Crystalize

For discussion of other cellular automata.
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Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Crystalize

Post by Sphenocorona »

While messing around with the three-state random rule creator I found this rather interesting rule that strides the border between stable and exploding:

Code: Select all

@RULE Crystalize

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute

0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,2,0
0,0,0,0,0,0,0,1,1,1
0,0,0,0,0,0,0,1,2,2
0,0,0,0,0,0,0,2,2,0
0,0,0,0,0,0,1,1,1,0
0,0,0,0,0,0,1,1,2,0
0,0,0,0,0,0,1,2,2,0
0,0,0,0,0,0,2,2,2,0
0,0,0,0,0,1,1,1,1,0
0,0,0,0,0,1,1,1,2,0
0,0,0,0,0,1,1,2,2,0
0,0,0,0,0,1,2,2,2,0
0,0,0,0,0,2,2,2,2,0
0,0,0,0,1,1,1,1,1,0
0,0,0,0,1,1,1,1,2,0
0,0,0,0,1,1,1,2,2,0
0,0,0,0,1,1,2,2,2,1
0,0,0,0,1,2,2,2,2,0
0,0,0,0,2,2,2,2,2,0
0,0,0,1,1,1,1,1,1,0
0,0,0,1,1,1,1,1,2,0
0,0,0,1,1,1,1,2,2,0
0,0,0,1,1,1,2,2,2,0
0,0,0,1,1,2,2,2,2,2
0,0,0,1,2,2,2,2,2,0
0,0,0,2,2,2,2,2,2,0
0,0,1,1,1,1,1,1,1,0
0,0,1,1,1,1,1,1,2,0
0,0,1,1,1,1,1,2,2,0
0,0,1,1,1,1,2,2,2,0
0,0,1,1,1,2,2,2,2,0
0,0,1,1,2,2,2,2,2,0
0,0,1,2,2,2,2,2,2,0
0,0,2,2,2,2,2,2,2,0
0,1,1,1,1,1,1,1,1,0
0,1,1,1,1,1,1,1,2,0
0,1,1,1,1,1,1,2,2,0
0,1,1,1,1,1,2,2,2,2
0,1,1,1,1,2,2,2,2,2
0,1,1,1,2,2,2,2,2,0
0,1,1,2,2,2,2,2,2,1
0,1,2,2,2,2,2,2,2,0
0,2,2,2,2,2,2,2,2,1
1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,2,2
1,0,0,0,0,0,0,1,1,0
1,0,0,0,0,0,0,1,2,0
1,0,0,0,0,0,0,2,2,0
1,0,0,0,0,0,1,1,1,0
1,0,0,0,0,0,1,1,2,0
1,0,0,0,0,0,1,2,2,0
1,0,0,0,0,0,2,2,2,0
1,0,0,0,0,1,1,1,1,0
1,0,0,0,0,1,1,1,2,0
1,0,0,0,0,1,1,2,2,2
1,0,0,0,0,1,2,2,2,0
1,0,0,0,0,2,2,2,2,0
1,0,0,0,1,1,1,1,1,0
1,0,0,0,1,1,1,1,2,1
1,0,0,0,1,1,1,2,2,0
1,0,0,0,1,1,2,2,2,0
1,0,0,0,1,2,2,2,2,0
1,0,0,0,2,2,2,2,2,0
1,0,0,1,1,1,1,1,1,0
1,0,0,1,1,1,1,1,2,0
1,0,0,1,1,1,1,2,2,0
1,0,0,1,1,1,2,2,2,0
1,0,0,1,1,2,2,2,2,0
1,0,0,1,2,2,2,2,2,1
1,0,0,2,2,2,2,2,2,2
1,0,1,1,1,1,1,1,1,2
1,0,1,1,1,1,1,1,2,0
1,0,1,1,1,1,1,2,2,0
1,0,1,1,1,1,2,2,2,0
1,0,1,1,1,2,2,2,2,0
1,0,1,1,2,2,2,2,2,0
1,0,1,2,2,2,2,2,2,0
1,0,2,2,2,2,2,2,2,0
1,1,1,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,2,0
1,1,1,1,1,1,1,2,2,0
1,1,1,1,1,1,2,2,2,0
1,1,1,1,1,2,2,2,2,0
1,1,1,1,2,2,2,2,2,0
1,1,1,2,2,2,2,2,2,0
1,1,2,2,2,2,2,2,2,0
1,2,2,2,2,2,2,2,2,0
2,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,1,0
2,0,0,0,0,0,0,0,2,2
2,0,0,0,0,0,0,1,1,0
2,0,0,0,0,0,0,1,2,1
2,0,0,0,0,0,0,2,2,2
2,0,0,0,0,0,1,1,1,0
2,0,0,0,0,0,1,1,2,1
2,0,0,0,0,0,1,2,2,0
2,0,0,0,0,0,2,2,2,0
2,0,0,0,0,1,1,1,1,0
2,0,0,0,0,1,1,1,2,0
2,0,0,0,0,1,1,2,2,2
2,0,0,0,0,1,2,2,2,2
2,0,0,0,0,2,2,2,2,0
2,0,0,0,1,1,1,1,1,0
2,0,0,0,1,1,1,1,2,0
2,0,0,0,1,1,1,2,2,1
2,0,0,0,1,1,2,2,2,0
2,0,0,0,1,2,2,2,2,2
2,0,0,0,2,2,2,2,2,0
2,0,0,1,1,1,1,1,1,0
2,0,0,1,1,1,1,1,2,2
2,0,0,1,1,1,1,2,2,0
2,0,0,1,1,1,2,2,2,0
2,0,0,1,1,2,2,2,2,1
2,0,0,1,2,2,2,2,2,0
2,0,0,2,2,2,2,2,2,1
2,0,1,1,1,1,1,1,1,0
2,0,1,1,1,1,1,1,2,0
2,0,1,1,1,1,1,2,2,0
2,0,1,1,1,1,2,2,2,1
2,0,1,1,1,2,2,2,2,0
2,0,1,1,2,2,2,2,2,0
2,0,1,2,2,2,2,2,2,0
2,0,2,2,2,2,2,2,2,0
2,1,1,1,1,1,1,1,1,0
2,1,1,1,1,1,1,1,2,0
2,1,1,1,1,1,1,2,2,0
2,1,1,1,1,1,2,2,2,0
2,1,1,1,1,2,2,2,2,0
2,1,1,1,2,2,2,2,2,0
2,1,1,2,2,2,2,2,2,0
2,1,2,2,2,2,2,2,2,2
2,2,2,2,2,2,2,2,2,0
Given a rectangle randomly filled at 50% density, the pattern will exhibit class 2 or 3 behavior, with class 2 being dominant over class 3. This mix creates a rule that is much tamer if carefully handled. Here is a sampler of patterns I found relatively quickly:

