Colorised CA

[Schiaparelliorbust]

I'm surprised that there isn't a topic for this. I did some manual searching in Quadlife and Colorised Seeds and found these:

P4605744 gun (I think; I measured its period with an eater anchor at both ends)

Code: Select all

x = 31, y = 18, rule = ColorisedSeeds
4.A6.4A4.4A5.A$3.A23.A$16.B7.2A$3.A23.A$4.A2.2A7.2C5.A2.A.A$12.C$14.A
2.C4.AB.A$.A3.A4.B4.A2C.BC.A.C4.A$B3.A3.B17.C3.B$B3.A3.B17.C3.B$.A3.A
4.C4.2AB.BA.A.C4.A$14.C2.B4.AB.A$12.A$4.A2.2A7.2C5.A2.A.A$3.A23.A$16.
C7.2A$3.A23.A$4.A6.4A4.4A5.A!


Symbiotic elemenatry spaceships and gliders

Code: Select all

x = 81, y = 163, rule = QuadLife
49$37.2BD$39.D$38.D3$37.ABD$39.D$38.D3$37.AD$35.CA.BC$35.CBDA$36.AC4$
37.AD$34.2CA.BC$34.2CBDA$35.CAC4$37.AD$34.3A.BA$34.3ADC$35.2AB4$37.2A
$34.3A.BC$34.2ABAD$35.2AC4$37.2A$33.4A.BD$33.5AC$34.4A4$37.2A$33.4A.B
D$33.3ADAC$34.3AB4$37.2A$33.4A.BD$33.3ABAC$34.3AD4$37.2A$33.4A.BD$33.
3ACAC$34.3AC4$37.2A$33.4A.BD$33.3ACAC$34.3AC4$37.DA$33.4A.BD$33.5AC$
34.4A4$37.DA$33.4A.BD$33.3ACAC$34.3AC4$37.DA$33.2DBA.BD$33.2DC2AC$34.
DB2A4$37.DA$33.2D2B.BD$33.2DC2BC$34.D3B!

Symbiotic HWSS synthesis

Code: Select all

x = 102, y = 66, rule = QuadLife
28$56.D.C$56.DC$57.C6$19.A$17.A.A$18.2A8$27.2A6.2A$28.2A5.A.A$27.A7.A
!

p144 Symbiotic HWSS gun (can probably be minimized)

