For discussion of other cellular automata.
Dr. Monstaa
Posts: 70
Joined: December 5th, 2011, 3:46 pm

Just thought I'd start a thread so that people can put they're new interesting CA rules in one place. Enjoy!

Here's mine: New Maze-like rule: B2/S0123
Christmas Life: B1/S012345678

Try it!
Last edited by Dr. Monstaa on December 24th, 2011, 10:00 am, edited 3 times in total.
I'm science-ing as fast as I can!- Professor Farnsworth

Wojowu
Posts: 210
Joined: October 1st, 2011, 1:24 pm

Stable p3 oscillator

Code: Select all

``````x = 19, y = 19, rule = B2/S0123
7bo3bo\$3bo11bo\$6b7o\$bob2obo5bob2obo\$3bo2bobobobo2bo\$6bobobobo\$2b5obobo
b5o\$obo13bobo\$2bob3o5b3obo\$2bo13bo\$2bob3o5b3obo\$obo13bobo\$2b5obobob5o\$
6bobobobo\$3bo2bobobobo2bo\$bob2obo5bob2obo\$6b7o\$3bo11bo\$7bo3bo
``````
p2

Code: Select all

``````x = 14, y = 14, rule = B2/S0123
3bo6bo2\$2b10o\$obo8bobo\$2bobo2b3obo\$2bob4obobo\$2bo5b2obo\$2bob3obo2bo\$2b
o3bobo2bo\$2bobobob2obo\$obo8bobo\$2b10o2\$3bo6bo!
``````
p5

Code: Select all

``````x = 18, y = 18, rule = B2/S0123
3bo3bo\$14bo\$2b7o\$obo5b8o\$2bob3o\$2bobo2b9obo\$2bobo10bo\$obo2bo3b3obo\$2b
2obo5bobo\$3bobobobobobobo\$3bobobo3bobo\$3bobob4o\$3bobo6bo\$3bobob4o\$bobo
bo\$3bob2o2bo2\$5bo!``````
p4

Code: Select all

``````x = 21, y = 14, rule = B2/S0123
11bo\$9bobobo2bo\$7bobobobob2obo\$5bobobobobo\$7bobobo3b5o\$9bobo\$2bo11bob
5o\$obobo3b3o3bo\$2bobobobo2b2o3b4o\$2bobobobo4b2o\$obobo3b3o5bobo\$2bo11b
3o\$9bo\$15bo!``````
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?

Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

Found a p3,

Code: Select all

``````x = 26, y = 19, rule = B2/S0123
2bo20bo2\$ob22obo\$2bo20bo\$2bobob6obobob5obo\$2bob2o5bobobo5bobo\$2bo4b3ob
obo2b4obobo\$2bobobo3bobobo6bobo\$2bobobob2ob2ob6obobo\$2bobobob4obo7bobo
\$2bobobob2ob2o2b2obobo2bo\$2bobobobobobobobobobo2bo\$2bobobobobobobobobo
bo2bo\$2bobo5bobobobobobo2bo\$2bobob5obobobobob2obo\$2bo20bo\$ob22obo2\$2bo
20bo!
``````
a p4,

Code: Select all

``````x = 16, y = 17, rule = B2/S0123
2bo10bo2\$ob12obo\$2bo10bo\$2bobo3bob2obo\$2bobobobob2obo\$2bobobo6bo\$2bobo
2b5obo\$2bo4bo5bo\$2bob7o2bo\$2bo4bo5bo\$2bob2o3b3obo\$2bobob3obo2bo\$2bo10b
o\$ob12obo2\$2bo10bo!
``````
and a p8.

Code: Select all

``````x = 23, y = 23, rule = B2/S0123
2bo17bo2\$ob19obo\$2bo17bo\$2bob7ob2obob2obo\$2bobo6bobobo2bobo\$2bobo2bobo
bobo2bobobo\$2bobob2obobo2bobobobo\$2bobo6b2obobo3bo\$2bobob2o6bob3obo\$2b
obo6b2o7bo\$2bo2b4obo3b5obo\$2bobo3bobo9bo\$2bob3o7b5obo\$2bo4b3obobo6bo\$
2bob2o5bobob4obo\$2bo3b4obobobo4bo\$2bobo4bobobobob2obo\$2bob4obobobobobo
2bo\$2bo17bo\$ob19obo2\$2bo17bo!
``````

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

p7 and p8:

Code: Select all

``````x = 42, y = 16, rule = B2/S0123
9bo19bo8bo\$8b3o\$28b12o\$7b5o14bobo10bobo\$5bobo2bo17bob3obob2obo\$4b2obo
20bo5bobo2bo\$9b3o16bobobo3bo2bo\$3b3o22bobo4bobobo\$bobo5b3obo14bobo4bob
obo\$2obo2bobo4b2o13bobo4bobobo\$bob2obobo2bobo14bo4bobobobo\$3bo2bobob2o
16bob2obobobobo\$26bobo10bobo\$8b3o17b12o\$9bo\$29bo8bo!
``````

Tropylium
Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

This is one of those rules that is basically useless for engineering (not that that seems to stop you people ) but which has a few interesting growth properties.

Take a minimal asymmetric seed for example:

Code: Select all

``````x = 2, y = 3, rule = B2/S0123
bo\$bo\$o!``````
Most areas of regular growth are sectors of about 20° next to the main axes, but the E-by-SE area seems to grow faster for some reason, at a width of about 30°…

A prepond shape

Code: Select all

``````x = 3, y = 3, rule = B2/S0123
o\$b2o\$bo!``````
shows an actual quadratic growth area, emerging in the NW quadrant at about 3.0 kgens in and closing in on the chaos around the side's centerpoint after 5.6 kgens.

---

My favorite stable exploding rule has to be B23/S2346 tho… it has a wide variety of natural quadratic growth patterns, several ways for these to interact, while still having a good amount of unpredictability going too. For example:

Code: Select all

``````x = 4, y = 3, rule = B23/S2346
b2o\$2bo\$2obo!``````
Watch eg. the NW quadrant around 4 kgens: there's a strange series of "internal tagalongs" emerging that interrupt the row of diagonal growth patterns, yet the general regular diagonal growth remains unperturbed.

Extrementhusiast
Posts: 1797
Joined: June 16th, 2009, 11:24 pm
Location: USA

This variant of my Conway Stones rule has the fact that a pi heptomino produces a nice little puffer. Here is the rule:

Code: Select all

``````n_states:3
neighborhood:Moore
symmetries:permute

var a={1,2}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={a}
var i={0,1,2}
var j={i}
var k={i}
var L={i}
var m={i}
var n={i}
var p={i}
var q={i}
var r={0,2}
var s={r}
var t={r}
var v={r}
var w={r}
var x={r}
var y={r}
var z={r}

# Birth
0,1,1,1,v,w,x,y,z,1

# Change
1,a,b,c,d,e,f,g,h,2
0,a,b,c,d,e,n,p,2,2
2,2,i,j,k,L,m,n,p,0

# Death
1,0,0,0,0,0,0,0,0,0
1,a,0,0,0,0,0,0,0,0
# 1,a,2,0,0,0,0,0,0,0
# 1,a,b,2,0,0,0,0,0,0
1,a,b,c,d,0,0,0,0,0
1,a,b,c,d,e,0,0,0,0
1,a,b,c,d,e,f,0,0,0
1,a,b,c,d,e,f,g,0,0
1,a,b,c,d,e,f,g,h,0``````
I Like My Heisenburps! (and others)

edwardfanboy
Posts: 80
Joined: September 16th, 2011, 10:29 pm

Funky Factory Rules:
State 0: Change state to state of cell above
State 1+:Change state to state of cell at some position around it (exact position depends on state)
Last state: Blocker (does nothing)
Example Rule:

Code: Select all

``````n_states:8
neighborhood:Moore
symmetries:none
var a={0, 1, 2, 3, 4, 5, 6}
var ab={a}
var ac={a}
var ae={a}
var af={a}
var ag={a}
var ah={a}
var e={1, 2, 3, 4, 5, 6}
Creates:

Code: Select all

