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The "Ruler Rule"

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The "Ruler Rule"

Posted: April 15th, 2010, 10:18 pm
by Extrementhusiast
In B2/S34568/C10, rulers are often generated. They actually look like rulers! Czech this out:

Code: Select all

x = 133, y = 246, rule = 34568/2/10
7.IHGFEDCBA$7.IHGFEDCBA4$13.2A$13.2BA$13.2CB$13.2DCA$13.2EDBA$13.2FEC
BA$13.2GFDCB$13.2HGEDCA$13.2IHFEDB$15.IGFECA$16.HGFDB$16.IHGEC$17.IHF
D$18.IGE$19.HF$19.IG$20.H8.2A$20.I8.2BA$29.2CB$29.2DCA$29.2EDBA$29.2F
ECBA$29.2GFDCB$29.2HGEDCA$29.2IHFEDB$31.IGFECA$32.HGFDB$32.IHGEC$33.I
HFD$34.IGE$35.HF$35.IG$36.H8.2A$36.I8.2BA$45.2CB$45.2DCA$45.2EDBA$45.
2FECBA$45.2GFDCB$45.2HGEDCA$45.2IHFEDB$47.IGFECA$48.HGFDB$39.2A7.IHGE
C$39.3A7.IHFD$38.3A9.IGE$39.B3A8.HF$37.4A.B8.IG$35.3A.D2A.A8.H8.2A$
35.ABC3A2.B8.I8.2BA$37.D.2AFC3A15.2CB$37.F2AG.ADCBA14.2DCA$36.EG.4A.E
DCBA12.2EDBA$32.ABCDFE2AI.ADFEDCBA11.2FECBA$30.ABCDE.GD.3AHGFEDCBA11.
2GFDCB$29.ABCDE3FH3A.I18.2HGEDCA$28.ABCDEFGHIEA.3A18.2IHFEDB$26.ABCDE
FGHI.CDC2A.B20.IGFECA$25.ABCDEFGHI2.IB2.2A2.IHGFEDCBA11.HGFDB$25.ABCD
EFGHI2.AB3A.I3.IHGFEDCBA9.IHGEC$37.D.3AC4.IHGFEDCBA9.IHFD$37.F2A.A6.I
HGFEDCBA9.IGE$37.G.2AHIH6.IHGFEDCBA8.HF$22.ABCDEFGHI6.C2A.DG8.IHGFEDC
BA7.IG$20.ABCDEFGHI8.D.2AFGF7.IHGFEDCBA8.H8.2A$19.ABCDEFGHI9.H3A.I25.
I8.2BA$18.ABCDEFGHI10.EA.3A34.2CB$16.ABCDEFGHI12.DB2A.B34.2DCA$15.ABC
DEFGHI14.I.2AH11.IHGFEDCBA14.2EDBA$15.ABCDEFGHI14.3A.I13.IHGFEDCBA12.
2FECBA$39.3AC14.IHGFEDCBA11.2GFDCB$37.F2A.A16.IHGFEDCBA10.2HGEDCA$37.
G.2AGI17.IHGFEDCBA8.2IHFEDB$12.ABCDEFGHI16.C2A.D19.IHGFEDCBA9.IGFECA$
10.ABCDEFGHI18.D.2AF19.IHGFEDCBA10.HGFDB$9.ABCDEFGHI19.H3A.E37.IHGEC$
8.ABCDEFGHI20.EA.3A38.IHFD$2A4.ABCDEFGHI22.DB2A.B39.IGE$2B3.ABCDEFGHI
24.I.2AH21.IHGFEDCBA10.HF$2C3.ABCDEFGHI24.3A.I23.IHGFEDCBA8.IG$2D37.
3AC24.IHGFEDCBA8.H8.2A$2E35.F2A.A26.IHGFEDCBA7.I8.2BA$2F35.G.2AGI27.I
HGFEDCBA14.2CB$2G35.C2A.D29.IHGFEDCBA13.2DCA$2H35.D.2AF29.IHGFEDCBA
13.2EDBA$2I35.H3A.E50.2FECBA$37.EA.3A50.2GFDCB$37.DB2A.B50.2HGEDCA$
