GliderWorld

[Yoel]

Another 3-color symmetric multistate rule abundant with c6/12 "gliders" and a very rich variety of natural diagonal spaceships moving at c/2, which form various rakes. The ruleline is T11b3b12b6a-2ar3ar31a in my notation, which means that:

1. Two cells of different colors give birth to a cell of the second color (e.g. red+green->green).
2. Three cell of the same color give birth to a cell of the next color in the cycle.
3. One cell of a certain color and two cells of the next color (not the other way around) give birth to a cell of the second color.
4. Six cells of one color give birth to a cell of the same color.

5. A cell survives, if surrounded by two or three cells of the same color, not necessarily the same color as the surviving cell.
6. A cell survives, if surrounded by three cells of its own color and one cell of the next color.

Code: Select all

@RULE GliderWorld

# T11b3b12b6a-2ar3ar31a

# Copyright by Yoel Matveyev, 2021
# The GNU General Public License v3.0 

@COLORS

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

@TABLE

n_states:4
neighborhood:Moore
symmetries:permute
var A={0,1,2,3}
var B=A
var C=A
var D=A
var E=A
var F=A
var G=A
var H=A
var I=A

var a={1,2,3}
var b=a
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a

0,3,1,0,0,0,0,0,0,1
0,1,2,0,0,0,0,0,0,2
0,2,3,0,0,0,0,0,0,3
0,3,3,3,0,0,0,0,0,1
0,1,1,1,0,0,0,0,0,2
0,2,2,2,0,0,0,0,0,3
0,3,1,1,0,0,0,0,0,1
0,1,2,2,0,0,0,0,0,2
0,2,3,3,0,0,0,0,0,3
0,i,i,i,i,i,i,0,0,i
i,3,3,0,0,0,0,0,0,i
i,1,1,0,0,0,0,0,0,i
i,2,2,0,0,0,0,0,0,i
i,3,3,3,0,0,0,0,0,i
i,1,1,1,0,0,0,0,0,i
i,2,2,2,0,0,0,0,0,i
3,3,3,3,1,0,0,0,0,3
1,1,1,1,2,0,0,0,0,1
2,2,2,2,3,0,0,0,0,2

I,A,B,C,D,E,F,G,H,0

It has a common natural p10 gun, from which other slower guns can be easily constructed:

Code: Select all

x = 15, y = 14, rule = GliderWorld
$5.2C$4.2C$4.C3.C$8.C$6.2C!

Code: Select all

x = 80, y = 40, rule = GliderWorld
9$42.B2A$17.AB5.BA16.A.B$16.B2A5.2AB15.AB$14.A.2B7.2B.A36.AB5.BA$64.B
2A5.2AB$16.A9.A35.A.2B7.2B.A2$31.BA31.A9.A$30.B.A3.2AB$30.2AB3.B.A19.
AB$37.BA13.B2A3.A.B$52.A.B3.B2A$16.A15.A19.AB2$14.A.2B13.2B.A23.A15.A
$16.B2A11.2AB$17.AB11.BA24.A.2B13.2B.A$58.B2A11.2AB$59.AB11.BA!

Code: Select all

x = 266, y = 66, rule = GliderWorld
12$43.2A$43.2A90.2A$135.2A5$53.B$50.B2.2B$22.A11.A15.2B2.B$20.B2.B9.B
2.B14.B2.B96.BC$23.2B7.2B20.B15.A11.A68.2B15.2B.2B$19.B5.A5.A5.B30.B
2.B9.B2.B80.C2.CB.BC2.C67.2C5.2C$21.B13.B35.2B7.2B38.2B.2B39.3B7.3B
67.2C3.2C$24.B7.B34.B5.A5.A5.B31.C2.CB.BC2.C36.B.CB5.BC.B18.BC5.CB37.
C3.C3.C3.C$18.2B2.B11.B2.2B30.B13.B32.3B7.3B38.CB3.BC20.C2B5.2BC36.C
11.C$19.B17.B34.B7.B35.B.CB5.BC.B39.BC.CB19.B.2C7.2C.B35.2C7.2C$19.B
23.B22.2B2.B11.B2.2B32.CB3.BC41.2B3.2B$18.2B2.B17.B2.2B22.B17.B34.BC.
CB25.CB42.B9.B31.2C$24.B13.B22.B23.B33.2B3.2B24.2B78.C$21.B19.B18.2B
2.B17.B2.2B54.BC66.CB18.2C2.C5.C$19.B5.A11.A5.B22.B13.B60.2B65.C.B3.
2BC16.C.2C2.C$23.2B13.2B23.B19.B124.2BC3.C.B19.C$20.B2.B15.B2.B18.B5.
A11.A5.B129.CB13.2C$22.A17.A24.2B13.2B$62.B2.B15.B2.B109.B15.B25.2C
13.2C$64.A17.A78.2B9.2B61.C17.C$162.BC7.CB19.B.2C13.2C.B22.C3.C9.C3.C
$119.2B9.2B29.CB9.BC20.C2B11.2BC27.2C9.2C$120.BC7.CB27.B.CB11.BC.B18.
BC11.CB27.2C11.2C$119.CB9.BC26.3B2.CB5.BC2.3B$116.B.CB11.BC.B24.C2.C.
B5.B.C2.C$116.3B2.CB5.BC2.3B27.2BC5.C2B$117.C2.C.B5.B.C2.C$120.2BC5.C
2B!