Code: Select all

x = 402, y = 375, rule = QuadLife
20$100.A$100.3A$103.A$102.2A2$105.A$104.3A$103.A2.2A$103.A3.A$105.A.A
$293.A$102.2A.2A6.A177.3A$104.A6.A3.4A171.A$111.A3.A174.2A$111.A$103.
3A8.A$104.2A6.2A173.3A$104.2A181.A2.A$286.A3.A$286.A.A.2A$119.2A166.
2A.2A$110.2A7.2A155.A11.3A$102.2A6.2A163.A3.3A$101.A8.3A4.6A153.A.5A$
104.A11.A3.A2.A156.A8.A$100.A3.A12.3A2.2A156.2A7.A$97.4A3.A6.A6.A161.
2A7.A$102.A6.2A.2A3.2A169.A$117.2A169.A$108.A.A6.2A$87.A20.A3.A3.3A3.
2A149.2A8.D$87.A20.2A2.A3.3A3.2A149.2A8.D$87.A21.3A4.3A163.D7.2A$87.
2A21.A5.3A152.6A5.D7.2A$90.A26.2A151.A2.A3.A4.D8.A$86.A4.A26.A151.2A
3.2A12.5A.A$91.A6.2A3.A12.A.A.A154.A14.3A3.A$87.3A6.3A4.2A11.2A.A.A
151.A.A5.3D11.A$95.A2.A5.2A6.A6.A.A151.A.A4.2D.2D$95.A7.2A8.A5.2A155.
A3.2D.D.D$95.2A14.3A156.2A4.A4.D3.D20.A$92.2A176.2A4.A4.D2.D20.A.A$
84.2A7.A182.A5.3D$83.2A5.A2.A182.A28.A$84.2A4.3A6.3A171.A2.A28.2A$77.
2A6.A3.2A6.A177.A17.2C7.5A$76.A.A18.A4.A170.A.A.A13.C10.2A.2A$76.A21.
A22.A150.A.A.2A11.2C4.2C8.A$75.2A23.2A12.2A6.A149.A.A7.D6.C6.2C$101.A
11.A.A4.3A150.2A5.2D7.C7.2C$101.A13.A165.2C7.C2.C3.C8.A$101.A190.C8.A
3.A2.A$300.2A7.A$301.2A6.A$293.A8.2A4.2A$292.2A.2A10.A7.2A$292.5A7.2A
9.A.A$105.2A166.D18.2A23.A$79.2A4.2A17.A.A164.2D6.A13.A23.2A$78.A.A4.
2A19.A165.2C4.2A$78.A13.2A184.A.A10.A.A$75.2A.2A11.A2.A197.A$75.2A.A.
A11.3A$67.A10.A.12A$66.A.A9.A.A.8A2.A$79.A5.4A2.2A46.A$68.A27.2A42.A$
67.2A9.A16.A.A40.3A147.A$67.5A5.A2.A4.A11.A189.2A18.2A4.2A$67.2A.2A4.
A3.A4.2A3.A196.A.A17.2A4.A.A$68.A7.A3.2A4.6A208.2A13.A$77.2A.A.A.A7.A
51.2A153.A2.A.A5.2A2.2A.2A$77.3A2.A2.A4.2A.A50.2A153.3A13.A.2A$64.2A
19.A3.2A.3A46.2A159.2A6.4A.A$63.A20.A3.A2.2A2.A44.A.A158.A2.6A3.A.A9.
3A$63.A.2A2.3A19.2A.2A46.A112.D45.2A11.A11.2A$63.A.2A.A.2A22.3A156.2D
42.A27.2A$62.2A3.2A3.A7.A11.A.2A158.2C40.2A28.A$57.2A9.A3.A4.2A.2A9.A
2.A201.A.A7.A.A5.3A5.2A$56.A.A9.A2.A5.5A12.A10.A201.2A4.4A6.A.2A$56.A
13.A9.2A9.A.A6.3A3.A195.3A8.A3.A7.A$55.2A23.A10.A.A5.5A.A196.A2.2A3.A
.A2.2A8.A$92.A8.A200.2A.4A.A3.2A12.A$80.A.A9.2A6.2A150.A46.3A2.3A.A
19.A$81.A12.A5.2A149.2A45.A2.A8.A18.A$93.A157.A.A44.A3.A7.A12.2A3.3A$
297.2A2.A11.A8.2A2.A.A2.A$299.A13.A7.A3.A$300.2A10.2A.A6.4A4.2A3.2A$
98.A189.2A10.3A12.2A5.3A10.A.A$90.2A5.A190.4A.A6.3A9.A24.A$90.2A6.2A
23.2A163.A.A2.3A16.2A23.2A$90.A8.A22.A.A176.A9.2A$86.A.5A5.A.A23.A
112.D54.2A6.A.A8.3A$85.A3.3A6.A.A134.2D55.A6.A$86.A10.A138.2C62.2A$
97.A2.A$96.2A.A$95.3A$96.2A.2A193.2A$96.A2.2A195.A6.A$97.3A75.A94.A
22.A.A6.2A$98.3A75.A31.ADC58.2A23.A$100.2A72.3A30.A2.A58.A.A28.3A2.A.
A$100.A109.D82.3A6.A.4A$101.3A102.A3.A82.3A10.2A$103.A102.A3.A83.2A$
210.A85.A$207.A.A84.A2.2A$80.2A4.2A17.2A186.A3.A$79.A.A4.2A16.A.A187.
A2.A$79.A13.2A11.A187.3A$76.2A.2A11.A2.A$76.2A.A.A11.3A196.2A$79.A.
12A200.A$67.3A9.A.A.8A2.A196.3A$67.2A11.A5.4A2.2A9.3A184.A$68.2A33.A$
68.A27.2A6.A$71.2A22.A.A190.A17.2A4.2A$68.2A.A7.2A5.3A8.A189.2A17.2A
4.A.A$69.A8.2A3.A2.5A196.A.A9.2A13.A$69.A9.3A8.2A206.A2.A.A5.2A2.2A.
2A$81.A2.A4.2A207.3A13.A.2A$83.3A3.A211.2A6.4A.A10.A$61.A3.3A26.A17.
3A185.A2.6A3.A.A10.A$61.A4.A2.A23.3A16.A23.A151.2A10.2A11.A11.A$69.3A
9.A10.2A2.A16.A22.A152.2A33.2A$63.2A2.A3.2A8.A10.A3.A39.A151.A8.A24.A
$58.2A3.2A5.2A7.A.2A9.A.2A40.2A23.2A133.2A23.A4.A$57.A.A18.2A12.2A11.
2A32.A21.A134.A.A5.A.2A4.2A7.A$57.A24.A18.A.4A28.A4.A6.A11.A.A61.2A
78.A2.2A2.A3.2A7.3A$56.2A23.2A16.3A2.A.A33.A5.3A5.2A3.2A62.A79.A6.3A.
A$82.2A9.A42.3A6.A3.2A3.2A69.A77.2A4.3A3.A$81.3A8.A.A6.2A18.3A22.2A4.
3A29.A20.2A5.3A6.5A79.A22.2A$102.A18.A26.2A3.A30.2A20.A8.A4.A58.2A26.
2A22.A$92.A2.A26.A10.3A47.A.A20.A.A3.A2.A5.3A33.A22.2A16.3A20.A3.3A4.
2A$93.A.A55.3A53.2A3.A3.2A6.A31.A.A20.A17.A2.A21.A.3A$117.2A14.A3.2A
74.A4.A2.4A72.A3.A9.3A7.2A3.A2.2A$98.A.A15.A.A13.3A4.2A71.A.A3.A2.A3.
2A4.2A23.A41.4A13.A7.2A4.2A4.A$98.A2.A14.A.A.2A14.2A3.A6.3A62.A4.A3.
3A2.A4.A23.2A33.A8.A9.A4.A17.2A.A$91.A25.A.A.A8.A7.3A5.A64.A4.2A6.A.
2A4.A.A18.5A28.4A3.A20.A21.A$91.2A6.A.A17.A9.A.A7.A6.A4.A59.A3.A8.A8.
2A3.2A5.3A5.2A.2A31.A3.A17.2A23.2A$100.A18.2A7.A.2A15.A63.A3.A7.2A13.
2A4.A2.A8.A36.A17.A$87.A.A2.3A24.3A27.2A61.3A28.2A.2A22.2A18.A8.3A9.A
$87.4A.A26.3A28.A42.2A45.5A26.2A18.2A6.2A10.A$87.2A11.2A12.2A3.3A.A.A
24.A43.A20.2A23.3A16.A10.A27.3A$98.2A.A12.2A3.3A.A26.A41.A22.A25.A16.
3A38.2A$97.A3.A17.2A2.A4.A63.5A14.2A3.3A37.5A3.2A9.2A$97.A2.2A17.2A7.
A68.A13.A6.A34.2A.2A17.A.A15.2A$98.3A18.2A14.A58.3A12.A.A32.A8.A2.A4.
2A9.2A.A.A15.3A$99.A19.A8.A4.A3.4A52.A15.2A32.2A.2A5.3A16.A.A.A16.2A
6.2A$114.2A2.3A3.2A7.A3.A55.4A46.5A13.3A.A8.A17.3A8.A$114.A2.A3.A11.A
57.2A3.A3.2A41.2A20.A7.A2.A23.A$101.2A12.6A15.A53.A2.3A4.2A42.A19.A8.
A26.A3.A$101.A26.2A4.2A54.2A.A75.A3.A26.A3.4A$102.3A12.2A6.A.2A64.A
48.A.A23.A4.A4.2A13.A8.A$104.A12.2A8.A65.2A48.A24.3A2.A4.2A12.4A$265.
A.3A3.A18.A3.A$132.A132.3A6.A.A16.A2.A$131.2A.A66.2A51.A11.A7.A.A16.
3A$124.2A4.2A70.A50.A3.3A5.A2.A5.A$123.A75.3A52.A.5A3.A4.A3.2A3.2A$
126.A72.A58.A10.A2.A3.A2.A$122.A3.A7.2A122.2A4.A8.6A12.2A$119.4A3.A4.
A126.2A4.A4.A22.A$124.A8.A131.A3.A5.2A12.3A$130.A.2A132.2A7.2A12.A$
130.A2.2A$129.A90.3A37.2A$130.2A.2A13.A71.A37.A3.A$148.2A71.A36.A4.A
4.2A$147.A.A113.A4.2A$258.A10.A$134.2A131.5A.A$134.A123.2A3.A4.3A3.A$
135.3A123.A.A9.A$137.A123.A$260.A.2A$259.2A.2A$259.2A.2A4$258.2A$259.
A$256.3A$256.A15$157.A$157.3A$160.A$159.2A95.3A$112.A143.A$112.2A143.
A$111.A.A$160.2A$160.2A$163.2A$163.3A$163.2A9.A$162.2A5.3A3.A$161.3A
4.5A.A$160.A9.A$160.A.A6.2A$160.3A6.2A4$102.2A$101.2A$94.A8.A55.2A6.
3A9.A56.A$94.2A63.2A6.A.A8.A.A53.3A$93.A.A63.A9.A63.A$155.A.5A4.3A11.
A23.2A27.2A$154.A3.3A5.2A11.2A23.A$155.A9.2A12.5A4.2A.A.A8.A.A$164.3A
12.2A.2A9.A3.2A3.2A$165.2A13.A6.A8.3A$168.A.A16.A6.2A$168.A.A17.A7.3A
32.A$170.A18.2A2.2A.3A31.3A$166.A5.A7.A.2A35.2A8.2A2.A$166.A3.2A4.2A.
A4.A34.4A.A4.2A.2A$177.2A6.A33.A.A2.3A2.A2.3A$176.2A7.A6.A37.A.2A$
174.3A2.A9.2A.2A29.2A7.A$120.2A51.A.2A3.2A.2A4.5A29.A4.A3.A$52.2A4.2A
59.2A41.A.A10.A16.2A35.A.A60.3A$51.A.A4.2A16.A44.A40.2A28.A37.A61.A$
51.A13.2A9.2A85.A4.2A11.A111.A$48.2A.2A2.2A5.A.A2.A7.A.A90.A2.6A3.A.A
9.A.A32.A$48.2A.A13.3A101.2A6.4A.A10.A32.A.A$40.A10.A.4A6.2A101.3A13.
A.2A39.A3.A4.A$39.A.A9.A.A3.6A2.A100.A2.A.A5.2A2.2A.2A27.3A9.A7.2A$
52.A11.2A101.2A13.A31.2A8.2A.A$41.A35.2A95.2A4.A.A5.2A23.2A8.3A2.A2.
3A2.A.A$40.2A34.2A75.A.A18.2A4.2A7.A24.A9.2A.2A4.A.4A$40.5A11.2A9.A
10.A74.2A34.A.A18.2A12.A2.2A8.2A$40.2A.2A10.5A7.2A85.A35.2A4.4A3.A.A
5.A.2A10.3A$41.A8.3A2.A4.A5.A.A126.2A2.A2.A3.A6.A12.A$48.2A5.3A2.A
133.2A2.A4.A9.A$56.A2.2A134.A2.A6.2A$57.2A137.2A80.2A$36.2A121.A57.2A
58.A.A$34.2A2.A47.2A50.2A19.A48.2A6.A2.A59.A$34.A2.3A5.2A38.2A20.3A
27.2A5.A.A12.A41.A9.A4.A2.2A6.A82.3A$34.A4.A2.3A8.A11.3A19.A19.2A30.A
4.2A13.2A23.2A15.A6.A3.A2.A2.2A8.A81.A$30.2A3.5A10.2A.2A10.A2.A39.2A
23.2A10.A16.A21.A15.2A.A5.A.A3.4A7.3A82.A$29.A.A5.2A11.5A9.A13.A29.A
24.A24.A4.A18.A.A18.2A$29.A23.2A14.A3.3A3.A31.2A18.A.A29.A6.A4.2A5.2A
16.A133.2A4.2A$28.2A23.A9.A4.A3.5A.A29.2A.A7.A2.2A3.A3.2A26.3A5.4A3.
2A.2A21.2A132.2A4.A.A$63.A10.A34.A7.A2.A.3A.A.2A37.4A4.A2.A20.2A11.A
11.2A101.2A13.A$53.A.A9.A7.2A34.A7.A.A2.3A4.A38.A6.A2.A20.3A9.A.A11.A
100.A2.A2.6A4.A.2A$54.A10.2A6.2A20.2A21.A6.A3.A17.2A27.2A33.A.A2.9A
94.2A5.3A2.7A.A2.A.2A$66.3A25.2A8.A21.3A17.2A7.2A51.2A.A2.A.7A2.3A8.A
82.2A8.9A2.A.A$67.A28.A5.3A21.A13.2A6.A5.A2.A6.A43.2A.A4.6A2.A2.A9.A
90.A11.A.A9.3A$89.2A10.A3.A6.A26.A.A12.A2.A4.4A45.A13.2A8.3A90.2A11.A
11.2A$70.A17.A.A10.A4.3A2.A.A7.A17.A.A.2A9.2A.2A3.4A5.3A37.A.A4.2A
132.2A$69.3A16.A.A.2A7.2A.A.3A.A2.A7.A18.A.A.A11.2A4.A6.A42.2A4.2A
133.A$63.2A6.2A16.A.A.A4.3A2.A3.2A2.A7.A.2A19.A26.A4.A174.2A$63.2A7.A
18.A6.A.A17.2A20.A2.A5.3A18.A89.2A50.2A27.A8.A.2A$63.A10.A14.A2.A5.A
2.A20.A20.A4.A2.A20.2A85.A.A49.A.A26.2A10.A$59.A.5A3.A4.A17.A6.3A19.
2A20.A8.A20.A87.A51.A25.2A.A9.A$58.A3.3A3.A23.A3.A2.3A20.2A13.2A4.A4.
2A23.A71.A82.3A9.A.A$59.A13.A12.2A4.A4.A2.A20.3A13.2A4.A4.2A3.A19.A
72.A81.A12.2A$69.A2.A13.2A4.A3.2A2.2A41.A9.A80.A9.3A82.A20.2A$70.3A
19.A47.A.A8.A81.A.A49.A64.A.A$89.A.A7.2A.2A36.A.A6.3A6.A126.A54.A9.A.
2A$89.A.A18.2A30.A7.2A4.A3.4A44.2A23.A51.A54.A10.2A$91.A7.A6.A.4A25.
2A3.2A4.A.A5.A3.A48.A23.2A24.2A23.2A17.2A34.2A.A8.A10.2A$86.2A3.2A4.
2A5.3A2.A.A25.A2.A3.A3.A7.A52.A.A18.5A16.2A7.A21.A19.A.A10.2A25.2A18.
A.A$86.A2.A3.A2.2A2.A37.6A5.2A8.A50.2A18.2A.2A16.2A7.A.A18.A4.A17.A
10.4A.A18.A24.A$73.2A12.6A3.2A.2A5.2A41.A.A5.2A63.2A9.A27.2A9.2A7.A
33.A.A2.3A16.2A23.2A$73.A22.2A.A7.A32.2A79.2A48.A2.A8.3A52.2A$74.3A
12.2A7.A41.2A80.2A46.2A2.A44.2A5.2A10.3A$76.A12.2A132.A47.2A2.A43.A5.
A.2A$231.A40.4A49.A2.A$231.2A19.2A27.4A41.3A$105.A41.2A5.A.A75.2A8.2A
8.A.A26.A2.2A8.2A7.2A17.2A2.2A$96.A7.A.2A38.A8.2A64.A9.2A8.A.A5.2A.A.
A27.A2.2A6.A.A7.A.A15.3A$96.2A5.2A.2A41.A7.A62.2A.2A18.A5.A.A.A17.3A
8.A2.A9.A4.2A.A.A15.A2.A$103.A2.2A37.A3.A5.A.A62.5A26.A23.A7.2A15.A.A
.A16.2A.A5.A$92.A.A2.3A5.2A35.4A3.A4.2A64.2A29.2A17.A4.A26.A19.2A5.2A
$92.4A.A6.A42.A6.3A64.A29.3A20.A27.2A$92.2A60.A96.3A17.2A29.3A22.3A2.
A.A$100.2A.2A47.A66.A.A29.3A.2A14.A30.3A24.A.4A$102.2A48.A3.2A62.A30.
3A.2A14.A30.3A.2A25.2A$103.A2.A49.2A93.3A17.A22.A7.3A.2A$104.A.A46.A
89.A7.3A39.3A6.3A$154.A76.A10.3A48.A.2A5.3A$154.A3.A71.A3.3A4.A2.2A6.
A33.A$158.A72.A.5A3.A3.A4.2A3.2A24.4A3.A14.A$106.2A49.A77.A3.A3.A.A3.
A6.A27.A3.A12.2A3.2A$106.A51.3A74.2A13.6A32.A7.A3.A6.A$107.3A50.A74.
2A3.2A.2A40.A8.3A4.6A12.2A$109.A132.A9.2A32.2A7.A24.A$252.2A38.A2.A7.
2A12.3A$292.3A8.2A12.A2$239.A49.3A$237.2A.2A3.2A41.A2.A$245.2A41.A7.
2A$236.A.A3.A3.A40.3A8.A$236.A3.A3.5A.A36.A7.A$236.2A2.A4.3A3.A43.A3.
A$237.3A10.A44.A3.4A$238.A58.A$287.2A.A$288.3A$289.A4$235.2A$236.A49.
2A$233.3A51.A$233.A50.3A$284.A!

Fast Forward Force Field synthesis of symbiotic LWSS

Code: Select all

x = 17, y = 7, rule = QuadLife
7.A6.A$8.A6.2A$2.2A2.3A5.BD$2A.2A$4A9.A$.2A9.2A$12.A.A!

Unfortunately, this reaction can't be used yet because there is no known way of synthezising a 4-color glider.

Challenges:
4-color glider synthesis
Other symbiotic elementary spaceship syntheses. This is hard because the leading edge, including the diagonally connected cell, of the spaceship has to have at least three colors.
Synthesizing custom multi-colored still lifes. This is hard because 1 color often dominates leaving no cells of the other color.
Find other colorised rules. Preferably colors should all have equal relations to each other, i.e., colors should behave according to whether the colors are different or not, not according to what the colors are.
Proposed terminology:
Color patch: A group of mutually interacting cells of the same color.