38.I.2AH50.2IHFEDB$38.3A.I52.IGFECA$39.3AC53.HGFDB$37.F2A.A54.IHGEC$
37.G.2AGI54.IHFD$37.C2A.D56.IGE$37.D.2AF57.HF$37.H3A.E28.AI26.IG$37.E
A.3A8.ABCDEFGHI10.I2AG26.H8.2A$37.DB2A.B7.ABCDEFGHI11.3A.FEDCBA20.I8.
2BA$38.I.2AH6.ABCDEFGHI12.I.2AFEDCBA4.IHGF21.2CB$38.3A.I6.ABCDEFGHI
12.3A.G11.IHG20.2DCA$39.3AC28.4A12.IH20.2EDBA$37.F2A.A27.D2A.AH13.I
20.2FECBA$36.EG.2AGI25.CE.2AEG34.2GFDCB$36.DF2A.D26.BD2A.B13.GIH19.2H
GEDCA$37.E.2AF27.C.2AD13.HG20.2IHFEDB$38.3A.E11.FGED12.I2A.C11.FECI
21.IGFECA$38.H.3A11.D2AB12.F.2AI11.C3A22.HGFDB$37.GF2A.B11.B2A.A10.ED
2A2.H10.3A14.2A7.IHGEC$38.H.3AI12.2A12.F.2AIG12.2A13.3A7.IHFD$39.2A
13.D2A.I11.H2A.H11.B2A13.3A9.IGE$39.2AF13.2AG13.2AD13.2AH13.2AC9.HF$
38.GA.H12.2A.B12.EA.F12.IA14.DAEDB8.IG.HG$32.E5.I.A.G.A9.C.A.A.E9.G.A
.E.I9.A.A.I.C9.EFA.C9.IFECFED2.2A$31.FGFDCA.B.2A.BCBFECBHGEDF.2A.FGF.
IGFBAIH2.2A2.A.DCA.FECBD.2A.DEDHGED.IGFHG2A2.IHBA2.DCA.BDADFECB2A$30.
GH.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$30.E100A$31.2A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A$31.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.AI.GHEFCDAB3A$31.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.AI.G
HEFCDAB3A$31.2A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$30.E100A$30.GH.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A$31.FGFDCA.B.2A.BCBFECBHGEDF.2A.FGF.IGFBAIH2.2A2.A
.DCA.FECBD.2A.DEDHGED.IGFHG2A2.IHBA2.DCA.BDADFECB2A$32.E5.I.A.G.A9.C.
A.A.E9.G.A.E.I9.A.A.I.C9.EFA.C9.IFECFED2.2A$38.GA.H12.2A.B12.EA.F12.I
A14.DAEDB8.IG.HG$39.2AF13.2AG13.2AD13.2AH13.2AC9.HF$39.2A13.D2A.I11.H
2A.H11.B2A13.3A9.IGE$38.H.3AI12.2A12.F.2AIG12.2A13.3A7.IHFD$37.GF2A.B
11.B2A.A10.ED2A2.H10.3A14.2A7.IHGEC$38.H.3A11.D2AB12.F.2AI11.C3A22.HG
FDB$38.3A.E11.FGED12.I2A.C11.FECI21.IGFECA$37.E.2AF27.C.2AD13.HG20.2I
HFEDB$36.DF2A.D26.BD2A.B13.GIH19.2HGEDCA$36.EG.2AGI25.CE.2AEG34.2GFDC
B$37.F2A.A27.D2A.AH13.I20.2FECBA$39.3AC28.4A12.IH20.2EDBA$38.3A.I6.AB
CDEFGHI12.3A.G11.IHG20.2DCA$38.I.2AH6.ABCDEFGHI12.I.2AFEDCBA4.IHGF21.
