ConwayLife.com

Posted: **March 25th, 2022, 9:57 am**

x = 75, y = 83, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/21
24$68.A2$64.A$15.LMNOPQRST8.ABCDEFGHIJKLMNOPQRST8.ABC8.A$14.L.MNOPQRS
T8.ABCDEFGHIJKLMNOPQRST8.ABCDABA$14.2M45.DEBC2A$14.2N44.D.EFE$14.2O37.
A5.D2EGF.E.A$14.2P41.A.DE2FH2F$14.2Q38.2A3.E.HIFG2E$14.2R35.A2.AB2DEF
H.IJI4.2T$14.2S37.ACB2EGE2IKJI.A2.2S$14.2T36.A2BDBFEHG2JLJ4.2R$50.A2.
2ABC3.GOMJKJ3.2Q$41.A14.B.A.OPLNM2.A.2P$43.C2.A.2A4.A5.QNON.M$39.A2.C
DF3.ABA8.2PRQ.2NM3.A$41.CECGF2ECB.A8.SR.QONM.A$40.CDC2FH2FCD2BA7.ST2R
OPN$19.A20.ABCHIFGCE2C2A6.S.2SOQ2ON$21.FE4.A7.A4.ABH.IJIDC.B8.TS.RPO.
N$14.2A2.A.GF.E5.O7.C2A.H2IKJ.ICB8.QPSR.2ON$14.2B4.FH2FD3.OPO5.CD2BH.
I2JL2J9.2PR2PO.N$14.2C3.HIFGCE.A.QO5.DEBCH2I.LMJKPQ8.O.PQ2ON$14.2D.A.
HIJIDC3.QR.A2.D.EFH.IJL.MNP.QR5.PONOPO.N$14.2E3.IKI3.P2QSR3.C2EGE2IKI
2MOM2QSQ.T2.QP.ON2ON$14.2F.A.JIL.A.PQ2RT2RC2DFE2HJI2LNM2PRQ2T.2TPR2PO
.N$14.2G3.LMK3.Q.T.RS2.C.DEG.HIK.LMO.PQS.T.2SPQ2ON$12.F.2HIJL.MN2PQRT
7.CDABG2H.KLIJO2P.STS.RPO.N$9.A.EGF2IKI2MOM2QSQ8.2AC2AG.H2IK2IO.PQPSR
.2ON2A$11.FEHGJILKNM2PRQ2T7.ABA3.G2HJI.H.O2PR2PO.N.ABA$12.E3.IK3.O.PQ
S.T7.2A4.G.HIHGHIO.PQ2ON2AC2A$10.A3.A4.A2.O2P.STQR.A10.G2HGH.IJOPO.NH
GBADC7.A$23.O.P2QSQ13.2GH2IKIMLONIH.GED.C2A$24.O2PRQP11.2T3.HJI2LN2LH
J2HDF2DABA$25.2OPQP.PQ11.A.GHIK.LM2KHI2GDE2C2A6.A$28.P2.PQR5.T.A4.G2H
.KLK.JHG.FDC.B$26.A4.QSQ5.T9.HIHKJ.2GF2ACB7.A$29.A.RQ2T3.TNM5.A.G2HJ2H
G.F.ABA$31.OQS.T.TON.M7.G.HI2GF3.2A$30.O2P.STQRNP2NM4.A2.GHG.F8.A$31.
O.P2QS2QNOM9.FGF$32.O2PRQ.PNML.A8.F8.A$33.O.PQP.2ML3.A4.A$34.OPMNM.LF
E.ABA.A$35.NOKMLGF.ECB4.A$36.NLIJGH2FCD2BA$34.A2.JKGI2GCE2C2A$38.JHG.
FDC.B3.A$36.A.EDGF.2C$38.DF2DC.B.A$8.ABCDEFGHIJKLMNOPQRST8.ABCDE2CB$8.
ABCDEFGHIJKLMNOPQRST8.ABCDC2B2$39.A.A!

Code: Select all

x = 73, y = 83, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/21
20$24.A2.A3.A3.A2.A$29.S$22.A.OP2NST2R9.A$24.QNOT.RS$22.P.QRT$19.A.O2Q
SR16.A$21.PN2RTR$20.2MOQ.RS$21.NKLQ2R3.ST15.TSRQPONMLKJIHGFEDCBA$19.A
.KM2KQ.R2S.2S14.TSRQPONMLKJIHGFEDCBA$21.LK.JDQ2RTS$20.2IKJED.Q.RS$21.
JGHDF2DQR$19.A.GI2GDE2C16.A$21.HG.FDC.B$20.2EGF.2CB$21.FCDC.B19.A$19.
A.CE2CB$21.DC.B$20.2ACB$21.BA18.A$19.A.2A$39.A2$35.A$19.A3$31.A11.2T$
19.A23.2S$43.2R$43.2Q$27.A15.2P$19.A23.2O$24.A18.2N$43.2M$19.A23.2L$24.
A18.2K$43.2J$21.A21.2I$43.2H$43.2G$43.2F$43.2E$43.2D$43.2C$43.2B$43.2A
!

first one can probably be reduced with about the same thing happening, but I think I reduced the second one enough.

EDIT: could somebody develop this a bit more?

Code: Select all

x = 77, y = 43, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
10$19.A.A.A.A.A$29.A.A.A3.A3.A3.A3.A3.A3.A3.A3.A3.A$13.A.A.A.A15.G3.C
$34.GHEFCDABA$22.2A9.G.2GCE2C2A$9.GHE9.2AB9.HG.FDC.B30.A$10.FG10.2A8.
EDGF.2CB$31.2DF2DC.B$13.A.A.A.A9.A.C.DE2CB$21.A.A.A.A4.CDC.B8.A7.A7.A
7.A$32.2ACB3.A.A13.A.A$33.BA$31.A.2A$36.A15.A15.A$31.A15.A15.A$36.A15.
A15.A$27.A.A.A15.A15.A$24.A11.A15.A15.A$43.A.A.A11.A.A.A$36.A3.A11.A3.
A11.A$23.A$28.A.A.A.A.A15.A15.A$39.A15.A$28.A15.A.A.A.A.A7.A.A.A.A.A$
23.A$28.A15.A15.A$39.A15.A$44.A15.A!

Posted: **March 25th, 2022, 3:49 pm**

Here's something

Code: Select all

x = 75, y = 28, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
10.A.A.A.A.A$20.A.A.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A$4.A.A.A.A15.
G3.C$25.GHEFCDABA$13.2A9.G.2GCE2C2A$GHE9.2AB9.HG.FDC.B42.A$.FG10.2A8.
EDGF.2CB$22.2DF2DC.B$4.A.A.A.A9.A.C.DE2CB$12.A.A.A.A4.CDC.B8.A7.A7.A7.
A4.A2.A2.A$23.2ACB3.A.A13.A.A$24.BA$22.A.2A$27.A15.A15.A$22.A15.A15.A
$27.A15.A15.A$18.A.A.A15.A15.A$15.A11.A15.A15.A$34.A.A.A11.A.A.A$27.A
3.A11.A3.A11.A$14.A$19.A.A.A.A.A15.A15.A$30.A15.A$19.A15.A.A.A.A.A7.A
.A.A.A.A$14.A$19.A15.A15.A$30.A15.A$35.A15.A!

Posted: **March 25th, 2022, 3:55 pm**

Extensible binary counter

Code: Select all

x = 54, y = 21, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
A.A.A.A.A.A.A.A.A.A.A.A.A.A2$A7.H.FGDEBC2A8.A$9.GHEFCDABA$A25.A$5.A.A
.A.A.A.A.A.A.A$A25.A.A.A.A.A.A.A.A.A.A.A.A.A.A$5.A15.A$A$5.A15.A31.A$
A$5.A15.A12.A7.A3.A3.A$A25.A.A3.A3.A3.A3.A3.A3.A$5.A15.A$A25.A$5.A.A.
A.A.A2.A2.A.A$A25.A2$A25.A2$A.A.A.A.A.A.A.A.A.A.A.A.A.A!

Posted: **March 25th, 2022, 4:18 pm**

4 barreled gun

Code: Select all

x = 47, y = 50, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
14.A2$14.2A$14.2B$14.2C$14.2D$14.2E$14.2F$14.2G$14.2H5$14.2A$14.2B$14.
2C$14.2D$14.2E$14.2F$12.A.2G2.A$A.DEFGH7.2H$2.DEFGH3.2A6.A$10.BA.H$8.
A.ACE.G.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$10.DBFEH$9.2CEDGFEDCBA4.HGFEDCB
A4.HGFEDCBA$9.2B3.FEDCBA4.HGFEDCBA4.HGFEDCBA2.A$9.2A.A$34.A3.A$12.A.A
.A.A.A5.A5.A3.A3.A3.A$42.A$10.A9.A11.A$26.A$20.A$26.A5.A$20.A$26.A5.A
$20.A2.A$26.A5.A2$27.A4.A2$27.A4.A2$27.A4.A2$27.A4.A2$30.A!

Posted: **March 25th, 2022, 6:03 pm**

Here, me, the pest, displays the most useless pattern in the world.

Code: Select all

x = 35, y = 25, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
18.HGFEDCBA$18.HGFEDCBA$17.HGFEDCBA$17.HGFEDCBA2$16.2HFE2DBA$18.EG2EA
C2A$A3.A3.A.A6.2H2F2D2BA$17.FGFEBCBA$10.A3.A2.HAFEDABA$A6.H4.B$8.FGDE
BC2A.HGFEDCBA$5.A.FH2FBD2BA.HGFEDCBA.HGFEDCBA$A6.GF.ECB2A11.HGFEDCBA$
3.ABADCF$3.2ACBED.A.A3.A3.A3.A.HGAEDC2A$26.HEFEDABA$A2.A2.A.A.A16.2G
2E2C2A$24.H.2HDF2DABA$25.H2GED2C2A2$26.HGFEDCBA$26.HGFEDCBA$27.HGFEDC
BA$27.HGFEDCBA!

And who needs such an ugly ship to be the third speed in this rule?

Code: Select all

x = 5, y = 5, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
BCFG$ABDFH$2ACEG$ABDFH$ADEH!

Edit:because how good the rule is, a pest like me doesn't know how to synthesize things like the c/2d, and you absolutely don't need to help a random pest(or the only pest, see, I'm very special)

Posted: **March 29th, 2022, 11:20 pm**

A 5 state rule:

Code: Select all

x = 46, y = 22 rule = b2kan3c4nyrt6c/s1c2ckan3inq4nyrz5qr6c/5
29.DCBA$29.DCBA$27.DCBA$25.DCBA10.C.A.A$30.2A8.D.BC2A$.C.A.A24.2B7.
C.ADABA$2.D.BC2A22.2C9.CA.A$3.CDABA22.2D5.A.CB2.A$D.B.A.A29.A3.D.AC
2A$35.A.A2C2ADABA$10.ABCD12.ABCD7.ABD.BC2A$10.ABCD12.ABCD7.ABD.BC2A
$35.A.A2C2ADABA$D.B.A.A29.A3.D.AC2A$3.CDABA22.2D5.A.CB2.A$2.D.BC2A22.
2C9.CA.A$.C.A.A24.2B7.C.ADABA$30.2A8.D.BC2A$25.DCBA10.C.A.A$27.DCBA
$29.DCBA$29.DCBA!

Code: Select all

x = 34, y = 17 rule = b2kan3c4nyrt6c/s1c2ckan3inq4nyrz5qr6c/5
5.C.A.A$6.D.BC2A$5.C.ADABA15.C.A.A$2.C4.CB.A17.D.BC2A$.D.D.A2.BA17.
B.CDABA$C.D.A.2A20.C.C2A$2.D2.C.D3.A3.A3.A3.A2.BADC$6.B.C.A.A.A.A.A
.A.A.A.ACA2$6.B.C.A.A.A.A.A.A.A.A.ACA$2.D2.C.D3.A3.A3.A3.A2.BADC$C.
D.A.2A20.C.C2A$.D.D.A2.BA17.B.CDABA$2.C4.CB.A17.D.BC2A$5.C.ADABA15.
C.A.A$6.D.BC2A$5.C.A.A!

Code: Select all

x = 42, y = 15 rule = b2kan3c4nyrt6c/s1c2ckan3inq4nyrz5qr6c/5
3.C.A.A$4.D.BC2A$3.C.ADABA$2.A.D.C2A25.D.B.A.A$.B.BDA31.CDABA$A.BCA
.A29.D.BC2A$2.B2.A.B3.A3.A3.A3.A3.A3.A3.A.A.A$2.D3.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A$2.B2.A.B3.A3.A3.A3.A3.A3.A3.A.B.A$A.BCA.A31.2C2A$.B.B
DA32.2C2A$2.A.D.C2A26.D.B.A$3.C.ADABA$4.D.BC2A$3.C.A.A!

