Partitioned Cellular Automata

[PHPBB12345]

Code: Select all

@RULE PCA_13

@NAMES
1 N
2 E
3 NE
4 S
5 NS
6 ES
7 NES
8 W
9 NW
10 EW
11 NEW
12 SW
13 NSW
14 ESW
15 NESW
16 Boundary

@TREE

num_states=17
num_neighbors=4
num_nodes=121
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16
1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 16
1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 16
2 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 2
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 16
1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 16
1 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 16
2 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6
1 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 16
1 4 4 4 4 4 4 4 4 12 12 12 12 12 12 12 12 16
1 0 1 0 1 0 1 0 1 8 9 8 9 8 9 8 9 16
2 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10
3 3 3 7 7 3 3 7 7 3 3 7 7 3 3 7 7 11
1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 16
1 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 16
1 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 16
2 13 13 13 13 14 14 14 14 13 13 13 13 14 14 14 14 15
1 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 16
1 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 16
1 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 16
2 17 17 17 17 18 18 18 18 17 17 17 17 18 18 18 18 19
1 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 16
1 6 6 6 6 6 6 6 6 14 14 14 14 14 14 14 14 16
1 4 5 4 5 4 5 4 5 12 13 12 13 12 13 12 13 16
2 21 21 21 21 22 22 22 22 21 21 21 21 22 22 22 22 23
3 16 16 20 20 16 16 20 20 16 16 20 20 16 16 20 20 24
1 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 16
1 8 8 10 10 8 8 10 10 8 8 10 10 8 8 10 10 16
1 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 16
2 26 26 26 26 27 27 27 27 26 26 26 26 27 27 27 27 28
1 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 16
1 5 5 7 7 5 5 7 7 5 5 7 7 5 5 7 7 16
1 4 5 6 7 4 5 6 7 4 5 6 7 4 5 6 7 16
2 30 30 30 30 31 31 31 31 30 30 30 30 31 31 31 31 32
1 0 0 2 2 0 0 2 2 8 8 10 10 8 8 10 10 16
1 4 4 6 6 4 4 6 6 12 12 14 14 12 12 14 14 16
1 0 1 2 3 0 1 2 3 8 9 10 11 8 9 10 11 16
2 34 34 34 34 35 35 35 35 34 34 34 34 35 35 35 35 36
3 29 29 33 33 29 29 33 33 29 29 33 33 29 29 33 33 37
4 12 12 12 12 12 12 12 12 25 25 25 25 25 25 25 25 38
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 16
1 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 16
2 40 40 40 40 41 41 41 41 40 40 40 40 41 41 41 41 42
1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 16
1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16
1 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 16
2 44 44 44 44 45 45 45 45 44 44 44 44 45 45 45 45 46
1 2 2 2 2 2 2 2 2 10 10 10 10 10 10 10 10 16
1 3 3 3 3 3 3 3 3 11 11 11 11 11 11 11 11 16
1 2 3 2 3 2 3 2 3 10 11 10 11 10 11 10 11 16
2 48 48 48 48 49 49 49 49 48 48 48 48 49 49 49 49 50
3 43 43 47 47 43 43 47 47 43 43 47 47 43 43 47 47 51
1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 16
1 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 16
1 12 13 12 13 12 13 12 13 12 13 12 13 12 13 12 13 16
2 53 53 53 53 54 54 54 54 53 53 53 53 54 54 54 54 55
