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B368/S12578

Posted: October 12th, 2026, 9:43 pm
by LaundryPizza03
This is a mildly explosive rule with 2x2's c/8d crawler and a small 4c/13o replicator documented by Eppstein.

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x = 1, y = 5, rule = B368/S12578
o$o$o$o$o!
This should be an effective model of Hickerson's 12-unit push and pull mechanisms:

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x = 146, y = 120, rule = MAPAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASuper
4P16.C.A7.A49.5P15.C.A$P3.P13.HF60.P17.HF$P3.P2.3P70.P6.3P$4P6.P69.5P
5.P$P3.P2.4P9.F.F57.P6.4P9.D.D.D.D$P3.P.P3.P12.F56.P5.P3.P7.JF$4P3.4P
69.P6.4P4$20.D.D7.D.D3.D3.D$18.JF9$4P2.P13.C.A57.5P.P13.C.A.A.A.A$P3.
P.P11.JF60.P5.P11.JF$P3.P.P73.P5.P$4P2.P.2P70.5P.P.2P$P3.P.2P2.P9.D.D
.D.D53.P5.2P2.P$P3.P.P3.P7.LF60.P5.P3.P$4P2.4P70.P5.4P5$99.D3.D11.D3.
D$97.LF8$4P16.C3.A3.A.A49.5P15.C3.A.A.A.A.A3.A.A$P3.P13.LF60.P17.LF$P
3.P2.4P9.F59.P6.4P9.F$4P2.P73.5P.P$P3.P.P73.P5.P$P3.P.P73.P5.P$4P3.4P
69.P6.4P$23.D5.D.D5.D61.F.F$21.HF11$99.D3.D7.D.D5.D.D5.D.D.D5.D$97.NF
10$80.5P5.P9.C5.A.A3.A.A3.A3.A$80.P9.P7.NF.F$80.P9.P$80.5P2.2P.P$80.P
5.P2.2P$80.P5.P3.P10.F$80.P6.4P3$101.F$102.F13$99.D3.D15.D.D5.D.D.D5.
D5.D.D$97.PF6$80.5P15.C3.A.A3.A3.A3.A$80.P17.PF.F$80.P6.3P$80.5P.P3.P
10.F$80.P5.5P$80.P5.P$80.P6.4P13.F5$101.F7$100.D3.D3.D.D.D.D3.D.D.D
13.D$98.HF!
At the moment, I'm attempting to unite these pieces in order to build a 12c/975o repship (3 units every 75 time steps for the replicator) with the push and pull mechanisms. What's the fastest way to find the missing middle? Is there an alternative phasing that works better?

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x = 208, y = 97, rule = MAPAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASuper
2.T16.T.2T7.T.3T.3T.3T$.T13.2T.2T3.T6.T.T.T3.T.T$10T.T.T5.T2.T2.2T2.T
2.3T2.T2.2T2.3T$.T9.T.T.2T2.T.T3.T2.T5.T2.T4.T.T.T$2.T9.T6.T.3T.2T.T
3.3T2.T2.2T2.3T6$5.R71JR49.R77LR$5.R71JR49.R77LR$5.R71JR49.R77LR$5.R
71JR49.R77LR2$5.A.A9.A19.A3.A.A3.A.A.A5.A3.A3.A5.A3.A.A53.A7.A.A.A.A
7.A3.A.A3.A9.A.A.A.A5.A3.A.A3.A7.A.A$3.HF201.FH3$203.F.F$3.JF197.F5$
203.D.D$206.FJ4$206.TL$2.LF203.L$4.F202.L$207.L$207.L$207.L$207.L$3.F
.F201.L$207.L$207.L$207.L$195.D.D3.D3.D.L$206.FL$205.F6$203.TH$.NF.F
199.H$204.H$204.H$204.H$4.F199.H$204.H$204.H$204.H$4.F199.H$5.F198.H$
204.H$204.H$204.H$204.H$204.H$204.H$204.H$204.H$204.H$204.H$204.H$
204.H$204.H$PF.F200.H$204.H$3.F200.H$204.H$204.H$6.F197.H$204.H$204.H
$204.H$204.H$3.F200.H$204.H$204.H$204.H$204.H$204.H$204.H$204.H$HF
201.FH2$2.R71JR49.R77LR$2.R71JR49.R77LR$2.R71JR49.R77LR$2.R71JR49.R
77LR!
Respectively, these solutions physically represent:

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#C [[ STEP 13 STOP 975 ]]
x = 313, y = 28, rule = B368/S12578History
D11.E$D11.E3.A7.A39.A79.A15.A7.A15.A7.A7.A23.A15.A15.A23.A15.A7.A$16.
A7.A39.A79.A15.A7.A15.A7.A7.A23.A15.A15.A23.A15.A7.A$16.A7.A39.A79.A
15.A7.A15.A7.A7.A23.A15.A15.A23.A15.A7.A$16.A7.A39.A79.A15.A7.A15.A7.
A7.A23.A15.A15.A23.A15.A7.A$D11.E3.A7.A39.A79.A15.A7.A15.A7.A7.A23.A
15.A15.A23.A15.A7.A$D11.E15$10.E11.D$10.E5.A5.D.A31.A15.A7.A15.A23.A
7.A7.A7.A39.A15.A7.A15.A31.A7.A7.A7.A31.A$16.A7.A31.A15.A7.A15.A23.A
7.A7.A7.A39.A15.A7.A15.A31.A7.A7.A7.A31.A$16.A7.A31.A15.A7.A15.A23.A
7.A7.A7.A39.A15.A7.A15.A31.A7.A7.A7.A31.A$16.A7.A31.A15.A7.A15.A23.A
7.A7.A7.A39.A15.A7.A15.A31.A7.A7.A7.A31.A$10.E5.A5.D.A31.A15.A7.A15.A
23.A7.A7.A7.A39.A15.A7.A15.A31.A7.A7.A7.A31.A$10.E11.D!