Code: Select all

x = 11, y = 15 rule = b2kan3c4nyrt6c/s1c2ckan3inq4nyrz5qr6c/5
4.C.A.A$5.D.BC2A$4.C.ADABA$2.AB.D.C2A$.2ACAC2A$A.D.DABA$.A.C.2A2$.A
.C.2A$A.D.DABA$.2ACAC2A$2.AB.D.C2A$4.C.ADABA$5.D.BC2A$4.C.A.A!

Brian Prentice

Posted: **April 1st, 2022, 5:34 pm**

Plenty to explore in this rule:

Code: Select all

x = 141, y = 50, rule = b2kai3nr4r5nr6en8/s02eki3kaj4r5r6ekan/5
47.2A$47.AB$46.BAC$46.ACD$46.DA$46.C$47.C2$87.D.BC.A$85.CDABDAB2A$84.
CABA2.DCBA$81.D2.BA25.D.BC.A$80.D.D.2A23.CDABDAB2A$108.CABA2.DCBA$77.
C27.D2.BA$78.C25.D.D.2A$63.2A12.AD$63.AB11.DCA22.C$62.BAC11.CAB23.C
32.CDAB$62.ACD11.BA23.AD28.D.BC.AC3A$16.ABCD28.ABCD10.DA5.A6.2A22.D
CA26.D.DB2A2.DCBA$A3.A11.3ACD.D25.3ACD9.C37.CAB26.C2.2A$18.BACD9.A18.
B.BD9.C36.BA23.D.DCDC$17.2AC14.A16.BCB16.A14.A7.D3.DCA.A24.D$16.3AD
74.C2.DCBA24.D$16.3AD74.DC8.ABCD12.ABCD$17.2AC14.A16.BCB16.A14.A18.
ABCD12.ABCD$18.BACD9.A18.B.BD9.C61.D$A3.A11.3ACD.D25.3ACD9.C63.D$16.
ABCD28.ABCD10.DA5.A6.2A47.D.DCDC$62.ACD11.BA51.C2.2A$62.BAC11.CAB50.
D.DB2A2.DCBA$63.AB11.DCA52.D.BC.AC3A$63.2A12.AD56.CDAB$78.C$77.C2$80.
D.D.2A$81.D2.BA$84.CABA2.DCBA$85.CDABDAB2A$87.D.BC.A2$47.C$46.C$46.
DA$46.ACD$46.BAC$47.AB$47.2A!

Code: Select all

x = 258, y = 64, rule = b2kai3nr4r5nr6en8/s02eki3kaj4r5r6ekan/5
49.DCBA$49.DCBA3$164.DCBA$164.DCBA2$164.2A$164.AB$99.D.BC.A58.BAC$97.
CDABDAB2A57.ACD$95.CDC2A2.DCBA57.DA$94.DCA66.C$94.CAB67.C$94.BA$94.
2A108.D.BC.A$202.CDABDAB2A$37.CDAB46.C113.CABA2.DCBA$33.D.BC.AC3A45.
C109.D2.BA25.D.BC.A$31.D.DB2A2.DCBA22.2A20.AD108.D.D.2A23.CDABDAB2A
$31.C2.2A29.AB19.DCA136.CABA2.DCBA$27.D.DCDC31.BAC19.CAB105.C27.D2.
BA$28.D35.ACD19.BA107.C25.D.D.2A$27.B36.DA20.2A92.2A12.AD$27.DB35.C
115.AB11.DCA22.C$26.DAC36.C13.C99.BAC11.CAB23.C32.CDAB$26.CB52.C98.
ACD11.BA23.AD28.D.BC.AC3A$26.B2A50.AD53.ACD28.ABCD10.DA5.A6.2A22.DC
A26.D.DB2A2.DCBA$26.2A50.DCA20.A33.2CA.C25.2ABC2.C7.C37.CAB26.C2.2A
$19.D58.CAB22.2A27.3AC.DC28.ABDC9.C36.BA23.D.DCDC$20.D57.BA23.BAD27.
ABACB28.A.CB17.A14.A7.D3.DCA.A24.D$19.B26.ABCD25.DCA.A21.A3B30.2B28.
3AD.D2.DCBA34.C2.DCBA24.D$19.DB25.ABCD25.DCA.A21.A3B30.2B28.3AD.D2.
DCBA34.DC8.ABCD12.ABCD$18.DAC57.BA23.BAD27.ABACB28.A.CB17.A14.A18.A
BCD12.ABCD$18.CB58.CAB22.2A27.3AC.DC28.ABDC9.C61.D$18.B2A57.DCA20.A
33.2CA.C25.2ABC2.C7.C63.D$18.2A59.AD53.ACD28.ABCD10.DA5.A6.2A47.D.D
CDC$11.D68.C98.ACD11.BA51.C2.2A$12.D52.C13.C99.BAC11.CAB50.D.DB2A2.
DCBA$11.B52.C115.AB11.DCA52.D.BC.AC3A$11.DB51.DA20.2A92.2A12.AD56.C
DAB$10.DAC51.ACD19.BA107.C$10.CB52.BAC19.CAB105.C$10.B2A52.AB19.DCA
$10.2A53.2A20.AD108.D.D.2A$88.C109.D2.BA$87.C113.CABA2.DCBA$202.CDA
BDAB2A$94.2A108.D.BC.A$94.BA$.D.BC.A87.CAB67.C$D.BDAB2A86.DCA66.C$4.
DCBA87.CDC2A2.DCBA57.DA$97.CDABDAB2A57.ACD$99.D.BC.A58.BAC$164.AB$164.
2A2$164.DCBA$164.DCBA3$49.DCBA$49.DCBA!

Code: Select all

x = 240, y = 64, rule = b2kai3nr4r5nr6en8/s02eki3kaj4r5r6ekan/5
142.DCBA$142.DCBA2$142.2A$142.AB$141.BAC$141.ACD$141.DA$64.DCBA73.C
$61.C.AC3A74.C$62.CDAB$63.A.A$63.2B$63.2C$63.2D$186.D.BC.A$184.CDAB
DAB2A$35.D.BC.A142.CABA2.DCBA$33.CDABDAB2A139.C2BA25.D.BC.A$32.CABA
2.DCBA116.2A20.ADA.A23.CDABDAB2A$29.D2.BA124.AB19.DCA25.CABA2.DCBA$
28.D.D.2A123.BAC19.CAB23.C2BA$157.ACD19.BA23.ADA.A$25.C131.DA20.2A22.
DCA$26.C130.C45.CAB$25.AD131.C13.C30.BA29.CDAB$24.DCA146.C29.2A25.D
.BC.AC3A$24.CAB80.ABCD28.ABCD21.A7.AD54.D.DB2A2.DCBA$24.BA69.A3.A7.
3ACD.D25.3ACA27.DCA22.D31.DB3A$24.2A83.BACD13.A14.BADC26.CAB22.D30.
DAC$108.2AC18.A35.A5.BA7.A14.CAD29.CB$17.C25.ABCD60.3AD60.2A23.C.C28.
B2A$18.C24.ABCD60.3AD60.2A24.CD12.ABCD12.2A$17.AD89.2AC18.A35.A5.BA
7.A15.ACD12.ABCD12.2A$16.DCA90.BACD13.A14.BADC26.CAB53.B2A$16.CAB76.
A3.A7.3ACD.D25.3ACA27.DCA53.CB$16.BA89.ABCD28.ABCD21.A7.AD53.DAC$16.
2A155.C54.DB3A$158.C13.C55.D.DB2A2.DCBA$9.C147.C72.D.BC.AC3A$10.C146.
DA20.2A53.CDAB$9.AD146.ACD19.BA$8.DCA146.BAC19.CAB$8.CAB147.AB19.DC
A$8.BA148.2A20.ADA.A$8.2A171.C2BA$183.CABA2.DCBA$184.CDABDAB2A$186.
D.BC.A$63.2D$.CDAB58.2C$C.AC3A56.2B$3.DCBA56.A.A$62.CDAB$61.C.AC3A74.
C$64.DCBA73.C$141.DA$141.ACD$141.BAC$142.AB$142.2A2$142.DCBA$142.DC
BA!

I have never used any search programs, are there any that can find ships like the last two patterns above?

Brian Prentice

Posted: **April 4th, 2022, 2:51 pm**

A rake being stabilized

Code: Select all

x = 18, y = 17, rule = 02eik3ajk4r5r6-ci/2aik3nr4r5nr6en8/5
3.DCBA$2.DAB2A$2.BC.A$3D$.D3.2A$D4.B2A$5.CB$5.DAC$6.DB$6.B$7.D3.2A$11.
B2A$11.CB$10.A2DC2A$10.BA2.DCBA$10.D.BDAB2A$11.D.BC.A!

Edit: a variant of the rake

Code: Select all

x = 7, y = 6, rule = 02eik3ajk4r5r6-ci/2aik3nr4r5nr6en8/5
.2A$.BA$.2CBA$2A.DCBA$C.AC3A$.CDAB!

Edit 2: nvm, not a variant, ignore that

Posted: **April 15th, 2022, 8:43 pm**

A 9 state rule:

Code: Select all

x = 30, y = 30, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/9
2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A$2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A2$2A6.
ABCDEFGH$2A26.2A$5.2A.2A.2A.2A.2A.2A.2A3.2A$2A3.2A.2A.2A.2A.2A.2A.2A
$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A
$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A
$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A.2A.2A.2A.2A.2A.2A3.
2A$2A3.2A.2A.2A.2A.2A.2A.2A$2A26.2A$14.HGFEDCBA6.2A2$2A.2A.2A.2A.2A
.2A.2A.2A.2A2.2A$2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A!

Code: Select all

x = 112, y = 35, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/9
44.2A19.2A$20.2A.2A.2A.2A.2A.2A.2A.2A.2A19.2A.2A.2A.2A.2A.2A.2A.2A.
2A$2A2.2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A25.2A.2A.2A.2A.2A.2A.
2A.2A.2A.2A.2A.2A.2A.2A.2A$2A2.2A2.2A.2A.2A.2A73.2A.2A.2A.2A.2A.2A.
2A2$2A$2A108.2A$5.2A.2A.2A.2A.2A73.2A.2A.2A.2A2.2A3.2A$2A3.2A.2A.2A
.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A25.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A
2.2A$2A18.2A.2A.2A.2A.2A.2A.2A.2A.2A19.2A.2A.2A.2A.2A.2A.2A.2A.2A$44.
2A19.2A38.2A3.2A$2A3.2A98.2A3.2A$2A3.2A$105.2A.H.2A$2A.A.2A98.2A.G.
2A$2A.B.2A101.F$3.C101.2A.E.2A$2A.D.2A98.2A.D.2A$2A.E.2A101.C$3.F101.
2A.B.2A$2A.G.2A98.2A.A.2A$2A.H.2A$105.2A3.2A$2A3.2A98.2A3.2A$2A3.2A
38.2A19.2A$21.2A.2A.2A.2A.2A.2A.2A.2A.2A19.2A.2A.2A.2A.2A.2A.2A.2A.
2A18.2A$5.2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A25.2A.2A.2A.2A.2A.
2A.2A.2A.2A.2A.2A.2A.2A3.2A$2A3.2A2.2A.2A.2A.2A73.2A.2A.2A.2A.2A$2A
108.2A$110.2A2$2A.2A.2A.2A.2A.2A.2A73.2A.2A.2A.2A2.2A2.2A$2A.2A.2A.
2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A25.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A
.2A.2A2.2A2.2A$21.2A.2A.2A.2A.2A.2A.2A.2A.2A19.2A.2A.2A.2A.2A.2A.2A
.2A.2A$45.2A19.2A!

Code: Select all

x = 33, y = 33, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/9
31.2A$25.2A4.2A$25.2A.2A$2A2.2A.2A.2A.2A.2A.2A.2A4.2A$2A2.2A.2A.2A.
2A.2A.2A.2A2$2A10.ABCDEFGH$2A26.2A$5.2A.2A.2A.2A.2A.2A.2A3.2A$2A3.2A
.2A.2A.2A.2A.2A.2A6.2A$2A26.2A.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A
$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A
$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A
$5.2A.2A.2A.2A.2A.2A.2A3.2A$2A3.2A.2A.2A.2A.2A.2A.2A$2A26.2A$10.HGF
EDCBA10.2A2$2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A$2A.2A.2A.2A.2A.2A.2A.2A.
2A2.2A!

Code: Select all

x = 33, y = 33, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/9
31.2A$25.2A4.2A$25.2A.2A$2A2.2A.2A.2A.2A.2A.2A.2A4.2A$2A2.2A.2A.2A.
2A.2A.2A.2A2$2A$2A26.2A$5.2A.2A.2A.2A.2A.2A.2A3.2A$2A3.2A.2A.2A.2A.
2A.2A.2A6.2A$2A26.2A.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A
3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A
3.2A$2A3.2A16.2A$2A26.2A$5.2A16.2A3.2A$2A3.2A16.2A$2A26.2A$5.2A.2A.
2A.2A.2A.2A.2A3.2A$2A3.2A.2A.2A.2A.2A.2A.2A$2A26.2A$5.HGFEDCBA2.HGF
EDCBA5.2A2$2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A$2A.2A.2A.2A.2A.2A.2A.2A.2A
2.2A!