2CB$37.DB2A.B7.ABCDEFGHI11.3A.FEDCBA20.I8.2BA$37.EA.3A8.ABCDEFGHI10.I
2AG26.H8.2A$37.H3A.E28.AI26.IG$37.D.2AF57.HF$37.C2A.D56.IGE$37.G.2AGI
54.IHFD$37.F2A.A54.IHGEC$39.3AC53.HGFDB$38.3A.I52.IGFECA$38.I.2AH50.
2IHFEDB$37.DB2A.B50.2HGEDCA$37.EA.3A50.2GFDCB$2I35.H3A.E50.2FECBA$2H
35.D.2AF29.IHGFEDCBA13.2EDBA$2G35.C2A.D29.IHGFEDCBA13.2DCA$2F35.G.2AG
I27.IHGFEDCBA14.2CB$2E35.F2A.A26.IHGFEDCBA7.I8.2BA$2D37.3AC24.IHGFEDC
BA8.H8.2A$2C3.ABCDEFGHI24.3A.I23.IHGFEDCBA8.IG$2B3.ABCDEFGHI24.I.2AH
21.IHGFEDCBA10.HF$2A4.ABCDEFGHI22.DB2A.B39.IGE$8.ABCDEFGHI20.EA.3A38.
IHFD$9.ABCDEFGHI19.H3A.E37.IHGEC$10.ABCDEFGHI18.D.2AF19.IHGFEDCBA10.H
GFDB$12.ABCDEFGHI16.C2A.D19.IHGFEDCBA9.IGFECA$37.G.2AGI17.IHGFEDCBA8.
2IHFEDB$37.F2A.A16.IHGFEDCBA10.2HGEDCA$39.3AC14.IHGFEDCBA11.2GFDCB$
15.ABCDEFGHI14.3A.I13.IHGFEDCBA12.2FECBA$15.ABCDEFGHI14.I.2AH11.IHGFE
DCBA14.2EDBA$16.ABCDEFGHI12.DB2A.B34.2DCA$18.ABCDEFGHI10.EA.3A34.2CB$
19.ABCDEFGHI9.H3A.I25.I8.2BA$20.ABCDEFGHI8.D.2AFGF7.IHGFEDCBA8.H8.2A$
22.ABCDEFGHI6.C2A.DG8.IHGFEDCBA7.IG$37.G.2AHIH6.IHGFEDCBA8.HF$37.F2A.
A6.IHGFEDCBA9.IGE$37.D.3AC4.IHGFEDCBA9.IHFD$25.ABCDEFGHI2.AB3A.I3.IHG
FEDCBA9.IHGEC$25.ABCDEFGHI2.IB2.2A2.IHGFEDCBA11.HGFDB$26.ABCDEFGHI.CD
C2A.B20.IGFECA$28.ABCDEFGHIEA.3A18.2IHFEDB$29.ABCDE3FH3A.I18.2HGEDCA$
30.ABCDE.GD.3AHGFEDCBA11.2GFDCB$32.ABCDFE2AI.ADFEDCBA11.2FECBA$36.EG.
4A.EDCBA12.2EDBA$37.F2AG.ADCBA14.2DCA$37.D.2AFC3A15.2CB$35.ABC3A2.B8.
I8.2BA$35.3A.D2A.A8.H8.2A$37.4A.B8.IG$39.B3A8.HF$38.3A9.IGE$39.3A7.IH
FD$39.2A7.IHGEC$48.HGFDB$47.IGFECA$45.2IHFEDB$45.2HGEDCA$45.2GFDCB$
45.2FECBA$45.2EDBA$45.2DCA$45.2CB$36.I8.2BA$36.H8.2A$35.IG$35.HF$34.I
GE$33.IHFD$32.IHGEC$32.HGFDB$31.IGFECA$29.2IHFEDB$29.2HGEDCA$29.2GFDC
B$29.2FECBA$29.2EDBA$29.2DCA$29.2CB$20.I8.2BA$20.H8.2A$19.IG$19.HF$
18.IGE$17.IHFD$16.IHGEC$16.HGFDB$15.IGFECA$13.2IHFEDB$13.2HGEDCA$13.
2GFDCB$13.2FECBA$13.2EDBA$13.2DCA$13.2CB$13.2BA$13.2A4$7.IHGFEDCBA$7.
IHGFEDCBA!
Although it can currently fit in a 150x250 box, it probably could be shrunk (shrunken?) down more.