``````x = 440, y = 361, rule = funkyfactory
120.D\$119.B2E\$118.D.F\$117.4BE\$118.F\$117.4BE\$109.ECE2D\$108.CBC2B2E3.3B
E\$107.BCB2D.FA\$31.E74.CBC5BE2.4BE\$30.2DF72.BCB2D.F3A\$29.3B2E70.CBC7BE
3.3BE\$29.D5F68.BCB2D.F5A\$30.4B2E67.BC9BE2.4BE\$29.D7F66.B2D.F7A\$32.4B
2E65.11BE3.3BE\$29.D9F64.D.F9A\$34.4B2E63.11BE2.4BE\$29.D11F63.11A105.CE
CE\$36.4B2E62.10BE3.3BE97.ECED.F\$29.D13F60.12A103.CBCB3E59.D\$38.4BE60.
11BE2.4BE95.BCBD.F60.3E\$29.D12F62.11A101.CBC4B2E56.E5D\$40.2BE17.E43.
10BE3.3BE93.BCBD.F59.CB6E\$29.D11F18.3D41.12A99.CBC6B2E55.A5D3F\$41.BE
16.2B.E40.11BE2.4BE92.CBD.F61.C2AB6E\$29.D11F18.2D3F40.11A99.C8B2E55.A
3D7F\$41.BE16.A.2B.E39.10BE3.3BE92.D.F63.C4AB6E\$29.D11F18.2D5F37.12A
99.9B2E55.A3D9F\$41.BE16.3A.2B.E23.E12.11BE2.4BE92.F65.C6AB6E\$29.D11F
18.2D7F21.3D12.11A99.9B2E55.A3D11F\$41.BE16.5A.2B21.B4E11.4BD5BE3.3BE
158.C8AB6E\$29.D11F18.2D7F19.7D9.4AB.E5A100.8B2E55.A3D12F\$41.BE16.7A
20.5B4E8.3B4DF3BE2.4BE158.C10AB4E\$29.D11F18.2D6F18.8DF10.A3B.B.E3A99.
9B2E55.A3D12F\$41.BE16.9A16.9B2E9.2B2D5FBF3.3BE158.C12AB2E129.ECECECEC
ED\$29.D11F18.2D7F15.8DF16.2B.B.E101.8B2E55.A3D12F128.CECECECECE.E\$41.
BE16.8A16.10B2E8.B4D7F2.4BE136.EDE19.C14AB127.BCBCBCBCB5D\$29.D11F18.
2D6F16.6DF20.2B.B.E98.9B2E32.DEDED18.A3D12F10.ED115.C.C.C.C.C.B.E.E\$
41.BE16.9A14.11B2E9.2B2D9F.3BE134.BDBDEDE17.C14AE6.ECEC3E115.C.C.C.C.
6DF\$29.D11F18.2D7F14.5DF15.5A4.2B.B.E97.8B2E30.DBDBDEDED16.A3D11F6.CE
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15.C15A4.BCBCB6E113.C.C.C.C.4D3F\$29.D11F18.2D6F14.4DF18.6A4.2B98.9B2E
28.DBDBDBDBDEFEF14.A3D12F4.BCB6D3F111.C.C.C.C.C5.B\$41.BE16.9A12.13B2E
9.2B2D8F5BE130.BDBDBDBCBCBCECE13.C14AE4.BC5B6E111.C.C.C.C.4D3F\$29.D
11F18.2D7F11.4DF19.9A4.2B97.8B2E26.DBDBDBDBDBFBFEFEF12.A3D11F5.C6D7F
109.C.C.C.C.C\$41.BE16.8A11.15B2E8.B4D10F3BE128.BDBDBDBCBCBCBCBCECE11.
C15A5.B.6B6E109.C.C.C.C.4D2F\$29.D11F18.2D6F10.4DF22.10A100.9B2E24.DBD
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9.2B2D8F5BE127.DBDBDBCBCBCBCBCBCB2E11.CE13AE4.D4.6B6E107.C.C.C.C.4D3F
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.C\$9.C4B2E25.BE16.9A4.21B2E9.2B2D8F5BE126.BDBCBCBCBCBCBC5B2E4.4BE2.3B
4E8AE4.D8.6B3E106.C.C.C.C.4D3F\$8.BD.F17.D11F18.2D7F3.4DF27.15A97.8B2E
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2DC3D40F6D23F2BEFEFEFE9.B.B.B56.6F2.6FC19.B3.B3.B3.B5D39F20.29F7B10E
3B5.2BE2B8E\$.13B3E6.47A25.2D2.2D2.2D2.CD.D96.BD67F16B2E2.B3.B3.B46.E
18B31E20.B.BDF\$5.2F10.2B4E46BA4D19FDF3D.3D.3D2.CDC2D45FD17F8B2EFEFEF
8.B.B.B.B13.C43F2.6F2.3F21.B3.B3.B7D38F20.30F7B4E8B6.2BE2B7EB\$7.7B3E
7.47D22.D2.2D.3D.3D3.D96.B.D10F2C55F16B2EB3.B3.B3.B45.18BE29B22.B2DF\$
17.2B5E46BA3D19F2DF3DB3DB3DBDC3D40F6D23F2BEFEFEFE9.B.B.B14.3C45F2.6F
20.B3.B3.B3.B5D39F20.28F8B10E3B5.2BE2B8E\$.13B3E6.47A24.D.3D.3D.3D.D.D
96.BD10F4C53F16B2E2.B3.B3.B46.E18BE50.B.BDF\$5.2F10.2B4E46BA4D20F2DC3D
C3DC3DCDC2D45FD17F8B2EFEFEF8.B.B.B.B13.5C47F2.3F21.B3.B3.B7D38F20.37B
4E8B6.2BE2B7EB\$7.7B3E7.47D22.F2D.C2D.C2D.C2D.D96.B.D10F6C51F16B2EB3.B
3.B3.B45.18BE30B21.B2DF\$17.2B5E46BA3D19F2.2D.C2D.C2D.C2DC3D40F6D23F2B
EFEFEFE9.B.B.B64.6F20.B3.B3.B3.B5D39F20.29F7B10E3B5.2BE2B8E\$.13B3E6.
47A25.2D2.2D2.2D2.CD.D96.BD67F16B2E2.B3.B3.B46.E18B31E20.B.BDF\$5.2F
10.2B4E46BA4D19FDF3D.3D.3D2.CDC2D45FD17F8B2EFEFEF8.B.B.B.B13.C51F2.3F
21.B3.B3.B7D38F20.30F7B4E8B6.2BE2B7EB\$7.7B3E7.47D22.D2.2D.3D.3D3.D96.
B.D10F2C55F16B2EB3.B3.B3.B45.18BE29B22.B2DF\$17.2B5E46BA3D19F2DF3DB3DB
3DBDC3D40F6D23F2BEFEFEFE9.B.B.B14.3C53F20.B3.B3.B3.B5D39F20.28F8B10E
3B5.2BE2B8E\$.13B3E6.47A24.D.3D.3D.3D.D.D96.BD10F4C53F16B2E2.B3.B3.B
46.E18BE50.B.BDF\$5.2F10.2B4E46BA4D20F2DC3DC3DC3DCDC2D45FD17F8B2EFEFEF
8.B.B.B.B13.5C52F21.B3.B3.B7D38F20.37B4E8B6.2BE2B7EB\$7.7B3E7.47D22.F
2D.C2D.C2D.C2D.D96.B.D10F6C51F16B2EB3.B3.B3.B45.18BE30B21.B2DF\$17.2B
5E46BA3D19F2.2D.C2D.C2D.C2DC3D40F6D23F2BEFEFEFE9.B.B.B90.B3.B3.B3.B5D
39F20.29F7B10E3B5.2BE2B8E\$.13B3E6.47A25.2D2.2D2.2D2.CD.D96.BD67F16B2E
2.B3.B3.B46.E18B31E20.B.BDF\$5.2F10.2B4E46BA4D19FDF3D.3D.3D2.CDC2D45FD
17F8B2EFEFEF8.B.B.B.B13.C56F21.B3.B3.B7D38F20.30F7B4E8B6.2BE2B7EB\$7.
7B3E7.47D22.D2.2D.3D.3D3.D96.B.D10F2C55F16B2EB3.B3.B3.B45.18BE29B22.B
2DF\$17.2B5E46BA3D19F2DF3DB3DB3DBDC3D40F6D23F2BEFEFEFE9.B.B.B14.3C54F
19.B3.B3.B3.B5D39F20.28F8B10E3B5.2BE2B8E\$.13B3E6.47A24.D.3D.3D.3D.D.D
96.BD10F4C53F16B2E2.B3.B3.B46.E18BE50.B.BDF\$5.2F10.2B4E46BA4D20F2DC3D
C3DC3DCDC2D45FD17F8B2EFEFEF8.B.B.B.B13.5C52F21.B3.B3.B7D38F20.37B4E8B
6.2BE2B7EB\$7.7B3E7.47D22.F2D.C2D.C2D.C2D.D96.B.D10F6C51F16B2EB3.B3.B
3.B45.18BE30B21.B2DF\$17.2B5E46BA3D19F2.2D.C2D.C2D.C2DC3D40F6D23F2BEFE
FEFE9.B.B.B90.B3.B3.B3.B5D39F20.29F7B10E3B5.2BE2B8E\$.13B3E6.47A25.2D
2.2D2.2D2.CD.D96.BD67F16B2E2.B3.B3.B46.E18B31E20.B.BDF\$5.2F10.2B4E46B
A4D19F.F3D.3D.3D2.CDC2D45FD17F8B2EFEFEF8.B.B.B.B13.C56F21.B3.B3.B7D
38F20.30F7B4E8B6.2BE2B7EB\$7.7B3E7.47D25.2D.3D.3D3.D96.B.D10F2C55F16B
2EB3.B3.B3.B45.18BE29B22.B2DF\$17.2B5E46BA3D19FD.F3DB3DB3DBDC3D40F6D
23F2BEFEFEFE9.B.B.B14.3C54F19.B3.B3.B3.B5D39F20.28F8B10E3B5.2BE2B8E\$.
13B3E6.47A26.3D.3D.3D.D.D96.BD10F4C53F16B2E2.B3.B3.B46.E18BE50.B.BDF\$
5.2F10.2B4E46BA4D20F2.C3DC3DC3DCDC2D45FD17F8B2EFEFEF8.B.B.B.B13.5C52F
21.B3.B3.B7D38F20.37B4E8B6.2BE2B7EB\$7.7B3E7.47D22.FD2.C2D.C2D.C2D.D
96.B.D10F6C51F16B2EB3.B3.B3.B45.18BE30B21.B2DF\$17.2B5E46BA3D19F5.C2D.
C2D.C2DC3D40F6D23F2BEFEFEFE9.B.B.B90.B3.B3.B3.B5D39F20.29F7B10E3B5.2B
E2B8E\$.13B3E6.47A29.2D2.2D2.CD.D96.BD67F16B2E2.B3.B3.B46.E18B31E20.B.
BDF\$5.2F10.2B4E46BA4D19F.FD3.2D2.3D2.CDC2D45FD17F8B2EFEFEF8.B.B.B.B
13.C56F21.B3.B3.B7D38F20.30F7B4E8B6.2BE2B7EB\$7.7B3E7.47D28.2D2.3D3.D
96.B.D10F2C55F16B2EB3.B3.B3.B45.18BE29B22.B2DF\$17.2B5E46BA3D19FD.F3.B
D2.B3DBDC3D40F6D23F2BEFEFEFE9.B.B.B14.3C54F19.B3.B3.B3.B5D39F20.28F8B
10E3B5.2BE2B8E\$.13B3E6.47A30.D3.3D.D.D96.BD10F4C53F16B2E2.B3.B3.B46.E
18BE50.B.BDF\$5.2F10.2B4E46BA4D20F2.C3.C3.C3DCDC2D45FD17F8B2EFEFEF8.B.
B.B.B13.5C52F21.B3.B3.B7D38F20.37B4E8B6.2BE2B7EB\$7.7B3E7.47D22.FD2.C
3.C3.C2D.D96.B.D10F6C51F16B2EB3.B3.B3.B45.18BE30B21.B2DF\$17.2B5E46BA
3D19F5.C3.C3.C2DC3D40F6D23F2BEFEFEFE9.B.B.B90.B3.B3.B3.B5D39F20.29F7B
10E3B5.2BE2B8E\$.13B3E6.47A37.CD.D96.BD67F16B2E2.B3.B3.B46.E18B31E20.B
.BDF\$5.2F10.2B4E46BA4D19F.FD12.C.C2D45FD17F8B2EFEFEF8.B.B.B.B13.C56F
21.B3.B3.B7D38F20.30F7B4E8B6.2BE2B7EB\$7.7B3E7.47D135.B.D10F2C55F16B2E
B3.B3.B3.B45.18BE29B22.B2DF2\$440G!``````