Brian Prentice

Posted: **April 16th, 2022, 9:13 pm**

The 4 state variant of the 9 state rule above supports oscillators with all periods > 3 and guns with all periods > 5.

The first 7 oscillators:

Code: Select all

x = 20, y = 96, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/4
4.2A.2A$4.2A.2A2$2A2.CBA.C$2A.A4.B.2A$3.B.2A.A.2A$2A.C.2A$2A6.C.2A$
3.ABC.AB.2A2$3.2A.2A$3.2A.2A3$4.2A.2A$4.2A.2A2$2A2.CBA$2A6.C.2A$3.A
.2A.B.2A$2A.B.2A.A$2A.C6.2A$5.ABC2.2A2$3.2A.2A$3.2A.2A3$4.2A2.2A2.2A
2.2A$4.2A2.2A2.2A2.2A2$2A2.CBA3.CBA3.C$2A14.B.2A$5.2A2.2A2.2A.A.2A$
2A.A.2A2.2A2.2A$2A.B14.2A$3.C3.ABC3.ABC2.2A2$2.2A2.2A2.2A2.2A$2.2A2.
2A2.2A2.2A3$4.2A2.2A2.2A$4.2A2.2A2.2A2$2A2.CBA4.CB$2A10.A.2A$5.2A2.
2A3.2A$2A3.2A2.2A$2A.A10.2A$3.BC4.ABC2.2A2$2.2A2.2A2.2A$2.2A2.2A2.2A
3$4.2A.2A.2A.2A$4.2A.2A.2A.2A2$2A2.CBA5.CBA$2A14.2A$5.2A.2A.2A3.2A$
2A3.2A.2A.2A$2A14.2A$3.ABC5.ABC2.2A2$3.2A.2A.2A.2A$3.2A.2A.2A.2A3$4.
2A2.2A2.2A2.2A$4.2A2.2A2.2A2.2A2$2A2.CBA6.CBA$2A16.2A$5.2A2.2A2.2A3.
2A$2A3.2A2.2A2.2A$2A16.2A$4.ABC6.ABC2.2A2$2.2A2.2A2.2A2.2A$2.2A2.2A
2.2A2.2A3$4.2A.2A$4.2A.2A2$2A2.CBA$2A8.2A$5.2A3.2A$2A3.2A$2A8.2A$5.
ABC2.2A2$3.2A.2A$3.2A.2A!

The first 5 guns:

Code: Select all

x = 59, y = 91, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/4
21.2A$21.2A$15.2A.2A34.2A$4.2A2.2A2.2A.2A.2A3.CB2A2.CB2A2.CB2A2.CB2A
2.CB2A3.2A$4.2A2.2A2.2A7.A3.CBA3.CBA3.CBA3.CBA3.CBA$15.2A3.CBA3.2BA
3.2BA3.2BA3.2BA3.2BA4.2A$2A2.CBA3.CBA3.B4.A3.CBA3.CBA3.CBA3.CBA3.CB
A5.2A$2A14.B.2A3.CB2A2.CB2A2.CB2A2.CB2A2.CB2A3.2A$5.2A2.2A2.2A.A.2A
34.2A$2A.A.2A2.2A2.2A6.2A$2A.B14.2A.2A$3.C3.ABC3.ABC2.2A2$2.2A2.2A2.
2A2.2A$2.2A2.2A2.2A2.2A5$17.2A$17.2A$11.2A.2A38.2A$4.2A2.2A.2A.2A3.
CB2A3.CB2A3.CB2A3.CB2A3.CB2A3.2A$4.2A2.2A11.CBA4.CBA4.CBA4.CBA4.CBA
$11.A3.CBA4.2BA3.2C2A4.2BA3.2C2A4.2BA4.2A$2A.CBA4.CBA8.CBA4.CBA4.CB
A4.CBA4.CBA5.2A$2A12.2A3.CB2A3.CB2A3.CB2A3.CB2A3.CB2A3.2A$5.2A2.2A3.
2A38.2A$2A3.2A2.2A6.2A$2A12.2A.2A$3.ABC4.ABC.2A2$2.2A2.2A2.2A$2.2A2.
2A2.2A5$19.2A$19.2A$13.2A.2A36.2A$4.2A.2A.2A.2A.2A5.CB2A4.CB2A4.CB2A
4.CB2A3.2A$4.2A.2A.2A7.A5.CBA5.CBA5.CBA5.CBA$13.A4.CBA5.2BA5.2BA5.2B
A5.2BA4.2A$2A2.CBA5.CBA4.A5.CBA5.CBA5.CBA5.CBA5.2A$2A14.2A5.CB2A4.C
B2A4.CB2A4.CB2A3.2A$5.2A.2A.2A3.2A36.2A$2A3.2A.2A.2A6.2A$2A14.2A.2A
$3.ABC5.ABC2.2A2$3.2A.2A.2A.2A$3.2A.2A.2A.2A5$21.2A$21.2A$15.2A.2A34.
2A$4.2A2.2A2.2A.2A.2A.B2A5.CB2A5.CB2A5.CB2A3.2A$4.2A2.2A2.2A7.2CBA6.
CBA6.CBA6.CBA$15.2A5.2C2A6.2BA5.2C2A6.2BA4.2A$2A5.CBA6.B4.2CBA6.CBA
6.CBA6.CBA5.2A$2A14.B.2A.B2A5.CB2A5.CB2A5.CB2A3.2A$5.2A2.2A2.2A.A.2A
34.2A$2A.A.2A2.2A2.2A6.2A$2A.B14.2A.2A$3.C6.ABC5.2A2$2.2A2.2A2.2A2.
2A$2.2A2.2A2.2A2.2A5$13.2A$13.2A$7.2A.2A42.2A$4.2A.2A.2A5.CB2A6.CB2A
6.CB2A6.CB2A3.2A$4.2A13.CBA7.CBA7.CBA7.CBA$10.CBA7.2BA7.2BA7.2BA7.2B
A4.2A$2A.BA14.CBA7.CBA7.CBA7.CBA5.2A$2A.C6.2A5.CB2A6.CB2A6.CB2A6.CB
2A3.2A$5.2A3.2A42.2A$2A3.2A6.2A$2A6.C.2A.2A$7.AB.2A2$3.2A.2A$3.2A.2A

Brian Prentice

Posted: **April 17th, 2022, 7:05 am**

A 21 state variant:

Code: Select all

x = 116, y = 116, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
13.2A$13.2A$2.2A2.2A2.2A91.2A.2A.2A.2A$2.2A2.2A2.2A3.TSRQPONMLKJIHG
FEDCB2A67.2A.2A.2A.2A$17.TSRQPONMLKJIHGFEDCBA$2.2A.GFEDCBA6.2S2Q2O2M
2K2I2G2E2C2A$2.2A.H11.TSRQPONMLKJIHGFEDCBA75.2A$5.I.2A.2A3.TSRQPONM
LKJIHGFEDCB2A67.2A2.2A3.2A$2.2A.J.2A.2A91.2A2.2A$2.2A.K7.2A$5.L7.2A
92.2A3.2A$2.2A.M.2A98.2A3.2A$2.2A.N.2A$5.N99.2A7.2A$3.NOPON97.2A7.2A
$3.N3PN$3.OQRQO$3.P3RP$3.QSTSQ$3.R3TR$3.S3.S$3.T3.T4$5.A$4.ABA$3.A3B
A$3.ACDCA$3.B3DB$3.CEFEC$3.D3FD$3.EGHGE$3.F3HF$3.GIJIG$3.H3JH$3.IKL
KI$3.J3LJ$3.KMNMK$3.L3NL$3.MOPOM$3.N3PN$3.OQRQO$3.P3RP$3.QSTSQ$3.R3T
R$3.S3.S$3.T3.T54$2A7.2A$2A7.2A$107.2A3.2A$2.2A3.2A98.2A3.2A$2.2A3.
2A92.2A$101.2A9.2A$7.2A2.2A91.2A.2A3.2A$2.2A3.2A2.2A91.2A.2A$2.2A108.
2A$112.2A2$2.2A.2A.2A.2A91.2A2.2A2.2A$2.2A.2A.2A.2A91.2A2.2A2.2A$101.
2A$101.2A!

Code: Select all

x = 116, y = 116, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
14.2A74.2A$14.2A74.2A.2A$93.2A$3.2A2.2A2.2A3.TSRQPONMLKJIHGFEDCB2A65.
2A.2A.2A.2A$3.2A2.2A2.2A5.TSRQPONMLKJIHGFEDCBA64.2A.2A.2A.2A$19.TSR
QPONMLKJIHGFEDCBA$3.2A.HGFEDCBA5.2T2R2P2N2L2J2H2F2D2BA$3.2A.I12.TSR
QPONMLKJIHGFEDCBA72.2A$6.J.2A.2A5.TSRQPONMLKJIHGFEDCBA64.2A2.2A3.2A
$3.2A.K.2A.2A3.TSRQPONMLKJIHGFEDCB2A65.2A2.2A$3.2A.L86.2A$6.M7.2A74.
2A.2A11.2A3.2A$3.2A.N.2A4.2A74.2A14.2A3.2A$3.2A.O.2A$6.O96.2A9.2A$4.
OPQPO94.2A9.2A$4.O3QO$4.PRSRP$4.Q3SQ$4.RT.TR$4.S3.S$.2A.T3.T.2A$.2A
7.2A2$2A9.2A$2A4.A4.2A$5.3A$4.ABCBA$3.AB3CBA$3.ACDEDCA$3.BD3EDB$3.C
EFGFEC$3.DF3GFD$3.EGHIHGE$3.FH3IHF$3.GIJKJIG$3.HJ3KJH$3.IKLMLKI$3.J
L3MLJ$3.KMNONMK$3.LN3ONL$3.MOPQPOM$3.NP3QPN$3.OQRSRQO$3.PR3SRP$3.QS
T.TSQ$3.RT3.TR$3.S5.S$3.T5.T42$103.2A9.2A$103.2A9.2A2$104.2A7.2A$104.
2A7.2A6$2A9.2A$2A9.2A$106.2A3.2A$3.2A3.2A14.2A74.2A4.2A3.2A$3.2A3.2A
11.2A.2A74.2A$21.2A88.2A$8.2A2.2A89.2A.2A3.2A$3.2A3.2A2.2A89.2A.2A$
3.2A106.2A$111.2A2$3.2A.2A.2A.2A89.2A2.2A2.2A$3.2A.2A.2A.2A89.2A2.2A
2.2A$21.2A$21.2A.2A74.2A$24.2A74.2A!

Code: Select all

x = 71, y = 71, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$2A2.2A.2A.2A.2A.2A.2A
.2A.2A.2A.2A.2A.2A.2A.2A2$2A11.TSRQPONMLKJIHGFEDCBA$2A41.2A$5.2A.2A
.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A3.2A$2A3.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A
.2A.2A$2A41.2A$5.2A31.2A3.2A$2A3.2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.
2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.
2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.
2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.
2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.2A31.2A$2A41.2A$5.2A31.2A3.2A$2A3.
2A31.2A$2A41.2A$5.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A3.2A$2A3.2A.2A
.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$2A41.2A$12.ABCDEFGHIJKLMNOPQRST11.2A
2$2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A$2A.2A.2A.2A.2A.2A.2A
.2A.2A.2A.2A.2A.2A.2A2.2A!

Code: Select all

x = 71, y = 71, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
13.2A$13.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$2.2A2.2A2.2A4.
2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$2.2A2.2A2.2A46.
2A.2A.2A.2A$25.T.RSPQNOLMJKHIFGDEBC2A$2.2A24.2S2Q2O2M2K2I2G2E2C2A$2.
2A21.T.RSPQNOLMJKHIFGDEBC2A20.2A$7.2A.2A46.2A2.2A3.2A$2.2A3.2A.2A4.
2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A$2.2A9.2A.2A.2A.2A.
2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$13.2A47.2A3.2A$2.2A3.2A53.2A3.2A$2.
2A3.2A$60.2A7.2A$.2A5.2A50.2A7.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A
$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.
2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A
5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.
2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A
51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.
2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A
5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$2A7.2A50.2A5.2A$2A7.2A$62.2A3.2A$2.
2A3.2A53.2A3.2A$2.2A3.2A47.2A$14.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A
.2A.2A.2A9.2A$7.2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A4.2A
.2A3.2A$2.2A3.2A2.2A46.2A.2A$2.2A20.2ACBEDGFIHKJMLONQPSR.T21.2A$23.
2A2C2E2G2I2K2M2O2Q2S24.2A$24.2ACBEDGFIHKJMLONQPSR.T$2.2A.2A.2A.2A46.
2A2.2A2.2A$2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A4.
2A2.2A2.2A$14.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$56.2A!