Description of this pattern: Two extending wickstretchers send spaceships off to both sides. One side is eaten (but it doesn't have to be, it works just as well without the extra spaceships, except that it generates unnecessary spaceships), and the other side moves to the right. At the other end, another, fatter wickstretcher periodically generates two spaceships (which again, are eaten) and two more wickstretchers identical to the first two. If one of these new wickstretchers encounters a fat spaceship, it stops and converts the fat spaceship to a much thinner one and also sends a third kind of spaceship off to the side, which will eventually run into one or another of the wickstretchers without exploding into chaos. If a wickstretcher encounters a thin kind of spaceship, it continues, and the spaceship which would have normally been produced to the left would be hit by the thin spaceship and be destroyed (but the thin spaceship would get destroyed as well), and the spaceship that is produced to the right falls into exactly the same spot as it had been before.

Re: The "Ruler Rule"

Posted: April 16th, 2010, 12:15 am
by Axaj
I reduced the bounding box to 103*150.

Code: Select all

x = 103, y = 150, rule = 34568/2/10
9.2A$9.3A$8.3A$9.B3A$7.4A.B$5.3A.D2A.A$5.ABC3A2.B$7.D.2AFC3A$7.F2AG.A
DCBA$6.EG.4A.EDCBA$3.BCDFE2AI.ADFEDCBA$3.DE.GD.3AHGFEDCBA$3.E3FH3A.I$
3.FGHIEA.3A$3.HI.CDC2A.B$3.I2.IB2.2A2.IHGFEDCBA$3.I2.AB3A.I3.IHGFEDCB
A$7.D.3AC4.IHGFEDCBA$7.F2A.A6.IHGFEDCBA$7.G.2AHIH6.IHGFEDCBA$7.C2A.DG
8.IHGFEDCBA$7.D.2AFGF7.IHGFEDCBA$7.H3A.I$7.EA.3A$7.DB2A.B$8.I.2AH11.I
HGFEDCBA$8.3A.I13.IHGFEDCBA$9.3AC14.IHGFEDCBA$7.F2A.A16.IHGFEDCBA$7.G
.2AGI17.IHGFEDCBA$7.C2A.D19.IHGFEDCBA$7.D.2AF19.IHGFEDCBA$7.H3A.E44.I
HGFEDCBA$7.EA.3A44.IHGFEDCBA$7.DB2A.B$8.I.2AH21.IHGFEDCBA$8.3A.I23.IH
GFEDCBA$9.3AC24.IHGFEDCBA17.2A$7.F2A.A26.IHGFEDCBA16.2BA$7.G.2AGI27.I
HGFEDCBA14.2CB$7.C2A.D29.IHGFEDCBA13.2DCA$7.D.2AF29.IHGFEDCBA13.2EDBA
$7.H3A.E50.2FECBA$7.EA.3A50.2GFDCB$7.DB2A.B50.2HGEDCA$8.I.2AH50.2IHFE
DB$8.3A.I52.IGFECA$9.3AC53.HGFDB$7.F2A.A54.IHGEC$7.G.2AGI54.IHFD$7.C
2A.D56.IGE$7.D.2AF57.HF$7.H3A.E28.AI26.IG$7.EA.3A8.ABCDEFGHI10.I2AG
26.H8.2A$7.DB2A.B7.ABCDEFGHI11.3A.FEDCBA20.I8.2BA$8.I.2AH6.ABCDEFGHI
12.I.2AFEDCBA4.IHGF21.2CB$8.3A.I6.ABCDEFGHI12.3A.G11.IHG20.2DCA$9.3AC
28.4A12.IH20.2EDBA$7.F2A.A27.D2A.AH13.I20.2FECBA$6.EG.2AGI25.CE.2AEG