Dr. Monstaa
Posts: 70
Joined: December 5th, 2011, 3:46 pm

Wow, impressive!

Would like to see more of this!
I'm science-ing as fast as I can!- Professor Farnsworth

Dr. Monstaa
Posts: 70
Joined: December 5th, 2011, 3:46 pm

A rule I call Fuzz

A Persian rug styled rule that does have some still lifes from inside the growth, which is often sprawled and random but uniform patterns have uniform growth

B1/S014567

Similar rules of interest

B12/S014567
B1/S01567
B12/S01567
B2/S014567
I'm science-ing as fast as I can!- Professor Farnsworth

RKTES
Posts: 10
Joined: July 8th, 2013, 6:55 pm

B3/S1258 is very chaotic and Life-like.
B3578/S24678 or Geology is a very well-balanced and chaotic rule that forms large "continents" at a roughly 50% density, but they eventually erode away into smaller "islands".

Pteriforever
Posts: 37
Joined: April 10th, 2013, 9:43 pm

Wow, I've got HEAPS of rules I want to post but don't think are worthy of their own thread.

1. This rule is the MilhinSA-meets-Generations treatment applied to B35/S1347. It, rather oddly, has both c/3 and 2c/7 diagonal spaceships:

Code: Select all

``````n_states:6
neighborhood:Moore
symmetries:permute
var a={1,3}
var b={1,3}
var c={1,3}
var d={1,3}
var e={1,3}
var f={1,3}
var g={1,3}
var h={1,3}
var j={0,2,4,5}
var k={0,2,4,5}
var l={0,2,4,5}
var m={0,2,4,5}
var n={0,2,4,5}
var o={0,2,4,5}
var p={0,2,4,5}
var q={0,2,4,5}
var s={0,1,2,3,4,5}
var t={0,1,2,3,4,5}
var u={0,1,2,3,4,5}
var v={0,1,2,3,4,5}
var w={0,1,2,3,4,5}
var x={0,1,2,3,4,5}
var y={0,1,2,3,4,5}
var z={0,1,2,3,4,5}
0,a,b,c,d,e,j,k,l,3
0,a,b,c,j,k,l,m,n,3
1,a,b,c,d,e,f,g,q,1
1,a,b,c,d,n,o,p,q,1
1,a,b,c,m,n,o,p,q,1
1,a,k,l,m,n,o,p,q,1
3,s,t,u,v,w,x,y,z,1
1,s,t,u,v,w,x,y,z,2
2,s,t,u,v,w,x,y,z,4
4,s,t,u,v,w,x,y,z,5
5,s,t,u,v,w,x,y,z,0
``````
2. This is of the birth-then-survival subset of alternating rules: Basically, B2/TS247. It's got three spaceship speeds so I suppose it counts as interesting:

Code: Select all

``````n_states:3
neighborhood:Moore
symmetries:permute
var a={1,2}
var b={1,2}
var c={1,2}
var d={1,2}
var e={1,2}
var f={1,2}
var g={1,2}
var h={1,2}
var s={0,1,2}
var t={0,1,2}
var u={0,1,2}
var v={0,1,2}
var w={0,1,2}
var x={0,1,2}
var y={0,1,2}
var z={0,1,2}

0,1,1,0,0,0,0,0,0,2
2,2,2,0,0,0,0,0,0,1
2,2,2,2,2,0,0,0,0,1
2,2,2,2,2,2,2,2,0,1
1,s,t,u,v,w,x,y,z,2
2,s,t,u,v,w,x,y,z,0
``````
3. 2-state rule, has cutesy spinning oscillators and a c/5 spaceship:

Code: Select all

``````n_states:2
neighborhood:Moore
symmetries:rotate8

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}

1,1,0,0,0,0,0,0,0,1

0,1,0,1,0,0,0,0,0,1
0,1,0,0,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1

1,s,t,u,v,w,x,y,z,0
``````
4. A small variation on standard Life, where a cell can be born on B2 if the two parents are directly opposite each other, and conversely, can die even with S2 if the two neighbours are, again, directly opposite. It has lots of pretty oscillators and the t-tetromino is a c/5 spaceship.