Code: Select all

x = 139, y = 139, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
33.2A76.2A$33.2A76.2A.2A$114.2A2$116.2A$116.2A2$30.2A$21.2A.2A4.2A$
21.2A.2A.2A$10.2A2.2A2.2A7.2A89.2A.2A.2A.2A$10.2A2.2A2.2A98.2A.2A.2A
.2A2$10.2A$10.2A115.2A$15.2A.2A98.2A2.2A3.2A$10.2A3.2A.2A7.2A89.2A2.
2A$10.2A9.2A.2A.2A$21.2A.2A4.2A90.2A3.2A$10.2A3.2A13.2A90.2A3.2A$10.
2A3.2A$4.2A7.A7.2A93.2A2.2A7.2A$4.2A6.3A6.2A93.2A2.2A7.2A$.2A8.ABCB
A8.2A$.2A7.AB3CBA7.2A88.2A4.2A7.2A$9.ABCDEDCBA15.2A76.2A.2A4.2A7.2A
$2A6.ABCD3EDCBA6.2A6.2A76.2A$2A5.ABCDEFGFEDCBA5.2A94.2A5.2A$6.ABCDE
F3GFEDCBA100.2A5.2A$5.ABCDEFGHIHGFEDCBA$4.ABCDEFGH3IHGFEDCBA96.2A9.
2A$3.ABCDEFGHIJKJIHGFEDCBA95.2A9.2A$3.ACDEFGHIJ3KJIHGFEDCA$3.BDEFGH
IJKLMLKJIHGFEDB88.2A23.2A$3.CEFGHIJKL3MLKJIHGFEC88.2A23.2A$3.DFGHIJ
KLMNONMLKJIHGFD91.T19.T$3.EGHIJKLMN3ONMLKJIHGE91.S19.S$3.FHIJKLMNOP
QPONMLKJIHF91.RT17.TR$3.GIJKLMNOP3QPONMLKJIG91.QST15.TSQ$3.HJKLMNOP
QRSRQPONMLKJH91.PRST13.TSRP$3.IKLMNOPQR3SRQPONMLKI91.OQRST11.TSRQO$
3.JLMNOPQRST.TSRQPONMLJ91.NPQRST9.TSRQPN$3.KMNOPQRST3.TSRQPONMK91.M
OPQRST7.TSRQPOM$3.LNOPQRST5.TSRQPONL91.LNOPQRST5.TSRQPONL$3.MOPQRST
7.TSRQPOM91.KMNOPQRST3.TSRQPONMK$3.NPQRST9.TSRQPN91.JLMNOPQRST.TSRQ
PONMLJ$3.OQRST11.TSRQO91.IKLMNOPQR3SRQPONMLKI$3.PRST6.A6.TSRP91.HJK
LMNOPQRSRQPONMLKJH$3.QST6.3A6.TSQ91.GIJKLMNOP3QPONMLKJIG$3.RT6.ABCB
A6.TR91.FHIJKLMNOPQPONMLKJIHF$3.S6.AB3CBA6.S91.EGHIJKLMN3ONMLKJIHGE
$3.T5.ABCDEDCBA5.T91.DFGHIJKLMNONMLKJIHGFD$8.ABCD3EDCBA96.CEFGHIJKL
3MLKJIHGFEC$7.ABCDEFGFEDCBA95.BDEFGHIJKLMLKJIHGFEDB$6.ABCDEF3GFEDCB
A94.ACDEFGHIJ3KJIHGFEDCA$5.ABCDEFGHIHGFEDCBA93.ABCDEFGHIJKJIHGFEDCB
A$4.ABCDEFGH3IHGFEDCBA93.ABCDEFGH3IHGFEDCBA$3.ABCDEFGHIJKJIHGFEDCBA
93.ABCDEFGHIHGFEDCBA$3.ACDEFGHIJ3KJIHGFEDCA94.ABCDEF3GFEDCBA$3.BDEF
GHIJKLMLKJIHGFEDB95.ABCDEFGFEDCBA$3.CEFGHIJKL3MLKJIHGFEC96.ABCD3EDC
BA$3.DFGHIJKLMNONMLKJIHGFD91.T5.ABCDEDCBA5.T$3.EGHIJKLMN3ONMLKJIHGE
91.S6.AB3CBA6.S$3.FHIJKLMNOPQPONMLKJIHF91.RT6.ABCBA6.TR$3.GIJKLMNOP
3QPONMLKJIG91.QST6.3A6.TSQ$3.HJKLMNOPQRSRQPONMLKJH91.PRST6.A6.TSRP$
3.IKLMNOPQR3SRQPONMLKI91.OQRST11.TSRQO$3.JLMNOPQRST.TSRQPONMLJ91.NP
QRST9.TSRQPN$3.KMNOPQRST3.TSRQPONMK91.MOPQRST7.TSRQPOM$3.LNOPQRST5.
TSRQPONL91.LNOPQRST5.TSRQPONL$3.MOPQRST7.TSRQPOM91.KMNOPQRST3.TSRQP
ONMK$3.NPQRST9.TSRQPN91.JLMNOPQRST.TSRQPONMLJ$3.OQRST11.TSRQO91.IKL
MNOPQR3SRQPONMLKI$3.PRST6.A6.TSRP91.HJKLMNOPQRSRQPONMLKJH$3.QST6.3A
6.TSQ91.GIJKLMNOP3QPONMLKJIG$3.RT6.ABCBA6.TR91.FHIJKLMNOPQPONMLKJIH
F$3.S6.AB3CBA6.S91.EGHIJKLMN3ONMLKJIHGE$3.T5.ABCDEDCBA5.T91.DFGHIJK
LMNONMLKJIHGFD$8.ABCD3EDCBA96.CEFGHIJKL3MLKJIHGFEC$7.ABCDEFGFEDCBA95.
BDEFGHIJKLMLKJIHGFEDB$6.ABCDEF3GFEDCBA94.ACDEFGHIJ3KJIHGFEDCA$5.ABC
DEFGHIHGFEDCBA93.ABCDEFGHIJKJIHGFEDCBA$4.ABCDEFGH3IHGFEDCBA93.ABCDE
FGH3IHGFEDCBA$3.ABCDEFGHIJKJIHGFEDCBA93.ABCDEFGHIHGFEDCBA$3.ACDEFGH
IJ3KJIHGFEDCA94.ABCDEF3GFEDCBA$3.BDEFGHIJKLMLKJIHGFEDB95.ABCDEFGFED
CBA$3.CEFGHIJKL3MLKJIHGFEC96.ABCD3EDCBA$3.DFGHIJKLMNONMLKJIHGFD91.T
5.ABCDEDCBA5.T$3.EGHIJKLMN3ONMLKJIHGE91.S6.AB3CBA6.S$3.FHIJKLMNOPQP
ONMLKJIHF91.RT6.ABCBA6.TR$3.GIJKLMNOP3QPONMLKJIG91.QST6.3A6.TSQ$3.H
JKLMNOPQRSRQPONMLKJH91.PRST6.A6.TSRP$3.IKLMNOPQR3SRQPONMLKI91.OQRST
11.TSRQO$3.JLMNOPQRST.TSRQPONMLJ91.NPQRST9.TSRQPN$3.KMNOPQRST3.TSRQ
PONMK91.MOPQRST7.TSRQPOM$3.LNOPQRST5.TSRQPONL91.LNOPQRST5.TSRQPONL$
3.MOPQRST7.TSRQPOM91.KMNOPQRST3.TSRQPONMK$3.NPQRST9.TSRQPN91.JLMNOP
QRST.TSRQPONMLJ$3.OQRST11.TSRQO91.IKLMNOPQR3SRQPONMLKI$3.PRST13.TSR
P91.HJKLMNOPQRSRQPONMLKJH$3.QST15.TSQ91.GIJKLMNOP3QPONMLKJIG$3.RT17.
TR91.FHIJKLMNOPQPONMLKJIHF$3.S19.S91.EGHIJKLMN3ONMLKJIHGE$3.T19.T91.
DFGHIJKLMNONMLKJIHGFD$2A23.2A88.CEFGHIJKL3MLKJIHGFEC$2A23.2A88.BDEF
GHIJKLMLKJIHGFEDB$115.ACDEFGHIJ3KJIHGFEDCA$7.2A9.2A95.ABCDEFGHIJKJI
HGFEDCBA$7.2A9.2A96.ABCDEFGH3IHGFEDCBA$117.ABCDEFGHIHGFEDCBA$9.2A5.
2A100.ABCDEF3GFEDCBA$9.2A5.2A94.2A5.ABCDEFGFEDCBA5.2A$26.2A76.2A6.2A
6.ABCD3EDCBA6.2A$8.2A7.2A4.2A.2A76.2A15.ABCDEDCBA$8.2A7.2A4.2A88.2A
7.AB3CBA7.2A$113.2A8.ABCBA8.2A$8.2A7.2A2.2A93.2A6.3A6.2A$8.2A7.2A2.
2A93.2A7.A7.2A$122.2A3.2A$10.2A3.2A90.2A13.2A3.2A$10.2A3.2A90.2A4.2A
.2A$110.2A.2A.2A9.2A$15.2A2.2A89.2A7.2A.2A3.2A$10.2A3.2A2.2A98.2A.2A
$10.2A115.2A$127.2A2$10.2A.2A.2A.2A98.2A2.2A2.2A$10.2A.2A.2A.2A89.2A
7.2A2.2A2.2A$110.2A.2A.2A$107.2A4.2A.2A$107.2A2$21.2A$21.2A2$23.2A$
23.2A.2A76.2A$26.2A76.2A!

Code: Select all

x = 71, y = 19, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
2A.2A.2A.2A2.2A$2A.2A.2A.2A2.2A2$3.ST6.A.2A$2A.R7.B.2A.2A51.2A$2A.Q
.2A.2A.C4.2A51.2A$3.P.2A.2A.D.2A43.2A2.2A2.2A$2A.O7.E.2A3.TSRQPONML
KJIHGFEDCB2A19.2A2.2A2.2A$2A.NMLKJIHGE8.TSRQPONMLKJIHGFEDCBA$10.2DC
BA6.2S2Q2O2M2K2I2G2E2C2A$2A2.2A.2A11.TSRQPONMLKJIHGFEDCBA$2A2.2A.2A
.2A.2A3.TSRQPONMLKJIHGFEDCB2A19.2A6.2A$10.2A.2A43.2A6.2A$16.2A51.2A
$16.2A42.2A3.2A2.2A$60.2A3.2A2$58.2A7.2A$58.2A7.2A!

Code: Select all

x = 71, y = 19, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
2A.2A.2A.2A2.2A43.2A7.2A$2A.2A.2A.2A2.2A43.2A7.2A2$3.ST6.A.2A45.2A3.
2A$2A.R7.B.2A.2A42.2A3.2A2.2A$2A.Q.2A.2A.C4.2A51.2A$3.P.2A.2A.D.2A43.
2A6.2A$2A.O7.E.2A3.TSRQPONMLKJIHGFEDCB2A19.2A6.2A$2A.NMLKJIHGE8.TSR
QPONMLKJIHGFEDCBA$10.2DCBA6.2S2Q2O2M2K2I2G2E2C2A$2A2.2A.2A11.TSRQPO
NMLKJIHGFEDCBA$2A2.2A.2A.2A.2A3.TSRQPONMLKJIHGFEDCB2A19.2A6.2A$10.2A
.2A43.2A6.2A$16.2A51.2A$16.2A42.2A3.2A2.2A$60.2A3.2A2$58.2A7.2A$58.
2A7.2A!

Code: Select all

x = 71, y = 19, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
2A.2A.2A.2A2.2A$2A.2A.2A.2A2.2A2$3.ST6.A.2A.2A51.2A$2A.R7.B.2A.2A51.
2A$2A.Q.2A.2A.C43.2A$3.P.2A.2A.D.2A40.2A.2A2.2A2.2A$2A.O7.E.2A43.2A
2.2A2.2A$2A.NMLKJIHGE$10.2DCBA$2A2.2A.2A$2A2.2A.2A.2A.2A43.2A6.2A$10.
2A.2A40.2A.2A6.2A$55.2A$16.2A42.2A3.2A2.2A$16.2A42.2A3.2A2.2A2$57.2A
9.2A$57.2A9.2A!