34.2GFDCB$6.DF2A.D26.BD2A.B13.GIH19.2HGEDCA$7.E.2AF27.C.2AD13.HG20.2I
HFEDB$8.3A.E11.FGED12.I2A.C11.FECI21.IGFECA$8.H.3A11.D2AB12.F.2AI11.C
3A22.HGFDB$7.GF2A.B11.B2A.A10.ED2A2.H10.3A14.2A7.IHGEC$8.H.3AI12.2A
12.F.2AIG12.2A13.3A7.IHFD$9.2A13.D2A.I11.H2A.H11.B2A13.3A9.IGE$9.2AF
13.2AG13.2AD13.2AH13.2AC9.HF$8.GA.H12.2A.B12.EA.F12.IA14.DAEDB8.IG.HG
$2.E5.I.A.G.A9.C.A.A.E9.G.A.E.I9.A.A.I.C9.EFA.C9.IFECFED2.2A$.FGFDCA.
B.2A.BCBFECBHGEDF.2A.FGF.IGFBAIH2.2A2.A.DCA.FECBD.2A.DEDHGED.IGFHG2A
2.IHBA2.DCA.BDADFECB2A$GH.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$E100A$.2A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
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A.A.A.A.A.AI.GHEFCDAB3A$.2A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$E100A$GH.A.A
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2A2.A.DCA.FECBD.2A.DEDHGED.IGFHG2A2.IHBA2.DCA.BDADFECB2A$2.E5.I.A.G.A
9.C.A.A.E9.G.A.E.I9.A.A.I.C9.EFA.C9.IFECFED2.2A$8.GA.H12.2A.B12.EA.F
12.IA14.DAEDB8.IG.HG$9.2AF13.2AG13.2AD13.2AH13.2AC9.HF$9.2A13.D2A.I
11.H2A.H11.B2A13.3A9.IGE$8.H.3AI12.2A12.F.2AIG12.2A13.3A7.IHFD$7.GF2A
.B11.B2A.A10.ED2A2.H10.3A14.2A7.IHGEC$8.H.3A11.D2AB12.F.2AI11.C3A22.H
GFDB$8.3A.E11.FGED12.I2A.C11.FECI21.IGFECA$7.E.2AF27.C.2AD13.HG20.2IH
FEDB$6.DF2A.D26.BD2A.B13.GIH19.2HGEDCA$6.EG.2AGI25.CE.2AEG34.2GFDCB$
7.F2A.A27.D2A.AH13.I20.2FECBA$9.3AC28.4A12.IH20.2EDBA$8.3A.I6.ABCDEFG
HI12.3A.G11.IHG20.2DCA$8.I.2AH6.ABCDEFGHI12.I.2AFEDCBA4.IHGF21.2CB$7.
DB2A.B7.ABCDEFGHI11.3A.FEDCBA20.I8.2BA$7.EA.3A8.ABCDEFGHI10.I2AG26.H
8.2A$7.H3A.E28.AI26.IG$7.D.2AF57.HF$7.C2A.D56.IGE$7.G.2AGI54.IHFD$7.F
2A.A54.IHGEC$9.3AC53.HGFDB$8.3A.I52.IGFECA$8.I.2AH50.2IHFEDB$7.DB2A.B
50.2HGEDCA$7.EA.3A50.2GFDCB$7.H3A.E50.2FECBA$7.D.2AF29.IHGFEDCBA13.2E
DBA$7.C2A.D29.IHGFEDCBA13.2DCA$7.G.2AGI27.IHGFEDCBA14.2CB$7.F2A.A26.I
HGFEDCBA16.2BA$9.3AC24.IHGFEDCBA17.2A$8.3A.I23.IHGFEDCBA$8.I.2AH21.IH
GFEDCBA$7.DB2A.B$7.EA.3A44.IHGFEDCBA$7.H3A.E44.IHGFEDCBA$7.D.2AF19.IH
GFEDCBA$7.C2A.D19.IHGFEDCBA$7.G.2AGI17.IHGFEDCBA$7.F2A.A16.IHGFEDCBA$
9.3AC14.IHGFEDCBA$8.3A.I13.IHGFEDCBA$8.I.2AH11.IHGFEDCBA$7.DB2A.B$7.E
A.3A$7.H3A.I$7.D.2AFGF7.IHGFEDCBA$7.C2A.DG8.IHGFEDCBA$7.G.2AHIH6.IHGF
EDCBA$7.F2A.A6.IHGFEDCBA$7.D.3AC4.IHGFEDCBA$3.I2.AB3A.I3.IHGFEDCBA$3.
I2.IB2.2A2.IHGFEDCBA$3.HI.CDC2A.B$3.FGHIEA.3A$3.E3FH3A.I$3.DE.GD.3AHG
FEDCBA$3.BCDFE2AI.ADFEDCBA$6.EG.4A.EDCBA$7.F2AG.ADCBA$7.D.2AFC3A$5.AB
C3A2.B$5.3A.D2A.A$7.4A.B$9.B3A$8.3A$9.3A$9.2A!