Dying color patch: A color patch which takes part in a reaction but doesn't have any cells of its own color that get born form it at the end. A color might still be at the end of a reaction if there's another color patch of the same color or if it gets reborn through 3 different colors, this does not change the status of the color patch.

Inductive color patch: A color patch that persists until the end of a reaction but doesn't have cells of its own color in the desired output object(s).

Symbiotic: A pattern that has at least two colors and cannot function with all cells from any individual color patch being removed.
Example: Symbiotic glider
Not an example: Bi-block with blocks of two colors with each block having a single color.

Glider chromaticity: The cell color(s) of a glider, as opposed to color in the traditional sense.

On a side note, I'm new to the forums so I'd like to ask something: When I click "preview" before submitting a reply, it shows my patterns without having to click "show in viewer". Is this how you see it or just me?

[rowett]

On a side note, I'm new to the forums so I'd like to ask something: When I click "preview" before submitting a reply, it shows my patterns without having to click "show in viewer". Is this how you see it or just me?

Welcome to the forums!

If you use the [ viewer ] tags then it shows the pattern inline. Your current post has this so we see the patterns inline in the post.

Alternatively (and recommended) instead of using the [ viewer ] tags, use the [ code ] tags in which case you'll see a code box with the "Show in Viewer" link as below:

Code: Select all

x = 31, y = 18, rule = ColorisedSeeds
4.A6.4A4.4A5.A$3.A23.A$16.B7.2A$3.A23.A$4.A2.2A7.2C5.A2.A.A$12.C$14.A
2.C4.AB.A$.A3.A4.B4.A2C.BC.A.C4.A$B3.A3.B17.C3.B$B3.A3.B17.C3.B$.A3.A
4.C4.2AB.BA.A.C4.A$14.C2.B4.AB.A$12.A$4.A2.2A7.2C5.A2.A.A$3.A23.A$16.
C7.2A$3.A23.A$4.A6.4A4.4A5.A!

[Schiaparelliorbust]

Code: Select all

x = 67, y = 37, rule = B3/S23
22$6b5o2bo2bo4bo4bo3bobo2bo4bo3bo3b3o3bo3bo$8bo4bo2bo3bobo3b2o2bobobo
6bobo3bo3bo2bo3bo$8bo4b4o3b3o3bobobob2o8bo4bo3bo2bo3bo$8bo4bo2bo2bo3bo
2bo2b2obobo7bo4bo3bo2bo3bo$8bo4bo2bo2bo3bo2bo3bobo2bo6bo5b3o4b3o!

[Hunting]

Do you have synthesis of two-color gliders?

[LaundryPizza03]

To make a four-color glider in QuadLife, fire a two-color glider at a different-colored toad as a one-time reflector.

Code: Select all

x = 7, y = 9, rule = QuadLife
A$.2A$2B3$4.D$3.D2.D$3.D2.D$5.D!

p144 4-color glider gun:

Code: Select all

x = 216, y = 223, rule = QuadLife
161.A$159.3A$158.A$158.2A$190.A$188.3A$187.A$187.2A4$144.A$143.A3.3A$
144.A.5A$148.A$148.2A5.3A15.A$148.2A4.A2.A14.A3.3A5.3A$154.A3.A14.A.
5A4.A2.A$154.A2.A19.A5.A3.A$150.A.A2.A.A19.2A4.4A$150.A2.A23.2A5.A$
149.A3.A$139.A10.A2.A4.2A$138.A.A9.3A5.2A$159.A10.2A$113.2A23.A18.5A.
A6.2A$114.A23.2A18.3A3.A16.D5.2A$114.A.A18.5A23.A4.6A5.4D4.2A$115.2A
9.2A7.2A.2A27.A2.A3.A3.D3.D5.A$125.A2.A9.A28.2A3.2A4.D2.D4.5A.A$125.A
2.A43.A6.3D5.3A3.A$125.2A.2A40.A.A19.A$127.2A41.A.A$136.2A10.A.A22.A$
135.2A.2A9.2A16.2A4.A29.A$136.A2.A9.A17.2A4.A28.A.A$126.A9.A2.A33.A$
125.2A.2A7.2A34.A28.A$125.5A40.A2.A28.2A$125.2A45.A9.D16.5A$126.A43.A
.A.A5.2D12.C4.2A.2A$137.A11.2A18.A.A.2A6.2C9.2C.2C5.A$124.A.A9.A.A3.
6A2.A6.A.A9.A.A20.C$125.A10.A.4A6.2A8.2A10.2A20.C3.C$133.2A.A13.3A5.A
34.3C$133.2A.2A2.2A5.A.A2.A44.3A$136.A13.2A44.A3.A$136.A.A4.2A55.A$
137.2A4.2A28.D16.A5.2A.2A$171.2D16.2A.2A4.A13.2A$172.2C15.5A18.A.A$
189.2A23.A$190.A23.2A2$188.A.A$189.A11$155.D$153.2D$154.2C6$157.3A$
157.A$158.A7$178.2A19.A$137.D36.4A4.2A10.3A.2A2.2A$135.2D37.3A.2A2.2A
10.4A4.2A$136.2C41.A18.2A2$153.2A$153.2A$171.2A8.2A$170.A2.A7.2A$171.
2A$189.2A.2A$166.3A20.2A4.A$166.A.A20.2A.A2.A$166.3A23.A2.A$166.2A25.
2A$165.3A25.2A$165.A.A$165.3A2$161.2A$160.A2.A$161.2A$153.2A24.2A$
153.2A24.2A$115.A$113.A2.A$23.2A24.2A62.A2.A25.2A$23.2A24.2A63.A27.A
2.A3$45.2A95.A.2A$41.4A92.2A2.A.A$39.2A.A94.A4.A$141.A$31.3A4.A3.A95.
A2.A$31.A2.A4.A2.A$18.2A11.A3.A4.3A$17.A.2A116.A$17.A2.A10.A.2A101.A.
A$18.A2.A7.4A103.A2.A$18.2A.2A4.2A108.2A$7.2A$7.2A12.2A$49.2A90.2A$
49.2A90.A.A$22.2A119.A$4.2A15.3A119.2A$2A2.2A2.2A10.A.A2.A2.2A$A.A2.A
2.2A10.2A2.2A2.2A$.3A20.2A$2.2A118.A$122.2A$121.A.A$86.A$86.2A$85.A.A
9$53.A94.A$51.A.A93.2A$52.2A93.A.A$168.2A15.2A$168.2A15.2A3$182.A$
181.A.A2$179.A2.A$177.2A$177.2A.2A$176.A2.A$64.2A111.2A$63.A2.A4.2A$
63.A.A5.2A$64.A6.2A$71.A$59.2A9.A.A103.2A$60.A10.A.A.3A97.A2.A$57.3A
12.A.4A95.2A.2A$57.A15.A12.A89.2A$86.2A84.A2.A$85.A.A76.2A$48.2A15.2A
95.A2.A5.A.A$48.2A15.2A105.A$162.A2.A$163.A2.A$52.A111.A.A18.2A$51.A.
A111.A19.2A$170.2A$52.A2.A108.2A4.2A$56.2A106.2A8.2A$53.2A.2A115.3A$
55.A2.A114.A2.A$56.2A116.2A5$57.2A$56.A2.A$57.2A.2A$57.2A105.2A$59.A
2.A101.A2.A2.2A$69.2A99.2A$61.A.A5.A2.A91.A2.A$62.A100.A2.A$69.A2.A
90.A.A$68.A2.A92.A$48.2A18.A.A$48.2A19.A94.2A$63.2A99.2A$63.2A4.2A$
59.2A8.2A$59.3A$58.A2.A$59.2A8$69.2A$63.2A2.A2.A$63.2A$67.A2.A$68.A2.
A$69.A.A$70.A2$69.2A$69.2A!

[Schiaparelliorbust]

Do you have synthesis of two-color gliders?

Yes, I do. The symbiotic HWSS gun I made uses it. There's another gun that can do it too. Though if by "synthesis" you mean glider synthesis, then no.

Code: Select all

x = 58, y = 37, rule = QuadLife
11$45.2A$26.2A15.2A2.A$27.A7.C7.A3.A$27.A.A3.2C.2C4.A4.A$28.2A10.A.3A
.A$33.2C5.A3.A.A$32.C.C3.C5.2A$32.C.3C.C10.2A$31.C4.C4.2A.2A3.A.A$31.
C3.C7.A7.A$31.C2.2C15.2A$26.3A3.2C$8.2A15.3A.A$9.A6.3A5.3A.3A$9.A.A4.
3A4.2A.A.2A$10.2A5.A6.A.A.2A6.C$15.2A4.A.A4.A5.A.C$14.A4.A.A4.2A7.2A$
13.2A.A.A6.A5.2A$13.2A.A.2A4.3A4.A.A$12.3A.3A5.3A6.A7.C$13.A.3A15.2A
7.C$14.3A23.2AC!

To make a four-color glider in QuadLife, fire a two-color glider at a different-colored toad as a one-time reflector.

Code: Select all

x = 7, y = 9, rule = QuadLife
A$.2A$2B3$4.D$3.D2.D$3.D2.D$5.D!

p144 4-color glider gun:

Code: Select all

x = 216, y = 223, rule = QuadLife
161.A$159.3A$158.A$158.2A$190.A$188.3A$187.A$187.2A4$144.A$143.A3.3A$
144.A.5A$148.A$148.2A5.3A15.A$148.2A4.A2.A14.A3.3A5.3A$154.A3.A14.A.
5A4.A2.A$154.A2.A19.A5.A3.A$150.A.A2.A.A19.2A4.4A$150.A2.A23.2A5.A$
149.A3.A$139.A10.A2.A4.2A$138.A.A9.3A5.2A$159.A10.2A$113.2A23.A18.5A.
A6.2A$114.A23.2A18.3A3.A16.D5.2A$114.A.A18.5A23.A4.6A5.4D4.2A$115.2A
9.2A7.2A.2A27.A2.A3.A3.D3.D5.A$125.A2.A9.A28.2A3.2A4.D2.D4.5A.A$125.A
2.A43.A6.3D5.3A3.A$125.2A.2A40.A.A19.A$127.2A41.A.A$136.2A10.A.A22.A$
135.2A.2A9.2A16.2A4.A29.A$136.A2.A9.A17.2A4.A28.A.A$126.A9.A2.A33.A$
125.2A.2A7.2A34.A28.A$125.5A40.A2.A28.2A$125.2A45.A9.D16.5A$126.A43.A
.A.A5.2D12.C4.2A.2A$137.A11.2A18.A.A.2A6.2C9.2C.2C5.A$124.A.A9.A.A3.
6A2.A6.A.A9.A.A20.C$125.A10.A.4A6.2A8.2A10.2A20.C3.C$133.2A.A13.3A5.A
34.3C$133.2A.2A2.2A5.A.A2.A44.3A$136.A13.2A44.A3.A$136.A.A4.2A55.A$
137.2A4.2A28.D16.A5.2A.2A$171.2D16.2A.2A4.A13.2A$172.2C15.5A18.A.A$
189.2A23.A$190.A23.2A2$188.A.A$189.A11$155.D$153.2D$154.2C6$157.3A$
157.A$158.A7$178.2A19.A$137.D36.4A4.2A10.3A.2A2.2A$135.2D37.3A.2A2.2A
10.4A4.2A$136.2C41.A18.2A2$153.2A$153.2A$171.2A8.2A$170.A2.A7.2A$171.
2A$189.2A.2A$166.3A20.2A4.A$166.A.A20.2A.A2.A$166.3A23.A2.A$166.2A25.
2A$165.3A25.2A$165.A.A$165.3A2$161.2A$160.A2.A$161.2A$153.2A24.2A$
153.2A24.2A$115.A$113.A2.A$23.2A24.2A62.A2.A25.2A$23.2A24.2A63.A27.A
2.A3$45.2A95.A.2A$41.4A92.2A2.A.A$39.2A.A94.A4.A$141.A$31.3A4.A3.A95.
A2.A$31.A2.A4.A2.A$18.2A11.A3.A4.3A$17.A.2A116.A$17.A2.A10.A.2A101.A.
A$18.A2.A7.4A103.A2.A$18.2A.2A4.2A108.2A$7.2A$7.2A12.2A$49.2A90.2A$
49.2A90.A.A$22.2A119.A$4.2A15.3A119.2A$2A2.2A2.2A10.A.A2.A2.2A$A.A2.A
2.2A10.2A2.2A2.2A$.3A20.2A$2.2A118.A$122.2A$121.A.A$86.A$86.2A$85.A.A
9$53.A94.A$51.A.A93.2A$52.2A93.A.A$168.2A15.2A$168.2A15.2A3$182.A$
181.A.A2$179.A2.A$177.2A$177.2A.2A$176.A2.A$64.2A111.2A$63.A2.A4.2A$
63.A.A5.2A$64.A6.2A$71.A$59.2A9.A.A103.2A$60.A10.A.A.3A97.A2.A$57.3A
12.A.4A95.2A.2A$57.A15.A12.A89.2A$86.2A84.A2.A$85.A.A76.2A$48.2A15.2A
95.A2.A5.A.A$48.2A15.2A105.A$162.A2.A$163.A2.A$52.A111.A.A18.2A$51.A.
A111.A19.2A$170.2A$52.A2.A108.2A4.2A$56.2A106.2A8.2A$53.2A.2A115.3A$
55.A2.A114.A2.A$56.2A116.2A5$57.2A$56.A2.A$57.2A.2A$57.2A105.2A$59.A
2.A101.A2.A2.2A$69.2A99.2A$61.A.A5.A2.A91.A2.A$62.A100.A2.A$69.A2.A
90.A.A$68.A2.A92.A$48.2A18.A.A$48.2A19.A94.2A$63.2A99.2A$63.2A4.2A$
59.2A8.2A$59.3A$58.A2.A$59.2A8$69.2A$63.2A2.A2.A$63.2A$67.A2.A$68.A2.
A$69.A.A$70.A2$69.2A$69.2A!

I have a vague memory seeing that 4-color glider toad synthesis. Where did you find it? This means we can now make a symbiotic LWSS gun using the Fast Forward Force Field synthesis that I posted above. I'll try to get get started on it now. Also, thank you very much for reviving this thread!

[Hunting]

Yes, I do. The symbiotic HWSS gun I made uses it. There's another gun that can do it too. Though if by "synthesis" you mean glider synthesis, then no.

Code: Select all

x = 58, y = 37, rule = QuadLife
11$45.2A$26.2A15.2A2.A$27.A7.C7.A3.A$27.A.A3.2C.2C4.A4.A$28.2A10.A.3A
.A$33.2C5.A3.A.A$32.C.C3.C5.2A$32.C.3C.C10.2A$31.C4.C4.2A.2A3.A.A$31.
C3.C7.A7.A$31.C2.2C15.2A$26.3A3.2C$8.2A15.3A.A$9.A6.3A5.3A.3A$9.A.A4.
3A4.2A.A.2A$10.2A5.A6.A.A.2A6.C$15.2A4.A.A4.A5.A.C$14.A4.A.A4.2A7.2A$
13.2A.A.A6.A5.2A$13.2A.A.2A4.3A4.A.A$12.3A.3A5.3A6.A7.C$13.A.3A15.2A
7.C$14.3A23.2AC!

Your example is not a synthesis, though it might be possible to extract a synthesis from your example. I'll try later.

[ENORMOUS_NAME]

block synthesis

Code: Select all

x = 47, y = 29, rule = QuadLife
45.D$44.D$44.3D15$14.2D$14.2D8$3C23.3D$2.C23.D$.C25.D!

[hiro-saki]

In connection with this topic, I was wondering if anyone could possibly reply to the below questions of mine, please:
viewtopic.php?f=11&t=4807
I would like to know especially by all means whether colorized CA also act as UTM.
Cf.:
viewtopic.php?f=11&t=4459&p=107101#p107101
(Note: I'm a total lay-person concerning computing.)
Thank you so much in advance for your kind co-operation!

[Schiaparelliorbust]

In connection with this topic, I was wondering if anyone could possibly reply to the below questions of mine, please:
viewtopic.php?f=11&t=4807
I would like to know especially by all means whether colorized CA also act as UTM.
Cf.:
viewtopic.php?f=11&t=4459&p=107101#p107101
(Note: I'm a total lay-person concerning computing.)
Thank you so much in advance for your kind co-operation!

Well Quadlife is a superset of CGoL, so it is Turing-complete, though I don't know of any computing mechanism that actively uses color.

[hiro-saki]

In connection with this topic, I was wondering if anyone could possibly reply to the below questions of mine, please:
viewtopic.php?f=11&t=4807
I would like to know especially by all means whether colorized CA also act as UTM.
Cf.:
viewtopic.php?f=11&t=4459&p=107101#p107101
(Note: I'm a total lay-person concerning computing.)
Thank you so much in advance for your kind co-operation!

Well Quadlife is a superset of CGoL, so it is Turing-complete, though I don't know of any computing mechanism that actively uses color.

Thanks a million! How about colorized PCA? Could there be any such thing that is also Turing-complete?
Or are all Turing-complete CAs equivalent or compatible with each other?

[hiro-saki]

God has given me the answer to the above question:
The UTM-ness of all CAs can be proven as follows:
Let "P = PCA-ness." and "C = colorized-CA-ness." .
Then the requirements for computation-principles denies the "dialectical/dialetheist" logical contradiction of both P-UTM-ness negating C-UTM-ness and C-UTM-ness negating P-UTM-ness ( = namely, their simultaneous co-existence and co-non-existence, or, surviving together after cutting each other's throat), which means that P-UTM-ness = C-UTM-ness.
That's because the whole set of CAs is cross-classified into these four sub-sets:

nonC＆nonP, C＆nonP,
nonC＆P, C＆P

where nonC＆nonP is included in nonC＆P as the special case with the probabilities restricted to either 0 or 1, and the UTM-ness of C＆nonP and nonC＆P has already been proved, and the remaining issue was whether or not C＆P is also UTM, which has been solved affirmatively/positively just now/above.

[Citation needed]

ColorfulGalaxy found an isotropic non-totalistic Colourised Life variant where all live states are "created equal" and parent cells of three different colors don't generate a fourth color.

Code: Select all

x = 5, y = 5, rule = ColourisedLife27s
.ABC$D$E!

[Citation needed]

ColorfulGalaxy found a variant of Koenig's Life with modular arithmetic.

Code: Select all

x = 0, y = 0, rule = ColourisedLifeModulo5
bABE$C$D!
@RULE ColourisedLifeModulo5
{{Outdated}}
A variant of Koenig's Life with modular arithmetic.
http://mathworld.wolfram.com/ModularArithmetic.html
1×3＝3
3×3＝4
4×3＝2
2×3＝1
5×3＝5

;Notable patterns
5-color glider (p124)
5-color toad (the two stator cells are in the same color) (p8)
5-color clock (the two stator cells are in the same color) (p8)
4-color galaxy made up of four 2x6 rectangles  in each color (p4992)


@TABLE
n_states:6
neighborhood:Moore
symmetries:permute
var a={1,2,3,4,5}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var a9=a

# B3
0,1,1,1,0,0,0,0,0,1
0,1,1,2,0,0,0,0,0,3
0,1,1,3,0,0,0,0,0,5
0,1,1,4,0,0,0,0,0,2
0,1,1,5,0,0,0,0,0,4
0,1,2,2,0,0,0,0,0,5
0,1,2,3,0,0,0,0,0,2
0,1,2,4,0,0,0,0,0,4
0,1,2,5,0,0,0,0,0,1
0,1,3,3,0,0,0,0,0,4
0,1,3,4,0,0,0,0,0,1
0,1,3,5,0,0,0,0,0,3
0,1,4,4,0,0,0,0,0,3
0,1,4,5,0,0,0,0,0,5
0,1,5,5,0,0,0,0,0,2
0,2,2,2,0,0,0,0,0,2
0,2,2,3,0,0,0,0,0,4
0,2,2,4,0,0,0,0,0,1
0,2,2,5,0,0,0,0,0,3
0,2,3,3,0,0,0,0,0,1
0,2,3,4,0,0,0,0,0,3
0,2,3,5,0,0,0,0,0,5
0,2,4,4,0,0,0,0,0,5
0,2,4,5,0,0,0,0,0,2
0,2,5,5,0,0,0,0,0,4
0,3,3,3,0,0,0,0,0,3
0,3,3,4,0,0,0,0,0,5
0,3,3,5,0,0,0,0,0,2
0,3,4,4,0,0,0,0,0,2
0,3,4,5,0,0,0,0,0,4
0,3,5,5,0,0,0,0,0,1
0,4,4,4,0,0,0,0,0,4
0,4,4,5,0,0,0,0,0,1
0,4,5,5,0,0,0,0,0,3
0,5,5,5,0,0,0,0,0,5

a,0,0,0,0,0,0,0,0,0 # S0
a,a1,0,0,0,0,0,0,0,0 # S1
a,a1,a2,a3,a4,0,0,0,0,0 # S4
a,a1,a2,a3,a4,a5,0,0,0,0 # S5
a,a1,a2,a3,a4,a5,a6,0,0,0 # S6
a,a1,a2,a3,a4,a5,a6,a7,0,0 # S7
a,a1,a2,a3,a4,a5,a6,a7,a8,0 # S8

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

Here is a computer program that generates the rule table.

Code: Select all

modu=7
quot=[7,5,3,1,6,4,2]
#C Change the list above

print("@RULE ColourisedLifeModulo",modu,sep='')
print("A variant of Koenig's Life with modular arithmetic.\nhttp://mathworld.wolfram.com/ModularArithmetic.html\n")
print("@TABLE\nn_states:",modu+1,sep='')
print("""neighborhood:Moore\nsymmetries:permute\n\nvar a=""",set(range(1,modu+1)))
print("""
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var a9=a\n\n# B3""")
for i in range(1,modu+1):
 for j in range(i,modu+1):
  for k in range(j,modu+1):
   print("0,",i,",",j,",",k,",0,0,0,0,0,",quot[(i+j+k)%7],sep='')
print("""
a,0,0,0,0,0,0,0,0,0 # S0
a,a1,0,0,0,0,0,0,0,0 # S1
a,a1,a2,a3,a4,0,0,0,0,0 # S4
a,a1,a2,a3,a4,a5,0,0,0,0 # S5
a,a1,a2,a3,a4,a5,a6,0,0,0 # S6
a,a1,a2,a3,a4,a5,a6,a7,0,0 # S7
a,a1,a2,a3,a4,a5,a6,a7,a8,0 # S8""")

[confocaloid]

I'm surprised that there isn't a topic for this. [...]
[...]
Challenges: [...]
Find other colorised rules. Preferably colors should all have equal relations to each other, i.e., colors should behave according to whether the colors are different or not, not according to what the colors are.
[...]