1 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 16
1 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16
1 14 15 14 15 14 15 14 15 14 15 14 15 14 15 14 15 16
2 57 57 57 57 58 58 58 58 57 57 57 57 58 58 58 58 59
1 5 5 5 5 5 5 5 5 13 13 13 13 13 13 13 13 16
1 7 7 7 7 7 7 7 7 15 15 15 15 15 15 15 15 16
1 6 7 6 7 6 7 6 7 14 15 14 15 14 15 14 15 16
2 61 61 61 61 62 62 62 62 61 61 61 61 62 62 62 62 63
3 56 56 60 60 56 56 60 60 56 56 60 60 56 56 60 60 64
1 1 1 3 3 1 1 3 3 1 1 3 3 1 1 3 3 16
1 12 12 14 14 12 12 14 14 12 12 14 14 12 12 14 14 16
1 8 9 10 11 8 9 10 11 8 9 10 11 8 9 10 11 16
2 66 66 66 66 67 67 67 67 66 66 66 66 67 67 67 67 68
1 9 9 11 11 9 9 11 11 9 9 11 11 9 9 11 11 16
1 13 13 15 15 13 13 15 15 13 13 15 15 13 13 15 15 16
1 12 13 14 15 12 13 14 15 12 13 14 15 12 13 14 15 16
2 70 70 70 70 71 71 71 71 70 70 70 70 71 71 71 71 72
1 1 1 3 3 1 1 3 3 9 9 11 11 9 9 11 11 16
1 5 5 7 7 5 5 7 7 13 13 15 15 13 13 15 15 16
1 4 5 6 7 4 5 6 7 12 13 14 15 12 13 14 15 16
2 74 74 74 74 75 75 75 75 74 74 74 74 75 75 75 75 76
3 69 69 73 73 69 69 73 73 69 69 73 73 69 69 73 73 77
4 52 52 52 52 52 52 52 52 65 65 65 65 65 65 65 65 78
1 0 0 0 0 4 4 4 4 0 0 0 0 4 4 4 4 16
1 8 8 8 8 12 12 12 12 8 8 8 8 12 12 12 12 16
1 0 1 0 1 4 5 4 5 0 1 0 1 4 5 4 5 16
2 80 80 80 80 81 81 81 81 80 80 80 80 81 81 81 81 82
1 2 2 2 2 6 6 6 6 2 2 2 2 6 6 6 6 16
1 3 3 3 3 7 7 7 7 3 3 3 3 7 7 7 7 16
1 2 3 2 3 6 7 6 7 2 3 2 3 6 7 6 7 16
2 84 84 84 84 85 85 85 85 84 84 84 84 85 85 85 85 86
1 0 0 0 0 4 4 4 4 8 8 8 8 12 12 12 12 16
1 2 2 2 2 6 6 6 6 10 10 10 10 14 14 14 14 16
1 0 1 0 1 4 5 4 5 8 9 8 9 12 13 12 13 16
2 88 88 88 88 89 89 89 89 88 88 88 88 89 89 89 89 90
3 83 83 87 87 83 83 87 87 83 83 87 87 83 83 87 87 91
1 1 1 1 1 5 5 5 5 1 1 1 1 5 5 5 5 16
1 10 10 10 10 14 14 14 14 10 10 10 10 14 14 14 14 16
1 8 9 8 9 12 13 12 13 8 9 8 9 12 13 12 13 16
2 93 93 93 93 94 94 94 94 93 93 93 93 94 94 94 94 95
1 9 9 9 9 13 13 13 13 9 9 9 9 13 13 13 13 16
1 11 11 11 11 15 15 15 15 11 11 11 11 15 15 15 15 16
1 10 11 10 11 14 15 14 15 10 11 10 11 14 15 14 15 16
2 97 97 97 97 98 98 98 98 97 97 97 97 98 98 98 98 99
1 1 1 1 1 5 5 5 5 9 9 9 9 13 13 13 13 16
1 3 3 3 3 7 7 7 7 11 11 11 11 15 15 15 15 16
1 2 3 2 3 6 7 6 7 10 11 10 11 14 15 14 15 16
2 101 101 101 101 102 102 102 102 101 101 101 101 102 102 102 102 103
3 96 96 100 100 96 96 100 100 96 96 100 100 96 96 100 100 104
1 0 0 2 2 4 4 6 6 0 0 2 2 4 4 6 6 16
1 8 8 10 10 12 12 14 14 8 8 10 10 12 12 14 14 16
1 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 16
2 106 106 106 106 107 107 107 107 106 106 106 106 107 107 107 107 108
1 1 1 3 3 5 5 7 7 1 1 3 3 5 5 7 7 16
1 9 9 11 11 13 13 15 15 9 9 11 11 13 13 15 15 16
1 8 9 10 11 12 13 14 15 8 9 10 11 12 13 14 15 16
2 110 110 110 110 111 111 111 111 110 110 110 110 111 111 111 111 112
1 0 0 2 2 4 4 6 6 8 8 10 10 12 12 14 14 16
1 1 1 3 3 5 5 7 7 9 9 11 11 13 13 15 15 16
1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
2 114 114 114 114 115 115 115 115 114 114 114 114 115 115 115 115 116
3 109 109 113 113 109 109 113 113 109 109 113 113 109 109 113 113 117
4 92 92 92 92 92 92 92 92 105 105 105 105 105 105 105 105 118
5 39 79 39 79 39 79 39 79 39 79 39 79 39 79 39 79 119