Re: The "Ruler Rule"

Posted: July 13th, 2012, 12:59 am
by chineseman
another ruler exteneder

Code: Select all

x = 26, y = 16, rule = 34568/2/10
5$12.FG5.A$2.F8.GHIHF.ABCB$.GIG3.ACA2.FEGEG.A.A.A$2A.5A.4A.GH3ADAB3A$
2A.5A.4A.GH3ADAB3A$.GIG3.ACA2.FEGEG.A.A.A$2.F8.GHIHF.ABCB$12.FG5.A!

Re: The "Ruler Rule"

Posted: July 13th, 2012, 7:06 pm
by p46beth
chineseman wrote:another ruler exteneder

Code: Select all

x = 26, y = 16, rule = 34568/2/10
5$12.FG5.A$2.F8.GHIHF.ABCB$.GIG3.ACA2.FEGEG.A.A.A$2A.5A.4A.GH3ADAB3A$
2A.5A.4A.GH3ADAB3A$.GIG3.ACA2.FEGEG.A.A.A$2.F8.GHIHF.ABCB$12.FG5.A!
Doesn't work...are you missing part of it?

Re:137ben

Posted: July 15th, 2012, 9:59 pm
by chineseman
137ben,I'm wrong.
here is the new "ruler"

Code: Select all

x = 71, y = 82, rule = 34568/2/10
29.IHGFEDCBA$29.IHGFEDCBA$28.2A$28.2BA$28.2CB$28.2DCA$28.2EDBA$28.2FE
CBA$28.2GFDCB$28.2HGEDCA$28.2IHFEDB$IHGFEDCBA21.IGFECA$2.IHGFEDCBA20.
HGFDB$3.IHGFEDCBA19.IHGEC$4.IHGFEDCBA19.IHFD$6.IHGFEDCBA18.IGE$7.IHGF
EDCBA18.HF$7.IHGFEDCBA18.IG$5.AB.2A25.H8.A2.A$6.A.2AH24.I.I6.4BA$5.B
4AFGFEDCBA26.4CB$4.A3.B2AGFEDCBA2.I.IHG19.4DCA$5.B2A2B.H10.I.IH18.4ED
BA$4.A.A2B2AB11.I.I18.4FECBA$4.EBEABIAI32.4GFDCB$3.DFDF3AFH32.4HGEDCA
$3.CECEAB.C11.H.H.I17.4IHFEDB$4.D.D3AE11.IHIH22.IGFECA$6.B.2A.D9.GFGF
D21.H.HGFDB$5.G.G3A10.DAD2AB11.A2.A5.IHIHGEC$4.FEFEABIAI8.B2A2B.A9.5A
6.I.IHFD$5.G.G3A.H10.AB2A11.5A6.I.IGE$5.IBI2A.I9.CACBA11.5A8.H.HF$6.
4AE11.4AI11.AB2AD7.IGIG$5.FBFA.G11.A.A.A10.EBEAFEC7.H.2HIH3.A2.A$5.HA
H.A.FA8.B.A.A3.D7.FGFGA.D8.G.GFDGFE2B2A$.HGCB.I5A.BDEDBFGFDCE3AFEFEIH
FEH.HGIH2A.I.ICBEDEDBECEBEGFDC2A$2.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$69A$2A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$2.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.IHIFGDEBC4A$2.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.IHIFGDEBC4A$2A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$69A$2.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$.HGCB.I5A.BDEDBFGFDCE3AF
EFEIHFEH.HGIH2A.I.ICBEDEDBECEBEGFDC2A$5.HAH.A.FA8.B.A.A3.D7.FGFGA.D8.
G.GFDGFE2B2A$5.FBFA.G11.A.A.A10.EBEAFEC7.H.2HIH3.A2.A$6.4AE11.4AI11.A
B2AD7.IGIG$5.IBI2A.I9.CACBA11.5A8.H.HF$5.G.G3A.H10.AB2A11.5A6.I.IGE$
4.FEFEABIAI8.B2A2B.A9.5A6.I.IHFD$5.G.G3A10.DAD2AB11.A2.A5.IHIHGEC$6.B
.2A.D9.GFGFD21.H.HGFDB$4.D.D3AE11.IHIH22.IGFECA$3.CECEAB.C11.H.H.I17.
4IHFEDB$3.DFDF3AFH32.4HGEDCA$4.EBEABIAI32.4GFDCB$4.A.A2B2AB11.I.I18.
4FECBA$5.B2A2B.H10.I.IH18.4EDBA$4.A3.B2AGFEDCBA2.I.IHG19.4DCA$5.B4AFG
FEDCBA26.4CB$6.A.2AH24.I.I6.4BA$8.B28.H6.A2.A$9.IHGFEDCBA18.IG$9.IHGF
EDCBA18.HF$8.IHGFEDCBA18.IGE$6.IHGFEDCBA19.IHFD$5.IHGFEDCBA19.IHGEC$
4.IHGFEDCBA20.HGFDB$2.IHGFEDCBA21.IGFECA$30.2IHFEDB$30.2HGEDCA$30.2GF
DCB$30.2FECBA$30.2EDBA$30.2DCA$30.2CB$30.2BA$30.2A$31.IHGFEDCBA$31.IH
GFEDCBA!

Re: The "Ruler Rule"

Posted: July 15th, 2012, 10:00 pm
by chineseman
My gun:

Code: Select all

x = 12, y = 5, rule = 34568/2/10
9.AC$7.I.3A$ABCDEFGH3AC$ABCDEFGH.A.B$8.I.A!

Re: The "Ruler Rule"

Posted: June 23rd, 2015, 10:25 am
by Alexey_Nigin
I mentioned this rule in my article about the ruler sequence.

Re: The "Ruler Rule"

Posted: June 23rd, 2015, 3:02 pm
by Kiran
It is clearly a breeder by the slab definition, but what is it's growth rate?

Re: The "Ruler Rule"

Posted: June 23rd, 2015, 4:14 pm
by Alexey_Nigin
Kiran wrote:It is clearly a breeder by the slab definition, but what is it's growth rate?
Linear.

Re: The "Ruler Rule"

Posted: June 30th, 2015, 12:07 pm
by gameoflifeboy
A single block in this rule is even more interesting, because it appears to create a normal ruler sequence for a while, but at generation 2^19 wickstretchers extend out and form a square. As it turns out, squares form at generations 8*4, 8*(4 + 2^4), 8*(4 + 2^4 + 2^2^4), 8*(4 + 2^4 + 2^2^4 + 2^2^2^4)..., the 4th term of which has over 19000 digits.

Code: Select all

x = 2, y = 2, rule = 34568/2/10
2A$2A!

Re: The "Ruler Rule"

Posted: June 30th, 2015, 6:56 pm
by Kiran
So what is the growth rate?
t log*(t)?

Re: The "Ruler Rule"

Posted: July 1st, 2015, 1:19 pm
by apg
Kiran wrote:So what is the growth rate?
t log*(t)?
No, it's linear.