An uncommon orthogonal 2c/9 spaceship:

Code: Select all

x = 9, y = 13, rule = GliderWorld
3$4.3A$6.A$6.A$6.A$6.A$4.3A!

Most ships are diagonal:

Code: Select all

x = 561, y = 456, rule = GliderWorld
21$229.2AB$229.B.A$230.BA4$227.B4A.A$227.BA4.2A2$232.A$232.2A3$255.B$
252.B2.2B$252.B2$254.2B2$254.B2.2AB$257.B.A$258.BA2$254.B12$276.2AB$
276.B.A$162.2B113.BA$157.B5.2B$158.2B2$162.2B5$152.2A9.AB$163.2A$150.
A3.A$150.2A.A2$295.2AB$295.B.A$296.BA2$299.2AB$299.B.A$300.BA13$318.A
B$315.A2B2A$315.2A2BA$315.BA$316.B6$334.AB$334.2A$334.BA2$328.A$330.A
2.BA$327.C.2A2.A$170.AB152.AB$170.2A3.B148.2A$108.2C65.2B147.BA$109.
2C61.B153.A$110.C$118.AB54.2B$117.B2A$110.BA6.BA$110.2A3.A234.2AB$
109.A240.B2A$110.C4.C234.2B$110.A.A2.B233.2AB$112.A232.A3.B2A2$344.B
2.A$192.2B$193.2B$194.B3$196.CA$196.2C159.B$195.A158.B2.2B$354.B$194.
A163.B3.AB$355.4B3.2A2$353.BAB$354.BA$351.BA.AB5$144.2AB75.2B$144.B2A
76.2B$144.2B$143.2AB75.2B4.CA$139.3A3.A76.B.A2.2C$139.A2.2AB230.AB$
137.2A4.B228.A2B2A$137.B2A2.A229.2A$139.A2.A73.C162.AB$214.ABAC161.2A
$143.2B69.A4.B$147.A65.2B4.A$147.2A65.B.AB2A$78.2AB63.A$77.AB.A60.2CB
2.A$75.A3.BA65.2A$75.A3$75.B$75.A3$392.A$389.A2.2A$389.A3.A$393.2AB$
390.A3.2A$394.BA$248.2B$171.B77.2B138.3A$168.B2.2B77.B139.2A$168.B3.B
217.BA$169.B$165.2CA.B82.2B129.C$167.A85.2B$165.2CA79.B2.B134.A$249.A
135.B24.B$248.B2.3B153.B2.2B$164.B.2A2.B240.B$166.C.A2B76.BAB163.AB$
165.2A2.B78.B.B158.B3.2A$168.A3.CA72.B2.2A162.B$172.2C73.3AB160.BAB$
247.2B163.2A5$158.B$157.2B4.2C$157.B5.CA81.C$157.B3.C.CA79.C$159.3B2.
2C79.B$160.2C2.CA$244.2C7$203.BC$200.B2C2B$200.2B2CB$201.B81.B150.2AB
$195.C3.B80.B2.2B149.B2A$196.B2C2B79.B3.B149.2B$190.ACA3.2B2CB231.BA.
B$195.2CB81.B2.B4.2BC141.A3.A$277.B9.C.B141.C.AB4.2B$277.B10.CB140.C
9.2B$278.B2.B.C157.B$203.C$200.C2.2C$200.2C2.C$201.C$199.C$186.A9.C2.
2C$186.A9.2C2.C$188.C8.C$186.2BC2.A$184.2B.CB$191.C$184.B6.C.C$184.B
6.3B3$190.2B$190.A116.2BC144.2A$307.C2B145.2A6.2B$307.2C147.A7.2B$
306.2BC$303.2B2.2B148.2B3.2B$227.2B74.C2B157.2B$224.B3.2B73.2C154.A3B
$222.B79.2BC151.2B$220.B.B79.C2B152.B.2A.B$220.A3.B2.2B73.C2.C$220.2B
$219.3B$221.A81.A$222.A80.C142.2C$303.A143.2C$219.A11.2B215.C$232.2B
2$230.2B$219.2B10.2B$230.2B$217.C3.C2.2A.A.2B210.C$215.B6.BC.3A.B211.
B2A$215.B.B.C2.B2.A217.CA2$220.2BAB$221.B4$335.B$332.B2.2B$332.B2$
334.2B$337.A$334.A2.2A$334.A$328.2C.A$328.C7.2A$332.A$322.B.B4.C$261.
AB$261.2A58.C3.C$261.BA58.C3.C2B$325.B$255.A68.A3B$255.A7.AB$255.3A5.
2A$252.B$252.B.B$251.B4.B$251.B2.3A$250.2B.B.2B$250.B2.A67.B.B$253.A
67.B.B42.BC$248.B2.B.A67.3A39.B2C2B$247.B2.A111.C2B.CB$247.B75.A39.B.
C4.2A$248.3B70.A31.B10.2B5.2A$364.CB6.A$357.B2$373.2C$369.C4.2C$368.C
6.C2$374.C$374.C4$294.A$291.A2.2A$291.A$292.B$293.2A$288.AB$288.A.B$
288.B2A2$284.AB$284.A.B$284.B2A2$280.AB$280.A.B$280.B2A3$277.C.2A$
279.3CA$275.BAB4.C$275.2A4.AC8$269.A$267.B.B$267.2B55.B$321.B2.2B$
321.B3.B2$320.B3.B$320.2B2.B3.2C$321.B7.2C$321.B.B$321.B.B3.C$321.B.B
.C.3C$323.C2.BC$324.2B2C$324.C$319.B$319.B$315.2A.2B$318.B$317.2A$
317.2C$317.C$314.B2.C$301.2A$301.BA2$310.2A$298.AB$298.2AB.B$298.BAB.
A12$364.2A$365.2A$366.A$362.B$361.2AB$361.BA3$357.2A$357.BA3.B2.2BC$
365.C2B$358.B$353.2A3.B$353.BA6.B.B$361.B.B3$357.2B$357.B2.2B$357.B.
2AB$358.B$353.2BC$353.C2B3$352.B$350.C$351.A6$330.2AB$330.B2A$330.2B$
329.2AB$329.B2A3$320.2AB$320.B.A$321.BA!