One interesting question, is there a colourised variant of Conway's Life with all of the following properties?

1. There are two colours (two "alive" cellstates, three cellstates in total).
2. The ruleset is completely symmetric with respect to the exchange of the colours.
3. The ruleset is isotropic (i.e. symmetric with respect to rotations and reflections).
4. "Monochromatic" gliders exist.
5. There is a synthesis of a state-2 glider by colliding two or more state-1 gliders. (This property would allow to construct glider-constructible objects of different colours, starting from a "monochromatic" initial pattern.)

Another question, is there a three-state CA where properties 1 through 4 from the above hold, with an additional property that small "monochromatic" initial seeds usually remain "monochromatic" as they evolve, but sometimes can spontaneously change to the other colour (again becoming a "monochromatic" evolving pattern for a while)?
(It is not too hard to engineer such CA with more than two "alive" colours, where e.g. 1 beats 2 beats 3 beats 1. But I don't know good examples with just two colours.)

[Citation needed]

Does this rule table contain any bugs or glitches?

Code: Select all

x = 17, y = 34, rule = ColourisedFireworld
2.2B$2.2A7$14F.F$11.F8$.16F$F$F$F6.E$F$F15.F$2F14.F$F15.F$F15.F$16.F$
F15.F$16.F$16.F$16.F$14.F2$14F!

@RULE ColourisedFireworld

Newborn cell takes the color of its orthogonal parent.
This rule may be omniperiodic.

@TABLE

n_states:26
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}
var l={1,3,5,7,9,11,13,15,17,19,21,23,25}
var d={2,4,8,10,12,14,16,18,20,22,24}
var k={d,0}
var d0={d,0,6}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var l1=l
var l2=l
var l3=l
var b1=d0
var b2=d0
var b3=d0
var b4=d0
var b5=d0
var b6=d0
var b7=d0
var b8=d0
var k1=k
var k2=k
var k3=k
var k4=k
var k5=k
var k6=k
var k7=k
var k8=k

0,l,l1,b1,b2,b3,b4,b5,b6,l
0,l,b1,b2,l1,b3,b4,b5,b6,l

# Wire 2a
0,6,6,l,k1,k2,k3,k4,k5,l
0,6,6,k1,l,k2,k3,k4,k5,l
0,6,6,k1,k2,l,k3,k4,k5,l
0,6,6,k1,k2,k3,l,k4,k5,l
0,6,6,k1,k2,k3,k4,l,k5,l
0,6,6,k1,k2,k3,k4,k5,l,l

# Wire 2c
0,l,6,k1,6,k2,k3,k4,k5,l
0,k1,6,l,6,k2,k3,k4,k5,l
0,k1,6,k2,6,k3,l,k4,k5,l
0,k1,6,k2,6,k3,k4,l,k5,l

# Wire 2e
0,6,l,6,k1,k2,k3,k4,k5,l
0,6,k1,6,l,k2,k3,k4,k5,l
0,6,k1,6,k2,l,k3,k4,k5,l
0,6,k1,6,k2,k3,l,k4,k5,l

# Wire 2i
0,6,k1,k2,k3,6,k4,k5,l,l
0,6,k1,k2,k3,6,k4,l,k5,l

# Wire 2k
0,6,l,k1,6,k2,k3,k4,k5,l
0,6,k1,l,6,k2,k3,k4,k5,l
0,6,k1,k2,6,l,k3,k4,k5,l
0,6,k1,k2,6,k3,l,k4,k5,l
0,6,k1,k2,6,k3,k4,l,k5,l
0,6,k1,k2,6,k3,k4,k5,l,l

# Wire 2n
0,l,6,k1,k2,k3,6,k4,k5,l
0,k1,6,k2,l,k3,6,k4,k5,l

# Wire 3a
0,6,6,6,l,k1,k2,k3,k4,l
0,6,6,6,k1,l,k2,k3,k4,l
0,6,6,6,k1,k2,l,k3,k4,l

# Wire 3c
0,l,6,k1,6,k2,6,k3,k4,l
0,k1,6,l,6,k2,6,k3,k4,l
0,k1,6,k2,6,k3,6,k4,6,l

# Wire 3e
0,6,l,6,k1,6,k2,k3,k4,l
0,6,k1,6,k2,6,l,k3,k4,l
0,6,k1,6,k2,6,k3,l,k4,l

# Wire 3i
0,l,6,6,6,k1,k2,k3,k4,l
0,k1,6,6,6,k2,l,k3,k4,l
0,k1,6,6,6,k2,k3,l,k4,l

# Wire 3j
0,6,k1,6,k2,k3,k4,l,6,l
0,6,l,6,k1,k2,k3,k4,6,l
0,6,k1,6,l,k2,k3,k4,6,l
0,6,k1,6,k2,l,k3,k4,6,l
0,6,k1,6,k2,k3,l,k4,6,l

# Wire 3k
0,6,l,6,k1,k2,6,k3,k4,l
0,6,k1,6,l,k2,6,k3,k4,l
0,6,k1,6,k2,l,6,k3,k4,l

# Wire 3n
0,6,6,l,6,k1,k2,k3,k4,l
0,6,6,k1,6,l,k2,k3,k4,l
0,6,6,k1,6,k2,l,k3,k4,l
0,6,6,k1,6,k2,k3,l,k4,l
0,6,6,k1,6,k2,k3,k4,l,l

# Wire 3q
0,6,6,l,k1,k2,6,k3,k4,l
0,6,6,k1,l,k2,6,k3,k4,l
0,6,6,k1,k2,l,6,k3,k4,l
0,6,6,k1,k2,k3,6,l,k4,l
0,6,6,k1,k2,k3,6,k4,l,l

# Wire 3r
0,6,6,l,k1,6,k2,k3,k4,l
0,6,6,k1,l,6,k2,k3,k4,l
0,6,6,k1,k2,6,l,k3,k4,l
0,6,6,k1,k2,6,k3,l,k4,l
0,6,6,k1,k2,6,k3,k4,l,l

# Wire 3y
0,6,l,k1,6,k2,6,k3,k4,l
0,6,k1,l,6,k2,6,k3,k4,l
0,6,k1,k2,6,l,6,k3,k4,l



5,b1,b2,b3,b4,b5,b6,b7,b8,25
25,b1,b2,b3,b4,b5,b6,b7,b8,5
l,6,a1,a2,a3,a4,a5,a6,a7,2
l,a1,6,a2,a3,a4,a5,a6,a7,2
l,b1,b2,b3,b4,b5,b6,b7,b8,l
l,l1,l2,l3,b1,b2,b3,b4,b5,l
l,l1,b1,l2,l3,b2,b3,b4,b5,l
l,l1,b1,l2,b2,b3,l3,b4,b5,l
l,l1,l2,b1,b2,l3,b3,b4,b5,l

1,a1,a2,a3,a4,a5,a6,a7,a8,2
3,a1,a2,a3,a4,a5,a6,a7,a8,4
5,a1,a2,a3,a4,a5,a6,a7,a8,2
7,a1,a2,a3,a4,a5,a6,a7,a8,8
9,a1,a2,a3,a4,a5,a6,a7,a8,10
11,a1,a2,a3,a4,a5,a6,a7,a8,12
13,a1,a2,a3,a4,a5,a6,a7,a8,14
15,a1,a2,a3,a4,a5,a6,a7,a8,16
17,a1,a2,a3,a4,a5,a6,a7,a8,18
19,a1,a2,a3,a4,a5,a6,a7,a8,20
21,a1,a2,a3,a4,a5,a6,a7,a8,22
23,a1,a2,a3,a4,a5,a6,a7,a8,24
25,a1,a2,a3,a4,a5,a6,a7,a8,2

d,a1,a2,a3,a4,a5,a6,a7,a8,0

@NAMES

0 OFF
1 ON 1
2 DYING 1
3 ON 2
4 DYING 2
5 ON 3
6 WIRE
7 ON 4
8 DYING 4
9 ON 5
10 DYING 5
11 ON 6
12 DYING 6
13 ON 7
14 DYING 7
15 ON 8
16 DYING 8
17 ON 9
18 DYING 9
19 ON 10
20 DYING 10
21 ON 11
22 DYING 11
23 ON 12
24 DYING 12
25 ON 13

@COLORS
1    0  255    0  # standard ON (green)
2    0    0  160  # history state OFF (blue)
3  255  216  255  # marked ON with trail (pink)
4  255    0    0  # marked OFF with trail (red)
5  255  255    0  # marked ON alternate (yellow)
6   96   96   96  # boundary cell (dark gray)
7  255    0  255  # marked ON no-trail filter (magenta)
8  128    0  128  # marked OFF no-trail filter (purple)
9    0  191  255  # ON with trail alt#1 (deep sky blue)
10   0   64  128  # OFF trail alt#1 (dark cerulean)
11  64  224  208  # ON with trail (turquoise)
12   0  128   64  # OFF trail alt#2 (bluish green)
13 255  255  255  # ON no-trail #1 (white)
14 255   99   71  # OFF disappearing label (tomato)
15 250  128  114  # ON no-trail #2 (salmon)
16 219  112  147  # OFF vanishing label (pale violet red)
17 255  165    0  # ON no-trail #3 (orange)
18 245  222  179  # OFF cycling label #1 (wheat)
19   0  255  255  # ON no-trail #4 (cyan)
20 192  192  192  # OFF cycling label #2 (silver)
21 192  255  128  # ON no-trail #5 (yellow green) 
22 255  182  193  # OFF cycling label #3 (light pink)
23   0  255  127  # ON no-trail #6 (brighter green)
24   1    1    1  # hidden label (stealthy near-black)
25 255    0  127  # ON no-trail #7 (red magenta)

[rattlesnake]

Any way to synthesize this 3-color boat?

Code: Select all

x = 3, y = 3, rule = QuadLife
2A$C.B$.B!

Possible idea:

Code: Select all

#C [[ PASTET 40 PASTE .2B$B2.B$.B$.B$2.2B! 5 3 PASTET 80 PASTE .B$B.2B$B3.B$.B2.B! 0 8 ]]
x = 6, y = 9, rule = QuadLife
.A$2.A$2CA4$4.A$3.CA$3.C.A!

[pifricted]

Any way to synthesize this 3-color boat?

Code: Select all

x = 3, y = 3, rule = QuadLife
2A$C.B$.B!

Possible idea:

Code: Select all

#C [[ PASTET 40 PASTE .2B$B2.B$.B$.B$2.2B! 5 3 PASTET 80 PASTE .B$B.2B$B3.B$.B2.B! 0 8 ]]
x = 6, y = 9, rule = QuadLife
.A$2.A$2CA4$4.A$3.CA$3.C.A!