Re: The "Ruler Rule"

Posted: July 5th, 2015, 12:04 am
by Saka
I found a thing that makes "wires"

Code: Select all

x = 77, y = 77, rule = 34568/2/10
38.2A$37.3A$38.3A$36.4A$36.B.2AC$36.3AD.B$38.2ACD$37.F2A.EC$36.ECG2AD
B$36.GF2A.C$35.FH.2AI$35.EG2A.FH$36.F.2AI$37.B2A2.I$36.AI.2A.H$37.B2A
.I$36.A.2AE$37.2A.ADB$38.2AE2C$37.H2A.D$35.EGD.2AC$35.2FH2A.B$36.G.2A
$36.F2A.G.H$36.E.3A2I$37.C2A$39.2AI$37.D2A.H$36.C.2AF$36.B2A.B$36.A.
2AD.EDC$37.I2A.FGFED$37.F.2AH.A.EC$38.2A2.3AFD$36.I.2A.A.A.GE5.IH4.CB
2.HI4.BC$10.FE8.EF13.HG2A.A.A.HF3.HI.I2.BCDCD.I3.H.CDEDB$3.ABA2.EGHGF
.A.A3.GFGFE3.CBA3.IG2.2A.A2.A.DBF.A.AG2.A.EAE.A.IFI.A.C.C.A$.A.A.A.FC
F.A.BIB.A.HDH.A.C.D.A.IF2.A.2A.A.5A.5A.5A.5A.5AD5A$8AG5A.5A.5A.5A.5A.
5A.5A.5A.5A.5AG8A$5AD5A.5A.5A.5A.5A.A.2A.A2.FI.A.D.C.A.HDH.A.BIB.A.FC
F.A.A.A$2.A.C.C.A.IFI.A.EAE.A2.GA.A.FBD.A2.A.2A2.GI3.ABC3.EFGFG3.A.A.
FGHGE2.ABA$5.BDEDC.H3.I.DCDCB2.I.IH3.FH.A.A.2AGH13.FE8.EF$7.CB4.IH2.B
C4.HI5.EG.A.A.2A.I$30.DF3A2.2A$30.CE.A.H2A.F$31.DEFGF.2AI$32.CDE.D2A.
A$36.B.2AB$36.F2A.C$35.H.2AD$35.I2A$37.2AC$34.2I3A.E$34.H.G.2AF$37.2A
.G$35.B.2AH2F$35.C2A.DGE$35.D.2AH$34.2CE2A$34.BDA.2A$36.E2A.A$35.I.2A
B$34.H.2A.IA$34.I2.2AB$36.I2A.F$35.HF.2AGE$36.I2A.HF$35.C.2AFG$34.BD
2AGCE$34.CE.2AF$35.DC2A$35.B.D3A$36.C2A.B$37.4A$36.3A$37.3A$37.2A!

Re: The "Ruler Rule"

Posted: July 5th, 2015, 12:15 am
by Saka
A p6 c/1 spaceship:

Code: Select all

x = 16, y = 12, rule = 34568/2/10
7.CB4.IH$5.BDEDC.H3.I$2.A.CAC.B.IGI.H$5ADCF2CF.I.2I$3ABADCFDHF.I$2.A.
A.C.E.G.I$2.A.A.C.E.G.I$3ABADCFDHF.I$5ADCF2CF.I.2I$2.A.CAC.B.IGI.H$5.
BDEDC.H3.I$7.CB4.IH!
And the front end can a 12-gen predecessor:

Code: Select all

x = 3, y = 8, rule = 34568/2/10
2.A$3A$3A$2.A$2.A$3A$3A$2.A!
And some guns:

Code: Select all

x = 5, y = 10, rule = 34568/2/10
.EDC$F.A.B$G4A$3A$2.A$2.A$3A$G4A$F.A.B$.EDC!

Code: Select all

x = 4, y = 8, rule = 34568/2/10
BH.C$C2AD$3A$2.A$2.A$3A$C2AD$BH.C!

Code: Select all

x = 13, y = 14, rule = 34568/2/10
5.FGCBA$5.I2A.B$.EDGH.3ACAI$F.A.E2A.A.B.H$G3AG.5AI$3A4.2A$2.A.3A.A$2.
A.3A.A$3A4.2A$G3AG.5AI$F.A.E2A.A.B.H$.EDGH.3ACAI$5.I2A.B$5.FGCBA!

Code: Select all

x = 11, y = 14, rule = 34568/2/10
2.BA.IAB$.C.A2.A.C$.D6ADB$F.A.2A.A.CA$G4A.3AB$3A.G.2A.A$2.A.EF.A$2.A.
EF.A$3A.G.2A.A$G4A.3AB$F.A.2A.A.CA$.D6ADB$.C.A2.A.C$2.BA.IAB!