Code: Select all

``````n_states:2
neighborhood:Moore
symmetries:rotate8

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}

1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1

1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1

0,1,0,0,0,1,0,0,0,1
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1

1,s,t,u,v,w,x,y,z,0
``````
5. This is a 7-state rule designed to contain a tiny (2,1)c/3 knightship. It tends to be dominated by crazy amounts of two different kinds of replicators as well as 2c/3 orthogonal spaceships. Some really interetsing guns are possible, I might post some of those later:

Code: Select all

``````n_states:7
neighborhood:Moore
symmetries:permute

var a={0,6}
var b={0,6}
var c={0,6}
var d={0,6}
var e={0,6}
var f={0,6}
var g={2,4}
var h={2,4}
var i={2,4}

var j={3,5,6}
var k={3,5,6}
var l={3,5,6}
var m={3,5,6}
var n={3,5,6}
var o={3,5,6}
var p={3,5,6}
var q={3,5,6}

var s={0,1,2,3,4,5,6}
var t={0,1,2,3,4,5,6}
var u={0,1,2,3,4,5,6}
var v={0,1,2,3,4,5,6}
var w={0,1,2,3,4,5,6}
var x={0,1,2,3,4,5,6}
var y={0,1,2,3,4,5,6}
var z={0,1,2,3,4,5,6}

0,1,1,0,0,0,0,0,0,4
0,g,h,i,0,0,0,0,0,5

0,6,5,a,b,c,d,e,f,1
0,j,k,l,m,0,0,0,0,1

1,s,t,u,v,w,x,y,z,2
2,s,t,u,v,w,x,y,z,3
3,s,t,u,v,w,x,y,z,0
4,s,t,u,v,w,x,y,z,6
5,s,t,u,v,w,x,y,z,0
6,s,t,u,v,w,x,y,z,0
``````
6. I don't know what this is, i just found it in my rules folder.

Code: Select all

``````n_states:4
neighborhood:Moore
symmetries:permute

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}
var a={1,0}
var b={1,0}
var c={1,0}

1,1,c,a,b,0,0,0,0,2
0,1,1,1,0,0,0,0,0,3
3,s,t,u,v,w,x,y,z,1
0,2,2,3,0,0,0,0,0,1
2,2,2,3,0,0,0,0,0,1
2,s,t,u,v,w,x,y,z,0
1,s,t,u,v,w,x,y,z,0
``````
7. One challenge attempt. Nothing exists besides 2c/7 diagonal spaceships and replicators.

Code: Select all

``````n_states:8
neighborhood:Moore
symmetries:permute
var a={1,2,3,4,5,6,7}
var b={1,2,3,4,5,6,7}
var c={1,2,3,4,5,6,7}
var d={1,2,3,4,5,6,7}
var e={1,2,3,4,5,6,7}
var f={1,2,3,4,5,6,7}
var g={1,2,3,4,5,6,7}
var h={1,2,3,4,5,6,7}
var s={0,1,2,3,4,5,6,7}
var t={0,1,2,3,4,5,6,7}
var u={0,1,2,3,4,5,6,7}
var v={0,1,2,3,4,5,6,7}
var w={0,1,2,3,4,5,6,7}
var x={0,1,2,3,4,5,6,7}
var y={0,1,2,3,4,5,6,7}
var z={0,1,2,3,4,5,6,7}
0,1,0,0,0,0,0,0,0,2
0,1,1,1,0,0,0,0,0,2
0,1,1,1,1,0,0,0,0,2
1,1,1,0,0,0,0,0,0,2
0,2,2,2,0,0,0,0,0,3
0,2,2,2,2,2,0,0,0,3
0,2,2,2,2,2,2,2,2,3
2,2,0,0,0,0,0,0,0,3
0,3,3,0,0,0,0,0,0,4
0,4,4,0,0,0,0,0,0,5
0,4,4,4,4,0,0,0,0,5
0,4,4,4,4,4,0,0,0,5
0,4,4,4,4,4,4,4,0,5
5,5,5,0,0,0,0,0,0,6
5,5,5,5,0,0,0,0,0,6
0,5,5,5,5,5,5,5,5,6
0,5,5,5,5,5,5,5,0,6
0,5,5,5,5,5,5,0,0,6
6,6,6,0,0,0,0,0,0,7
6,6,6,6,0,0,0,0,0,7
0,6,6,6,6,6,0,0,0,7
7,7,7,0,0,0,0,0,0,1
7,7,7,7,0,0,0,0,0,1
0,7,7,7,7,0,0,0,0,1

1,s,t,u,v,w,x,y,z,0
2,s,t,u,v,w,x,y,z,0
3,s,t,u,v,w,x,y,z,0
4,s,t,u,v,w,x,y,z,0
5,s,t,u,v,w,x,y,z,0
6,s,t,u,v,w,x,y,z,0
7,s,t,u,v,w,x,y,z,0
``````
8.
An earlier attempt at the same challenge. Explosive as hell but has some rakes and things.

Code: Select all

``````n_states:5
neighborhood:Moore
symmetries:permute
var a={1,2,3,4}
var b={1,2,3,4}
var c={1,2,3,4}
var d={1,2,3,4}
var e={1,2,3,4}
var f={1,2,3,4}
var g={1,2,3,4}
var h={1,2,3,4}
var s={0,1,2,3,4}
var t={0,1,2,3,4}
var u={0,1,2,3,4}
var v={0,1,2,3,4}
var w={0,1,2,3,4}
var x={0,1,2,3,4}
var y={0,1,2,3,4}
var z={0,1,2,3,4}
0,1,0,0,0,0,0,0,0,2
0,1,1,0,0,0,0,0,0,2
0,1,1,1,1,1,1,1,1,2
0,2,2,0,0,0,0,0,0,3
0,2,2,2,2,2,2,2,0,3
0,3,3,3,0,0,0,0,0,4
0,3,3,3,3,0,0,0,0,4
0,3,3,3,3,3,0,0,0,4
0,4,4,0,0,0,0,0,0,1
0,4,4,4,0,0,0,0,0,1
0,4,4,4,4,4,4,0,0,1

1,s,t,u,v,w,x,y,z,0
2,s,t,u,v,w,x,y,z,0
3,s,t,u,v,w,x,y,z,0
4,s,t,u,v,w,x,y,z,0
``````

bprentice
Posts: 626
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Pteriforever wrote:5. This is a 7-state rule designed to contain a tiny (2,1)c/3 knightship. It tends to be dominated by crazy amounts of two different kinds of replicators as well as 2c/3 orthogonal spaceships. Some really interetsing guns are possible, I might post some of those later:
This is a very good rule! If you don't consider it proprietary, could you tell us how you designed it. I look forward to seeing your collection of guns.

Brian Prentice

Pteriforever
Posts: 37
Joined: April 10th, 2013, 9:43 pm

Sure. On second thought, I'm not sure why I didn't think it was good enough. Anyway, here you go:

Code: Select all

``````#CXRLE Pos=-26,-13
x = 61, y = 26, rule = silvertail3
34.A2\$34.A4\$37.A\$18.A17.A\$18.A17.A\$19.A4\$4.A3.A3.A3.A3.A3.A3.A3.A3.A
3.A3.A3.A3.A3.A2\$4.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A2\$A.A55.A.
A4\$A.A55.A.A2\$4.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A2\$4.A3.A3.A3.
A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A!
``````

