3-color immigration

[Gliderstorm]

Immigration can work fairly with three colors:

Code: Select all

@RULE Immigration3
@TABLE
n_states:8
neighborhood:Moore
symmetries:permute


0, 1,1,1,0,0,0,0,0, 1
0, 2,2,2,0,0,0,0,0, 2
0, 3,3,3,0,0,0,0,0, 3
0, 4,4,4,0,0,0,0,0, 4


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


0, 1,2,3,0,0,0,0,0, 4

0, 1,2,4,0,0,0,0,0, 4
0, 1,3,4,0,0,0,0,0, 4
0, 2,3,4,0,0,0,0,0, 4
0, 2,4,4,0,0,0,0,0, 2
0, 3,4,4,0,0,0,0,0, 3
0, 1,4,4,0,0,0,0,0, 1
0, 2,2,4,0,0,0,0,0, 2
0, 3,3,4,0,0,0,0,0, 3
0, 1,1,4,0,0,0,0,0, 1

var s1 = {1,2,3,4}
var s2 = {1,2,3,4}
var s3 = {1,2,3,4}
var s4 = {1,2,3,4}
var s5 = {1,2,3,4}
var s6 = {1,2,3,4}
var s7 = {1,2,3,4}
var s8 = {1,2,3,4}
var s0 = {1,2,3,4}

s0, 0,0,0,0,0,0,0,0, 0
s0, s1,0,0,0,0,0,0,0, 0
s0, s1,s2,s3,s4,0,0,0,0, 0
s0, s1,s2,s3,s4,s5,0,0,0, 0
s0, s1,s2,s3,s4,s5,s6,0,0, 0
s0, s1,s2,s3,s4,s5,s6,s7,0, 0
s0, s1,s2,s3,s4,s5,s6,s7,s8, 0

var a1 = {0,1,2,3,4,5,6,7}
var a2 = {0,1,2,3,4,5,6,7}
var a3 = {0,1,2,3,4,5,6,7}
var a4 = {0,1,2,3,4,5,6,7}
var a5 = {0,1,2,3,4,5,6,7}
var a6 = {0,1,2,3,4,5,6,7}
var a7 = {0,1,2,3,4,5,6,7}
var a8 = {0,1,2,3,4,5,6,7}
var a0 = {0,1,2,3,4,5,6,7}

var w1 = {5,6,7}
var w2 = {5,6,7}
var w3 = {5,6,7}

0, w1,0,0,0,0,0,0,0, 4
0, w1,w2,0,0,0,0,0,0, 4
0, w1,w2,w3,0,0,0,0,0, 4

4, w1,w2,w3,a3,a4,a5,a6,a7, 0

@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 255 255 255
5 128 128 128
6 96 128 128
7 128 96 128

But what if all three colors meet? They make a colorless cell. In practice, colorless cells are rarely formed and very short-lived. Colorless cells are only created when no color has a majority over the other colors. This happens in only five cases (C=colorless): RGB, CCC, CRG, CRB, CGB. Three-way boundaries are very rare. A two-way boundary between, say an R and G region, is not a refuge for C cells for very long: they will quickly die out and then it is ordinary two-color life.

Here is an example three-color linepuffer. It's hard to notice the colorless cells at all despite close-mingling of all three colors.