Code: Select all

x = 8, y = 12, rule = 34568/2/10
4.ABC$DE3.A.D$B6AE$.6AC$CD3.A.B$6.A$6.A$CD3.A.B$.6AC$B6AE$DE3.A.D$4.A
BC!
A gun can turn the p6 spaceship into another spaceship:

Code: Select all

x = 58, y = 16, rule = 34568/2/10
12.CBA.AB$11.D.A2.A.C$11.E6ADB$10.F.A.2A.A.CA$10.G4AH3AB33.ED$10.3A.G
.2A.A27.A3.DFGFE$.A10.A.EF.A28.A.A.ECE.D2.I$3A9.A.EF.A26.3AB2ABFEH2EH
$.A8.3A.G.2A.A24.3ABADBFEHF.H$10.G4AH3AB26.A.A.C.E.G.I$10.F.A.2A.A.CA
25.A.A.C.E.G.I$11.E6ADB24.3ABADBFEHF.H$11.D.A2.A.C25.3AB2ABFEH2EH$12.
CBA.AB28.A.A.ECE.D2.I$47.A3.DFGFE$53.ED!
An interesting p10 that can have a different period on each "arm":

Code: Select all

x = 4, y = 4, rule = 34568/2/10
.AE$E3A$3AE$.EA!

Code: Select all

x = 4, y = 4, rule = 34568/2/10
I.DC$D2AH$.2AD$ID.C!

Re: The "Ruler Rule"

Posted: July 12th, 2015, 11:08 am
by Kiran
No, it's linear.
I understand why, in the sawmill the rakes last forever while here the wick-stretcher created at time x lasts only until time 2x, therefore the amount of active wick-stretcher does not diverge.
my article about the ruler sequence
Very good article!
However I don't understand why the CGOL ruler generator works, if no gliders are in the loop none ever get in and if one is introduced a growing Cantor Set results until it fills up the loop and gets complicated, also it is not hard to see that the c/12 puffer would not be destroyed unless the rake is removed.
But why does it create the ruler sequence, do you have any article that explains that?

Re: The "Ruler Rule"

Posted: July 13th, 2015, 1:15 am
by Extrementhusiast
Smaller predecessor to the ruler:

Code: Select all

x = 22, y = 22, rule = 34568/2/10
8.IHGFEDCBA$8.IHGFEDCBA3$11.B2.A$11.CB2A$.BEDBAEFCEGFDC2A$.A.A.A.A.A.
A.A.A.A$20A$A.A.A.A.A.A.A.A.A.A.A$2A.A.A.A.AHIFGDEBC4A$2A.A.A.A.AHIFG
DEBC4A$A.A.A.A.A.A.A.A.A.A.A$20A$.A.A.A.A.A.A.A.A.A$.BEDBAEFCEGFDC2A$
11.CB2A$11.B2.A3$8.IHGFEDCBA$8.IHGFEDCBA!

Re: The "Ruler Rule"

Posted: July 13th, 2015, 9:51 am
by Bullet51
Extrementhusiast wrote:Smaller predecessor to the ruler:

Code: Select all

x = 22, y = 22, rule = 34568/2/10
8.IHGFEDCBA$8.IHGFEDCBA3$11.B2.A$11.CB2A$.BEDBAEFCEGFDC2A$.A.A.A.A.A.
A.A.A.A$20A$A.A.A.A.A.A.A.A.A.A.A$2A.A.A.A.AHIFGDEBC4A$2A.A.A.A.AHIFG
DEBC4A$A.A.A.A.A.A.A.A.A.A.A$20A$.A.A.A.A.A.A.A.A.A$.BEDBAEFCEGFDC2A$
11.CB2A$11.B2.A3$8.IHGFEDCBA$8.IHGFEDCBA!
A trivial reduction is possible:

Code: Select all

x = 14, y = 22, rule = 34568/2/10
IHGFEDCBA$IHGFEDCBA3$3.B2.A$3.CB2A$.BEFDC2A$.A.A.A.A.A$12A$A.A.A.A.A.
A.A$2AHIFGDEBC4A$2AHIFGDEBC4A$A.A.A.A.A.A.A$12A$.A.A.A.A.A$.BEFDC2A$
3.CB2A$3.B2.A3$IHGFEDCBA$IHGFEDCBA!
For non-exact predecessors,what about a 6-cell predecessor for an alternative ruler generator:

Code: Select all

x = 4, y = 3, rule = 34568/2/10
2.2A$.A.A$A2.A!
a 5-cell predecessor for a skewed ruler:

Code: Select all

x = 3, y = 4, rule = 34568/2/10
2.A2$A.A$.2A!
and a 4-cell predecessor for a half ruler:

Code: Select all

x = 3, y = 2, rule = 34568/2/10
.2A$A.A!
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