Code: Select all

x = 71, y = 19, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
2A.2A.2A.2A2.2A42.2A9.2A$2A.2A.2A.2A2.2A42.2A9.2A2$3.ST6.A.2A.2A42.
2A3.2A2.2A$2A.R7.B.2A.2A42.2A3.2A2.2A$2A.Q.2A.2A.C43.2A$3.P.2A.2A.D
.2A40.2A.2A6.2A$2A.O7.E.2A43.2A6.2A$2A.NMLKJIHGE$10.2DCBA$2A2.2A.2A
$2A2.2A.2A.2A.2A43.2A6.2A$10.2A.2A40.2A.2A6.2A$55.2A$16.2A42.2A3.2A
2.2A$16.2A42.2A3.2A2.2A2$57.2A9.2A$57.2A9.2A!

Code: Select all

x = 51, y = 52, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
49.2A$49.2A2$43.2A.2A$3.2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.
2A$3.2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A2$3.2A11.TSRQPONMLKJIHG
FEDCBA$3.2A41.2A$8.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A3.2A$3.2A3.2A
.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$3.2A41.2A.2A$8.2A31.2A3.2A.2A$3.2A
3.2A31.2A$3.2A41.2A$8.2A31.2A3.2A$3.2A3.2A31.2A$3.2A41.2A$8.2A31.2A
3.2A$3.2A3.2A31.2A$3.2A41.2A$8.2A31.2A3.2A$3.2A3.2A31.2A$3.2A41.2A$
8.2A31.2A3.2A$3.2A3.2A31.2A$3.2A41.2A$8.2A31.2A3.2A$3.2A3.2A31.2A$3.
2A41.2A$8.2A31.2A3.2A$3.2A3.2A31.2A$3.2A41.2A$8.2A31.2A3.2A$3.2A3.2A
31.2A$3.2A41.2A$8.2A31.2A3.2A$3.2A3.2A31.2A$3.2A41.2A$8.2A31.2A3.2A
$3.2A3.2A31.2A$2A.2A41.2A$2A6.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A3.
2A$3.2A3.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$3.2A41.2A$15.ABCDEFGHI
JKLMNOPQRST11.2A2$9.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A$3.2A.2A
.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A$3.2A.2A$2A$2A!

Code: Select all

x = 79, y = 71, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
13.2A$13.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$2.2A2.2A2.2A4.
2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$2.2A2.2A2.2A46.
2A.2A.2A.2A$25.T.RSPQNOLMJKHIFGDEBC2A$2.2A24.2S2Q2O2M2K2I2G2E2C2A$2.
2A21.T.RSPQNOLMJKHIFGDEBC2A20.2A$7.2A.2A46.2A2.2A3.2A$2.2A3.2A.2A4.
2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A2.2A$2.2A9.2A.2A.2A.2A.
2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$13.2A47.2A3.2A$2.2A3.2A53.2A3.2A$2.
2A3.2A$60.2A7.2A$.2A5.2A50.2A7.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A
$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A5.2A$.2A5.2A51.2A5.
2A7.2A$.2A5.2A64.2A.2A$61.2A5.2A.2A.2A$.2A5.2A51.2A5.2A.2A$.2A5.2A$
61.2A$.2A5.2A51.2A$.2A5.2A61.2A$61.2A5.2A.2A.2A$.2A5.2A51.2A5.2A4.2A
.2A$.2A5.2A67.2A$61.2A5.2A$.2A5.2A51.2A5.2A$.2A5.2A$61.2A$.2A5.2A51.
2A5.2A4.2A$.2A5.2A58.2A4.2A$61.2A$.2A5.2A51.2A5.2A.2A$.2A5.2A58.2A.
2A$61.2A$.2A5.2A51.2A$.2A5.2A$61.2A8.2A$.2A5.2A51.2A5.2A.2A$.2A5.2A
58.2A$61.2A11.2A$.2A5.2A51.2A11.2A$.2A5.2A58.2A$61.2A5.2A$.2A5.2A51.
2A$.2A5.2A$61.2A5.2A$2A7.2A50.2A5.2A$2A7.2A61.2A$62.2A3.2A3.2A$2.2A
3.2A53.2A3.2A$2.2A3.2A47.2A$14.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.
2A.2A.2A9.2A$7.2A2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A4.2A
.2A3.2A$2.2A3.2A2.2A46.2A.2A$2.2A20.2ACBEDGFIHKJMLONQPSR.T21.2A3.2A
$23.2A2C2E2G2I2K2M2O2Q2S24.2A3.2A$24.2ACBEDGFIHKJMLONQPSR.T$2.2A.2A
.2A.2A46.2A2.2A2.2A$2.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.
2A.2A.2A4.2A2.2A2.2A$14.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A
$56.2A!

Code: Select all

x = 19, y = 30, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
28.2A$28.2A2$25.2A$16.2A.2A4.2A$16.2A.2A.2A$10.2A.2A7.2A$2A2.2A.2A.
2A.2A.FEDCB$2A2.2A.2A7.2GFEDC2A$10.2NMLKJI2G2E2C2A$2A5.TSRQO4.2GFED
C2A$2A9.O.2A.FEDCB$5.2A.2A.N.2A7.2A$2A.A.2A.2A.M4.2A.2A.2A$2A.B7.L.
2A.2A.2A4.2A$3.CDEFGHIJK.2A10.2A2$2A.2A.2A.2A2.2A13.2A$2A.2A.2A.2A2.
2A13.2A!

Code: Select all

x = 30, y = 27, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/21
28.2A$28.2A6$25.2A$16.2A.2A4.2A$16.2A.2A.2A$10.2A.2A7.2A$2A2.2A.2A.
2A.2A.FEDCB$2A2.2A.2A7.2GFEDC2A$10.2NMLKJI2G2E2C2A$2A5.TSRQO4.2GFED
C2A$2A9.O.2A.FEDCB$5.2A.2A.N.2A7.2A$2A.A.2A.2A.M4.2A.2A.2A$2A.B7.L.
2A.2A.2A4.2A$3.CDEFGHIJK.2A10.2A2$2A.2A.2A.2A2.2A$2A.2A.2A.2A2.2A3$
28.2A$28.2A!

Brian Prentice

Posted: **April 21st, 2022, 12:39 pm**

For the guns and oscillators to work correctly, each variant of the rule family featured above requires small adjustments to the still life block patterns.

Some guns in the 5 state variant:

Code: Select all

x = 15, y = 63, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/5
13.2A$13.2A$7.2A.2A$2A2.2A.2A.2A$2A2.2A2$2A2.DCBA$2A8.2A$5.2A3.2A$2A
3.2A6.2A$2A8.2A.2A$10.2A2$2A.2A.2A2.2A$2A.2A.2A2.2A9$13.2A$13.2A2$7.
2A.2A$2A2.2A.2A.2A$2A2.2A2$2A2.DCBA$2A8.2A$5.2A3.2A$2A3.2A6.2A$2A8.
2A.2A$10.2A2$2A.2A.2A2.2A$2A.2A.2A2.2A9$13.2A$13.2A2$7.2A.2A$2A2.2A
.2A.2A$2A2.2A2$2A2.DCBA$2A8.2A$5.2A3.2A$2A3.2A$2A8.2A.2A$10.2A.2A2$
2A.2A.2A2.2A$2A.2A.2A2.2A!

Code: Select all

x = 47, y = 47, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/5
45.2A$13.2A30.2A$13.2A24.2A.2A$2.2A2.2A2.2A21.2A.2A.2A.2A$2.2A2.2A2.
2A8.DCB2A8.2A.2A$22.DCBA$2.2A18.2D2BA$2.2A18.DCBA16.2A$7.2A.2A8.DCB
2A8.2A2.2A3.2A$2.2A3.2A.2A21.2A2.2A6.2A$2.2A9.2A30.2A$13.2A22.2A3.2A
$2.2A3.2A28.2A3.2A$2.2A3.2A$35.2A7.2A$35.2A7.2A5$5.A$4.ABA31.D3.D$3.
A3BA30.C3.C$3.ACDCA30.B3DB$3.B3DB30.ACDCA$3.C3.C30.A3BA$3.D3.D31.AB
A$40.A5$2A7.2A$2A7.2A$37.2A3.2A$2.2A3.2A28.2A3.2A$2.2A3.2A22.2A$31.
2A9.2A$7.2A2.2A21.2A.2A3.2A$2.2A3.2A2.2A8.2ABCD8.2A.2A$2.2A16.ABCD18.
2A$19.A2B2D18.2A$20.ABCD$2.2A.2A.2A.2A8.2ABCD8.2A2.2A2.2A$2.2A.2A.2A
.2A21.2A2.2A2.2A$31.2A$31.2A!

Code: Select all

x = 52, y = 53, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/5
50.2A$14.2A34.2A$14.2A$35.2A7.2A.2A$3.2A2.2A2.2A9.DCB2A8.2A.2A.2A.2A
.2A$3.2A2.2A2.2A11.DCBA10.2A.2A$25.DCBA$3.2A20.2D2BA$3.2A20.DCBA18.
2A$8.2A.2A10.DCB2A10.2A2.2A3.2A$3.2A3.2A.2A22.2A.2A2.2A6.2A$3.2A9.2A
16.2A.2A13.2A$14.2A16.2A8.2A3.2A$3.2A3.2A32.2A3.2A$3.2A3.2A$40.2A8.
2A$2.2A5.2A29.2A8.2A$2.2A5.2A2$10.2A$10.2A3$6.A41.D$5.ABA35.D4.C$4.
A3BA34.C3.DB$3.ABCDCA34.B3DCA$3.AC3DB34.ACDCBA$3.BD3.C34.A3BA$3.C4.
D35.ABA$3.D41.A3$40.2A$40.2A2$41.2A5.2A$2A8.2A29.2A5.2A$2A8.2A$42.2A
3.2A$3.2A3.2A32.2A3.2A$3.2A3.2A8.2A16.2A$15.2A.2A16.2A9.2A$8.2A2.2A
.2A22.2A.2A3.2A$3.2A3.2A2.2A10.2ABCD10.2A.2A$3.2A18.ABCD20.2A$22.A2B
2D20.2A$23.ABCD$3.2A.2A.2A.2A10.ABCD11.2A2.2A2.2A$3.2A.2A.2A.2A.2A8.
2ABCD9.2A2.2A2.2A$15.2A$36.2A$36.2A!

Code: Select all

x = 50, y = 51, rule = b1e2e3ai4er5eqr6ki/s1c2ceka3a4enrt6ek/5
48.2A$14.2A32.2A$14.2A$33.2A7.2A.2A$3.2A2.2A2.2A8.DCB2A7.2A.2A.2A.2A
.2A$3.2A2.2A2.2A10.DCBA9.2A.2A$24.DCBA$3.2A19.2D2BA$3.2A19.DCBA17.2A
$8.2A.2A10.DCBA9.2A2.2A3.2A$3.2A3.2A.2A8.DCB2A7.2A.2A2.2A$3.2A28.2A
13.2A$14.2A24.2A3.2A.2A$3.2A3.2A4.2A24.2A3.2A$3.2A3.2A$37.2A9.2A$2.
2A5.2A26.2A9.2A$2.2A5.2A5$6.A33.D5.D$5.ABA32.C5.C$4.A3BA31.BD3.DB$3.
ABCDCBA30.AC3DCA$3.AC3DCA30.ABCDCBA$3.BD3.DB31.A3BA$3.C5.C32.ABA$3.
D5.D33.A5$39.2A5.2A$2A9.2A26.2A5.2A$2A9.2A$40.2A3.2A$3.2A3.2A24.2A4.
2A3.2A$3.2A3.2A24.2A$15.2A28.2A$8.2A2.2A.2A7.2ABCD8.2A.2A3.2A$3.2A3.
2A2.2A9.ABCD10.2A.2A$3.2A17.ABCD19.2A$21.A2B2D19.2A$22.ABCD$3.2A.2A
.2A.2A9.ABCD10.2A2.2A2.2A$3.2A.2A.2A.2A.2A7.2ABCD8.2A2.2A2.2A$15.2A
$34.2A$34.2A!

Brian Prentice

Posted: **May 4th, 2022, 8:38 pm**

Two 3 state rules inspired by this thread:

viewtopic.php?f=11&t=5604#p143133

Guns in first rule:

Code: Select all

x = 4, y = 8, rule = b2cain3q/s03i45/3
.A$3A$.A$2.BA$2.BA$.A$3A$.A!

Code: Select all

x = 14, y = 12, rule = b2cain3q/s03i45/3
.A$3A$.A.A$4.BA2.BA$4.BA2.BA$.A.A$3A6.2A$.A7.2B$8.A2.A$7.A4.A$6.3A2.
3A$7.A4.A!

Code: Select all

x = 10, y = 24, rule = b2cain3q/s03i45/3
3.B$2.B2.A$.A.BA$3AB2.A$.A3.3A$2.B3.A2.A$A2.A3.B$2.4AB.A$3.A3.3A$5.
B2.A$4.AB.B$6.A$6.A$4.AB.B$5.B2.A$3.A3.3A$2.4AB.A$A2.A3.B$2.B3.A2.A
$.A3.3A$3AB2.A$.A.BA$2.B2.A$3.B!