Some oscillators (mostly natural):

Code: Select all

x = 183, y = 38, rule = GliderWorld
5$36.2AB3.B2A$36.B.A3.A.B$37.BA3.AB$34.A11.A$35.A9.A17.A3.A3.A$60.2C
2.2C2.2C2.2C26.B11.C.2B12.C$9.A12.2A36.2C2.2C2.2C2.2C10.B14.BAB11.B.B
10.CB$8.CA11.A45.A2.A11.A29.B.B24.C10.B10.A.A$9.A10.A37.A24.C16.BAB9.
2B12.CB11.CB9.AB10.2A9.C.A$20.A35.2C43.B26.C10.C10.BA10.2A9.C$35.A9.A
10.2C93.B9.A.A9.B.2A$34.A11.A$37.BA3.AB$36.B.A3.A.B$36.2AB3.B2A!

Still lifes are the same as in Life (in 3 different color phases).

The most common rake:

Code: Select all

x = 12, y = 14, rule = GliderWorld
2$7.AB$7.2A$6.B$4.2B$5.B!

Some other rakes:

Code: Select all

x = 113, y = 141, rule = GliderWorld
4$13.C$10.C2.2C$10.C$11.A$12.2C$7.CA$7.C.A$7.A2C3$8.2CA$8.A.C$9.AC9$
33.AB$33.2A$33.BA2$29.AB$29.4A.2A$29.B2A3.2A$31.A$34.A$29.A4.2A$29.A$
29.A$29.2A$30.2A11$56.2C$57.2C$58.C$54.A$53.2CA$53.AC3$49.2C$49.AC2$
53.2BC$53.C.B$54.CB14$77.BC$77.2B$77.CB$74.2C$73.A6.2BC$73.A2C4.C.B$
81.CB13$94.2C$95.2C$96.C3$97.2A$98.2A$94.C2$93.2A2.2A$94.2A!

Code: Select all

x = 70, y = 40, rule = GliderWorld
6$26.2C$23.B.C.2C$11.BA10.B5.A$11.2A11.B.B2.2CA$11.B15.C$8.A.B23.2B$
8.BA17.C2.B$10.A13.2B.C4.B$6.2A19.C2.C.B2.2B$6.BA21.3CA2.B$10.2C19.C$
10.AC15.2C$27.C2.2C$30.C!