Code: Select all

#CXRLE Pos=-7,0
x = 39, y = 156, rule = Immigration3
25.A$25.4A$12.A.A12.2A$12.A2.A14.A$15.2A10.4A$17.A13.A$15.4A8.A2.3A$
14.A4.A9.3A$16.A2.A10.A$16.A2.A5.A.3A$18.A6.2A2.A$12.A.4A8.3A$12.A3.A
9.A$15.A12.A$13.A.A10.A.A$29.A$14.3A9.A.A$15.2A11.A$14.3A9.A$26.3A$
13.A.A9.2A2.A$15.A9.A.3A$12.A3.A13.A$12.A.4A11.3A$18.A8.A2.3A$16.A2.A
11.A$16.A2.A7.4A$14.A4.A10.A$15.4A8.2A$17.A7.4A2.A.A$15.2A8.A5.A2.A$
12.A2.A7.A.A8.2A$12.A.A8.A12.A$21.A2.2A8.4A$9.2A.A9.3A8.A4.A$12.A7.A.
A12.A2.A$9.A.2A7.A14.A2.A$9.A9.2A16.A$7.A7.A.3A11.A.4A$8.A5.A.2A13.A
3.A$8.A5.2A18.A$8.B.A2.2A17.A.A$8.B.A.2A$8.C24.3A$8.C.A.2A20.2A$8.A.A
2.2A5.A.A4.A.A4.2A$8.A5.2A.2A.A2.A2.A2.A.5A$8.B5.2A7.2A3.A4.A$8.B.A2.
2A5.A6.A7.A$8.C.A.2A6.A.5A6.A.A$8.C8.2A17.A$8.A.A.2A6.A.5A6.A.A$8.A.A
2.2A5.A6.A7.A$8.B5.2A7.2A3.A4.A$8.B5.2A.2A.A2.A2.A2.A.5A$8.C.A2.2A5.A
.A4.A.A4.2A$8.C.A.2A20.2A$8.A24.3A$8.A.A.2A$8.B.A2.2A17.A.A$8.B5.2A
18.A$8.C.A2.A.2A14.A3.A$2D6.C.A.3A2.A13.A.4A$2D6.A8.A19.A$8.A.A.3A2.A
17.A2.A$8.B.A2.A.2A18.A2.A$8.B5.2A17.A4.A$8.C.A2.2A19.4A$8.C.A.2A22.A
$8.A25.2A$8.A.A.2A17.A2.A$8.B.A2.2A16.A.A$8.B5.2A$8.C.A2.A.2A$8.C.A.
3A2.A$8.A8.A13.A.A$8.A.A.3A2.A13.A2.A$8.B.A2.A.2A17.2A$8.B5.2A20.A$8.
C.A2.2A19.4A$8.C.A.2A19.A4.A$8.A26.A2.A$8.A.A.2A21.A2.A$8.B.A2.2A22.A
$8.B5.2A15.A.4A$8.C.A2.A.2A14.A3.A$8.C.A.3A2.A16.A$8.A8.A14.A.A$8.A.A
.3A2.A$8.B.A2.A.2A16.3A$8.B5.2A18.2A$8.C.A2.2A5.A.A4.A.A4.2A$8.C.A.2A
3.2A.A2.A2.A2.A.5A$8.A14.2A3.A4.A$8.A.A.2A6.A6.A7.A$8.B.A2.2A5.A.5A6.
A.A$8.B5.2A.2A17.A$8.C5.2A4.A.5A6.A.A$8.C.A2.2A5.A6.A7.A$8.A.A.2A9.2A
3.A4.A$8.A8.2A.A2.A2.A2.A.5A$8.B.A.2A6.A.A4.A.A4.2A$8.B.A2.2A19.2A$8.
C5.2A17.3A$8.C.A2.A.2A$8.A.A.3A2.A14.A.A$8.A8.A16.A$8.B.A.3A2.A13.A3.
A$8.B.A2.A.2A14.A.4A$8.C5.2A21.A$8.C.A2.2A20.A2.A$8.A.A.2A21.A2.A$8.A
24.A4.A$8.B.A.2A20.4A$8.B.A2.2A21.A$8.C5.2A18.2A$8.C5.A.2A13.A2.A$7.A
7.A.3A11.A.A$9.A9.2A$9.A.2A7.A$12.A7.A.A$9.2A.A9.3A$21.A2.2A$12.A.A8.
A$12.A2.A7.A.A$15.2A8.A$17.A7.4A$15.4A8.2A$14.A4.A10.A$16.A2.A7.4A$
16.A2.A11.A$18.A8.A2.3A$12.A.4A11.3A$12.A3.A13.A$15.A9.A.3A$13.A.A9.
2A2.A$26.3A$14.3A9.A$15.2A11.A$14.3A9.A.A$29.A$13.A.A10.A.A$15.A12.A$
12.A3.A9.A$12.A.4A8.3A$18.A6.2A2.A$16.A2.A5.A.3A$16.A2.A10.A$14.A4.A
9.3A$15.4A8.A2.3A$17.A13.A$15.2A10.4A$12.A2.A14.A$12.A.A12.2A$25.4A$
25.A!