8G:

Code: Select all

x = 59, y = 14, rule = QuadLife
.A22.B22.2A$2.A20.B23.C.B$2CA15.2A3.3B22.C$18.C.A$19.C$46.2B$4.A19.2B
19.B.B3.3B$3.CA19.B.B20.B3.B$3.C.A18.B27.B$56.3B$56.B$27.2B28.B$27.B.
B$27.B!

Or 10G:

Code: Select all

x = 73, y = 17, rule = QuadLife
8.C$7.C$7.3C$38.B$37.B$32.2A3.3B21.2A$32.C.C26.C.B$33.C28.C2$3A35.2B$
2.A35.B.B19.2B$.A36.B20.B.B3.3B$5.A55.B3.B$5.2A59.B$4.A.A7.2A25.2B27.
3B$13.2A26.B.B26.B$15.A25.B29.B!

[Entity Valkyrie 2]

Back in 2021, I made the rule EV2QuadColor, which was a marked version of QuadLife.

Code: Select all

x = 127, y = 117, rule = EV2QuadColor
124.A$16.A107.A.A$14.A.A107.2A$15.2A103.A$118.2A$119.2A$108.C$107.C$
107.3C6$18.D33.2B$19.2D24.B6.B$18.2D20.3B3.B2.B4.B2.2B$39.5B.B3.5B.B
2.B$41.B13.2B.B.2B$40.2B5.4B.3B3.B2.B$40.2B5.B2.B.B3.2B.B$57.B.2B$57.
B$56.2B5$37.B18.2B$37.B.B17.B$37.3B17.B.2B$39.B18.B.B5$30.2B$31.B$28.
3B$28.B7$58.H$57.H.H$58.2H3$63.2J$64.J$61.3J$61.J2$50.2A$46.A3.A.A$
45.A.A3.2A$46.A$65.2L$50.A13.L2.L$49.A.A13.L.L$50.A15.L3$64.2L$59.2A
3.2L$59.2A.F3$59.3A$59.3A4$57.2A3.2A$58.5A$59.3A$60.A6$57.2A$58.A$55.
3A$55.A4$2A$.2A$A105.C$105.2C$105.C.C11$110.2D$110.D.D9.3A$110.D11.A$
116.2D5.A$116.D.D$116.D2$123.2A$122.2A$124.A!

However, I have realized that I had been using rule in a way other than the original intent of being a marked version of QuadLife, especially for marking circuitry in different colors, and sometimes four colors didn't seem like enough. Also, I was also wondering about how to extend QuadLife to include more states.

So, I created two new variants of Colorized Life with 8 and 10 colors:

Code: Select all

@RULE EV2Steiner8Life

An extension of Immigration / QuadLife to 8 states, using the Steiner system S(3, 4, 8)
Also includes marked states (which can also be used to convert between colors)

STEINER SYSTEM S(3, 4, 8)
{1, 2, 4, 8}
{2, 3, 5, 8}
{3, 4, 6, 8}
{4, 5, 7, 8}
{1, 5, 6, 8}
{2, 6, 7, 8}
{1, 3, 7, 8}
{3, 5, 6, 7}
{1, 4, 6, 7}
{1, 2, 5, 7}
{1, 2, 3, 6}
{2, 3, 4, 7}
{1, 3, 4, 5}
{2, 4, 5, 6}

@TABLE
n_states:25
neighborhood:Moore
symmetries:permute

var any1 = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}
var any2 = any1
var any3 = any1
var any4 = any1

var onn1 = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23}
var onn2 = onn1
var onn3 = onn1
var onn4 = onn1

var off1 = {0, 3, 6, 9, 12, 15, 18, 21, 24}
var off2 = off1
var off3 = off1
var off4 = off1
var off5 = off1
var off6 = off1
var off7 = off1

var ace1 = {1, 2}
var ace2 = ace1
var deu1 = {4, 5}
var deu2 = deu1
var tri1 = {7, 8}
var tri2 = tri1
var qua1 = {10, 11}
var qua2 = qua1
var cin1 = {13, 14}
var cin2 = cin1
var six1 = {16, 17}
var six2 = six1
var sep1 = {19, 20}
var sep2 = sep1
var oct1 = {22, 23}
var oct2 = oct1

1,     any1, off1, off2, off3, off4, off5, off6, off7,   0
1,     onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
4,     any1, off1, off2, off3, off4, off5, off6, off7,   0
4,     onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
7,     any1, off1, off2, off3, off4, off5, off6, off7,   0
7,     onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
10,    any1, off1, off2, off3, off4, off5, off6, off7,   0
10,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
13,    any1, off1, off2, off3, off4, off5, off6, off7,   0
13,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
16,    any1, off1, off2, off3, off4, off5, off6, off7,   0
16,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
19,    any1, off1, off2, off3, off4, off5, off6, off7,   0
19,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
22,    any1, off1, off2, off3, off4, off5, off6, off7,   0
22,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0

0,    ace1, ace2, onn1, off1, off2, off3, off4, off5,   1
3,    onn1, onn2, onn3, off1, off2, off3, off4, off5,   2
2,    any1, off1, off2, off3, off4, off5, off6, off7,   3
2,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   3

0,    deu1, deu2, onn1, off1, off2, off3, off4, off5,   4
6,    onn1, onn2, onn3, off1, off2, off3, off4, off5,   5
5,    any1, off1, off2, off3, off4, off5, off6, off7,   6
5,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   6

0,    tri1, tri2, onn1, off1, off2, off3, off4, off5,   7
9,    onn1, onn2, onn3, off1, off2, off3, off4, off5,   8
8,    any1, off1, off2, off3, off4, off5, off6, off7,   9
8,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   9

0,    qua1, qua2, onn1, off1, off2, off3, off4, off5,   10
12,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   11
11,   any1, off1, off2, off3, off4, off5, off6, off7,   12
11,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   12

0,    cin1, cin2, onn1, off1, off2, off3, off4, off5,   13
15,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   14
14,   any1, off1, off2, off3, off4, off5, off6, off7,   15
14,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   15

0,    six1, six2, onn1, off1, off2, off3, off4, off5,   16
18,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   17
17,   any1, off1, off2, off3, off4, off5, off6, off7,   18
17,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   18

0,    sep1, sep2, onn1, off1, off2, off3, off4, off5,   19
21,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   20
20,   any1, off1, off2, off3, off4, off5, off6, off7,   21
20,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   21

0,    oct1, oct2, onn1, off1, off2, off3, off4, off5,   22
24,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   23
23,   any1, off1, off2, off3, off4, off5, off6, off7,   24
23,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   24

# When 3 states interact — Steiner System
0,    deu1, qua1, oct1, off1, off2, off3, off4, off5,   1
0,    ace1, qua1, oct1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, oct1, off1, off2, off3, off4, off5,   10
0,    ace1, deu1, qua1, off1, off2, off3, off4, off5,   22
0,    tri1, cin1, oct1, off1, off2, off3, off4, off5,   4
0,    deu1, cin1, oct1, off1, off2, off3, off4, off5,   7
0,    deu1, tri1, oct1, off1, off2, off3, off4, off5,   13
0,    deu1, tri1, cin1, off1, off2, off3, off4, off5,   22
0,    qua1, six1, oct1, off1, off2, off3, off4, off5,   7
0,    tri1, six1, oct1, off1, off2, off3, off4, off5,   10
0,    tri1, qua1, oct1, off1, off2, off3, off4, off5,   16
0,    tri1, qua1, six1, off1, off2, off3, off4, off5,   22
0,    deu1, cin1, sep1, off1, off2, off3, off4, off5,   1
0,    ace1, cin1, sep1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, sep1, off1, off2, off3, off4, off5,   13
0,    ace1, deu1, cin1, off1, off2, off3, off4, off5,   19
0,    cin1, sep1, oct1, off1, off2, off3, off4, off5,   10
0,    qua1, sep1, oct1, off1, off2, off3, off4, off5,   13
0,    qua1, cin1, oct1, off1, off2, off3, off4, off5,   19
0,    qua1, cin1, sep1, off1, off2, off3, off4, off5,   22
0,    cin1, six1, oct1, off1, off2, off3, off4, off5,   1
0,    ace1, six1, oct1, off1, off2, off3, off4, off5,   13
0,    ace1, cin1, oct1, off1, off2, off3, off4, off5,   16
0,    ace1, cin1, six1, off1, off2, off3, off4, off5,   22
0,    six1, sep1, oct1, off1, off2, off3, off4, off5,   4
0,    deu1, sep1, oct1, off1, off2, off3, off4, off5,   16
0,    deu1, six1, oct1, off1, off2, off3, off4, off5,   19
0,    deu1, six1, sep1, off1, off2, off3, off4, off5,   22
0,    tri1, sep1, oct1, off1, off2, off3, off4, off5,   1
0,    ace1, sep1, oct1, off1, off2, off3, off4, off5,   7
0,    ace1, tri1, oct1, off1, off2, off3, off4, off5,   19
0,    ace1, tri1, sep1, off1, off2, off3, off4, off5,   22
0,    cin1, six1, sep1, off1, off2, off3, off4, off5,   7
0,    tri1, six1, sep1, off1, off2, off3, off4, off5,   13
0,    tri1, cin1, sep1, off1, off2, off3, off4, off5,   16
0,    tri1, cin1, six1, off1, off2, off3, off4, off5,   19
0,    qua1, six1, sep1, off1, off2, off3, off4, off5,   1
0,    ace1, six1, sep1, off1, off2, off3, off4, off5,   10
0,    ace1, qua1, sep1, off1, off2, off3, off4, off5,   16
0,    ace1, qua1, six1, off1, off2, off3, off4, off5,   19
0,    deu1, cin1, sep1, off1, off2, off3, off4, off5,   1
0,    ace1, cin1, sep1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, sep1, off1, off2, off3, off4, off5,   13
0,    ace1, deu1, cin1, off1, off2, off3, off4, off5,   19
0,    deu1, tri1, six1, off1, off2, off3, off4, off5,   1
0,    ace1, tri1, six1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, six1, off1, off2, off3, off4, off5,   7
0,    ace1, deu1, tri1, off1, off2, off3, off4, off5,   16
0,    tri1, qua1, sep1, off1, off2, off3, off4, off5,   4
0,    deu1, qua1, sep1, off1, off2, off3, off4, off5,   7
0,    deu1, tri1, sep1, off1, off2, off3, off4, off5,   10
0,    deu1, tri1, qua1, off1, off2, off3, off4, off5,   19
0,    tri1, qua1, cin1, off1, off2, off3, off4, off5,   1
0,    ace1, qua1, cin1, off1, off2, off3, off4, off5,   7
0,    ace1, tri1, cin1, off1, off2, off3, off4, off5,   10
0,    ace1, tri1, qua1, off1, off2, off3, off4, off5,   13
0,    qua1, cin1, six1, off1, off2, off3, off4, off5,   4
0,    deu1, cin1, six1, off1, off2, off3, off4, off5,   10
0,    deu1, qua1, six1, off1, off2, off3, off4, off5,   13
0,    deu1, qua1, cin1, off1, off2, off3, off4, off5,   16


@COLORS

1 73 161 238
2 112 211 245
3 20 63 161

4 196 114 255
5 217 183 255
6 101 24 148

7 243 92 208
8 255 168 239
9 124 36 104

10 255 112 97
11 255 182 174
12 145 47 26

13 255 157 76
14 255 205 144
15 131 78 15

16 227 201 32
17 241 231 95
18 123 100 21

19 89 211 42
20 116 242 98
21 52 118 21

22 42 201 155
23 90 242 202
24 21 118 88

Code: Select all

@RULE EV2Steiner10Life

An extension of Immigration / QuadLife to 10 states, using the Steiner system S(3, 4, 10)
Also includes marked states (which can also be used to convert between colors)