Code: Select all

``````#CXRLE Pos=706,88
x = 739, y = 121, rule = silvertail3
48.A3.A3.A3.A3.A3.A3.A3.A2\$46.A5.A3.A3.A3.A3.A3.A5.A4\$46.A.A27.A.A2\$
50.A3.A3.A3.A3.A3.A3.A\$366.A3.A3.A3.A3.A3.A3.A3.A\$50.A3.A3.A3.A3.A3.A
3.A\$364.A5.A3.A3.A3.A3.A3.A5.A4\$364.A.A27.A.A2\$368.A3.A3.A3.A3.A3.A3.
A\$684.A3.A3.A3.A3.A3.A3.A3.A\$368.A3.A3.A3.A3.A3.A3.A\$682.A5.A3.A3.A3.
A3.A3.A5.A4\$2.A3.A675.A.A27.A.A2\$A5.A679.A3.A3.A3.A3.A3.A3.A2\$8.A.A
675.A3.A3.A3.A3.A3.A3.A2\$A.A2\$8.A.A683.A\$320.A3.A370.A\$A.A692.A\$318.A
5.A\$8.A.A\$326.A.A\$A.A\$318.A.A\$8.A.A\$326.A.A\$A.A635.A3.A\$15.2A301.A.A\$
8.A.A3.A621.A5.A\$326.A.A\$A.A93.A3.A543.A.A\$318.A.A\$8.A.A85.A5.A533.A.
A\$326.A.A\$A.A89.A.A549.A.A\$318.A.A\$8.A.A89.A.A230.2A301.A.A\$326.A.A3.
A\$A5.A85.A.A549.A.A\$318.A.A93.A3.A\$2.A3.A93.A.A533.A.A\$326.A.A85.A5.A
\$92.A.A549.A.A\$318.A.A89.A.A\$100.A.A533.A.A\$326.A.A89.A.A230.2A\$92.A.
A549.A.A3.A\$318.A5.A85.A.A\$100.A.A533.A.A93.A3.A\$320.A3.A93.A.A\$92.A.
A549.A.A85.A5.A\$406.A3.A.A\$100.A.A301.2A230.A.A89.A.A\$418.A.A\$92.A.A
549.A.A89.A.A\$410.A.A\$100.A.A533.A5.A85.A.A\$418.A.A\$92.A.A543.A3.A93.
A.A\$410.A.A\$96.A5.A621.A3.A.A\$418.A.A301.2A\$96.A3.A635.A.A\$410.A.A\$
728.A.A\$418.A.A\$736.A.A\$410.A.A\$728.A.A\$414.A5.A\$736.A.A\$414.A3.A\$
728.A.A2\$736.A.A2\$28.A3.A3.A3.A3.A3.A3.A675.A.A2\$28.A3.A3.A3.A3.A3.A
3.A679.A5.A2\$24.A.A27.A.A675.A3.A4\$24.A5.A3.A3.A3.A3.A3.A5.A\$346.A3.A
3.A3.A3.A3.A3.A\$26.A3.A3.A3.A3.A3.A3.A3.A\$346.A3.A3.A3.A3.A3.A3.A\$
679.A\$342.A.A27.A.A304.A\$680.A3\$342.A5.A3.A3.A3.A3.A3.A5.A\$664.A3.A3.
A3.A3.A3.A3.A\$344.A3.A3.A3.A3.A3.A3.A3.A\$664.A3.A3.A3.A3.A3.A3.A2\$
660.A.A27.A.A4\$660.A5.A3.A3.A3.A3.A3.A5.A2\$662.A3.A3.A3.A3.A3.A3.A3.A
!
``````

Code: Select all

``````#CXRLE Pos=38,36
x = 99, y = 76, rule = silvertail3
46.A2\$46.A2\$48.A.A2\$40.A.A2\$41.A.A4.A.A4\$48.A.A4\$42.A.A3.A.A4\$43.A.A
2.A.A4\$43.A.A2.A.A4\$43.A.A2.A.A4\$43.A.A2.A.A4\$43.A.A2.A.A4\$43.A.A2.A.
A4\$43.A.A2.A.A4\$43.A.A2.A.A4\$5.A3.A3.A29.A.A2.A.A34.A3.A3.A2\$5.A3.A3.
A71.A3.A3.A\$14.A.A65.A.A\$.A.A39.A.A2.A.A44.A.A3\$14.A.A65.A.A\$.A.A39.A
.A2.A.A44.A.A3\$14.A.A65.A.A\$A.A40.A.A2.A.A45.A.A3\$14.A.A65.A.A\$A.A40.
A.A2.A.A45.A.A3\$14.A.A65.A.A\$A.A93.A.A\$3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A
3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A2\$3.A3.A3.A3.A3.A3.A3.A3.A
3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A!
``````

hobbyprogrammer77
Posts: 25
Joined: June 12th, 2013, 10:47 am

A pattern collection for this rule:

Code: Select all

``````x = 2232, y = 1654, rule = silvertail3
1076.A.A4\$1076.A.A4\$1075.2A.2A3\$1074.A\$1078.3A\$1078.A3.A\$1079.A\$1083.
A3\$1080.A3.A\$1080.A\$1080.A3.A\$1122.A.A4\$1122.A.A\$1082.A\$1081.A2\$1092.
A28.2A.2A\$1092.A\$1091.A\$1120.A\$1092.A3.A27.3A\$1096.A3.A23.A3.A\$1125.A
\$1062.A33.A3.A28.A\$1062.A29.A3.A\$1063.A\$1126.A3.A\$1126.A\$1126.A3.A6\$
1128.A\$1127.A2\$1112.A25.A\$1138.A\$1109.A2.2A23.A\$1111.A\$1112.A25.A3.A\$
1109.A2.A29.A3.A2\$1108.A33.A3.A\$1108.A29.A3.A\$1109.A\$1046.A\$1046.A\$
1047.A6\$1093.A\$1092.A\$1092.A6\$1077.A\$1076.A\$1076.A3\$1092.A\$1092.A\$
1093.A\$1030.A30.A\$1030.A29.A\$1031.A28.A6\$1045.A\$1044.A\$1044.A6\$1029.A
\$1028.A\$1028.A3\$1076.A\$1076.A\$1077.A\$1013.A5.A\$1012.A\$1012.A\$1016.2A
2\$982.2A22.2A\$981.A23.A2\$997.A\$996.A\$996.A6\$981.A\$980.A\$980.A3\$1010.A
.A47.A\$1060.A\$1061.A2\$1010.A.A4\$1010.A.A4\$1010.A.A4\$1010.A.A4\$1010.A.
A4\$1010.A.A31.A\$1044.A\$1045.A2\$1010.A.A4\$1010.A.A4\$1009.2A.2A4\$1009.A
3.A8\$1028.A\$1028.A\$1029.A274\$442.A.A4\$442.A.A4\$383.A.A55.2A.2A3\$446.A
\$383.A.A55.2A2\$439.A2\$382.2A.2A54.A4.A\$442.2A2\$381.A\$385.2A2\$388.A2\$
381.A4.A\$384.2A222\$787.A.A3.A.A4\$787.A.A3.A.A4\$786.2A.2A2.A.A3\$785.A\$
790.A4.A3\$786.A5\$789.A131.DBD\$792.A129.BD\$801.A119.BD\$802.A\$792.A\$
922.DB\$921.DB74.A.A3.A.A\$921.DBD\$790.A\$791.2A\$997.A.A2.2A.2A4\$997.A.A
6.A\$1005.A3\$997.A.A7.A\$1003.4A\$793.2A\$792.A\$997.A.A6.A\$1003.A2.A\$793.
A.2A12.A\$809.A\$808.A188.A.A\$249.A.A419.A.A3.A.A\$793.A.A2\$249.A.A745.A
.A\$249.A.A419.A.A3.A.A\$247.A5.A539.A.A208.2A2.2A\$413.A.A3.A.A584.2A\$
997.A.A2.A8.A\$670.2A.2A2.A.A323.2A4.2A\$792.2A.2A\$412.2A.2A2.A.A254.A\$
669.A327.A.A\$249.A.A422.2A.A.A\$672.A119.A3.A\$412.A8.A\$149.A.A261.A
583.A.A\$249.A.A424.2A.A325.A\$1006.A\$149.A.A194.A.A11.A.A48.A7.A.A584.
A\$127.A.A19.A.A97.A.A160.4A\$110.A.A136.A.A425.A.A\$346.A.A11.A.A\$346.A
.A11.A.A56.A.A\$127.A.A19.A.A97.A.A92.A5.A7.A5.A\$96.A.A.2A7.2A.2A135.A
.A754.A\$80.A.A2.A.A11.A246.A.A657.A\$115.A297.A5.A.A583.A\$126.5A18.A.A
97.A.A163.A581.A.A\$109.A2.A\$80.A.A2.A.A9.2A10.A2.A\$418.2A.2A\$127.A2.
2A16.2A.2A844.A.A\$416.A\$80.A.A2.A.A22.2A304.A\$411.A10.A\$67.A.A59.A18.
A3.A843.2A.2A403.2A\$53.2A.A357.A879.A108.A\$39.2A39.A.A2.A.A1205.A\$51.
A5.A358.A.A874.A108.A\$67.A.A926.A3.A296.A103.A4.A\$39.A631.A4.A617.A\$
80.A.A2.A.A1205.A107.A\$1292.A\$67.A.A13.2A1207.A4.A102.A\$501.A.A172.2A
618.A\$80.2A4.2A329.A182.A.A238.A\$841.A560.3A\$66.2A.2A769.A\$500.2A.2A
896.A3.A\$416.A183.A.A265.A.A\$1401.A3.A\$66.A3.A434.A\$500.2A175.A.A\$
599.2A.2A264.A.A\$416.A.A2\$500.A4.A92.A77.2A.2A\$501.2A99.2A264.A.A\$
415.2A.2A\$605.A\$676.A3.A\$598.A4.A264.A.A\$415.A3.A181.2A3\$868.A.A4\$
868.A.A4\$868.A.A4\$.A3.A3.A858.A.A2\$.A3.A3.A2\$868.A.A4\$868.A.A2\$2.A2.
2A2.A2\$2.A2.2A2.A858.A.A7\$4.A3.A\$4.A3.A2\$4.A3.A8\$4.A3.A\$A3.A3.A3.A\$4.
A3.A\$A3.A3.A3.A\$4.A3.A16\$264.2A1578.2A\$263.A1579.A2\$262.A1579.A\$261.A
4.A1574.A4.A\$265.A\$260.A1580.A\$259.A4.A1575.A3.A\$263.A4.A1571.A3.A\$
258.A8.A\$257.A4.A\$261.A4.A1575.A\$256.A8.A4.A1954.2A\$232.2A21.A4.A8.A
1576.A377.A\$231.A2.2A.3A19.A4.A1576.A2.A.A\$263.A4.A1571.A3.A.A3.A372.
A\$267.A4.A1497.2A68.A9.A371.A4.A\$271.A1497.A70.A9.A\$233.A5.A1603.A3.A
374.A\$1773.A447.A3.A\$234.A1537.A62.A385.A3.A\$1834.A\$1770.A63.A322.2A\$
1770.A4.A380.A66.A\$219.2A16.A\$218.A18.A1536.A3.A381.A66.A\$222.A1606.A
329.A62.A2.A.A\$1774.A3.A49.A392.A3.A.A3.A\$210.2A9.A1606.A328.A63.A9.A
\$209.A1566.A380.A4.A58.A9.A\$199.2A2023.A3.A\$198.A10.A1951.A3.A\$208.A
1569.A44.A392.A\$1822.A338.A3.A49.A\$1822.A392.A\$2163.A3\$1780.A3.A3.A3.
A3.A20.A347.A44.A\$1816.A392.A\$1780.A3.A3.A3.A3.A19.A392.A4\$1795.A15.A
355.A3.A3.A3.A3.A20.A\$1792.A3.A13.A392.A\$1612.2A178.A.A15.A356.A3.A3.
A3.A3.A19.A\$1611.A198.A\$1794.A3.A\$1611.A182.A7.A3.A3.A3.A\$1610.A199.A
3.A367.A15.A\$1613.A184.A3.A3.A372.A3.A13.A\$1609.A569.A.A15.A\$1613.A
195.A4.A382.A\$1609.A2.A201.A366.A3.A\$2181.A7.A3.A3.A3.A\$1608.A2.A7.A
191.2A384.A3.A\$1607.A11.A181.2A382.A3.A3.A\$1611.A5.3A180.A\$1617.A7.A
174.A395.A4.A\$1609.A175.A13.A401.A\$1609.A15.A170.A\$1609.A5.A2.A149.A
3.A3.A3.A3.A7.A3.A3.A397.2A\$1614.A3.A.A179.A3.A383.2A\$1768.A3.A3.A3.A
3.A3.A3.A3.A3.3A.A382.A\$1517.2A277.A390.A\$1516.A655.A13.A\$1798.A384.A
\$1516.A638.A3.A3.A3.A3.A7.A3.A3.A\$2187.A3.A\$2155.A3.A3.A3.A3.A3.A3.A
3.A3.3A.A\$2183.A2\$825.A.A1357.A4\$824.2A.2A3\$822.A\$820.A7.A\$826.2A\$
819.A\$818.A\$821.A3.A3.A2\$826.2A3.A2\$823.A.A.A\$827.A\$817.A3.A3.A\$817.A
7.A4.2A2\$817.A3.A3.A5\$622.A.2A2\$621.A2\$625.A2\$621.A2\$622.A.2A11\$621.A
3.A2\$621.A3.A48\$1045.A\$1044.A\$1044.A\$1048.A\$1045.A\$1044.A\$1043.A\$
1043.A4.A\$1047.A4.A\$1052.A\$1051.A2\$1060.A\$1060.A10.A\$1059.A10.A\$1070.
A4\$1065.A\$1064.A\$1064.A32\$1037.A\$1037.A\$1036.A3\$1038.A\$1037.A\$1037.A
338\$768.A.A3.A.A4\$768.A.A2.2A.2A2\$771.A2\$768.A.A2.A3.A\$775.2A3\$768.A.
A\$775.A3\$768.A.A4.2A2.A4\$768.A.A9.A4\$768.A.A3.A2.2A2.A\$775.2A2.2A3\$
768.A.A4\$768.A.A4\$769.A4.A\$775.A\$775.A\$769.A\$770.A\$769.A\$775.A\$775.A\$
769.A4.A4\$768.A.A4\$768.A.A4\$767.2A.2A260.2A\$1031.A2\$1030.A\$767.A3.A
15.A241.A4.A\$787.A\$786.A242.A\$1028.A3.A\$1028.A3.A3\$1030.A2\$1030.A3.A
4\$1026.A\$1025.A\$1025.A2\$1039.A\$799.A237.A5.A\$799.A220.A22.A\$798.A220.
A\$1019.A20.2A4\$1014.A\$1013.A\$1013.A4\$1008.A\$1007.A\$1007.A3\$811.A\$811.
A190.A\$810.A190.A\$1001.A4\$996.A\$995.A\$995.A4\$990.A\$989.A\$989.A3\$823.A
\$823.A160.A\$822.A160.A\$983.A4\$978.A\$977.A\$977.A4\$972.A\$971.A\$971.A3\$
835.A\$835.A130.A\$834.A130.A\$965.A4\$960.A\$959.A\$959.A4\$954.A\$953.A\$
953.A3\$847.A\$847.A100.A\$846.A100.A\$947.A4\$942.A\$941.A\$941.A4\$936.A\$
935.A\$935.A3\$859.A\$859.A70.A\$858.A70.A\$929.A4\$924.A\$923.A\$923.A4\$918.
A\$917.A\$917.A3\$871.A\$871.A40.A\$870.A40.A\$911.A4\$906.A\$905.A\$905.A4\$
900.A\$899.A\$899.A3\$883.A\$883.A10.A\$882.A10.A\$893.A4\$888.A\$887.A\$887.A
!
``````
The bottom one doesn't work; maybe someone can find a rake with the right period and direction?

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Pteriforever wrote: 7. One challenge attempt. Nothing exists besides 2c/7 diagonal spaceships and replicators.
This is a very nice rule! I named it silvertail1 because of the name of rule number 5. Below is a gun and an O(t^log2(3)) growth pattern.

Code: Select all

``````x = 42, y = 42, rule = silvertail1
2.G\$.2G37.G\$3.2G35.2G\$3.G34.2G\$39.G33\$2.G\$2.2G34.G\$2G35.2G\$.G37.2G\$
39.G!``````

Code: Select all

``````x = 17, y = 4, rule = silvertail1
.G13.2G\$2G14.G\$2.2G\$2.G!``````

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Here are two rakes and a replicator puffer.

