Probably, but I haven’t seen any. You’d just need to find a conduit which changes the color of something without any parts of the conduit. Sadly, a lot of conduits don’t work like that.PkmnQ wrote:So is it possible to create a reflector in Immigration which always inverts the color from red to blue and blue to red?
How about a reflector which turned one color into its anti-state in NiemecLife?
Code: Select all
x = 17, y = 23, rule = Immigration
6.2A3.2A$6.2A2.A.3A$10.A4.A$6.4A.2A2.A$6.A2.A.A.A.2A$9.A.A.A.A$10.2A.
A.A$14.A2$2A$.A7.2A$.A.A5.2A$2.2A7$12.2A$3.2B7.A$2.B.B8.3A$4.B10.A!
Code: Select all
x = 6, y = 13, rule = Immigration
.2A$2.A$.A$.2A6$B3.2A$2B2.2A$.2B$2B!
Code: Select all
x = 41, y = 36, rule = Immigration
2.B$B.B$.2B10$25.A$23.3A$22.A$22.2A$7.2A$8.A$8.A.2A$9.A2.A23.A$10.2A
24.A$25.2A9.3A$25.2A11.A4$34.A3.2A$33.A.A3.A$32.A.A3.A$28.2A.A.A3.A$
28.2A.A2.4A.A$32.A.A3.A.A$28.2A.2A2.A2.A.A$29.A.A2.2A3.A$17.2A10.A.A$
17.2A11.A!
Code: Select all
x = 17, y = 19, rule = Immigration
16.B$14.2B$15.2B10$4.2A$3.A2.A$3.A.A$.2A.A$A2.A$A.A$.A!
Code: Select all
x = 84, y = 87, rule = Immigration
16.B$14.2B$15.2B10$4.2A$3.A2.A$3.A.A$.2A.A$A2.A$A.A$.A3$17.A$16.A$16.
A4.A$16.5A38$78.A$76.2A$77.2A10$66.2A$65.A2.A$65.A.A$63.2A.A$62.A2.A$
62.A.A$63.A3$79.A$78.A$78.A4.A$78.5A!
Code: Select all
x = 36, y = 19, rule = Immigration
23.A$22.A$18.B3.3A$.A14.2B$2.A14.2B$3A5$16.3A$16.A16.2B$17.A15.B.B$
33.B$2.2B$3.2B$2.B9.3B$12.B$13.B!
Actually, that’s only true when the bottom loaf is the color of the Glider; otherwise the top has the last say:PkmnQ wrote:For the HB, I found out that the bottom loaf dictates the glider color, and the top loaf dictates the reconstructed HB's loaves.
Code: Select all
x = 49, y = 20, rule = Immigration
48.A$16.B29.2A$14.2B31.2A$15.2B9$36.2B$4.2B29.B2.B$3.B2.B28.B.B$3.B.B
27.2A.B$.2A.B27.A2.A$A2.A28.A.A$A.A30.A$.A!
Code: Select all
x = 49, y = 55, rule = Immigration
48.A$16.B29.2A$14.2B31.2A$15.2B9$36.2B$4.2B29.B2.B$3.B2.B28.B.B$3.B.B
27.2A.B$.2A.B27.A2.A$A2.A28.A.A$A.A30.A$.A16$48.A$16.B29.2A$14.2B31.
2A$15.2B9$36.2A$4.2A29.A2.A$3.A2.A28.A.A$3.A.A27.2A.A$.2A.A27.A2.A$A
2.A28.A.A$A.A30.A$.A!
Code: Select all
x = 116, y = 55, rule = Immigration
48.A66.A$16.B29.2A35.B29.2A$14.2B31.2A32.2B31.2B$15.2B65.2A9$36.2B65.
2B$4.2B29.B2.B32.2B29.B2.B$3.B2.B28.B.B32.B2.B28.B.B$3.B.B27.2A.B33.B
.B27.2A.B$.2A.B27.A2.A32.2A.B27.A2.A$A2.A28.A.A32.A2.A28.A.A$A.A30.A
33.A.A30.A$.A66.A16$48.A66.A$16.B29.2A35.B29.2A$14.2B31.2A32.2B31.2B$
15.2B65.2A9$36.2A65.2A$4.2A29.A2.A32.2A29.A2.A$3.A2.A28.A.A32.A2.A28.
A.A$3.A.A27.2A.A33.A.A27.2A.A$.2A.A27.A2.A32.2A.A27.A2.A$A2.A28.A.A
32.A2.A28.A.A$A.A30.A33.A.A30.A$.A66.A!