STEINER SYSTEM S(3, 4, 10)
{1, 2, 4, 5} 
{2, 3, 5, 6} 
{3, 4, 6, 7} 
{4, 5, 7, 8} 
{5, 6, 8, 9} 
{6, 7, 9, 10} 
{1, 7, 8, 10} 
{1, 2, 8, 9} 
{2, 3, 9, 10} 
{1, 3, 4, 10} 
{1, 2, 3, 7} 
{2, 3, 4, 8} 
{3, 4, 5, 9} 
{4, 5, 6, 10} 
{1, 5, 6, 7} 
{2, 6, 7, 8} 
{3, 7, 8, 9} 
{4, 8, 9, 10} 
{1, 5, 9, 10} 
{1, 2, 6, 10} 
{1, 3, 5, 8} 
{2, 4, 6, 9} 
{3, 5, 7, 10} 
{1, 4, 6, 8} 
{2, 5, 7, 9} 
{3, 6, 8, 10} 
{1, 4, 7, 9} 
{2, 5, 8, 10} 
{1, 3, 6, 9} 
{2, 4, 7, 10}

@TABLE
n_states:31
neighborhood:Moore
symmetries:permute

var any1 = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30}
var any2 = any1
var any3 = any1
var any4 = any1

var onn1 = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29}
var onn2 = onn1
var onn3 = onn1
var onn4 = onn1

var off1 = {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}
var off2 = off1
var off3 = off1
var off4 = off1
var off5 = off1
var off6 = off1
var off7 = off1

var ace1 = {1, 2}
var ace2 = ace1
var deu1 = {4, 5}
var deu2 = deu1
var tri1 = {7, 8}
var tri2 = tri1
var qua1 = {10, 11}
var qua2 = qua1
var cin1 = {13, 14}
var cin2 = cin1
var six1 = {16, 17}
var six2 = six1
var sep1 = {19, 20}
var sep2 = sep1
var oct1 = {22, 23}
var oct2 = oct1
var non1 = {25, 26}
var non2 = non1
var dec1 = {28, 29}
var dec2 = dec1

1,     any1, off1, off2, off3, off4, off5, off6, off7,   0
1,     onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
4,     any1, off1, off2, off3, off4, off5, off6, off7,   0
4,     onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
7,     any1, off1, off2, off3, off4, off5, off6, off7,   0
7,     onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
10,    any1, off1, off2, off3, off4, off5, off6, off7,   0
10,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
13,    any1, off1, off2, off3, off4, off5, off6, off7,   0
13,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
16,    any1, off1, off2, off3, off4, off5, off6, off7,   0
16,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
19,    any1, off1, off2, off3, off4, off5, off6, off7,   0
19,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
22,    any1, off1, off2, off3, off4, off5, off6, off7,   0
22,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
25,    any1, off1, off2, off3, off4, off5, off6, off7,   0
25,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0
28,    any1, off1, off2, off3, off4, off5, off6, off7,   0
28,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   0

0,    ace1, ace2, onn1, off1, off2, off3, off4, off5,   1
3,    onn1, onn2, onn3, off1, off2, off3, off4, off5,   2
2,    any1, off1, off2, off3, off4, off5, off6, off7,   3
2,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   3

0,    deu1, deu2, onn1, off1, off2, off3, off4, off5,   4
6,    onn1, onn2, onn3, off1, off2, off3, off4, off5,   5
5,    any1, off1, off2, off3, off4, off5, off6, off7,   6
5,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   6

0,    tri1, tri2, onn1, off1, off2, off3, off4, off5,   7
9,    onn1, onn2, onn3, off1, off2, off3, off4, off5,   8
8,    any1, off1, off2, off3, off4, off5, off6, off7,   9
8,    onn1, onn2, onn3, onn4, any1, any2, any3, any4,   9

0,    qua1, qua2, onn1, off1, off2, off3, off4, off5,   10
12,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   11
11,   any1, off1, off2, off3, off4, off5, off6, off7,   12
11,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   12

0,    cin1, cin2, onn1, off1, off2, off3, off4, off5,   13
15,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   14
14,   any1, off1, off2, off3, off4, off5, off6, off7,   15
14,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   15

0,    six1, six2, onn1, off1, off2, off3, off4, off5,   16
18,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   17
17,   any1, off1, off2, off3, off4, off5, off6, off7,   18
17,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   18

0,    sep1, sep2, onn1, off1, off2, off3, off4, off5,   19
21,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   20
20,   any1, off1, off2, off3, off4, off5, off6, off7,   21
20,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   21

0,    oct1, oct2, onn1, off1, off2, off3, off4, off5,   22
24,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   23
23,   any1, off1, off2, off3, off4, off5, off6, off7,   24
23,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   24

0,    non1, non2, onn1, off1, off2, off3, off4, off5,   25
27,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   26
26,   any1, off1, off2, off3, off4, off5, off6, off7,   27
26,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   27

0,    dec1, dec2, onn1, off1, off2, off3, off4, off5,   28
30,   onn1, onn2, onn3, off1, off2, off3, off4, off5,   29
29,   any1, off1, off2, off3, off4, off5, off6, off7,   30
29,   onn1, onn2, onn3, onn4, any1, any2, any3, any4,   30

# When 3 states interact — Steiner System
0,    deu1, qua1, cin1, off1, off2, off3, off4, off5,   1
0,    ace1, qua1, cin1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, cin1, off1, off2, off3, off4, off5,   10
0,    ace1, deu1, qua1, off1, off2, off3, off4, off5,   13
0,    tri1, cin1, six1, off1, off2, off3, off4, off5,   4
0,    deu1, cin1, six1, off1, off2, off3, off4, off5,   7
0,    deu1, tri1, six1, off1, off2, off3, off4, off5,   13
0,    deu1, tri1, cin1, off1, off2, off3, off4, off5,   16
0,    qua1, six1, sep1, off1, off2, off3, off4, off5,   7
0,    tri1, six1, sep1, off1, off2, off3, off4, off5,   10
0,    tri1, qua1, sep1, off1, off2, off3, off4, off5,   16
0,    tri1, qua1, six1, off1, off2, off3, off4, off5,   19
0,    cin1, sep1, oct1, off1, off2, off3, off4, off5,   10
0,    qua1, sep1, oct1, off1, off2, off3, off4, off5,   13
0,    qua1, cin1, oct1, off1, off2, off3, off4, off5,   19
0,    qua1, cin1, sep1, off1, off2, off3, off4, off5,   22
0,    six1, oct1, non1, off1, off2, off3, off4, off5,   13
0,    cin1, oct1, non1, off1, off2, off3, off4, off5,   16
0,    cin1, six1, non1, off1, off2, off3, off4, off5,   22
0,    cin1, six1, oct1, off1, off2, off3, off4, off5,   25
0,    sep1, non1, dec1, off1, off2, off3, off4, off5,   16
0,    six1, non1, dec1, off1, off2, off3, off4, off5,   19
0,    six1, sep1, dec1, off1, off2, off3, off4, off5,   25
0,    six1, sep1, non1, off1, off2, off3, off4, off5,   28
0,    sep1, oct1, dec1, off1, off2, off3, off4, off5,   1
0,    ace1, oct1, dec1, off1, off2, off3, off4, off5,   19
0,    ace1, sep1, dec1, off1, off2, off3, off4, off5,   22
0,    ace1, sep1, oct1, off1, off2, off3, off4, off5,   28
0,    deu1, oct1, non1, off1, off2, off3, off4, off5,   1
0,    ace1, oct1, non1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, non1, off1, off2, off3, off4, off5,   22
0,    ace1, deu1, oct1, off1, off2, off3, off4, off5,   25
0,    tri1, non1, dec1, off1, off2, off3, off4, off5,   4
0,    deu1, non1, dec1, off1, off2, off3, off4, off5,   7
0,    deu1, tri1, dec1, off1, off2, off3, off4, off5,   25
0,    deu1, tri1, non1, off1, off2, off3, off4, off5,   28
0,    tri1, qua1, dec1, off1, off2, off3, off4, off5,   1
0,    ace1, qua1, dec1, off1, off2, off3, off4, off5,   7
0,    ace1, tri1, dec1, off1, off2, off3, off4, off5,   10
0,    ace1, tri1, qua1, off1, off2, off3, off4, off5,   28
0,    deu1, tri1, sep1, off1, off2, off3, off4, off5,   1
0,    ace1, tri1, sep1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, sep1, off1, off2, off3, off4, off5,   7
0,    ace1, deu1, tri1, off1, off2, off3, off4, off5,   19
0,    tri1, qua1, oct1, off1, off2, off3, off4, off5,   4
0,    deu1, qua1, oct1, off1, off2, off3, off4, off5,   7
0,    deu1, tri1, oct1, off1, off2, off3, off4, off5,   10
0,    deu1, tri1, qua1, off1, off2, off3, off4, off5,   22
0,    qua1, cin1, non1, off1, off2, off3, off4, off5,   7
0,    tri1, cin1, non1, off1, off2, off3, off4, off5,   10
0,    tri1, qua1, non1, off1, off2, off3, off4, off5,   13
0,    tri1, qua1, cin1, off1, off2, off3, off4, off5,   25
0,    cin1, six1, dec1, off1, off2, off3, off4, off5,   10
0,    qua1, six1, dec1, off1, off2, off3, off4, off5,   13
0,    qua1, cin1, dec1, off1, off2, off3, off4, off5,   16
0,    qua1, cin1, six1, off1, off2, off3, off4, off5,   28
0,    cin1, six1, sep1, off1, off2, off3, off4, off5,   1
0,    ace1, six1, sep1, off1, off2, off3, off4, off5,   13
0,    ace1, cin1, sep1, off1, off2, off3, off4, off5,   16
0,    ace1, cin1, six1, off1, off2, off3, off4, off5,   19
0,    six1, sep1, oct1, off1, off2, off3, off4, off5,   4
0,    deu1, sep1, oct1, off1, off2, off3, off4, off5,   16
0,    deu1, six1, oct1, off1, off2, off3, off4, off5,   19
0,    deu1, six1, sep1, off1, off2, off3, off4, off5,   22
0,    sep1, oct1, non1, off1, off2, off3, off4, off5,   7
0,    tri1, oct1, non1, off1, off2, off3, off4, off5,   19
0,    tri1, sep1, non1, off1, off2, off3, off4, off5,   22
0,    tri1, sep1, oct1, off1, off2, off3, off4, off5,   25
0,    oct1, non1, dec1, off1, off2, off3, off4, off5,   10
0,    qua1, non1, dec1, off1, off2, off3, off4, off5,   22
0,    qua1, oct1, dec1, off1, off2, off3, off4, off5,   25
0,    qua1, oct1, non1, off1, off2, off3, off4, off5,   28
0,    cin1, non1, dec1, off1, off2, off3, off4, off5,   1
0,    ace1, non1, dec1, off1, off2, off3, off4, off5,   13
0,    ace1, cin1, dec1, off1, off2, off3, off4, off5,   25
0,    ace1, cin1, non1, off1, off2, off3, off4, off5,   28
0,    deu1, six1, dec1, off1, off2, off3, off4, off5,   1
0,    ace1, six1, dec1, off1, off2, off3, off4, off5,   4
0,    ace1, deu1, dec1, off1, off2, off3, off4, off5,   16
0,    ace1, deu1, six1, off1, off2, off3, off4, off5,   28
0,    tri1, cin1, oct1, off1, off2, off3, off4, off5,   1
0,    ace1, cin1, oct1, off1, off2, off3, off4, off5,   7
0,    ace1, tri1, oct1, off1, off2, off3, off4, off5,   13
0,    ace1, tri1, cin1, off1, off2, off3, off4, off5,   22
0,    qua1, six1, non1, off1, off2, off3, off4, off5,   4
0,    deu1, six1, non1, off1, off2, off3, off4, off5,   10
0,    deu1, qua1, non1, off1, off2, off3, off4, off5,   16
0,    deu1, qua1, six1, off1, off2, off3, off4, off5,   25
0,    cin1, sep1, dec1, off1, off2, off3, off4, off5,   7
0,    tri1, sep1, dec1, off1, off2, off3, off4, off5,   13
0,    tri1, cin1, dec1, off1, off2, off3, off4, off5,   19
0,    tri1, cin1, sep1, off1, off2, off3, off4, off5,   28
0,    qua1, six1, oct1, off1, off2, off3, off4, off5,   1
0,    ace1, six1, oct1, off1, off2, off3, off4, off5,   10
0,    ace1, qua1, oct1, off1, off2, off3, off4, off5,   16
0,    ace1, qua1, six1, off1, off2, off3, off4, off5,   22
0,    cin1, sep1, non1, off1, off2, off3, off4, off5,   4
0,    deu1, sep1, non1, off1, off2, off3, off4, off5,   13
0,    deu1, cin1, non1, off1, off2, off3, off4, off5,   19
0,    deu1, cin1, sep1, off1, off2, off3, off4, off5,   25
0,    six1, oct1, dec1, off1, off2, off3, off4, off5,   7
0,    tri1, oct1, dec1, off1, off2, off3, off4, off5,   16
0,    tri1, six1, dec1, off1, off2, off3, off4, off5,   22
0,    tri1, six1, oct1, off1, off2, off3, off4, off5,   28
0,    qua1, sep1, non1, off1, off2, off3, off4, off5,   1
0,    ace1, sep1, non1, off1, off2, off3, off4, off5,   10
0,    ace1, qua1, non1, off1, off2, off3, off4, off5,   19
0,    ace1, qua1, sep1, off1, off2, off3, off4, off5,   25
0,    cin1, oct1, dec1, off1, off2, off3, off4, off5,   4
0,    deu1, oct1, dec1, off1, off2, off3, off4, off5,   13
0,    deu1, cin1, dec1, off1, off2, off3, off4, off5,   22
0,    deu1, cin1, oct1, off1, off2, off3, off4, off5,   28
0,    tri1, six1, non1, off1, off2, off3, off4, off5,   1
0,    ace1, six1, non1, off1, off2, off3, off4, off5,   7
0,    ace1, tri1, non1, off1, off2, off3, off4, off5,   16
0,    ace1, tri1, six1, off1, off2, off3, off4, off5,   25
0,    qua1, sep1, dec1, off1, off2, off3, off4, off5,   4
0,    deu1, sep1, dec1, off1, off2, off3, off4, off5,   10
0,    deu1, qua1, dec1, off1, off2, off3, off4, off5,   19
0,    deu1, qua1, sep1, off1, off2, off3, off4, off5,   28