Code: Select all

x = 522, y = 19, rule = Crystalize
345.2A28.2A$286.2A106.2A$285.B58.B2.B26.B2.B40.2A21.2A19.2A31.AB$.2A
285.A55.B29.B18.B2.B96.B2.B$18.2A267.2B55.B29.B18.B23.B2.B19.B2.B17.B
2.B27.B2.B$B2.A283.A56.B29.B18.B23.B22.B20.B58.AB$4.A12.B2.A25.2A239.
A56.B29.B18.B23.B22.B20.B56.B2.B$2.B2.A15.A51.2A114.2A67.2A27.B2.B53.
B29.B18.A23.B22.B20.B58.B$6.A12.B2.A22.B2.A164.2A21.2A51.B54.B29.A17.
B24.B22.B20.B$7.B15.B25.A22.B2.A40.2A27.2A41.B2.A65.B2.A28.B54.A47.B.
A22.B22.B$47.B2.A25.A85.2A28.A19.B2.A19.B2.A22.A111.2B42.B22.B$46.B4.
B25.A37.B2.A25.B2.A45.A22.A22.A22.A154.A22.A$78.A40.A28.A12.B2.A29.A
22.A$79.B37.B2.A28.A15.A29.A22.A197.AB21.B.B$116.B4.A28.A15.A29.A$
122.B28.A15.A$152.AB14.A$169.A$170.B!
EDIT: I found some c/2 puffers and wick stretchers:

Code: Select all

x = 131, y = 14, rule = Crystalize
47.A.A5.A.A4.A.A5.A.A$18.A.A26.A.A5.A.A4.A.A5.A.A$18.A.A25.A3.A3.A3.A
2.A3.A3.A3.A33.A.A4.A.A4.A.A$17.A3.A85.A.A4.A.A4.A.A$47.A.A5.A.A4.A.A
5.A.A33.A3.A2.A3.A2.A3.A$51.A.A12.A.A$16.B5.B22.B4.A3.A4.2B4.A3.A4.B$
17.B3.B24.B2.A5.A2.B2.B2.A5.A2.B31.B5.2B5.2B5.B$16.B5.B22.B28.B31.B3.
B9.B3.B$46.B2.A5.A8.A5.A2.B$45.B5.A.A12.A.A5.B$46.B26.B$45.BA26.AB!
No spaceships at the speed so far though.

EDIT 2: The rule for state 1 cells happens to be B2/S/C7 where C means 'convert' as in change to state 2. This means many engineered patterns for Seeds will work in this rule, including one of the c/2 ships.
towerator
Posts: 328
Joined: September 2nd, 2013, 3:03 pm

Re: Crystalize

Post by towerator »

Code: Select all

x = 16, y = 22, rule = Crystalize
13.2B$14.B$11.B$4.B2.B4.2B$8.B$4.A8.B$4.B4.2B3.A$11.B2.A$12.A$7.B2.A
2$4.B4.2A$6.2A$5.A3.A$8.A$6.2A!
a natural breeder, being a puffer rake.
This is game of life, this is game of life!
Loafin' ships eaten with a knife!
TWLife
Posts: 57
Joined: August 30th, 2013, 8:12 pm

Re: Crystalize

Post by TWLife »

Here are some interesting things I found in a soup

Code: Select all

x = 54, y = 62, rule = Crystalize
2.B.B$.B4.2B$.B$3A.BA2B$9.B$.A6.B2.B$2.2B6.B.B4.B$10.B$4.2B$18.B9.A$
17.B2.B5.A3.A$B23.B.A3.A18.3B$B3.2B3.B8.A2.B2.B2.B22.B.B$9.B.B5.B8.BA
21.2B2.A$.B8.B.B2.B4.B7.B5.B5.B5.B6.A$B12.2B9.B3.B.B3.B.B3.B.B3.B.B3.
A$B16.B.B4.B5.B5.B5.B5.B7$26.3B$27.B.B$26.2B2.A$23.B6.A$23.B.B3.A$25.
B8$24.B2.B$23.B3.BA$24.B.A3.A$26.AB2.A$26.B2.B$28.B6$26.B.B$13.B10.2B
.B$13.B$12.B2$12.B.B13.B$30.B2$12.B2A11.B2.A$15.B10.B.A$14.A11.B.A$
11.B14.B.2B$12.2A12.B2.A2$27.2A!
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