Code: Select all

``````x = 17, y = 17, rule = silvertail1
2.2G\$3.G12\$.G13.2G\$2G14.G\$2.2G\$2.G!``````

Code: Select all

``````x = 34, y = 29, rule = silvertail1
23.2E\$25.E4.E\$21.4E3.E.E.E\$24.4E.E3.E\$21.2E.E2.E3.E.E\$22.E.E4.2E\$24.
4E2.E\$16.E11.E.E\$18.E\$14.2E.2E\$14.2E3.2E\$12.E6.E\$14.E6.E\$13.2E3.2E\$
15.2E.2E\$15.E\$17.E\$22.2E\$24.E\$4.E17.2E.E\$6.E12.2E2.E.E\$2.2E.2E14.E\$2.
2E3.2E10.2E.E\$E6.E12.E.E\$2.E6.E\$.2E3.2E\$3.2E.2E\$3.E\$5.E!``````

Code: Select all

``````x = 103, y = 74, rule = silvertail1
G13\$40.D.D\$38.D2.D\$44.D\$37.D5.D\$38.D5.D\$37.D\$40.D2.D\$34.D4.D.D\$34.D\$
32.2D\$37.D\$37.D2.2D\$35.2D2.D12.D.D\$39.D10.D2.D\$43.2D11.D\$42.D6.D5.D\$
42.D7.D5.D\$49.D\$52.D2.D\$51.D.D17\$76.D.D17.D\$74.D2.D17.D2.D\$80.D\$73.D
5.D12.2D5.D\$74.D5.D10.D2.D3.D\$73.D17.D3.D\$76.D2.D12.D3.D\$75.D.D11.D3.
D2.D\$88.D5.2D2\$89.D2.D\$91.D\$84.D\$83.D2.D2\$80.2D5.D\$79.D2.D3.D\$79.D3.D
\$80.D3.D\$77.D3.D2.D\$76.D5.2D2\$77.D2.D\$79.D\$100.D.D!``````

Dets65
Posts: 23
Joined: May 7th, 2013, 8:20 am

Here's a rule I call "Rebirth", it can exhibit some interesting growth activity if the center of the pattern is random enough: 345/23/45

And also I have one I'm experimenting with that may or may not be worthy of its own thread, I will investigate further :

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

0236/35678/3 has an interesting dot puffer.

Code: Select all

``````x = 18, y = 9, rule = 0236/35678/3
13.A\$11.A2BA\$4.B5.ABA2BA\$3.A.2A2.A3BA2BA\$A.2B.2A2.AB.ABA2BA\$3.A.2A2.A
3BA2BA\$4.B5.ABA2BA\$11.A2BA\$13.A!``````
It also has a p32 shuttle, but I have not figured out how to make it into an oscillator.

Code: Select all

``````x = 3, y = 2, rule = 02356/36/4
3A\$.A!``````

wildmyron
Posts: 1274
Joined: August 9th, 2013, 12:45 am

@c0b0p0 Two interesting rules there, I like the organic / chaotic behaviour they both display. Interestingly the tetromino seems to be a shuttle with the same period in both of them.

Here are a few spaceships in B3568/S27 which travel at speeds not listed in David Eppstein's database:

Speed c/3

Code: Select all

``````x = 10, y = 17, rule = B3568/S27
2bo\$2bo\$2bo2b2o\$2bobobo\$obo2bo\$2bob2o\$bo3bo\$bobob2obo\$bo3b5o\$2b
2o2b2obo\$bo2bob4o\$bo2bo4bo\$bo6bo\$3bo3bo\$3b2obo\$4bobo\$5bo!``````
Speed c/5

Code: Select all

``````x = 18, y = 52, rule = B3568/S27
5bo2b2o2bo2\$5b3o2b3o\$5bo6bo\$2bo2b3o2b3o2bo\$5bo6bo\$4bob6obo\$3b3o
6b3o\$6bob2obo\$3bobo6bobo\$6b6o\$4bo8bo\$4b2obo2bob2o\$2b3obo4bob3o\$6b
o4bo\$4b2o6b2o\$bo14bo\$2b3o8b3o3\$3o12b3o2\$b2o12b2o2\$3bo10bo\$2b3o8b
3o\$2bobo8bobo\$2bo12bo2\$3bo10bo\$3bob2o4b2obo\$3bo3bo2bo3bo\$4b2obo2b
ob2o\$6bob2obo\$2o3bo6bo3b2o\$obob4o2b4obobo\$2bob3ob2ob3obo\$2bo3bo4b
o3bo\$3bo10bo2\$4b3o4b3o\$5bo6bo\$5b8o2\$5bo6bo\$5bob4obo\$6bob2obo\$8b2o
2\$5b2ob2ob2o\$4bobo4bobo\$5bo6bo!``````
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Slight modifications to the dot puffer often result in long-lived methuselahs, like this one.

Code: Select all

``````x = 12, y = 9, rule = 0236/35678/3
7.A\$5.A2BA\$4.ABA2BA\$A2.A3BA2BA\$2A.AB.ABA2BA\$A2.A3BA2BA\$4.ABA2BA\$5.A2B
A\$7.A!``````

Kazyan
Posts: 866
Joined: February 6th, 2014, 11:02 pm

I did a thing with apgsearch on B34/S26; it will go here to avoid cluttering the apgsearch thread. Fun rule.