[pzq_alex]

(Lifeviewer waiting on wiki approval to upload rule)

Done!

[Gliderstorm]

Thanks!

[toroidalet]

That's a nice solution to the 3-color Immigration problem, and better than the one I tried{a}. Here are some new spaceships using colorless cells (there don't seem to be any tricolor gliders):

Code: Select all

x = 16, y = 51, rule = Immigration3
11.B2.B$15.B$11.A3.D$12.4A7$11.A2.D$15.D$11.A3.D$12.A3D5$11.A2.D$15.D
$11.A3.D$12.2A2D3$.A$2.D$3D$11.A2.A$15.D$11.A3.D$12.2A2D7$11.A2.B$15.
D$11.A3.D$12.2A2D7$11.D2.B$15.D$11.C3.D$12.2C2D!

This idea naturally generalizes to Immigration for any rule, which gives us such wonders as Immigration Seeds:

Code: Select all

@RULE immigrationseeds
@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

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

a,b,c,d,e,f,g,h,i,0

Code: Select all

x = 122, y = 95, rule = immigrationseeds
.B8.AB.CAB2CB.2C2.2C2.B2.C2.C.CB2.C.C2.2B.AC.B2.B2.B2.C3.CAB.A.BA.2A
3.BC.C2.B3.ACA.C$2.A.A5.B2.BCBC3.B.ABC3.A.CB.A2.C.B.2B.C.A2C.AC.A2.A.
2ACB.BAB.BA2.CB.AB2.CAB.2C.CA2C2A.B$4.AC3.2AB2.2B.A.B5.2C2.BC.A.A2CBC
B.2BA2.A.A2B3.A2.2A2C2.ABCB.C4.BAB.A2.A.A2.C.B.CB$.A.C2A3.C3.CA3.B2A
3B2.C.A4.AB.A2C.BCB.C2.ACABC.A.C6.BC2.ACB2.BC.A2BC2BC3ACB.AC.ABA$.CB
2.A6.A2.C2.BAC3.A.A4.C3.B.2A5.BC.BA2.BA2C2B.C.C.B2.C2.B.B2.2C.A2.C.C
2.A.A.CB.C$B.B2.A2.3BA.AC.BC3ABABCA2BAC2.AC.2A3.B3.A3.C.3A2.A.A.B.CBC
3.CB.B3.B.C2BCACBA2.A2.B2.A$.2B2.AC2A4BC.C.BACABCB2.C5.B3.C3.C3.3ACB
5.2BA2C2.ACB2CB.B.2BCA2.ABC.B.AC.A.A$.CB.ACBC2A2C4.AB2.B.2AC.AC2.A5.
2A3.BACA3C2.A.CA.A2.ACB3.BAB.A.A5.3AC.B.C2.2C2B2.C$5.2BABCB2C7.B.CBC.
A3.AB2A.B.B.CA2.B2CB.A2B.ABC.2ACB2.A.2BC.B4.A2.C.2A2.2AB3.C2.BA$3.CBA
2.B.2C.CB2ABA2.B.CB.C.B2.2C4.C9.ACBAB2.A2CA3B.2C.B.CB.2C.ABC2.CB.B.CA