@COLORS

# the grey-level intensity is proportional to the number of particles
# in the square
1  120 120 120
2  120 120 120
3  160 160 160
4  120 120 120
5  160 160 160
6  160 160 160
7  220 220 220
8  120 120 120
9  160 160 160
10 160 160 160
11 220 220 220
12 160 160 160
13 220 220 220
14 220 220 220
15 255 255 255
16 200 180   0

S-gate:

Code: Select all

x = 37, y = 6, rule = PCA_13
4.P13.P13.P$P7.P5.P7.P5.P7.P$.D27.D2$5.B13.B$4.P13.P13.P!

bit-loop-to-stream copier:

Code: Select all

x = 132, y = 13, rule = PCA_13
126.P$125.P$127.P2.P$H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.
H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H6.P3$125.P2.P$126.D2.P$
130.P3$125.P$126.2P!

[muzik]

What would this rule be in LifeViewer's notation, then, so it can be added as an alias?

EDIT: also, what do the boundary cells do, exactly, in case it's possible to get them included in the default LifeViewer PCA specification?

[PHPBB12345]

what do the boundary cells do, exactly.

Makes PCA_13 Turing complete.

[muzik]

what do the boundary cells do, exactly.

Makes PCA_13 Turing complete.

Can you clarify (preferably in the LifeViewer thread) so that these can become part of the default PCA specification?

[muzik]

Additionally, I tested a number of patterns on small tori and confirmed that they are all oscillators as expected, e.g. this p153797 oscillator:

Code: Select all

x = 5, y = 5, rule = PCA_5:T9,9
3.A$HOCO$.IOF$.OLOB$.D!

LifeViewer's Identify function as well as manual confirmation after the fact instead shows the period to be 142659:

Code: Select all

x = 5, y = 5, rule = PCA_5:T9,9
3.A$HOCO$.IOF$.OLOB$.D!
[[ STOP 142659 ]]

[muzik]

The ruletable implementation of triangular PCA in ReversibleWorld can be fun to mess with, thought its multistate handling standard of triangular ruletables as well as the lack of any rotation capabilities complicates practical use.

Can a spaceship shuttle exist in this rule? The 3-cell oscillator is fully capable of reflecting the spaceship 180 degrees, however attempting to loop this reaction results in an explosion on collision 3:

Code: Select all

x = 13, y = 14, rule = ETPCA-0347
G5$5.A$6.F$6.BE5$11.CE$12.F!

The following reactions have probably been known for years:

Code: Select all

x = 15, y = 15, rule = ETPCA-0347
CD4$3.CD4$8.A$9.F$9.BE4$13.CD!

Signal transmission wire thing:

Code: Select all

x = 84, y = 85, rule = ETPCA-0347
5$2.CD5$7.CD5$12.CD5$17.CD5$22.CD5$27.CD5$32.CD5$37.CD5$42.CD5$47.CD
5$52.CD5$57.CD5$62.CD4$67.CD4$72.A$73.F$73.BE4$77.CD!

[muzik]

A thought I had: would the HPP gas rule bundled with Golly also be considered as being under the PCA rulespace? Barring states 16 and above, it has 2^4 states corresponding to the possible binary fillings of a partitioned square cell and interacts accordingly.