Code: Select all
x = 8, y = 5, rule = QuadLife
ABC2.ABD3$.D4.C$D.D2.C.C!
That's a good question. The other thing I'd like to see is an oscillator in QuadLife where for each of the colours there's a phase where that colour is completely missing.fluffykitty wrote:What about in QuadLife? Monotonicity doesn't hold there.Code: Select all
x = 8, y = 5, rule = QuadLife ABC2.ABD3$.D4.C$D.D2.C.C!
Is there a mathematical proof for this statement?Macbi wrote: May 9th, 2019, 12:43 pm I believe that in Immigration changing the colour of a cell in one generation can only change cells in later generations in the same direction. So a colour changing reflector is impossible.
Code: Select all
x = 31, y = 27, rule = Immigration
7.2A$3.2A3.A$3.A2.A4.2A$4.4A3.2A3.2A12.A$16.A.A.2A.A4.2A$6.2A10.A.A.
2A5.2A$5.A.A10.2A$5.2A6$13.2B$12.B2.B$13.2B3$2.2A$.A.A7.A6.2A$.A8.A.A
5.2A$2A4.2A.A.A$5.A.A.A.A.A$5.A4.A.2A$6.3A.A$8.A.A$9.A!
Prove:Entity Valkyrie 2 wrote: February 28th, 2026, 1:45 amIs there a mathematical proof for this statement?Macbi wrote: May 9th, 2019, 12:43 pm I believe that in Immigration changing the colour of a cell in one generation can only change cells in later generations in the same direction. So a colour changing reflector is impossible.
Also, unlike the Snark, when a glider hits a Snark64, the color of the beehive determines the output glider's color:Code: Select all
x = 31, y = 27, rule = Immigration 7.2A$3.2A3.A$3.A2.A4.2A$4.4A3.2A3.2A12.A$16.A.A.2A.A4.2A$6.2A10.A.A. 2A5.2A$5.A.A10.2A$5.2A6$13.2B$12.B2.B$13.2B3$2.2A$.A.A7.A6.2A$.A8.A.A 5.2A$2A4.2A.A.A$5.A.A.A.A.A$5.A4.A.2A$6.3A.A$8.A.A$9.A!
Code: Select all
x = 148, y = 118, rule = LifeSuper
63.2pA$63.2pA$3.2G.2G2.2pA4.2pA2.Q2.2Q.Q4.W6.2W2.2G.G2.2G.G2.E2.2E.E
6.2S.2S.S12.2G.2G2.2pA4.2pA2.2A4.2A12.2Q.2Q2.2E4.2E2.2A4.2A$2.G.G.2G
2.pA6.pA2.4Q.2Q3.W.W5.W3.G.2G2.G.2G2.4E.2E5.S.S.S.2S11.G.G.2G2.pA6.pA
2.A5.A12.Q.Q.2Q2.E6.E2.A5.A$.G.G7.pA4.pA13.W2.W5.W6.2G17.S.S16.G.G7.pA
4.pA4.A5.A10.Q.Q7.E4.E4.A5.A$.G8.2pA4.2pA2.2Q7.2W3.W3.2W6.G7.2E9.S18.
G8.2pA4.2pA2.2A4.2A10.Q8.2E4.2E2.2A4.2A$2G8.pA6.pA2.Q12.2W3.W8.G6.E
11.S16.2G8.pA6.pA2.A5.A10.2Q8.E6.E2.A5.A$G11.pA.3pA5.Q.2Q3.2W2.W5.W6.
2G8.E.2E7.S.2S12.G11.pA.3pA4.A5.A9.Q11.E.3E4.A5.A$.G9.3pA.pA5.3Q.Q3.W
5.W2.2W6.G8.3E.E8.2S.S12.G9.3pA.pA4.2A4.2A10.Q9.3E.E4.2A4.2A$2G8.pA6.
pA2.Q9.W3.2W11.G6.E17.S10.2G8.pA6.pA2.A5.A10.2Q8.E6.E2.A5.A$G9.2pA4.
2pA2.2Q7.2W3.W3.2W6.2G6.2E17.S9.G9.2pA4.2pA3.A5.A9.Q9.2E4.2E3.A5.A$.G
9.pA4.pA12.W5.W2.W7.G24.S.S10.G9.pA4.pA3.2A4.2A10.Q9.E4.E3.2A4.2A$2.G
.2G.G2.pA6.pA2.4Q.2Q3.W5.W.W8.G6.4E.2E4.2S.S.S.S12.G.2G.G2.pA6.pA4.2A
.A13.Q.2Q.Q2.E6.E4.2A.A$3.2G.2G2.2pA4.2pA2.Q2.2Q.Q2.2W6.W8.2G6.E2.2E.