2.C2B.A$2.A2.BAB.C3.CA2B.3C2.C4.2B3.C.C4.2BCB6.BA.A.C.B.2C.ABCB2.B.A.
C.A.C.A.A5.A4.CA$2.A6.A.2A.2B.C2.B3.B.A3.BC3.ACAC2.CA.3C2.A.BA3B2.AC.
A.C2BC2.C.A.A.CA2.C.C3.4A.A$.C.CA.C.B2ACB.C.B2C.A2.2AC2.B.A.B2C2B2CB
3.A6.A2.CA2.A3.2B.A.BC2.C3.B2.B3.2C.2A3.C.C$4.B2.C4.C.C.CB6.C8.A2.C2.
CA2BA4.CB2.2CA4.C.C.C.C.BA3C.BCB.B5.AB.B2.A.2B$3BA.2A3.C.B2C2.A2.CB3.
2C.C2.A4.A2.A.A6.A2B.AC.3B2.A.A2.2AB2.2A5.A3.2A6.2BAC$2.BC.B.C4.AC.A
7.3A2.A.C.C4.2A.C.A2.AB3.C3.B.AB4.A.B2.B2ABC.A.A.B.CACB.AB3C.2BC$.ACA
.C.A4.CBA2.3C.B.B.2B.C2BCB.B4.A2BAB6.2C.B2.AB3.B2.B.A.B.C2.C2.2C2.A2B
.C2.2C.B$2.2C5.C.BC2.B.BC3.B.C.AB.A.CA2.B.C2A3.B.AB3.3ABA4.2AB.2C.C2.
AB.2AC.CA.2C2AC.B.C2.2B$C.A3.AC3.CBA.A2.3C2.AB.B2.B.C.C3.B.C.B4.BCB2.
C.3BABA.ACA.B3.C2.A.C.B.C.2CABC4.C.C.C$BAB.2CB2.3BAB2C2.2AB2.C3.A.B2.
ABAB.B.A2C.2A2B2.CB5.A2C2.CBCA.B.A2.BC4B3.A2.CB2.CB2.2A$2B3.A.C.2B.2A
2.CBA2B.AC.B2A2.A3.CACBC.A3.C.B2.B.C2.A5.B2.CA.B.AC2B3.2A3.CA2CB2.CBC
B$.A2.A.BC2.B.A2CA4.C.BA.2B.B2.BA2.2C.C2.AC.A4.A4.3C2.AC2BC.BCBA.ACA
4.ACBC4.B2A3.B$C3.AC.C.AB2.B.B.2ACB2.AC.2B5.A3C.C.CB.2A.B3.A.A2.3B5.C
.C2A.CB3.C.A.A4.CBABA3.C$C4.C.2BCAC4.BCA2C.C4.CB2CACBC4.C.ABA.2ABC.A
2.ACB3.C.CAC4.3A3.A.2C4.C.A2.B2.A$.C2.CACA2.C.2A2.A2.C2BCB2C.2CAB2.C.
2C3ACA4.B2.B6.B.A2C4.A.A2CB2.2B2.B.C2.A2.A.A.AC.A$3.A.2AB.BC4.AC.B2C.
C.B.2C.A.CABC2.ACB.C.CA4.A.B.A4.BCBC3.C2.BA2.A.CA2C.CA5.B.CBC.B$3.AC.
A3.A3.2BA.A4.AC3.B3A4.BC3.C.A2.B3.2AC2.CBC4.B4.C2AC.A2.CABA.CB.C2.A4.
B$.2BA2.A2.B.A.B2C2.2A4.C2.B2.ABCAC2A.C.2CBC2.3A4.A2B.AC6.B3.BC.A.A2.
BCB2.BC3.AB2.AB$3.4C.2B.CA3.A2.B.2A3.C2.B4AB4.A2.ABABA2.A.C.B3.A.AB.
2B2.AB.2C2.2AC.C.2C.BA2.B.B2.BA$AC2A.A2BAB4.ACA2.BC2.A3.2A2.C.2BAB2.
2AB3.C3.BAC3.C2.A.CB2CA5.AB.A2.B.2CB4.CAB2C$2CAB.C2A2BA.C.A.C3.C2.A5.
B.2B3C2BCBCB2A2.C2.2AC.ABC5.B3.2A.A2.A2.B.B2AB.A2.BAC.A2BA$4.2B2.B2.A
2.A.B3.C4.B4.CB.AC3.C.C.A3.CA.AC.A4.A.B2.C3.AC2.2BAB2AC.2A.A3CA$2.A.A