Code: Select all

x = 256, y = 256, rule = HPP
256P$PBG.NB.ONCFJGFONLCG2N2ECB2LOBOIMO2CJ.MFCKIBCKFICMDHNAKEAGOCAINLA
MIEIGFALKI2CADNFIHBHFOBD.OFMCEKAJBDCGNENFNMBKECBOABAIJBFOABAMLGOIDBLD
ECEIKHMLK.HMLBABDJBDGOA.DJ.FKHL.GFH2KOEOI.AHEMNDH.FDMICOJHID.KHICGM.D
HGBNGCJKI.EBNJKENAOHCGE.IGIKN.A2JAOCMGCNE2OFHDNDOAKEDP$PLAMEGCEJCGL.K
EDBKE2DNKD2ILODHNECKD2GNGCDCHFMLJ2DFGCJMHL2.DEBEJ2GFEIADGKL.OLCNGCNMK
DGEB.HA2.BOKDFMCJCMBA.B.2AKNI2K2LNDAHKMCIJNBC2JNDBFGLCFIDMCOCBDN.ME.L
IKBLIAEC2.GIDLILNGCL2GCA2FMEAMELNFJNONMICAB.JMAMGKJGEFBJIKIEFODBHGAGC
HEBG2KODF.CF.EKNOL.LF2KAOFBGLOKF.EP$P.AJFJHFKD.ACOC2BCGAM2AGIAMOMDIKF
HFLMFAJAOMJDL2JAFIMCKBCHGODLABLDJCFOKCHFMFKEBFEL2OHNCGFIABKICBHDAJEON
OCJAFAICOGEFMJBEODLOKFBDHEGLOHIBKLEOELHFNOK2ABKO.HBN2HCAEGC.IMH.IKOJL
OHKBNIF2HNFLMOGBE.BMHE2NKE2JKMCMIGLKJI.NBLEIN.OACBEH.ONFLO.AIG.E.CHA.
KCDICECJGLDIOJGP$PJG.JB2HEOKCGBONCDBDKIGJF2B2IFNMCOIBL.E.ODEM2IEFOIK.
E.GNMEBNOICDHDIONOKLGBF2NIBCKNB2DOED2H2DFJKIADAFAOKNM.IEL.IOFMOEC2B.D
CI.IOJFHNGIH.COBJ2GONGLHLADC2M2GFDJGK.FCDALGOEI.MIM2NIKJL2FMOGMIN.CDN
BFKOFIFIMELAN2JDM2KE2.LF2GENKMDHNJCNBI.CON2GIE.AM2EB2LAOBAKBGC2BIP$PL
JK.JIOJAIAN.NFMOK2NFLBENMEDGIOJA2MGDMDI.GOFIF2JF2OEADHF.NEOLFGECMBLCN
KCGOACMK.LABMO3JNEDKJCOHBCBMHEDIGIMABDAIGONCLFCH.DJMIOALJI2BIGE.FH.BN
OJIKM.3LHGNJK2OAJGMI2AJLIBGAIN.2LENKHKEAGCG.ECK.2BMNFIA2.FMDGCALBDBHI
ELH2ADMFJAEBAICOIFDIOMBKLF2H2F.BAN.FGFJ2EF2BP$PI.FILBA2NKELB2LDLG2BGE
AM.B.O.N2KEGEFECLEFKMLGNKALCKJE.AEBNMKJ2LOHFKFBDLB2HDEKHJGIKLOLNA.OEJ
ENJHDMKFJO.J2CB.NEFIF.MBLMDHOI.K2GADJFLJOJ.LEBFBIDGCEFGHAEAEKNAMHDK.C
LHOJMKMEGHEACEIFHEMLADNAMGCLAGBHAO.2JIH3OICKJIGM2GLHDLCMFKGEIKHDMDGBO
HLFOAIDNIBGB2A2NGOBNHFDFP$P.IEBIHOCLEG.ILJANHBJADCGIADO.JHMLNGJFGICIE
MJKBKFHCAIFIJLJKH.GDELO.OJGC2DENANBELGBNIOE.BJHALFDB.OHOJDC.EL2HFCMAE
BO2EN.DC.BGJLBLH3LODIBKJH2I2KG.MO.HLAD2C2J2NKOLKLOLOM.A2CMNJFC2BFBHG
2BKECODHAMEIOLMIMDEAH2LJONGBA.JDOMIJFBOJCHLMCNLMFAFKDA.KLJ2GFJCOABDJK