Code: Select all

`````` # 33,716,282 objects in 100,000,000 16x16 soups in the rule B34/S26
# Found and tallied via calcyman's apgsearch, with the seed Kazyan's100M_2014-09-30T12:09:21.346000_
x = 39, y = 549, rule = B34/S26
o9b3ob3obobobobobobobob3ob3o\$o11bobo3bobobobobobobobobo3bo\$o9b3ob3ob3o
b3ob3obob3ob3o\$10bo5bo3bo3bo3bobobobobo\$10b3ob3o3bo3bo3bobob3ob3o6\$bo
8b3ob3ob3ob3ob3ob3ob3o\$2o10bobobobo3bobobobo3bobobo\$2o8b3obobob3ob3obo
bob3obobo\$bo8bo3bobobobobobobobo3bobobo\$10b3ob3ob3ob3ob3ob3ob3o6\$b2o7b
ob3ob3ob3ob3ob3ob3o\$o9bo3bo3bobobobobo3bobobo\$b2o7bob3o3bob3ob3ob3ob3o
\$2bo7bobo5bobobobobo3bobo\$10bob3o3bob3ob3ob3ob3o6\$bo8bob3ob3ob3ob3obob
ob3o\$obo7bo3bo3bo3bobobobobobo\$obo7bob3o3bob3ob3ob3ob3o\$2bo7bobo5bobo
5bo3bobobo\$10bob3o3bob3ob3o3bob3o6\$bo8bob3ob3ob3ob3ob3ob3o\$obo7bo3bobo
3bobobo5bobo\$obo7bob3ob3ob3ob3ob3ob3o\$bo8bobo3bobo3bo3bo3bobobo\$10bob
3ob3ob3ob3ob3ob3o6\$bo8bobob3ob3ob3ob3ob3o\$2o8bobobobo3bobobobo5bo\$b2o
7bobob3o3bobobob3ob3o\$bo8bobobobo3bobobobobobo\$10bobob3o3bob3ob3ob3o6\$
b2o7b3ob3ob3ob3ob3ob3o\$o9bobo3bo3bobobobo5bo\$3bo6b3ob3ob3obobob3o3bo\$b
2o9bobo3bo3bobo3bo3bo\$10b3ob3ob3ob3ob3o3bo6\$bobo6b3obobobobob3obo\$2o8b
obobobobobobo3bo\$b3o6b3ob3ob3ob3obo\$2bo9bo3bo3bo3bobo\$10b3o3bo3bob3obo
6\$b3o6b3obob3obob3o\$o9bo3bobo3bo3bo\$b3o6b3obob3obob3o\$bobo8bobobobobo
3bo\$10b3obob3obob3o6\$bo8bobobobob3ob3ob3o\$obo7bobobobobobo3bobobo\$2bo
7b3ob3obobob3obobo\$bobo8bo3bobobo3bobobo\$b3o8bo3bob3ob3ob3o6\$o10b3ob3o
bob3ob3o\$3o10bobobobo3bobobo\$obo8b3ob3obob3ob3o\$3o8bo3bobobobo5bo\$o10b
3ob3obob3ob3o6\$2o8bob3ob3ob3obobo\$o9bobobobobobo3bobo\$bo8bobobob3ob3ob
3o\$2o8bobobo3bo3bo3bo\$bo8bob3ob3ob3o3bo6\$bo8b3ob3ob3ob3o\$bobo6bobobobo
bo3bobo\$obo7b3obobob3ob3o\$2bo7bobobobo3bo3bo\$10b3ob3ob3ob3o6\$bo8b3ob3o
b3ob3o\$2o10bo3bobobo3bo\$bo10bob3obobo3bo\$o11bo3bobobo3bo\$2o10bob3ob3o
3bo\$o5\$2o9b3ob3ob3ob3o\$o10bo3bobo3bo3bo\$bo9b3ob3ob3o3bo\$2o11bobobobo5b
o\$11b3ob3ob3o3bo6\$o2bo6bobob3ob3ob3o\$o2bo6bobo3bobobobobo\$o2bo6b3o3bob
3obobo\$o2bo8bo3bobobobobo\$12bo3bob3ob3o6\$3o7bobob3ob3ob3o\$ob2o6bobo3bo
3bobobo\$4o6b3ob3o3bobobo\$2b2o8bobo5bobobo\$2bo9bob3o3bob3o6\$6o5bobob3ob
3obobo\$o4bo5bobobobobo3bobo\$ob2obo5b3obobob3ob3o\$13bobobobobo3bo\$2b2o
9bob3ob3o3bo6\$b2o7b3ob3ob3ob3o\$4o8bobobo3bobobo\$b2obo5b3ob3o3bob3o\$2b
2o8bobobo3bo3bo\$3b2o5b3ob3o3bo2b2o6\$bo8b3obobobobobo\$3obo7bobobobobobo
\$2bo2bo4b3obob3ob3o\$3bobo4bo3bo3bo3bo\$10b3obo3bo3bo6\$4bo5b3ob3ob3obobo
\$3o2bo6bobobo3bobobo\$b2o2bo4b3obobob3ob3o\$3bo6bo3bobobo5bo\$10b3ob3ob3o
3bo6\$4o6b3ob3ob3o\$o2bo6bo3bobobobo\$4o6b3ob3ob3o\$4o8bo3bo3bo\$b2o7b3ob3o
b3o6\$3bo6b3ob3ob3o\$b2o2bo4bo3bo3bo\$3obo5b3ob3ob3o\$b2o2bo6bobobo3bo\$3bo
6b3ob3ob3o6\$ob2o6b3ob3ob3o\$3b2o7bobobo3bo\$o3bo5b3obobob3o\$2o2bo5bo3bob
obo\$b3o6b3ob3ob3o6\$bobobo4bob3ob3o\$3o2bo4bobobobobo\$4bo5bob3ob3o\$10bo
3bo3bo\$10bob3ob3o6\$b4o5bob3obo\$bo2bo5bo3bobo\$5o5bob3obo\$b4o5bo3bobo\$2b
2o6bob3obo6\$bo8b3ob3o\$2o8bobobo\$b2o7b3ob3o\$obo7bobo3bo\$3bo6b3ob3o\$bo\$
2b2o4\$4o6b3obobo\$2obo8bobobo\$ob2o8bob3o\$4o8bo3bo\$12bo3bo6\$bo8b3ob3o\$2o
3bo4bo3bobo\$6o4b3ob3o\$o3b2o6bo3bo\$4bo5b3ob3o6\$4o6bobobo\$2obo6bobobo\$ob
2o6b3obo\$4o8bobo\$2bo9bobo6\$obo7b3ob3o\$o2bobo6bobo\$bob3o4b3ob3o\$4b2o4bo
5bo\$4bo5b3ob3o6\$2bo7bob3o\$2bobo5bobobo\$2obo6bob3o\$2bob2o4bobobo\$bobo6b
ob3o\$3bo5\$4b2o4bob3o\$3bo6bo3bo\$5bo4bo3bo\$bobo6bo3bo\$bobo6bo3bo\$2o\$bo4\$
3o8bob3o\$b2obo6bo3bo\$3bo2bo4bob3o\$3bo2bo4bo3bo\$5bo5bob3obo6\$3o7bob3o\$o
3bo5bo3bo\$2b2o6bob3o\$bo3bo4bobo\$3b3o4bob3o6\$b4o5bob3o\$3obo5bobobo\$bob
3o4bobobo\$b4o5bobobo\$10bob3obo6\$bo8b3o\$b2o7bobo\$b2o7b3o\$3bo6bobo\$o9b3o
\$b2o\$b2o\$2bo3\$o2b4o8b3o\$ob2o2bo8bobo\$2obo2bo8b3o\$4b2o9bobo\$15b3o6\$2o8b
3o\$2bo9bo\$o11bo\$bobo8bo\$3bo8bo\$3b2o\$4b2o\$4bo3\$bo8bobo\$3obo5bobo\$2bo2bo
4b3o\$3bob3o4bo\$6bo5bo6\$2bo3b3o3b3o\$bob2o2bo6bo\$2ob2o7b3o\$14bo\$12b3o6\$b
4o5b3o\$o4bo6bo\$o4bo4b3o\$o4bo6bo\$o4bo4b3o\$b4o5\$4bo5b3o\$3obo7bo\$4bo5b3o\$
bo10bo\$bob3o4b3o\$bo5\$obo4bobo3b3o\$o2b4o2bo5bo\$b3o2b3o4b3o\$13bo\$13b3o6\$
6bobo4bo\$3ob2o2bo4bo\$bob2o2bo5bo\$5bo7bo\$13bo6\$b2o10bo\$o12bo\$o2bob2o6bo
\$b2obobo6bo\$3bob2o6bo6\$bo3bo7bo\$b2o3bo6bo\$o2b2obo6bo\$b2o3bo6bo\$bo3bo7b
o6\$2b3o8bo\$b2o2bo7bo\$2o3bo7bo\$o3b2o7bo\$3b2o8bo\$ob2o5\$2bo10bo\$o2bo9bo\$o
bo10bo\$bo11bo\$2b2o9bo\$3b3o\$2b3o4\$b2o10bo\$bo11bo\$2bo10bo\$b2o10bo\$bobo9b
o\$o\$2bo\$2o3\$5bo7bo\$3b2obo6bo\$2b4o7bo\$bob3o7bo\$bo11bo\$2o\$bo4\$b2o10bo\$3b
o9bo\$obobo8bo\$3bobo7bo\$2o3bo7bo\$2o\$o4\$bo11bo\$3obo8bo\$2bo2bo7bo\$3bob2ob
o4bo\$6bo2bo3bo\$7bobo5\$bobo9bo\$o2b2o8bo\$2bob2o7bo\$2obo9bo\$b2o2bo7bo\$2bo
bo5\$3bo9bo\$2bo2bo7bo\$3b2o8bo\$6bo6bo\$bob3o7bo\$2b2o\$2o\$2o\$o!``````
Tanner Jacobi

dvgrn
Moderator
Posts: 5888
Joined: May 17th, 2009, 11:00 pm
Contact:

Kazyan wrote:I did a thing with apgsearch on B34/S26; it will go here to avoid cluttering the apgsearch thread. Fun rule.
Very interesting that all those numbers reliably burn away naturally before the various spaceships even get there -- it's a very different dynamic (or lack of dynamic) from Conway's Life, which is much closer to the boundary between order and chaos.

I wonder if there's any possible hope of signal circuitry in this rule, presumably using the more common one of those rare spaceships... Looks like it would be near-impossible to design a still life that wouldn't collapse into vacuum when a spaceship hit it. But maybe a custom-designed high-period oscillator could throw out a big enough spark that a spaceship could modify it into two opposite 90-degree spaceships...?

Kazyan
Posts: 866
Joined: February 6th, 2014, 11:02 pm

The problem with getting any signal circuitry out of B34/S26 is that it just does not expand on its own, whereas Life has plenty of ways to reach out into the void with B-heptominoes, Pi-heptominoes, etc.. My manual observations have turned up no analogues in B34/S26. Still lifes are very probably out--the beehive may in fact be the only possible still life in this rule. B34/S26 is probably not salvageable with anything conventional. Maybe something exotic such as a loop of extensible oscillators with a signal running around them, but that's beyond me.
Tanner Jacobi

Kazyan
Posts: 866
Joined: February 6th, 2014, 11:02 pm

The apgsearch haul hasn't completed yet, but I found a new spaceship in B34/S26. It's not in David Eppstein's database. I'm guessing I've found twenty of the p6 spaceships so far outside of catagolue, and only the one of this thing.

Code: Select all

``````x = 7, y = 7, rule = B34/S26
4bo\$2b5o\$b4obo\$o2bobo\$o3bo\$o\$b2o!``````
Tanner Jacobi

Kiran
Posts: 284
Joined: March 4th, 2015, 6:48 pm