@COLORS

1 56 181 238
2 112 223 245
3 20 96 161

4 142 148 255
5 184 195 255
6 62 71 178

7 199 124 255
8 231 174 255
9 104 24 148

10 243 92 221
11 255 168 239
12 124 36 104

13 255 112 97
14 255 182 174
15 145 47 26

16 255 137 66
17 255 198 144
18 131 78 15

19 227 175 32
20 243 228 95
21 123 100 21

22 145 201 42
23 183 247 89
24 91 118 21

25 68 208 42
26 115 252 103
27 36 126 21

28 16 202 165
29 95 242 212
30 32 119 106

Whenever a cell is born from 3 neighbors, the color of the new cell follows a S(3, 4, 8 ) or S(3, 4, 10) Steiner system respectively. Note that any quadruplet colors behave the same way as in QuadLife.

There are a total of 14 of them in Steiner8Life:

Code: Select all

x = 26, y = 6, rule = EV2Steiner8Life
AD2.DG2.GJ2.JM2.AM2.DP2.AG$JV2.MV2.PV2.SV2.PV2.SV2.SV3$GM2.AJ2.AD2.AD
2.DG2.AG2.DJ$PS2.PS2.MS2.GP2.JS2.JM2.MP!

And a total of 30 of them in Steiner10Life:

Code: Select all

x = 38, y = 10, rule = EV2Steiner10Life
AD2.DG2.GJ2.JM2.MP2.PS2.SV2.VpA2.pApD2.pDA$JM2.MP2.PS2.SV2.VpA2.pApD
2.pDA2.AD2.DG2.GJ3$AD2.DG2.GJ2.JM2.MP2.PS2.SV2.VpA2.pApD2.pDA$GS2.JV
2.MpA2.PpD2.SA2.VD2.pAG2.pDJ2.AM2.DP3$AG2.DJ2.GM2.JP2.MS2.PV2.SpA2.VpD
2.pAA2.pDD$MV2.PpA2.SpD2.VA2.pAD2.pDG2.AJ2.DM2.GP2.JS!

To convert between colors, select a region and click on one of these scripts:

to_color.zip

(6.63 KiB) Downloaded 7 times

[hotcrystal0]

Is there any way to colorize rules with both odd and even birth conditions like B34k/S23?

[Citation needed]

Is there any way to colorize rules with both odd and even birth conditions like B34k/S23?

Isotropic non-totalistic colourised Life
Ambox notice.png This article needs to be expanded with: Isotropic Non-totalistic Colourised Life.

In July 2024, ColorfulGalaxy designed a Colourised Life Rule where all live states are "created equal", and parent cells in three different colors do not generate a fourth color. The number of live states can be arbitrarily large.

This method of generating Colourised Life can be generalized to colourising INT rules without B0, B2c, B2e, B2i, B2n, B4c, B4e, B4i, B4w, B4z, B6i, B6n or B8.

[Empty Emptiness]

can someone get me a rule file for normal QuadLife?

[I6_I6]

can someone get me a rule file for normal QuadLife?

You can find it here:
https://conwaylife.com/wiki/Rule:QuadLife

Which comes from here:
viewtopic.php?p=75821#p75824

Code: Select all

@RULE QuadLife
@TREE
num_states=5
num_neighbors=8
num_nodes=122
1 0 0 0 0 0
2 0 0 0 0 0
1 0 1 2 3 4
2 0 2 2 2 2
3 1 3 3 3 3
1 1 1 2 3 4
2 2 5 5 5 5
1 2 1 2 3 4
1 4 1 2 3 4
1 3 1 2 3 4
2 2 5 7 8 9
2 2 5 8 9 7
2 2 5 9 7 8
3 3 6 10 11 12
2 2 7 7 7 7
2 2 8 7 9 5
2 2 9 7 5 8
3 3 10 14 15 16
2 2 9 9 9 9
2 2 7 5 9 8
3 3 11 15 18 19
2 2 8 8 8 8
3 3 12 16 19 21
4 4 13 17 20 22
2 5 0 0 0 0
3 6 24 24 24 24
2 7 0 0 0 0
2 8 0 0 0 0
2 9 0 0 0 0
3 10 24 26 27 28
3 11 24 27 28 26
3 12 24 28 26 27
4 13 25 29 30 31
3 14 26 26 26 26
3 15 27 26 28 24
3 16 28 26 24 27
4 17 29 33 34 35
3 18 28 28 28 28
3 19 26 24 28 27
4 20 30 34 37 38
3 21 27 27 27 27
4 22 31 35 38 40
5 23 32 36 39 41
3 24 1 1 1 1
4 25 43 43 43 43
3 26 1 1 1 1
3 27 1 1 1 1
3 28 1 1 1 1
4 29 43 45 46 47
4 30 43 46 47 45
4 31 43 47 45 46
5 32 44 48 49 50
4 33 45 45 45 45
4 34 46 45 47 43
4 35 47 45 43 46
5 36 48 52 53 54
4 37 47 47 47 47
4 38 45 43 47 46
5 39 49 53 56 57
4 40 46 46 46 46
5 41 50 54 57 59
6 42 51 55 58 60
3 1 1 1 1 1
4 43 62 62 62 62
5 44 63 63 63 63
4 45 62 62 62 62
4 46 62 62 62 62
4 47 62 62 62 62
5 48 63 65 66 67
5 49 63 66 67 65
5 50 63 67 65 66
6 51 64 68 69 70
5 52 65 65 65 65
5 53 66 65 67 63
5 54 67 65 63 66
6 55 68 72 73 74
5 56 67 67 67 67
5 57 65 63 67 66
6 58 69 73 76 77
5 59 66 66 66 66
6 60 70 74 77 79
7 61 71 75 78 80
4 62 62 62 62 62
5 63 82 82 82 82
6 64 83 83 83 83
5 65 82 82 82 82
5 66 82 82 82 82
5 67 82 82 82 82
6 68 83 85 86 87
6 69 83 86 87 85
6 70 83 87 85 86
7 71 84 88 89 90
6 72 85 85 85 85
6 73 86 85 87 83
6 74 87 85 83 86
7 75 88 92 93 94
6 76 87 87 87 87
6 77 85 83 87 86
7 78 89 93 96 97
6 79 86 86 86 86
7 80 90 94 97 99
8 81 91 95 98 100
5 82 82 82 82 82
6 83 102 102 102 102
7 84 103 103 103 103
6 85 102 102 102 102
6 86 102 102 102 102
6 87 102 102 102 102
7 88 103 105 106 107
7 89 103 106 107 105
7 90 103 107 105 106
8 91 104 108 109 110
7 92 105 105 105 105
7 93 106 105 107 103
7 94 107 105 103 106
8 95 108 112 113 114
7 96 107 107 107 107
7 97 105 103 107 106
8 98 109 113 116 117
7 99 106 106 106 106
8 100 110 114 117 119
9 101 111 115 118 120
@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 255 255 0

[hotcrystal0]

I think I’ve found a coloring scheme that allows for colorized CA with any birth condition except for B6. There are 3 alive states here. How this works is as follows:
When 1 state is involved in birth, that state is born. Self-explanatory.
When 2 states are involved in birth:

• if the birth condition is even and there’s a tie, then the third state is born
• otherwise, majority wins

When 3 states are involved in birth:

• if there is a two-way tie, then the third state is born
• for B3 only: choose one cell contributing to the birth, the state located there when B3 happens is the one that is born
• otherwise, majority wins

The reason this doesn’t work with B6 is because of the following three-way-tie case:

Code: Select all

x = 3, y = 3, rule = B3/S23Super
2A$B$B2C!

While you could solve it in the same way that B3 is solved (by choosing a specific cell), this would break symmetry for conditions such as B6n. Is there any way to extend this to B6 that still preserves symmetry?

Also, can someone write a script to generate one of these colorized rules for any INT rule without B6?