DAOL.P$PGBDBDMJKI2JNMOBFGMGLOKGMFJBDLDMNKLBHKO2J2OHKFL2BK.AOMBMOIBLEM
LHEOJNMFBKJKAD2GAKNDJEBDADEGDNJCM2IFM2COH3INJHONKEGIF2NMLGKGNKFEGKD.M
CNEAEICNMJMOBANA.LFD2.AOLAIJKDNAF.GDHMLBABL.JC2MALGOIM2BMKE.DKLFKFACD
MOKA2EGK2FMGIDIC2NCLKBOECG2ED2NBFIJCBFELFLMG2DKIH2EI2BP$PIAECH.LDCIBK
CEML2AGJGMKJMEIM2KDEAIEMKEMEDAFJKCBKBDGDNICK.F.JKI.OHBGNA.CELEMND2MDN
BOBEAKGDAKBICLFJ.H2BOI.GNENKNDKNCGJFHEMFALOLJB.CBIFEMGJ2G2NLHBN3IJOH.
AHMCLO2FLC2E2JFJNCDJNMNMBLOLDG3NINLIGOHBDGKJDJBICLFKABDJD3LEIMJOHOHOC
GON.NADLDHJFLA2JH2EAILCG2AJDF.FCP$P3IA.A2JLNGENKL.JK.EKFLOGMKJ2GICKCJ
EBG.HEHKLE.GHICNMOACAIBJF.2COEJA.GDNHGJN.EJAOMDBKEKJ.LCEFAKMLOAFKEKLC
G2MFNOBOJIFHOJGHC.LA2BAI.AEHLJDIBEA2O.OMI.M2BCDHEDL.EJOFKOCHDCOHEI.AB
.I2OD2FNOLNK2.F.NKDF.JADE2CMKAJEA2CONHM.MNEJD.OFKBOHDIGENGOJIHKDEBAGJ
IO2CFMKODBEAP$PHOM.AKLHJMLJA.JNJCJHFGEJKLEFHCILHKMDCFGFENHJNHEBKAEJIL
IALFDILIME.AD2OJ2OLBFDHJ.NK.NBNKONM2NIMLHEGEIOH2MHIKIJLOMGBANA2M.IADI
FGCANJHNFBGACIJEHCOAKGOKMAODNIH.ENFI.LO.NCGOKGI2DJC2FK.CBDCG2NIKBAOFL
GDEOKDCFLJMIJKAO.KALMAGNCB2O2CHA.BIMFMDAGLNDBK2NOE.DBOGMI.NFDIP$POAKH
3MG2JKDJFELDOCDGBKMFJ2KMNEKIO3DGAIFL.N.FM.LBHNONGKJHDEKMCJB2GLOGKOJ.M
NKANIGDFDIFJ2BGCBFJB2JCAOHI.GHA.HD.LK2CIFGBLNGFK2F2L2IMLEKIEKGNACO.NH
CK2NDA2BDM.NCLOEG.DEHJBKFO2KBABIHJGKJAI2CDINEFCGHGL3GFCIHLAFCBFKIDAIB
OGBLG2FEINOHMGBOAINIJA2IHJCGME2MG2ODMHFBP$PDNJKHLEKL.INOBLHDJINONB3MD
IDJDEOG2ICFOLDOLB.AG.OFADJIMHGCBOMJIFLEKDMGNKJCNEMNOAI.FL.NJNKJAMOJCG
F2GMC2IJM2K.IK2J.KOBEGEGH.IGINHFEKD.DOALGNKHOKAIACJAOHLCMBDICEHJCMKJM
2CAI.2CMOCBMEIAOEG2LO2DIMB2NDJGILCFKHMBAHB.BGMAFEFKHNK.FBDFHF2NHBG.GC
BAME3M.NKJIOIN2IDCBP$PJ.MLJHBKEH.G2INIKCHJOBHJIFCFEMJDIO2GDCIDMAOEO2.
M.I.DOEJDMIALAO.E2LCINIBNOECNLOMGKA.KIOABEIGLBIEADLOJMIL2CJDLH2A.K.GO
J2BHBAFIJ.OHGBLIFBDOJDOJNHJAKOANFNMHCBKBHBIOHEFJKBDA2B.FG2ACHDOKDGIHN
GHEC.N.AFBLGAFC.BFE2MJ2HMBLAL2OLFANONBDCNLNIEOJC2IEOFBIJLCIEGKCBNOE.N