Code: Select all

x = 20, y = 34, rule = b2cain3q/s03i45/3
.A2.A10.A2.A$3A14.3A$.A.B.A8.A.B.A$2.B.3A6.3A.B$.2A2.A8.A2.2A$2.A2.
2A6.2A2.A$.3A.B8.B.3A$2.A.B.A6.A.B.A$5.3A4.3A$3.A2.A6.A2.A5$7.2B2.2B
$7.2A2.2A3$7.2A2.2A$7.2B2.2B5$3.A2.A6.A2.A$5.3A4.3A$2.A.B.A6.A.B.A$
.3A.B8.B.3A$2.A2.2A6.2A2.A$.2A2.A8.A2.2A$2.B.3A6.3A.B$.A.B.A8.A.B.A
$3A14.3A$.A2.A10.A2.A!

Code: Select all

x = 7, y = 14, rule = b2cain3q/s03i45/3
5.A$4.3A$3.A.A$2.3A.A$.A.A.B$3A$.A.BA$.A.BA$3A$.A.A.B$2.3A.A$3.A.A$
4.3A$5.A!

Code: Select all

x = 9, y = 18, rule = b2cain3q/s03i45/3
7.A$6.3A$5.A.A$4.3A$3.A.A$2.3A$.A.A$3A$.A2.BA$.A2.BA$3A$.A.A$2.3A$3.
A.A$4.3A$5.A.A$6.3A$7.A!

Code: Select all

x = 8, y = 14, rule = b2cain3q/s03i45/3
5.A$4.3A$3.A.A$2.3A2.A$.A.A$3A$.A.BA$.A.BA$3A$.A.A$2.3A2.A$3.A.A$4.
3A$5.A!

Code: Select all

x = 17, y = 22, rule = b2cain3q/s03i45/3
9.A$8.3A$7.A.A$6.3A$5.A.A$4.3A$3.A.A$2.3A10.A$.A.A10.3A$3A.A10.A$.A
2.AB2.AB2.AB$.A2.AB2.AB2.AB$3A.A10.A$.A.A10.3A$2.3A10.A$3.A.A$4.3A$
5.A.A$6.3A$7.A.A$8.3A$9.A!

Code: Select all

x = 7, y = 14, rule = b2cain3q/s03i45/3
4.A2$A2.A.A$2.A.3A$.3A.A$2.A$3.BA$3.BA$2.A$.3A.A$2.A.3A$A2.A.A2$4.A!

Code: Select all

x = 14, y = 20, rule = b2cain3q/s03i45/3
2.A8.A$4.A4.A$3.3A2.3A$2.B.A4.A.B$A2.A.A2.A.A2.A$2.3A4.3A$3.A6.A$4.
2B2.2B$4.2A2.2A3$4.2A2.2A$4.2B2.2B$3.A6.A$2.3A4.3A$A2.A.A2.A.A2.A$2.
B.A4.A.B$3.3A2.3A$4.A4.A$2.A8.A!

Oscillator in first rule:

Code: Select all

x = 25, y = 22, rule = b2cain3q/s03i45/3
.A7.A$3A5.3A$.A7.A.A$.A8.3A$3A3.BA3.A$.A.A2.BA3.A$2.3A5.3A$3.A7.A7$
.A19.A$3A17.3A$.A19.A.A$.A20.3A$3A9.BA9.A$.A.A8.BA9.A$2.3A17.3A$3.A
19.A!

Guns in second rule:

Code: Select all

x = 13, y = 25, rule = b2cain3iq/s03i45/3
.A$3A$.A5.BA$7.BA2$11.A$10.3A$11.A10$.A$3A$.A5.BA$7.BA$A$11.A$10.3A
$11.A!

Code: Select all

x = 49, y = 20, rule = b2cain3iq/s03i45/3
47.A$46.3A$41.A3.A.A$40.3A3.B$35.A5.A.B$34.3A5.A$29.A5.A$28.3A3.A$6.
AB14.AB5.A3.BA$6.AB14.AB9.BA$6.AB25.BA$6.AB11.A13.BA$6.AB10.3A$6.AB
5.A5.A$6.2A.BA.3A$7.A.BA2.A$6.3A$.A5.A$3A$.A!

Code: Select all

x = 7, y = 8, rule = b2cain3iq/s03i45/3
5.A$4.3A$2.AB.A$A.AB.2A$2.2A.BA$3.A.BA$2.3A$3.A!

Code: Select all

x = 8, y = 24, rule = b2cain3iq/s03i45/3
4.A$2.A$.A.3B$3AB$.A.2A.A$4.B3A$2.3B.A$2.4A2$2.4B$2.4A3$2.4A$2.4B2$
2.4A$2.3B.A$4.B3A$.A.2A.A$3AB$.A.3B$2.A$4.A!

Code: Select all

x = 19, y = 12, rule = b2cain3iq/s03i45/3
17.A$16.3A$5.A11.A$4.3A$2.B2.A.A.BA.BA$A.B.A2BA.BA.BA.BA$2.2BA.BA.B
A.BA.BA$.A.A2.BA.BA.BA$2.3A$3.A13.A$16.3A$17.A!

Code: Select all

x = 12, y = 66, rule = b2cain3iq/s03i45/3
6.A$4.A$3.A.3B$2.3AB$3.A.2A.A$6.B3A$4.3B.A$4.4A2$4.4B$4.4A2$5.2B$5.
2A3$.A.A4.A.A$3AB4.B3A$.A.6B.A$2.8A2$2.8B$2.8A2$5.2B$5.2A5$2.8B$2.8A
3$2.8A$2.8B5$5.2A$5.2B2$2.8A$2.8B2$2.8A$.A.6B.A$3AB4.B3A$.A.A4.A.A3$
5.2A$5.2B2$4.4A$4.4B2$4.4A$4.3B.A$6.B3A$3.A.2A.A$2.3AB$3.A.3B$4.A$6.
A!

Code: Select all

x = 33, y = 36, rule = b2cain3iq/s03i45/3
21.A$20.3A$5.AB14.A.A$.A3.AB15.3A$3A2.AB16.A.A$.A.A2.B17.3A$2.3A.BA
17.A.A$3.A.A.A18.3A$4.3A20.A$5.A.A$6.3A$7.A.A$8.3A$9.A.A$10.3A$11.A
.A$12.3A$13.A.A$14.3A$15.A.A$16.3A$17.A.A$18.3A$19.A.A$20.3A$21.A.A
$22.3A$23.A.A$24.3A$25.A.A$26.3A$27.A.A$28.3A$29.A.A$30.3A$31.A!

Code: Select all

x = 26, y = 20, rule = b2cain3iq/s03i45/3
.A$3A$.A.A$2.3A$3.A.A$4.3A$5.A.A$6.3A$7.A5.BA$13.BA2$18.A$17.3A$18.
A.A$19.3A$20.A.A$21.3A$22.A.A$23.3A$24.A!

Code: Select all

x = 20, y = 69, rule = b2cain3iq/s03i45/3
8.A2.A2.A$7.9A$6.B.A2.A2.A17$8.6A$8.6B6$18.A$17.3A$16.A.A$15.3A$14.
A.A$13.3A$12.A.A$11.3A$12.A3$8.2A$8.2B5$7.A$6.3A$5.A.A$4.3A$3.A.A$2.
3A.6B$.A.A.7A$3A$.A14$4.A$2.2B.A2.A2.A.B$2.A.9A$5.A2.A2.A!

Code: Select all

x = 36, y = 79, rule = b2cain3iq/s03i45/3
31.A$30.3A$29.A.A$28.3A$27.A.A$26.3A$25.A.A$24.3A$23.A.A$22.3A$21.A
.A$20.3A7.4A$19.A.A8.4B$18.3A$17.A.A$16.3A$15.A.A$14.3A$13.A.A$12.3A
18.A$11.A.A18.B.A$10.3A20.3A$9.A.A18.A.A.A$8.3A18.B.3A$7.A.A20.A.A$
6.3A20.3A$5.A.A20.A.A$4.3A20.3A$3.A.A.B20.A$2.3A.A23.A$.A.A$3A$.A.25B
$2.26A7$31.A$28.A.3A$27.B.A.A$28.3A$27.A.A$24.A.3A$23.B.A.A$24.3A$23.
A.A$20.A.3A$19.B.A.A$20.3A7.4A$19.A.A8.4B$16.A.3A$15.B.A.A$16.3A$15.
A.A$12.A.3A$11.B.A.A$12.3A18.A$11.A.A18.B.A$8.A.3A20.3A$7.B.A.A18.A
.A.A$8.3A18.B.3A$4.A2.A.A20.A.A$3.A2.3A20.3A$2.A2.A.A20.A.A$4.3A20.
3A$3.A.A.B20.A$2.3A.A23.A$.A.A$3A$.A.25B$2.26A3$4.A2.A2.A2.A2.A2.A2.
A2.A$3.24A$4.A2.A2.A2.A2.A2.A2.A2.A!

Code: Select all

x = 4, y = 8, rule = b2cain3iq/s03i45/3
.A$3A$.A$2.BA$2.BA$.A$3A$.A!

Code: Select all

x = 11, y = 18, rule = b2cain3iq/s03i45/3
7.A$5.A3.A$4.3A.3A$3.A.A.B.A$2.3A.A$.A.A.2A.A$3A2.2B$.A.B.B$2.A.A$2.
A.A$.A.B.B$3A2.2B$.A.A.2A.A$2.3A.A$3.A.A.B.A$4.3A.3A$5.A3.A$7.A!

Code: Select all

x = 194, y = 18, rule = b2cain3iq/s03i45/3
7.A178.A$5.A3.A174.A3.A$4.3A.3A172.3A.3A$3.A.A.B.A174.A.B.A.A$2.3A3.
A51.BA70.AB51.A3.3A$.A.A.B54.BA70.AB54.B.A.A$3A.A55.BA70.AB55.A.3A$
.A7.A14.BA9.BA33.BA50.AB33.AB9.AB14.A7.A$3.BA6.BA6.BA3.BA9.BA2.BA6.
BA2.BA14.BA.BA3.BA13.BA10.AB13.AB3.AB.AB14.AB2.AB6.AB2.AB9.AB3.AB6.
AB6.AB$3.BA6.BA6.BA3.BA9.BA2.BA6.BA2.BA14.BA.BA3.BA13.BA10.AB13.AB3.
AB.AB14.AB2.AB6.AB2.AB9.AB3.AB6.AB6.AB$.A7.A14.BA9.BA33.BA50.AB33.A
B9.AB14.A7.A$3A.A55.BA70.AB55.A.3A$.A.A.B54.BA70.AB54.B.A.A$2.3A3.A
51.BA70.AB51.A3.3A$3.A.A.B.A174.A.B.A.A$4.3A.3A172.3A.3A$5.A3.A174.
A3.A$7.A178.A!

Oscillators in second rule:

Code: Select all

x = 13, y = 8, rule = b2cain3iq/s03i45/3
.A$3A$.A4.BA$6.BA4.A$A$11.A$10.3A$11.A!

Code: Select all

x = 12, y = 28, rule = b2cain3iq/s03i45/3
7.A$6.3A$5.A.A$4.3A$3.A.A$2.3A$.A.A$3A$.A4$6.4A$6.4B6$10.A$9.3A$8.A
.A$7.3A$6.A.A$2.A2.3A$4.A.A$3.3A$4.A!