E4.S.2S.2S14.2G.2G2.2pA4.2pA4.A.2A14.2Q.2Q2.2E4.2E4.A.2A58$73.2J$72.
2J2I$59.2I10.2IJ2IJ$58.JIJI8.I7J$57.J2I3J7.4J2I2J$56.6JIJ5.6JI3J$56.
4J3IJ5.2I3JI2JIJ$55.5JIJI2J3.J5I3JI2J$44.3J.3J4.JI3JI2JIJ4.8JIJ$43.J
2IJ.J2IJ2.JIJIJ5I2J5.J4.J$43.JIJI.IJIJ3.JI3J2IJIJ34.2E.2Q.2Q.2E$44.IJ
I.IJI6.J4.J35.E.E.2Q.2Q.E.E$43.3JI.I3J45.E13.E$43.2J2I.2I2J44.E15.E$
44.J2I.2IJ44.E10.K4.2E$95.2E8.K2LK$105.K2LK2.2D$35.D10.Q.Q46.2D10.K4.
D$34.D.D7.3Q.3Q44.2D14.D$35.D7.A7.E4.O5.O4.O4.O4.O4.O3.O20.K3.2D$42.O
.E5.E.E2.O2.O.O2.O.O2.O.O2.O.O2.O.O2.O2.O2.2K4.2G8.3K$35.G4.3O.E4.E2.
E2.O2.O.O2.O.O2.O.O2.O.O2.O.O2.O2.O3.K3.G2.G6.E6.2pA$34.G.G2.pA4.2E3.
E.E5.O3.O4.O4.O4.O4.O8.K.2EG2.G2S3.E.Q5.pA$34.G.G2.pA.2W3.B3.E40.E3.
2G3.pA.E2.Q6.pA$33.2G.2G.pA.W.2O3A3.3B38.2AB2.ABApA.S.2Q.2E2.2pA$34.I
.A2.pAMB.B.B2A.4B2A.2A3B2A3B2A3B2A3B2A3B2A3B2A4B.BAB2A2.B.S2.B.E.BA$
34.E.2AB.A.4AB2A2B2AB2A3B2A3B2A3B2A3B2A3B2A3B2A3B2A2B3.ABAB2A.ABA.BAB
3A$35.E2.B2AB.A.ABAB2AB.B.A3B2A3B2A3B2A3B2A3B2A3B2A3B2AB2AEC.BABAB2A.
2A2B.B2.A$31.2pA3.EI3.pA.E2.E3.2B2pA2.2A3B2A3B2A3B2A3B2A3B2A3B2A3BA2B
.CA6.2B2A2B3.2A$29.2B.pA5.2I.pA.2E.E.2O2.pA39.B2.E8.4B$29.BAB6.I.2pA.
E2.E.2O4.pA37.2pA.E.E14.2pA$28.ABA3.2pA8.2E7.2pA16.pA8.2pA11.pA2.2E
14.pA$27.3B3.A.pA19.2E2.2E9.pA.pA6.pA2.pA8.pA.pA19.pA$26.ABA3.B.B20.E
.BA.E5.BA3.pA3.BA3.2pA3.BA4.2pA6.BA7.AB4.pA$25.3B3.A.A4.BA3.BA3.BA6.A
2.B5.ABAB5.ABAB6.ABAB.2E7.ABAB5.BABA4.pA$24.ABA3.B.B4.ABAB.ABAB.ABAB
4.B4.A3.B4.A3.B4.A4.B4.A.E6.B4.A3.A4.B4.pA$22.4B3.A.A4.G4.E4.O4.A2.2A
4.2B.2A4.2B.2A4.2B2.2A5.B6.2A4.2B.2B4.2A2.2pA$22.B2A3.B.B4.G.3EG.G2EO
.O3EB2.2B4.2A.2B4.2A.2B4.2A2.2B5.A6.2B4.2A.2A4.2B$21.G.B3.G.A6.G4.G4.
E4.A3.A4.B3.A4.B3.A4.B4.A4.B.G.GE3.A4.B3.B4.A3.2G$21.2G4.2G8.ABAB.ABA
B.ABAB5.BABA5.BABA5.BABA6.BABA.GE.EG4.BABA5.ABAB4.2G$38.BA3.BA3.BA7.A
B7.AB7.AB8.AB12.AB7.BA2$9.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D
2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D
2.D2.D2.D2.D2.D2.D2.D$7.135B$6.D$7.135B$9.D2.D2.D2.D2.D2.D2.D2.D2.D2.
D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.
D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D2.D!