2CB.B.BA4.3A4.C2.2C.2A.C2A6.BCB2.A2.A4.2BA5.AB2CB.C.CA3.CB2.B2.B.B2.B
C$B2.AC.A2BA.A7.B2.A.C4.B3.B.B.ACA5.B.A3.2A3.A2.B.A3.BA4.C.BC2.AB.2CA
.2AC.BA2.A$A2.B5.2AC4.2B.C2BC3.A3C.BA3.A.C.A.A5.2BA2.2A2.AC.3B2.BCABC
A2.C.B2.AC3.A.BC3.CBC$2A.B.2C.B.CBCA2.A.A2.CA2.A2.2A.A.B.B3.A.BAB.B4.
BCA.2AB3.C.A2.CACB2.BCAB2.A2.2C.CB.2BC2.BC$3.A.C.AC5.3C.2CB.CA2.A2.B
5.2A.A3.A8.C.2CA.B.B4.B.2A.2AB.C3A2B.B.4ABA.AC.C$2.BC4.2BA2.A.C.BA2.A
3.BCA2.AC2.A2.B.A2.B.B6.B.BC2B4.BC2BA2.ABA3.C2A3.BCB.C.CA3.B$AC2.B.C
4.A.B.C.C3.A.BCA.CBC.AC.B2.AB3.2C2.A2CB.C2.ABC4.B2ACAB.ABABCBAC2.C.A.
A.A2C.BA.A$A.CBA2CA.CAC3.CA2.B3.ACA.C.C.A.2AC.B4.BA.C.BC.A2.C2.AB.A.
2A2.A4.C5.B2.ABAB2.AC3.BCB$B.A2.2AB2.BC2A3.B3.ACAB.CA.AB4.CA.C7.CA2BA
.B5.C.CA.B.2CB.B2.C3A3.2A2C.A2.B.2C28.C.C$CBC2.A.A.2C3A4.B4.AB.AC.CB.
A2B3.C.A2.2C3.C3.A2.A.C.B2.CB2A2.C2AB2AC4.A2C2.2B2.C2BC29.C$C.C.A.CA.
C.B2ACB2.B.C.2C2B.BC.A.A.B.C.AC2.2C6.CABCA.CA2CA3.CBCAB.A.CB4.C3.2B.C
.B.AB.B$C.C.C5.CA.B.AC.B.AB.A2.C.A3.A.2CA3.CB.CABA.B.B.A.A2.2AB2.C2A
2.AC.C.C.2BC.2B.2C.CB.2CB$ABA.2CA3.A.C3.A.A5.C.BA2.2A4.AC.B2.BC2.B7.B
2CAC8.4A.AB.2CA.C2.CA2.BCBA$A4.A.B.B.AC2.A.C.B.B4.C2.C3.A3.B.B.C2.2B
4.2B.BAB2.2AC.CB.B3C.2C4.BC2.BCA2.BABA$2CBA2.BCB2.C.C4.CA.ACA.C3.B2C
3ACA2B.A.C.CB3.ACA4.A.BA.B.CBC.A2.A2.BAB2C.CA3.A2.C2.A$2.2C.C5.B5.BA.
A.C2.2CB4.ABC2.BCB2.C.BAC2.CA3.B.A.B2A2.2C3.B2.A3.B.2BC3.CAC2.AB2.A$
2.C.B4.C3A3.BC.BA.CABA2.2A.A2.2A4.BCA2C3.A3BACA3.CB.2C2.A2B2.BC.AC6.
2B.BC.C2.BCB$A3.BAC2.BC.CB2.B.ABC2AC3.B.BACB.2B.CABA4.ACA2.C.CB.CABAB
AC.C2.C.BA.BC3.CB.2C3.C3.2AB$.C.AB4AC2BA2.C.B.B2.ACBA.3A4.AB2.A3.C3.C
2.B4.2CBCB2.B2.B2A.A3.2A2.B2C5.B.3B2.B$A2.C3.AC2.ACA.B4.B.BCB.C.BA.C.
CA.A4.2BCB.CA.B3.C3.CBA2.3BCBA.B.B3.B.B.A2.BA.B.2B2.A$ABCB.C2.C3.B2.B
3.A.C3.C.CB3.B3.B.2CB.A3.C.B.B2.2CBC.A2.B.BC.B.BCA2.CBA2.A2.CB2.AC.A.