Brian Prentice

Posted: **May 5th, 2022, 7:46 am**

Period 68, 17 and 11 oscillators that work in both rules:

Code: Select all

x = 153, y = 45, rule = b2cain3q/s03i45/3
20.A56.A56.A$19.3A54.3A54.3A$20.A2.A53.A2.A53.A2.A$18.A3.3A50.A3.3A
50.A3.3A$17.3A3.A2.A47.3A3.A2.A47.3A3.A2.A$18.A6.3A47.A6.3A47.A6.3A
$26.A56.A56.A$22.A56.A56.A$21.3A54.3A54.3A$20.A.A.A52.A.A.A50.A.A.A
.A$19.3A.3A50.3A.3A48.B.3A.3A$18.A.A3.A.A46.A.A.A3.A.A41.A6.A.A3.A.
A.B5.A$17.3A2.A2.3A44.B.3A2.A2.3A39.3A4.3A2.A2.3A.A3.3A$16.A.A7.A.A
44.A.A7.A.A39.A4.A.A7.A.A5.A2.A$15.3A9.3A42.3A9.3A36.A5.3A9.3A6.3A$
14.A.A11.A.A40.A.A11.A.A.B32.3A3.A.A11.A.A6.A$13.3A13.3A38.3A13.3A.
A32.A3.3A2.A7.A2.3A3.A$5.A6.A.A15.A.A7.A21.A6.A.A15.A.A7.A23.A6.A.A
11.A.A3.3A$4.3A4.3A17.3A5.3A19.3A4.3A17.3A5.3A21.3A6.3A9.3A5.A$5.A4.
A.A19.A.A5.A2.A18.A4.A.A19.A.A5.A2.A20.A2.A5.A.A7.A.A4.A$3.A5.3A21.
3A6.3A15.A5.3A21.3A6.3A21.3A3.A.3A2.A2.3A4.3A$2.3A3.A.A23.A.A6.A15.
3A3.A.A23.A.A6.A23.A5.B.A.A3.A.A6.A$3.A3.3A2.A19.A2.3A3.A18.A3.3A2.
A19.A2.3A3.A34.3A.3A.B$.A6.A.A23.A.A3.3A15.A6.A.A23.A.A3.3A34.A.A.A
.A$3A6.3A21.3A5.A15.3A6.3A21.3A5.A36.3A$.A2.A5.A.A19.A.A4.A18.A2.A5.
A.A19.A.A4.A39.A$3.3A3.A.3A17.3A4.3A19.3A5.3A17.3A4.3A34.A$4.A5.B.A
.A15.A.A6.A21.A7.A.A15.A.A6.A34.3A6.A$13.3A13.3A36.A.3A13.3A43.A2.A
3.3A$14.A.A11.A.A38.B.A.A11.A.A46.3A3.A$15.3A9.3A42.3A9.3A48.A2.A$16.
A.A7.A.A44.A.A7.A.A51.3A$17.3A2.A2.3A46.3A2.A2.3A.B51.A$16.A.A.A3.A
.A48.A.A3.A.A.A$17.B.3A.3A50.3A.3A$20.A.A.A52.A.A.A$21.3A54.3A$22.A
56.A$18.A56.A$17.3A6.A47.3A6.A$18.A2.A3.3A47.A2.A3.3A$20.3A3.A50.3A
3.A$21.A2.A53.A2.A$23.3A54.3A$24.A56.A!

An alternate set:

Code: Select all

x = 149, y = 41, rule = b2cain3iq/s03i45/3
19.A56.A56.A$18.3A2.A51.3A2.A51.3A2.A$16.A2.A2.3A48.A2.A2.3A48.A2.A
2.3A$15.3A5.A48.3A5.A48.3A5.A$16.A56.A56.A$20.A56.A56.A$19.3A54.3A54.
3A$18.A.A.A52.A.A.A50.A.A.A.A$17.3A.3A50.3A.3A48.B.3A.3A$16.A.A3.A.
A46.A.A.A3.A.A48.A.A3.A.A.B4.A$15.3A2.A2.3A44.B.3A2.A2.3A39.A6.3A2.
A2.3A.A2.3A$14.A.A7.A.A44.A.A7.A.A37.3A4.A.A7.A.A4.A$13.3A9.3A42.3A
9.3A37.A4.3A9.3A5.A$12.A.A11.A.A40.A.A11.A.A.B38.A.A11.A.A3.3A$11.3A
13.3A38.3A13.3A.A32.A3.3A2.A7.A2.3A3.A$10.A.A15.A.A6.A29.A.A15.A.A6.
A25.3A3.A.A11.A.A$2.A6.3A17.3A4.3A20.A6.3A17.3A4.3A25.A5.3A9.3A4.A$
.3A4.A.A19.A.A4.A20.3A4.A.A19.A.A4.A28.A4.A.A7.A.A4.3A$2.A4.3A21.3A
5.A19.A4.3A21.3A5.A25.3A2.A.3A2.A2.3A6.A$6.A.A23.A.A3.3A22.A.A23.A.
A3.3A25.A4.B.A.A3.A.A$.A3.3A2.A19.A2.3A3.A18.A3.3A2.A19.A2.3A3.A34.
3A.3A.B$3A3.A.A23.A.A22.3A3.A.A23.A.A40.A.A.A.A$.A5.3A21.3A4.A19.A5.
3A21.3A4.A37.3A$3.A4.A.A19.A.A4.3A20.A4.A.A19.A.A4.3A37.A$2.3A2.A.3A
17.3A6.A20.3A4.3A17.3A6.A42.A$3.A4.B.A.A15.A.A29.A6.A.A15.A.A43.A5.
3A$11.3A13.3A36.A.3A13.3A43.3A2.A2.A$12.A.A11.A.A38.B.A.A11.A.A45.A
2.3A$13.3A9.3A42.3A9.3A50.A$14.A.A7.A.A44.A.A7.A.A$15.3A2.A2.3A46.3A
2.A2.3A.B$14.A.A.A3.A.A48.A.A3.A.A.A$15.B.3A.3A50.3A.3A$18.A.A.A52.
A.A.A$19.3A54.3A$20.A56.A$24.A56.A$17.A5.3A48.A5.3A$16.3A2.A2.A48.3A
2.A2.A$17.A2.3A51.A2.3A$21.A56.A!

Brian Prentice

Posted: **May 5th, 2022, 7:46 pm**

Both of the above 3 state rules support oscillators with periods 3, 4 and >5. Can anyone find a period 5 oscillator in either rule?

Brian Prentice

Posted: **May 6th, 2022, 8:32 am**

bprentice wrote: April 15th, 2022, 8:43 pm A 9 state rule:
...

reminds me of the dynamics from this rule:
viewtopic.php?f=12&t=4650&p=102648#p102648

Code: Select all

x = 26, y = 12, rule = 1c2kn3anqry4akqr5aq/1e2e3jk4jrw5j/3
24.2A$14.2A5.2A.2A$14.2A5.2A$23.2A$15.2A3.2A.2A$15.2A3.2A2$B2A2.B2A$
2.BA3.BA$B2A2.B2A8.2A2.2A$16.2A2.2A.2A$23.2A!

Code: Select all

x = 22, y = 40, rule = 1c2kn3anqry4akqr5aq/1e2e3jk4jrw5j/3
11.2A$11.2A2$2A11.2A$2A11.2A3$11.2A$11.2A4$11.2A$11.2A2$13.2A$13.2A3$
11.2A$11.2A7$8.2A2.2A5.2A$8.2A2.2A5.2A2$8.2A6.2A$8.2A6.2A$2.B2A15.2A$
4.BA14.2A$2.B2A$8.2A$8.2A2$8.2A$8.2A!

Code: Select all

x = 136, y = 52, rule = 1c2kn3anqry4akqr5aq/1e2e3jk4jrw5j/3
114.2A15.2A$111.2A.2A15.2A.2A$111.2A4.2A2.2A.2A2.2A4.2A$117.2A2.2A.2A
2.2A3$111.2A21.2A$111.2A.2A.2A.2A3.2A.2A.2A.2A$114.2A.2A.2A3.2A.2A.2A
2$119.2A5.2A$119.2A5.2A3$75.2A15.2A$72.2A.2A15.2A.2A$72.2A4.2A2.2A.2A
2.2A4.2A$78.2A2.2A.2A2.2A$100.2AB$99.AB$72.2A21.2A3.2AB$72.2A.2A.2A.
2A3.2A.2A.2A.2A$75.2A.2A.2A3.2A.2A.2A2$80.2A5.2A$80.2A5.2A2$49.2A15.
2A$46.2A.2A15.2A.2A$46.2A4.2A2.2A.2A2.2A4.2A$52.2A2.2A.2A2.2A$40.B2A$
42.BA$40.B2A3.2A21.2A$46.2A.2A.2A.2A3.2A.2A.2A.2A$49.2A.2A.2A3.2A.2A.
2A2$54.2A5.2A$54.2A5.2A2$9.2A15.2A$6.2A.2A15.2A.2A$6.2A4.2A2.2A.2A2.
2A4.2A$12.2A2.2A.2A2.2A$B2A31.2AB$2.BA29.AB$B2A3.2A21.2A3.2AB$6.2A.2A
.2A.2A3.2A.2A.2A.2A$9.2A.2A.2A3.2A.2A.2A2$14.2A5.2A$14.2A5.2A!

Posted: **May 7th, 2022, 8:33 am**

Still no gun using these constructions:

Code: Select all

x = 69, y = 79, rule = b2cain3iq/s03i45/3
33.A$32.3A$33.A.A$34.3A$35.A.A$36.3A$37.A.A$38.3A$39.A.A$40.3A$41.A
.A$42.3A$21.A21.A2.A$17.A2.3A16.A5.3A$16.3A2.A2.A13.3A5.A$17.A5.3A13.
A2.A$24.A16.3A$20.A21.A.A$19.3A21.3A$18.A.A.A21.A.A$17.3A.3A21.3A$16.
A.A3.A.A21.A.A$15.3A2.A2.3A21.3A$14.A.A7.A.A21.A.A$13.3A9.3A21.3A$12.
A.A11.A.A21.A.A$11.3A13.3A21.3A$3.A6.A.A15.A.A6.A14.A.A$2.3A4.3A17.
3A4.3A14.3A$3.A4.A.A19.A.A4.A16.A.A$.A5.3A21.3A5.A15.3A$3A3.A.A23.A
.A3.3A15.A.A$.A3.3A2.A19.A2.3A3.A2.A14.3A6.A$6.A.A23.A.A6.3A14.A.A4.
3A$2.A4.3A21.3A8.A16.3A4.A$.3A4.A.A19.A.A5.A21.A.A$2.A6.3A17.3A.A3.
3A18.A2.3A3.A$10.A.A15.A.A.B5.A.A19.A.A3.3A$11.3A13.3A9.3A17.3A5.A$
12.A.A11.A.A11.A.A15.A.A4.A$13.3A9.3A13.3A13.3A4.3A$14.A.A7.A.A15.A
.A11.A.A6.A$15.3A2.A2.3A17.3A9.3A$16.A.A3.A.A.A17.A.A7.A.A$17.3A.3A
.B19.3A5.3A$18.A.A.A23.A.A5.A$19.3A25.3A8.A$20.A27.A.A6.3A$16.A29.A
2.3A3.A2.A$15.3A5.A24.A.A3.3A$16.A2.A2.3A22.3A5.A$18.3A2.A22.A.A4.A
$19.A25.3A4.3A$44.A.A6.A$43.3A$42.A.A$41.3A$12.A27.A.A$11.3A25.3A$12.
A.A23.A.A$13.3A21.3A$14.A.A19.A.A$15.3A17.3A$16.A.A15.A.A$17.3A13.3A
$18.A.A11.A.A$19.3A9.3A$20.A.A7.A.A$21.3A2.A2.3A$22.A.A3.A.A$23.3A.
3A$24.A.A.A$25.3A$26.A$30.A$23.A5.3A$22.3A2.A2.A$23.A2.3A$27.A!

Brian Prentice

Posted: **May 10th, 2022, 3:27 pm**

Finally! Two guns from runners:

Code: Select all

x = 41, y = 26, rule = b2cain3iq/s03i45/3
3.A$2.A.A2$.A.A.A$3A.3A$.A.A.A2$2.A.A$3.A2$5.A$4.A.B$3.3A$4.A.A$5.3A
$6.A.A$7.3A$8.A.A$9.3A27.A$10.A.A25.3A$11.3A5.AB12.AB4.A$12.A6.AB12.
AB$12.A6.AB19.A$11.3A5.AB9.A$12.A16.3A$30.A!

Code: Select all

x = 68, y = 81, rule = b2cain3iq/s03i45/3
25.A2.A$27.3A$28.A$24.2A$24.2B5$23.A$22.3A$23.A3$24.4B$24.4A3$49.A.
A$48.A.B.A$47.3A.3A$48.A.B.A$49.A.A5$24.A2.A23.A$23.6A.B19.3A$24.A2.
A.A.A19.A.A.A$28.3A21.3A.B$29.A.A21.A.A$30.3A21.3A$31.A.A21.A.A$32.
3A21.3A6.A$33.A.A21.A.A4.3A$34.3A21.3A4.A$35.A.A21.A.A$36.3A18.A2.3A
3.A$37.A.A19.A.A3.3A$38.3A17.3A5.A$39.A.A15.A.A4.A$40.3A.B11.3A4.3A
$41.A.A.A9.A.A.A4.A$42.3A9.3A.B$43.A.A7.A.A$44.3A5.3A$45.A.A5.A$46.
3A8.A$47.A.A6.3A$45.A2.3A3.A2.A$47.A.A3.3A$46.3A5.A$45.A.A4.A$44.3A
4.3A$43.A.A6.A$3.A38.3A.B$2.3A36.A.A.A$A2.A2.A33.3A$2B.B.2B4.A27.A.
A$A2.A2.A3.3A25.3A$2.3A6.A.A23.A.A$3.A8.3A21.3A$13.A.A19.A.A$14.3A17.
3A$15.A.A15.A.A$16.3A13.3A$17.A.A11.A.A$18.3A9.3A$17.A.A.A7.A.A$18.
B.3A2.A2.3A.B$21.A.A3.A.A.A$22.3A.3A$23.A.A.A$24.3A$25.A$29.A$22.A5.
3A$21.3A2.A2.A$22.A2.3A$26.A!

