 0 9
3 10 15 17 10
4 11 16 18 11
3 12 17 17 12
4 13 18 20 13
5 14 19 21 14
3 15 1 1 15
4 16 23 23 16
3 17 1 1 17
4 18 23 25 18
5 19 24 26 19
4 20 25 25 20
5 21 26 28 21
6 22 27 29 22
3 1 1 1 1
4 23 31 31 23
5 24 32 32 24
4 25 31 31 25
5 26 32 34 26
6 27 33 35 27
5 28 34 34 28
6 29 35 37 29
7 30 36 38 30
4 31 31 31 31
5 32 40 40 32
6 33 41 41 33
5 34 40 40 34
6 35 41 43 35
7 36 42 44 36
6 37 43 43 37
7 38 44 46 38
8 39 45 47 39
5 40 40 40 40
6 41 49 49 41
7 42 50 50 42
6 43 49 49 43
7 44 50 52 44
8 45 51 53 45
7 46 52 52 46
8 47 53 55 47
9 48 54 56 48

@COLORS

0 48 48 48
1 255 0 0
2 0 255 255
3 0 255 255

Posted: **September 13th, 2025, 2:01 pm**

4c/9o partial from LSSS:

Code: Select all

x = 26, y = 42, rule = B3/S23
4bo16bo$3bob2ob2o6b2ob2obo$2b2obobobo6bobobob2o$3bobobo2bo4bo2bobobo$
4bobo12bobo$bo22bo$obobo4b2o4b2o4bobobo$o4bo3b2o4b2o3bo4bo$bo4bo3bo4bo
3bo4bo2$3bobob2o8b2obobo$4bob2o10b2obo$6bo2bo6bo2bo$4b2o2bo8bo2b2o$2b
2obo14bob2o$2b3o3bo8bo3b3o$7b2o8b2o$6bo2bo6bo2bo$2b2o5bo6bo5b2o$2b2obo
14bob2o$5bo3bo6bo3bo$5bob2obo4bob2obo$5bobo10bobo$5b3ob3o2b3ob3o$6bo3b
2o2b2o3bo$6bobo8bobo$6bob2o6b2obo$4b2o2b2ob4ob2o2b2o$3bo2b3o2b4o2b3o2b
o$11b4o$4b2ob2o3b2o3b2ob2o$4b2obob8obob2o$8b4o2b4o$5b2o12b2o$4bo16bo$
4bo7b2o7bo$b2obo3bo8bo3bob2o$b2ob2o2bobob2obobo2b2ob2o$bob2o2b2o2bo2bo
2b2o2b2obo$bo7bobo2bobo7bo$2ob2o2bo3bo2bo3bo2b2ob2o$bo4b3ob2o2b2ob3o4b
o!

Posted: **September 15th, 2025, 4:27 pm**

Really wispy (2,1)c/5 partial I am working on

Code: Select all

x = 26, y = 114, rule = B3/S235
13bobo$11b2obobo$11b3o$10bo4b3o$10b3o3b2o$11bo3b2o$10b3o2bobo$10bo2b3o
$11b2o3bo$10bo4bo$12b3o2b3o$11b2obo2b2obo$13b3obo3bo$14b2obo$13bo3bob
2o$14bo2bo2bo$14b3ob2o$15b2ob2o2bo$14b3o3b3o$14b4o3b2ob2o$16b2o4bob2o$
18b2o$17bob2ob2o$15bobobo2b2o$14bo4bo2b2o$14b2o6b2o$14bob2o$14b7o$14b
3o5bo$17b3obobo$14bo2b3o4b2o$15b2o8bo$14bo2bo$16b2o$8b2o4b3o$7b4ob2o2b
o$6b3o3b2o$5bo2bo4bo$5bo2bo$4bo$4b2obo$4bo2bob2o$3bo3bob2o$2bo2bo4bo3b
o$2b2ob3obo3b3o$5b2ob2o2b4o$2b3o4bob4o$2bo2bobo2bobo$3b2o3b2obo$2bo2b
4obobo$bobobo$4obo$o$b3o$2b3o$3b3o$b2obo2bo$4b3obo$bobo2bo2b2o$2b2o3bo
bo$3bobobo2bo$10b3o$5b2obo3b2o$8b2ob5o$9b4o2bo$13b4o$17bo$12bob3obo$
11b4o2b2o$10b2ob2obob3o$11bo2bo5bo$11bo5bo$12bob2o3bo$12bo4bo$9b3ob2ob
2o$8b2ob2ob2ob3o$8b2o2b4obo$10bob2o2b3o$13bo$12b4o$12bo$11bobobo$10b2o
2bob2o$16b2o$12b4ob4o$14b3o2bo$14b2o4b4o$16bo2b2o2b2o$13b2o6bobo$12bob
o$12b2o4b2o5bo$12bo4b2o2b2o2bo$12bo$11b6obo3bo$11bo2bobo4bo$10bo4b2o2b
2o$10bo3bo2bobobo$9bob3o$9bo2b2obo3bo$9b3ob3o3bo$9b2obo2bo3bo$9b3o6bob
2o$8b4ob2o5b2o$12b6o2bo$8bob3o4b2obo$8bo2b3obobo$10bob2o3b4o$11bo4b2ob
2o$8b2obo2bo$8bob3o2bobo3bo$7bo6b2o4b2o$8bobobob2o2bo$12bo2b2o2bo$7b4o
3bo3b4o!