2B$C.A.C2.B2A2.AB2A.CBC.A.2AC8.C.BA2.CB.C.A.B5.B.CB2.BA6.B.A2C.2CA.2C
.A.B5.ACAC$2A2C.CA3.C3.2C.A3.2C.A2.A.C.A.BA.2ABABCA4.C.AB2AB2.B.AC.B
2.BC.C5.B.AC.A3.B2.A2CB3.C$.2C3.A.BAC2.A.CA.C2.A.B2CB3CB2.C6.2B2.CA.
4A5.AC.B3.A4.C.A.C4.B.CBAC.ABA2.A2C$B.BCB2.C.A.2A2.B.C2.A.C2BA.B2.AB
2C2A3.B3.AB3.A.A2.A.B.CA.B5.A.C.CB2.B.A2.A2.C2.C.C.ABAC$C2.CA2.A.A4.C
.B.A.A3.BCBA2.B2.B4C.B3.2C7.B2.A2.CA3.A2C3.3B.2A.2C4.AC.2ACA.3A$2BC3B
2.A.CB3.2B.B.BC.C.2BCAB2.C3.2A3.C.3B.A.AB.A.CA.BC3.B2.B.B2.B.B.A3.B2A
.A.BCB.BA.B$A3.B3.B2.AB2.2C2.A.C.3B.A.BCA.A.C5.ABC.ACA2C.A.C.3C.2AB.A
B.A2.AB3.C2BA2.C.2BA2C3.BCB$2B.B2.AC.CAB.C3.CB.C3.CAC2B.CA2.A.3C2.BCB
A.2CAB.C.AC4.C2.A2B4CA.CB.CB7.C3.C3.2C$.B.B.A2.C.C2.B2A.AB2.A.C.2BA.C
2.ACB2A.2CBABCB.C.B2AC2.BCA2.AC3.2CBCA.C.B2.2C2.A.B3A.B2.2B$B.AB3.B2.
C2.C.A2B.B.C2.2A2B.A.B3.C2.A2.A.A2C.2A5.B.C6.2B.C.A.A2.A3.BA.B2.A2C2.
2A.C$.C.2B3.AB5.A2.AB5.B.CA4.BC6.A.A.2C.3A.CA.A.C.B.3AC.C2.CB.BA2B5.C
2.C.ACA$2.2A2.B.BA.BA2.2B4.CAC.C2.C4.CB2.AB2.2B3.AB2.BA.B4.2B.AB.A4.
2B2.2B2.AB.ABC2B.CA.C2.C$2.2A.C.AB2.CBC.B2.AB.3C3.A.2B.2C.C2.2BCA.AB.
A5.BAB2.2C.2B3.CAC.BACB.AB.2C.2BC3.B.2A.2C$B2CA2C3.2A4B.AB.CB2.C.C3.B
.BC2.C2B.A.CAC3.CB.C.2C.ACB.A3.C2.2C2.CB4.C.BA.A3CBC3A$.3C.2BA10.BCA
7.A2.A2.2B2.CA2.ACA2.A2CAC2A.BC2.CB3.A.B.C.B.C4.AC4.C.B.B3CB$2.A2.2B.
B5.CB6.CBCA.B.C.A3B.C2B.BA2.A.C.CB2.CBA2.A2.2A2.CB.ACB2A2.B3.C2.CA.B.
B.2CBA$.B3.CBAB4.C.A.BCA.A.2CB.BC.C2.C.BCA.C.C3.2ABC2B6.A3.2A2.B.2B2.
C2.A.C.CBCA2.B4.ACBC$2BA4.2B.CBA.C2.C.A.A2.CA3.2B3.B3.C.A2.C.B4.A3BA.
A2.AB.2B10.2AC2.2A.C2.A2B.CA$2.CAC.C2.2AC2B.C.ACB.CAC2.2B2.2A.CA.A4.A
.A.3BCAC5.AB.A.B4.C.2AB.B.AB2.B.A3.C3.C.BC$8.B.C2.B2.A2C2.A.C.B.ACA3.
B2.AC.BC.2C2.A2.B.B.2ABA2.A.B.C.ACBAB.A6.C.CA.C.CA2B2.B$C.2CB3.2C2BC.
C.A4.B.A.CA3C.C2.B3.B4.A3.ACB2.ACBC5.A2BA5BA2.CA2.C.A.A2C.C4.B$CB2.A
