B3456/S235678/9

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77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

B3456/S235678/9

Post by 77topaz » March 26th, 2018, 12:02 am

This is a totalistic Generations rule with some very interesting behaviour. In particular, it has some very high-period natural guns.

This one is p8009 (a prime number!):

Code: Select all

x = 17, y = 17, rule = 235678/3456/9
7.3A$7.3A$4.HG5AGH$3.11A$2.H11AH$2.G11AG$2.13A$17A$17A$17A$2.13A$2.G
11AG$2.H11AH$3.11A$4.HG5AGH$7.3A$7.3A!
And this one is p16725:

Code: Select all

x = 19, y = 19, rule = 235678/3456/9
9.B$5.A2.CBC2.A$2.15A$2.15A$2.15A$.4A.3A.3A.4A$2.15A$2.5A.3A.5A$.C15A
C$2B3A.3A.3A.3A2B$.C15AC$2.5A.3A.5A$2.15A$.4A.3A.3A.4A$2.15A$2.15A$2.
15A$5.A2.CBC2.A$9.B!
There are also natural c/10 wickstretchers:

Code: Select all

x = 40, y = 40, rule = 235678/3456/9
19.2A$16.D.A2DA.D$15.A2EF2AF2EA$14.AF8AFA$14.G10AG$13.GH10AHG$14.H10A
H$14.12A$14.12A$14.C10AC$14.C10AC$14.12A$12.EF12AFE$5.G6.F14AF6.G$3.A
G2H2A2C18A2C2A2HGA$2.AF32AFA$.DE34AED$2.E34AE$.AF34AFA$AD36ADA$AD36AD
A$.AF34AFA$2.E34AE$.DE34AED$2.AF32AFA$3.AG2H2A2C18A2C2A2HGA$5.G6.F14A
F6.G$12.EF12AFE$14.12A$14.C10AC$14.C10AC$14.12A$14.12A$14.H10AH$13.GH
10AHG$14.G10AG$14.AF8AFA$15.A2EF2AF2EA$16.D.A2DA.D$19.2A!
There are several natural spaceships, such as this 6c/12:

Code: Select all

x = 8, y = 9, rule = 235678/3456/9
2.C$.DE3A$FH2E2B$G.2HAD2A$3.HFDBA$.E.2FABA$.DF2C2A$2.BCA$3.A!
This 3c/13:

Code: Select all

x = 11, y = 3, rule = 235678/3456/9
.H3.2A.2A$G4.ABAGFA$.H3.2A.2A!
This 12c/24:

Code: Select all

x = 12, y = 12, rule = 235678/3456/9
6.B$5.CD2A$4.EG2D2A$4.F.2GACA$7.GEC2A$5.G.CE2A$5.EHADA$5.FEBA$H.F.AE
3A$G.2G3A$.FEF$2.E!
And this 30c/60:

Code: Select all

x = 9, y = 18, rule = 235678/3456/9
2.D.A$.EFBAB$G.2F2CA$H3.BE2A$4.GEC2A$3.DGACA$.2H2E2B$GH2EABA$DEF2D2A$
DEF2D2A$GH2EABA$.2H2E2B$3.DGACA$4.GEC2A$H3.BE2A$G.2F2CA$.EFBAB$2.D.A!
There are also a variety of high-period oscillators, such as this p11:

Code: Select all

x = 5, y = 5, rule = 235678/3456/9
2.A$.3A$5A$.3A$2.A!
p13:

Code: Select all

x = 14, y = 14, rule = 235678/3456/9
5.H2.H$5.H2.H2$5.4A$4.6A$2H.8A.2H$3.8A$3.8A$2H.8A.2H$4.6A$5.4A2$5.H2.
H$5.H2.H!
p14:

Code: Select all

x = 14, y = 14, rule = 235678/3456/9
5.4A$3.2AB2CB2A$2.BCAF2AFACB$.AC8ACA$.12A$ABF8AFBA$AC10ACA$AC10ACA$AB
F8AFBA$.12A$.AC8ACA$2.BCAF2AFACB$3.2AB2CB2A$5.4A!
p17:

Code: Select all

x = 8, y = 8, rule = 235678/3456/9
2.A2.A$.6A$8A$.6A$.6A$8A$.6A$2.A2.A!
p24:

Code: Select all

x = 7, y = 6, rule = 235678/3456/9
2.2A$.ABABA$AC4A$.4AC$3.2AFB$3.AEA!
p31:

Code: Select all

x = 6, y = 6, rule = 235678/3456/9
.3A$5A$6A$6A$.5A$2.3A!
p40:

Code: Select all

x = 16, y = 16, rule = 235678/3456/9
FG2.ACH2GHCA2.GF$GFED8ADEFG$.E12AE$.D12AD$16A$C14AC$H14AH$G14AG$G14AG
$H14AH$C14AC$16A$.D12AD$.E12AE$GFED8ADEFG$FG2.ACH2GHCA2.GF!
p55:

Code: Select all

x = 18, y = 18, rule = 235678/3456/9
5.A2G2F2GA$4.10A$4.10A$3.12A$.16A$18A$G16AG$G16AG$F16AF$F16AF$G16AG$G
16AG$18A$.16A$3.12A$4.10A$4.10A$5.A2G2F2GA!
p64:

Code: Select all

x = 6, y = 6, rule = 235678/3456/9
.A.A$5A$.5A$5A$.5A$2.A.A!
p66:

Code: Select all

x = 22, y = 22, rule = 235678/3456/9
7.3A2.3A$2.HGFED8ADEFGH$.H18AH$.G18AG$.F18AF$.E18AE$.D18AD$22A$22A$
22A$.20A$.20A$22A$22A$22A$.D18AD$.E18AE$.F18AF$.G18AG$.H18AH$2.HGFED
8ADEFGH$7.3A2.3A!
p75:

Code: Select all

x = 15, y = 15, rule = 235678/3456/9
6.ABA$.F2G.ACBCA.2GF$.GFED5ADEFG$.GE9AEG$2.D9AD$.13A$AC11ACA$2B11A2B$
AC11ACA$.13A$2.D9AD$.GE9AEG$.GFED5ADEFG$.F2G.ACBCA.2GF$6.ABA!
p265:

Code: Select all

x = 21, y = 21, rule = 235678/3456/9
7.A2.E2.A$6.A2BFEF2BA$6.C7AC$6.9A$4.13A$4.13A$.AC15ACA$AB17ABA$.B17AB
$.F17AF$2E17A2E$.F17AF$.B17AB$AB17ABA$.AC15ACA$4.13A$4.13A$6.9A$6.C7A
C$6.A2BFEF2BA$7.A2.E2.A!
p270:

Code: Select all

x = 31, y = 31, rule = 235678/3456/9
14.H.H$13.2A.2A$12.AD3ADA$9.FGAB5ABAGF$8.C.H9AH.C$5.ABDFDEG7AGEDFDBA$
5.B19AB$5.D19AD$4.CF19AFC$3.F.D19AD.F$3.GHE19AEHG$3.2AG19AG2A$2.AB23A
BA$.AD25ADA$H29AH$2.27A$H29AH$.AD25ADA$2.AB23ABA$3.2AG19AG2A$3.GHE19A
EHG$3.F.D19AD.F$4.CF19AFC$5.D19AD$5.B19AB$5.ABDFDEG7AGEDFDBA$8.C.H9AH
.C$9.FGAB5ABAGF$12.AD3ADA$13.2A.2A$14.H.H!
p892:

Code: Select all

x = 23, y = 23, rule = 235678/3456/9
11.A$.FG2.2G2EH3AH2E2G2.GF$.GFEDCB9ABCDEFG$2.E17AE$2.D17AD$.GC17ACG$.
GB17ABG$.E19AE$.E19AE$.H19AH$.21A$23A$.21A$.H19AH$.E19AE$.E19AE$.GB
17ABG$.GC17ACG$2.D17AD$2.E17AE$.GFEDCB9ABCDEFG$.FG2.2G2EH3AH2E2G2.GF$
11.A!

User avatar
77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: B3456/S235678/9

Post by 77topaz » March 26th, 2018, 3:50 am

Some more patterns from apgsearch:

A 6c/26 puffer:

Code: Select all

x = 11, y = 16, rule = 235678/3456/9
5.CDC$2.2ADEBED$2.2BAECEABA$.ADAGHGD3A$CEABCECEABA$DEBACEBED$2.4ADC$
4.A$4.A$2.4ADC$DEBACEBED$CEABCECEABA$.ADAGHGD3A$2.2BAECEABA$2.2ADEBED
$5.CDC!
A different p13:

Code: Select all

x = 8, y = 8, rule = 235678/3456/9
5.D$.B2CE.A$.CB3ACA$.C5A$.E3AH$D.2AH$.ACA$2.A!
p16:

Code: Select all

x = 9, y = 9, rule = 235678/3456/9
6.F$.BC2EG2A$.CB4AFA$.E6A$.E4AH$.G4A$F3AH$.AFA$2.A!
p18:

Code: Select all

x = 14, y = 14, rule = 235678/3456/9
5.A2BA$5.B2AB$4.6A$3.AB.2A.BA$2.AB6ABA$ABA.6A.ABA$B12AB$B12AB$ABA.6A.
ABA$2.AB6ABA$3.AB.2A.BA$4.6A$5.B2AB$5.A2BA!
p27:

Code: Select all

x = 20, y = 20, rule = 235678/3456/9
6.A2.2E2.A$3.HGF8AFGH$2.16A$.H16AH$.G16AG$.F16AF$20A$.18A$.18A$E18AE$
E18AE$.18A$.18A$20A$.F16AF$.G16AG$.H16AH$2.16A$3.HGF8AFGH$6.A2.2E2.A!
p107:

Code: Select all

x = 24, y = 24, rule = 235678/3456/9
7.2A.H2GH.2A$6.H.8A.H$7.10A$3.BCE12AECB$3.CB14ABC$3.E16AE$.H.18A.H$A.
20A.A$24A$.22A$H22AH$G22AG$G22AG$H22AH$.22A$24A$A.20A.A$.H.18A.H$3.E
16AE$3.CB14ABC$3.BCE12AECB$7.10A$6.H.8A.H$7.2A.H2GH.2A!
p280:

Code: Select all

x = 8, y = 8, rule = 235678/3456/9
.3A.A$7A$8A$7A$.7A$8A$.7A$2.A.3A!
EDIT: a new p11:

Code: Select all

x = 9, y = 9, rule = 235678/3456/9
3.3A$3.BAB$2.5A$AB5ABA$4A.4A$AB5ABA$2.5A$3.BAB$3.3A!

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