Posted: **September 18th, 2025, 4:22 pm**

Soup that produces an xs22_69696969696 with a final population of 69:

Code: Select all

x = 16, y = 16, rule = B3aijn/S235678
5bobobobob2o$o2b2o2bob3ob2o$bo2b2ob2o3bo$obo2b4o4bo$2bobo2b3o2bo2bo$2o
bo2bob2o$5obobo3bo2bo$2ob2o3bo3bo2bo$o4bobo2b2o2b2o$2o2b4o3bo2bo$ob2ob
ob2ob3ob2o$2bo2b6o2b3o$o3b2ob2obo2b2o$obobo3bo2bobo$4o2bo2bob2ob2o$3ob
4o3b2o2bo!

Posted: **December 15th, 2025, 10:47 pm**

Two rules that I will mess around with for a bit.

Demo pattern:

Code: Select all

x = 55, y = 65, rule = Partycle
46.G$47.G$47.G$47.G$47.G4.2G$47.G3.G$42.DA3.G5$44.G9.G$45.2G7.G$53.G
5$12.DA3$12.EB3$12.FC13$DA3$4.A$4.D7$11.EB3$15.B$15.E8$24.FC3$28.C$
28.F!
@RULE Partycle

@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 127 0 0
5 0 127 0
6 0 0 127
7 255 255 255

@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4

var A = {0, 1, 2, 3, 4, 5, 6, 7}
var B = A
var C = A
var D = A
var E = A
var F = A
var G = A
var H = A

var a = {0, 7}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a


0, 1, a, b, c, d, e, f, g, 1
0, 2, a, b, c, d, e, f, g, 2
0, 3, a, b, c, d, e, f, g, 3
1, A, B, C, D, D, C, B, A, 2
2, A, B, C, D, D, C, B, A, 3
3, A, B, C, D, D, C, B, A, 1
1, A, B, C, D, E, F, G, H, 4
2, A, B, C, D, E, F, G, H, 5
3, A, B, C, D, E, F, G, H, 6
4, A, B, a, b, A, c, d, e, 1
5, A, B, a, b, A, c, d, e, 2
6, A, B, a, b, A, c, d, e, 3
4, A, B, C, D, E, F, G, H, 0
5, A, B, C, D, E, F, G, H, 0
6, A, B, C, D, E, F, G, H, 0
7, A, B, C, D, E, F, G, H, 7

Posted: **December 15th, 2025, 11:11 pm**

Seems like Klein bottles and such make explosions in certain configurations.

Code: Select all

x = 2, y = 2, rule = Partycle:K64,64*
$.A!
@RULE Partycle

@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 127 0 0
5 0 127 0
6 0 0 127
7 255 255 255

@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4

var A = {0, 1, 2, 3, 4, 5, 6, 7}
var B = A
var C = A
var D = A
var E = A
var F = A
var G = A
var H = A

var a = {0, 7}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a


0, 1, a, b, c, d, e, f, g, 1
0, 2, a, b, c, d, e, f, g, 2
0, 3, a, b, c, d, e, f, g, 3
1, A, B, C, D, D, C, B, A, 2
2, A, B, C, D, D, C, B, A, 3
3, A, B, C, D, D, C, B, A, 1
1, A, B, C, D, E, F, G, H, 4
2, A, B, C, D, E, F, G, H, 5
3, A, B, C, D, E, F, G, H, 6
4, A, B, a, b, A, c, d, e, 1
5, A, B, a, b, A, c, d, e, 2
6, A, B, a, b, A, c, d, e, 3
4, A, B, C, D, E, F, G, H, 0
5, A, B, C, D, E, F, G, H, 0
6, A, B, C, D, E, F, G, H, 0
7, A, B, C, D, E, F, G, H, 7

Sometimes, spheres can make these periodic patterns. Most of the other configurations however are explosive. I wonder what a map of the periods (with patterns that are too unstable omitted) would look like.

Code: Select all

x = 63, y = 63, rule = Partycle:S63
18$8.A!
@RULE Partycle

@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 127 0 0
5 0 127 0
6 0 0 127
7 255 255 255

@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4

var A = {0, 1, 2, 3, 4, 5, 6, 7}
var B = A
var C = A
var D = A
var E = A
var F = A
var G = A
var H = A

var a = {0, 7}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a


0, 1, a, b, c, d, e, f, g, 1
0, 2, a, b, c, d, e, f, g, 2
0, 3, a, b, c, d, e, f, g, 3
1, A, B, C, D, D, C, B, A, 2
2, A, B, C, D, D, C, B, A, 3
3, A, B, C, D, D, C, B, A, 1
1, A, B, C, D, E, F, G, H, 4
2, A, B, C, D, E, F, G, H, 5
3, A, B, C, D, E, F, G, H, 6
4, A, B, a, b, A, c, d, e, 1
5, A, B, a, b, A, c, d, e, 2
6, A, B, a, b, A, c, d, e, 3
4, A, B, C, D, E, F, G, H, 0
5, A, B, C, D, E, F, G, H, 0
6, A, B, C, D, E, F, G, H, 0
7, A, B, C, D, E, F, G, H, 7

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Sylvani's Discoveries and Projects

Sylvani's Discoveries and Projects

Re: Sylvani's Discoveries and Projects

Re: Sylvani's Discoveries and Projects

Re: Sylvani's Discoveries and Projects

Re: Sylvani's Discoveries and Projects

Re: Sylvani's Discoveries and Projects