2.A2.2C.2A2B5.CA.2B2.A.C.C.CA2.C.2A2.CBA2.A2.B2.2A.B2.2BA.CB2.B.C2A.B
CA.B2.2CA.C2.A.B$.B3.B5.B3.B3.AC6.BC2.CAC.C2.2A.C.B4.ACB.C3.C2B2AC.2C
.B2C8.C2.C4.C.BC.BCB$A.C5.ABA4.A6.CB3.2A3.CB3CA2CA.C2A4.CB2.B3A3.C.B
4.ABA3.CA.2C2.C.BA.BA3.2AC$BC2.B.A.BACB4.B3.B2.2CB2.2B.B.C.A.A.A3.B2A
B2.C.C2.2C2.3C.2A.B2.C3.A2.A2.AB.C.C3BC.BA$BABC3.C.C2.2C3.AC3.B2.2A.A
C3.BA3.BCA6.C2.CB2.B3.BAB2.CB.A2.3AC6.ABCBCACBA.2CB$BA2.2B.B3A2.C.B3.
B2.C.AC5.A.BA3.BA3.A2.CA2.C.B.B.CB.B2.ACBC.BA2.C5.B4.C.B3.C.BCB$2.B.C
3.A3.A4.C.2B2.ABC2.B2.B4.B3.A.B4.B3.3C2.2CB.CA3.A.C3.BCA2.CA2.A.A.A.C
.A.2AB$A.A.C2.A2.B.B3.2B2.2B3.A.2CBA3.ACAB3.A.CA3.BAC.A2.C.BA.B.CB.A.
BAC3.C.A.B4.C.AC.B.B2.C$2CAC2.C.A3.CA.B.2A2.BCA2.B.A2B.B3.B3.A.C2.C3B
CBA.A2.B.C3.ACB2.B.BA.C8.BC2.B2.A.C$A.C2.BA.C5.C.BA.A.B.A2.AC.A.CB.A.
2ABABA3.C.A3C.2B.CA.A.BA2.C.C.AC.CA.CA.B.A3.C2.A4.B$6.C5.C3.B2.AB.2CB
.B.A.A.CA2BC2B.A.2C2.2C.B2.CB5.C.B.BA.AC2AB3.2C.C.CB.B2.ACB4.B$CB.A2.
2B3.C.A3.C4.C.A.2A.C3.A3.C.ABACA3.B4.CA.A4.C.B4C3.2C.C.2A.2C3.C5.AC$.
B.2ACBA3.AC2.B.C2.BA3.C3.BAC2.A3.BC2.2A.C2.2B.2A2B.A2.A4.BA.ABC2.CBC
2.BA.C3.C3.CA3B$B4.BCA4.B.C3.AC.C2AC2A.2C.ABACB.C3.C7.2A.B7.C.2A2.B2A
.2B3.C2.C.A.A.C4.C.BC$.A2.B4.ACA.C2.B3.C.ABA.A.A.BACAC2.BC.CBC.2C7.A.
A2.C.CABA7.2BC7.2A.AB.BC.B.A$2B.C.CB.B2.3A3.C2.A3.A.C2.A2C3B.2B.A2.2A
.2B2.B8.AC.A2.2A3C.A4.B.BCBC.B.C2.ACA2.B$.A.B.C3.2B2.2BCB5.B3.ACBA2.C
.CA3.A.B2.C4.A2.CAC.A5.A.C2.A5.2C.B7.C.C.A$A3.A2CAB.B3.CA3.B4.A2.AB2.
C3.2BA.A.C.B2.CA.B3.C2.C3.A.BC.2A2.2C4.B2.A2.2C.C.2C.BC.B$2.C3.3B.C2.
B4CB2A.A6.B2.B3.A.2B.C3.C.C2.A2BA2.2A2BCA2.B2.AB.2B.B.ACB2CB2.C.A2.A.
BA$B.B.BCA3.2B.AB3.A2.C.BC2.B3.BC.A2C2.A3.B.C6.B.B.B.2C3.2C.CB.2A4.C.
A2CB.AC7.2C$.B7.2C.2B3.B.AC.ABA2.B4.A.A3.A.2A.BA3.A3.A2.B2.B5.AB.BA.
2B2.C2B3.A2.BC.A2.A.2C!
@RULE immigrationseeds
@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