Brian Prentice

Posted: **May 12th, 2022, 2:36 pm**

A 4 state rule which has oscillators for all periods > 5 and no ships.

Some oscillators:

Code: Select all

x = 107, y = 75, rule = b2a4eaqjrt5ciyr6e7c/s12a3iy4eqj5yr6ei/4
.A2.A2.A.A2.A2.A2.A2.A2.A2.A2.A2.A12.A2.A2.A.A2.A2.A2.A2.A2.A2.A12.
A2.A2.A.A2.A2.A2.A2.A$A2.A2.A3.A2.A2.A2.A2.A2.A2.A2.A2.A10.A2.A2.A3.
A2.A2.A2.A2.A2.A2.A10.A2.A2.A3.A2.A2.A2.A2.A2$.A22.2C2A5.A12.A16.2C
2A5.A12.A10.2C2A5.A$A23.2C2A6.A10.A17.2C2A6.A10.A11.2C2A6.A2$.A4.A3.
A2.A2.A2.A2.A2.A2.A4.A12.A4.A3.A2.A2.A2.A2.A4.A12.A4.A3.A2.A2.A4.A$
A6.A.A2.A2.A2.A2.A2.A2.A6.A10.A6.A.A2.A2.A2.A2.A6.A10.A6.A.A2.A2.A6.
A2$.A4.A20.A6.A11.A4.A14.A6.A11.A4.A8.A6.A$A6.A20.A4.A11.A6.A14.A4.
A11.A6.A8.A4.A2$.A4.A20.A6.A11.A4.A14.A6.A11.A4.A8.A6.A$A6.A20.A4.A
11.A6.A14.A4.A11.A6.A8.A4.A2$.A4.A20.A6.A11.A4.A14.A6.A11.A4.A8.A6.
A$A6.A20.A4.A11.A6.A14.A4.A11.A6.A8.A4.A2$.A4.A20.A6.A11.A4.A14.A6.
A11.A4.A8.A6.A$A6.A20.A4.A11.A6.A14.A4.A11.A6.A8.A4.A2$.A4.A20.A6.A
11.A4.A14.A6.A11.A4.A8.A6.A$A6.A20.A4.A11.A6.A14.A4.A11.A6.A8.A4.A2$
.A4.A20.A6.A11.A4.A14.A6.A11.A4.A8.A6.A$A6.A20.A4.A11.A6.A14.A4.A11.
A6.A8.A4.A2$A6.A2.A2.A2.A2.A2.A2.A.A6.A10.A6.A2.A2.A2.A2.A.A6.A10.A
6.A2.A2.A.A6.A$.A4.A2.A2.A2.A2.A2.A2.A3.A4.A12.A4.A2.A2.A2.A2.A3.A4.
A12.A4.A2.A2.A3.A4.A2$A33.A10.A27.A10.A21.A$.A31.A12.A25.A12.A19.A2$
A2.A2.A2.A2.A2.A2.A2.A2.A3.A2.A2.A10.A2.A2.A2.A2.A2.A2.A3.A2.A2.A10.
A2.A2.A2.A2.A3.A2.A2.A$.A2.A2.A2.A2.A2.A2.A2.A2.A.A2.A2.A12.A2.A2.A
2.A2.A2.A2.A.A2.A2.A12.A2.A2.A2.A2.A.A2.A2.A6$.A2.A2.A.A2.A2.A15.A2.
A2.A.A2.A2.A15.A2.A2.A.A2.A2.A15.A2.A2.A.A2.A2.A$A2.A2.A3.A2.A2.A13.
A2.A2.A3.A2.A2.A13.A2.A2.A3.A2.A2.A13.A2.A2.A3.A2.A2.A2$.A3.2C2A6.A
15.A3.2C2A6.A15.A3.2C2A6.A15.A3.2C2A6.A$A4.2C2A7.A13.A4.2C2A7.A13.A
4.2C2A7.A13.A4.2C2A7.A2$.A4.A3.A4.A15.A4.A3.A4.A15.A4.A3.A4.A15.A4.
A3.A4.A$A6.A.A6.A13.A6.A.A6.A13.A6.A.A6.A13.A6.A.A6.A2$.A4.A2.A6.A14.
A4.A2.A6.A14.A4.A2.A6.A13.A6.A.A6.A$A6.A2.A4.A14.A6.A2.A4.A14.A6.A2.
A4.A15.A4.A3.A4.A2$.A4.A2.A6.A14.A4.A2.A6.A14.A4.A2.A6.A13.A15.A$A6.
A2.A4.A14.A6.A2.A4.A14.A6.A2.A4.A15.A13.A2$.A4.A2.A6.A14.A4.A2.A6.A
13.A6.A.A6.A13.A2.A2.A3.A2.A2.A$A6.A2.A4.A14.A6.A2.A4.A15.A4.A3.A4.
A15.A2.A2.A.A2.A2.A2$.A4.A2.A6.A14.A4.A2.A6.A13.A15.A$A6.A2.A4.A14.
A6.A2.A4.A15.A13.A2$.A4.A2.A6.A13.A6.A.A6.A13.A2.A2.A3.A2.A2.A$A6.A
2.A4.A15.A4.A3.A4.A15.A2.A2.A.A2.A2.A2$.A4.A2.A6.A13.A15.A$A6.A2.A4.
A15.A13.A2$A6.A.A6.A13.A2.A2.A3.A2.A2.A$.A4.A3.A4.A15.A2.A2.A.A2.A2.
A2$A15.A$.A13.A2$A2.A2.A3.A2.A2.A$.A2.A2.A.A2.A2.A!

The first column of the following table shows the periods of these oscillators.

Code: Select all

 108  54  27  18  9
  96  48  24  16  8
  84  42  21  14  7
  72  36  18  12  6
  60  30  15  10  5
  48  24  12   8  4
  36  18   9   6  3

Columns 2, 3, 4 and 5 are the periods divided by 2, 4. 6 and 12. The minimum distance between runners is 6. The table proves that oscillators with all periods > 5 can be constructed.

The first 5 oscillators:

Code: Select all

x = 107, y = 35, rule = b2a4eaqjrt5ciyr6e7c/s12a3iy4eqj5yr6ei/4
.A2.A2.A.A2.A2.A6.A2.A2.A.A2.A2.A2.A2.A6.A2.A2.A.A2.A2.A6.A2.A2.A.A
2.A2.A6.A2.A2.A.A2.A2.A$A2.A2.A3.A2.A2.A4.A2.A2.A3.A2.A2.A2.A2.A4.A
2.A2.A3.A2.A2.A4.A2.A2.A3.A2.A2.A4.A2.A2.A3.A2.A2.A2$.A3.2C2A3.2B.A
6.A3.2C2A3.2C2A5.A6.A3.2C2A6.A6.A3.2C2A6.A6.A3.2C2A6.A$A4.2C2A3.2B2.
A4.A4.2C2A3.2C2A6.A4.A4.2C2A7.A4.A4.2C2A7.A4.A4.2C2A7.A$3.2A7.2A25.
2B19.2B19.2C$.A.2A.A3.A4.A6.A.2A.A3.A2.A2.A.2B.A6.A4.A3.A.2B.A6.A4.
A3.A.2C.A6.A4.A3.A4.A$A2.2C2.A.A6.A4.A2.2B2.A.A2.A2.A2.2A2.A4.A2.2A
2.A.A2.2A2.A4.A6.A.A2.2A2.A4.A6.A.A2.2B2.A$2.B2.B5.B2.B9.2B25.2A19.
2A7.2A18.A2BA$A6.A.A2.2C2.A5.A4.A8.A6.A5.A.2C.A2.A6.A4.A2.2A2.A.A6.
A5.A.2A.A2.A2.2A2.A$.A4.A3.A.2A.A5.A6.A8.A4.A5.A2.2C2.A2.A4.A6.A.2C
.A3.A4.A5.A2.2A2.A2.A4.A$3.2A7.2A58.2C19.2C$A2.2B3.2A2C4.A5.A4.A8.A
2.2B2.A5.A4.A2.A2.2C2.A4.A7.2A2C4.A5.A.2C.A2.A6.A$.A.2B3.2A2C3.A5.A
2.2A2.A8.A.2B.A5.A6.A2.A.2C.A6.A6.2A2C3.A5.A6.A2.A4.A$24.2A13.2A19.
2A$A2.A2.A3.A2.A2.A5.A.2C.A8.A6.A4.A2.2A2.A.A2.2A2.A4.A2.A2.A3.A2.A
2.A5.A4.A2.A6.A$.A2.A2.A.A2.A2.A5.A2.2C2.A8.A4.A6.A.2B.A3.A4.A6.A2.
A2.A.A2.A2.A5.A6.A2.A.2C.A$51.2B49.2C$22.A4.A8.A2.2C2.A4.A7.2A2C4.A
26.A4.A2.A2.2A2.A$21.A6.A8.A.2C.A6.A6.2A2C3.A26.A2.2A2.A2.A.2A.A$24.
2A13.2A51.A2BA$22.A.2B.A8.A2.2A2.A4.A2.A2.A3.A2.A2.A25.A2.2B2.A.A6.
A$21.A2.2B2.A8.A4.A6.A2.A2.A.A2.A2.A27.A4.A3.A4.A2$22.A4.A8.A6.A46.
A7.2A2C4.A$21.A6.A8.A4.A48.A6.2A2C3.A$39.2B$21.A2.2A2.A2.A2.A.A2.2B
2.A46.A2.A2.A3.A2.A2.A$22.A.2B.A2.A2.A3.A.2A.A48.A2.A2.A.A2.A2.A$24.
2B$21.A6.2A2C3.2A2C4.A$22.A5.2A2C3.2A2C3.A2$21.A2.A2.A2.A2.A3.A2.A2.
A$22.A2.A2.A2.A2.A.A2.A2.A!

Brian Prentice

Posted: **May 14th, 2022, 10:42 pm**

Reduced my /oscillator\ gun a bit more:

Code: Select all

x = 28, y = 33, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/21
5.A2.A3.A3.A2.A$14.C$3.A9.CD2BGHEF.A$9.2A.DEBCHIFGE$9.ABD.EFH.IJI$A6.
2ACB2EGF2IKJ.I2.A$7.A2BDB2FHF2JL2JH$8.A.BCE.FGLMJKGIH$9.ABA.EFL.MNMHG
FEDCBA$A9.2A2.L2MON.MGFEDCBA$13.L.M2NP2NM$12.L2M.PQNON.M$11.L.MNP.QRQ
.2NM$A10.2MON2QSR.QON.M.A$12.2NPN2RT2ROP2N$14.NOT.RSOQ2O2M$14.NT4.PO.
N2L.A$A20.ON.2K$24.2J$24.2I$22.A.2H$A23.2G$20.A3.2F$24.2E$16.A7.2D$A23.
2C$24.2B$24.2A$12.A$A2$.A3.A$8.A!

Posted: **July 23rd, 2022, 1:22 pm**

yujh wrote: March 25th, 2022, 6:03 pm Here, me, the pest, displays the most useless pattern in the world.
Code: Select all
x = 35, y = 25, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
18.HGFEDCBA$18.HGFEDCBA$17.HGFEDCBA$17.HGFEDCBA2$16.2HFE2DBA$18.EG2EA
C2A$A3.A3.A.A6.2H2F2D2BA$17.FGFEBCBA$10.A3.A2.HAFEDABA$A6.H4.B$8.FGDE
BC2A.HGFEDCBA$5.A.FH2FBD2BA.HGFEDCBA.HGFEDCBA$A6.GF.ECB2A11.HGFEDCBA$
3.ABADCF$3.2ACBED.A.A3.A3.A3.A.HGAEDC2A$26.HEFEDABA$A2.A2.A.A.A16.2G
2E2C2A$24.H.2HDF2DABA$25.H2GED2C2A2$26.HGFEDCBA$26.HGFEDCBA$27.HGFEDC
BA$27.HGFEDCBA!
And who needs such an ugly ship to be the third speed in this rule?
Code: Select all
x = 5, y = 5, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
BCFG$ABDFH$2ACEG$ABDFH$ADEH!
Edit:because how good the rule is, a pest like me doesn't know how to synthesize things like the c/2d, and you absolutely don't need to help a random pest(or the only pest, see, I'm very special)

I like the top one because you are constructing the Conduit just ahead of the SpaceShips that need to travel thru it...

Bottom, Yellow-Orange-Red perfect Three...

EDIT :

ran out of time HERE, but I will be BACK to give everyone a like

some day...

Posted: **August 5th, 2022, 10:13 am**

Not a new speed, but a new spaceship.

Code: Select all

x = 10, y = 6, rule = 02a3enr4aei5cq6akn8/2a3ej4aeik5c6ekn7c/9
A2.A2.A2.A$B3A2.3AB$ECBC2DCBCE$FEDE2CEDEF$.GFG2HGFG$2.H.2G.H!

ConwayLife.com

NTG

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