Code: Select all

x = 17, y = 30, rule = GliderWorld
2$3.A$2.2A.C$7.CAC$4.C.B2.C$5.B.B2$5.3C6$14.BA$14.2A$14.AB3$13.AC$12.
A.C$12.2CA!

Examples of complex emerging natural patterns:

Code: Select all

x = 16, y = 17, rule = GliderWorld
.A5.A.A2.3A$2.4A.A2.A.2A$A5.A3.A2.3A$.A3.A.3A.A2.2A$A2.4A.3A3.2A$.A.
2A4.A.2A2.A$.A2.A2.2A4.2A$.A.A.A2.3A2.A.A$.4A.4A2.2A.A$3A.A2.A6.A$.A.
2A.2A.A.2A.2A$2.A.A.A2.2A.A.2A$2A2.A.A.3A.2A$.6A4.3A.A$.A.2A.3A.2A.2A
$2.2A.4A2.3A.A!

Code: Select all

x = 513, y = 833, rule = GliderWorld
448$128.A.A3.A.A.A.A$129.3A.A.2A.3A.A$129.4A2.2A4.A.A$128.2A2.2A2.A3.
A2.A$128.A.2A2.A4.A.2A$128.2A2.2A2.A3.A$128.A3.2A2.6A.A$128.A4.2A.3A
2.A.A$129.4A5.A3.A$128.2A5.A.2A.3A$129.2A4.A.3A.A$129.A.A.A2.2A.5A$
128.A2.A3.2A2.5A$130.A2.2A2.2A2.A.A$129.2A4.5A3.A$129.3A.A3.A.A.A.A!

A relatively common messy breeder:

Code: Select all

x = 27, y = 33, rule = GliderWorld
6$10.2A$9.2A$13.A$14.A2C$10.2A2.2C2.A$14.A$7.A2C2.A$7.C.A7.A$7.CA2.C
2.AC2.A$11.B2.A.B4.2A$12.A.A.2CA$16.A2.A$14.A7.2A$14.A6.2A!

[FWKnightship]

P2,P4,P6,P12,P24:

Code: Select all

x = 53, y = 15, rule = GliderWorld
2.B19.A$.B.AB7.3C8.B9.CA10.B3.B$.A3.B7.B7.C12.CA6.B2.2B.2B2.B$B3.A30.
C6.B3.B.B3.B$.BA.B$3.B$44.B5.B$23.C20.B5.B$21.C.C11.A$25.C$19.2C12.2A
7.B3.B.B3.B$25.2C8.2A5.B2.2B.2B2.B$20.C24.B3.B$22.C.C9.A$22.C!

EDIT:P62,P96,P120,P168:

Code: Select all

x = 277, y = 17, rule = GliderWorld
2A.A19.A.2A$A2.2A17.2A2.A2$.A23.A109.3A21.3A$138.A19.A$58.2B40.2B36.A
19.A$55.2B2.2B38.2B2.2B29.2A2.A19.A2.2A32.2B77.2B$135.A25.A34.2B75.2B
2$135.A25.A32.2B79.2B$134.2A2.A19.A2.2A$138.A19.A35.2B79.2B$55.2B2.2B
38.2B2.2B33.A19.A$.A23.A32.2B40.2B33.3A21.3A34.2B75.2B$195.2B77.2B$A
2.2A17.2A2.A$2A.A19.A.2A!

[PHPBB12345]

P2,P4,P6,P12,P24:

Code: Select all

x = 53, y = 15, rule = GliderWorld
2.B19.A$.B.AB7.3C8.B9.CA10.B3.B$.A3.B7.B7.C12.CA6.B2.2B.2B2.B$B3.A30.
C6.B3.B.B3.B$.BA.B$3.B$44.B5.B$23.C20.B5.B$21.C.C11.A$25.C$19.2C12.2A
7.B3.B.B3.B$25.2C8.2A5.B2.2B.2B2.B$20.C24.B3.B$22.C.C9.A$22.C!

EDIT:P62,P96,P120,P168:

Code: Select all

x = 277, y = 17, rule = GliderWorld
2A.A19.A.2A$A2.2A17.2A2.A2$.A23.A109.3A21.3A$138.A19.A$58.2B40.2B36.A
19.A$55.2B2.2B38.2B2.2B29.2A2.A19.A2.2A32.2B77.2B$135.A25.A34.2B75.2B
2$135.A25.A32.2B79.2B$134.2A2.A19.A2.2A$138.A19.A35.2B79.2B$55.2B2.2B
38.2B2.2B33.A19.A$.A23.A32.2B40.2B33.3A21.3A34.2B75.2B$195.2B77.2B$A
2.2A17.2A2.A$2A.A19.A.2A!

Are these adjustable?