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

a,b,c,d,e,f,g,h,i,0

Here is a blueprint for synthesizing a colorless glider or a one-colored-cell glider:

Code: Select all

x = 48, y = 15, rule = Immigration3
.2A$.A$8.A$AB6.2A.AD7.2D8.2D2.A7.2D3.C$AC9.AC7.DC8.D.D.2A6.D.A.2C$31.
D3.A7.D2.C$19.B.2B5$20.2D7.2D3.A$20.DC7.D.C.2A$30.C2.A$19.C.2C!

{a}: My solution was to say that if there were 3 colors, the cell "in the middle" would transmit its color. This doesn't generalize to all rules, and is not uniquely determined.

EDIT: 8-glider synthesis of a colorless block:

Code: Select all

x = 120, y = 22, rule = Immigration3
52.B$51.B$51.3B$8.B$7.B$7.3B2$98.A$96.A.A$97.2A$39.B$38.B$3A35.3B28.
2A3.A$2.A67.2A.A.D37.2A$.A23.2A42.A3.B.D33.A2.A2.A$25.2B47.B32.A.A2.A
2.A2.AD$108.2A3.2A3.BD3$35.C$34.2C$34.C.C!

19-glider synthesis of a mostly colorless glider:

Code: Select all

x = 176, y = 45, rule = Immigration3
52.B$51.B$51.3B$8.B$7.B$7.3B91.A$102.A$100.3A21.A3.A17.B.B$67.A54.A.A
2.A.A17.2B25.C$68.A54.2A2.A.A17.B22.A2.C$39.B26.3A50.2A7.A40.D.A.3C$
38.B58.3A18.A.A26.DA2.2B16.2D$3A35.3B28.2A3.A24.A20.A26.AD.2B22.A$2.A
67.2A.A.D22.A3.BD23.BD16.2D5.B21.2A$.A23.2A42.A3.B.D26.AD3.A19.AD16.
2D26.A.A$25.2B47.B31.A$106.3A$127.B$126.B.B2.2A$35.C90.B.B2.A.A$34.2C
67.3B21.B3.A$34.C.C66.B$104.B$134.3A$134.A$135.A4$169.A$168.D$103.A
64.3D$5.2A18.A76.A.A$5.2B17.A.D75.A.A$24.B.D76.A23.DA$25.B101.AD16.A$
68.BD55.2D17.D.A$68.AD32.BD21.2D17.2D$102.AD3$102.B$101.B.B$101.B.B$
102.B!

22-glider synthesis of a completely colorless glider (added 1; it was previously invalid):

Code: Select all

x = 213, y = 44, rule = Immigration3
52.B$51.B$51.3B$8.B$7.B$7.3B2$189.A$67.A120.A$68.A33.A47.A.A35.3A$39.
B26.3A32.A49.2A$38.B62.3A47.A33.A10.A$3A35.3B28.2A3.A111.A3.A5.A.A$2.
A67.2A.A.D23.2A45.A37.3A2.A.A4.2A$.A23.2A42.A3.B.D19.BD.2A47.2A40.A2.
A$25.2B47.B20.AD3.A19.BD24.2A34.A7.2A$120.2A38.2A18.A.A$159.2A20.2A
24.C$121.A33.BD4.A46.C2.D$35.C85.2A32.2D31.BD16.3C.A.D$34.2C84.A.A59.
2A4.2D21.2D$34.C.C87.2A55.A2.A22.C$124.A.A27.A22.2A3.A.A21.2C$124.A
28.2A23.2A3.A22.C.C$153.A.A21.A8$5.2A18.A131.A$5.2B17.A.D129.A.A$24.B
.D129.A2.A$25.B131.2A$68.BD$68.AD24.BD23.BD$94.2A23.2D$155.BD$149.2A
4.2D31.D$148.A2.A35.A.D21.D$149.A.A36.2D22.D$150.A59.3D!

I wonder if you can reduce these using a reverse caber tosser.