P$PCAIFBKFDCJM2NLBI2B2MLIN.2B.DE.LHJOHAO2DL2BLCAMKNFHKANGNMKMKAIMHKMI
2CF.OJKJABIJGJIKCJ2GINMLJGMGINKGAKCLAFJC.I2KCLJ2I3CLOKDAKBGL3JHLGOGKN
FHGK2BMHLI.OAGOGKH.A.EJBJKCAF2LBG.JMNGFIBGCFIGC.2HEJFDKIMKNIGCK.HLAG.
FC3AN2DHDNJC.FCM2JHLBAJK2IF2GK.2B3GNLGOEJEGOAMP$P2AEK2C2KLDEMJFOM.FBK
E.OJMJHIJDIGNCJDBIFEC.BELKLBJDJH2KBFAOHI2FMJCEFI3ELMDBKNIOFEBKM3JHGEN
GJ.HGOBGAFJLAKDIBMIGE.BAKAMKIOLHKGOC2GL.HNFDHJDKOFNOJELNI2EBM.MHEK.CD
IOGNHBKBMOG.NOFHJD.CKMGHNAFMJGBJ.KELCMOLO2ID2LBE.JILD2J2.LNOMOKNDOIKA
M2O2EHIF.CH.ENFJDKEKC2.IEP$PFMAIKHFKECHLCHLJOBHKJ2ICFNLENIBOC2GOIFAHJ
BEK.IA2HIJEOJHIHCGEOF2GIAHAHOIBMLEAHJOJMFNL.BDEBNMNA2BK2MIC2JEJEHG2LM
LO.D.DCHIJFK.MDF2GLILNCIEDFAJNIBDLDILBHFHCJFJMJKOHLCAHGCOFDNENICOLGOI
2EO2HMHG2MGBIEKOALOCGEONGEAKFACGKHEDALHKBG2LNL2JBOEMEJG2K2FOAEHNAO2M.
GIH2OFP$PDONIEC2FNE2BAO.HMLHCMLHIE.AMOKBNEIMFLELMCBIMCOAGKMNIEJHFN.KH
BDJAOENOAMAGK2MHECMBECENDHEA.KNE2MIEFJNELH2FJ.OI.2CGEBFGL2IJH.2LKOKDJ
OANIKML2KLHJLI2BEHIAJELJCBDB2I2HDKBAHIN2.LIECMCL.ACGICAKBFALGCL.BOCEN
HKNHF2GM.2HLMGBKDIANLMOMDFB.NFAMAOCKB2LNLJ2HG3HMFIKJ3LP$PB2FOFCN.FIJH
B.EDKL.DEMENK2BMAOAHNKNBGDJOAMIFBMNIFJDMIDHAE2MGEBODMABJFCOJGKMHL2GBA
KOCKI.LBMFGED.CLBGLBE.O2MADMGBLJBL.GCEOAFMEJMGNDCIBFGJCHAGFBKFJFCNMGI
M2FIA.OCOCDHECDHNJIFEAIOEHDNBG.EOIKICLDLOH.CGEOF2GACNC2GJBHCGHAFAILOL
GJHJKIJKNC2FHMKGOL2OBGDKLIBAEJIJEDMP$POEHNBNENIMJIEKLO2DOIEN2KJIABFKN
FG2LHLHAMFBCLKFMELCE2.DKJIGFJEA.L2O.2BC3FOAFAE2FKCBI2LJHOJ.LM2AM.LKNI
EDIOCEOBKNAHD.O2FAOAOCAOKDHCJHFMCFGFEOKG2ADKEMOFINKLAM.ONEOEMHIEHCMDE
HOLDKODLKIDBLAOBOMHCHLI2CEOJ.JAFMBJM.DEFGMLJAODOLDOIK2CFMFLK2H.FCIODB
IFJGJECDGC2IBCDP$PNFMGKGONML2BAJ.2CHI.LIMHLFKLKEF.IF2KMDLEANLKIAMLOIL
IN2GHOIJ.L.CN2MFE.2M.H2KLAJ2.JILOENDALKACNEJAB.A2BA.MD.DAKFLDEJOL2G.H
OLMN2O2D.F2D2OHONJKE.EHIK2MBH2.LF.FENBDEB.GEMBDECACJH2JD.ANFDOBDMGJ.L
GOHNBAMEAEGCMHI2ACAN2KH2BDKCDCFEIO.MENHNM.BHLOBEDMNI.NBL2DNOM.MDCP$PK
EHBJOFCGB.3B.2KDFAHB2MDAGN2FDEBKNL2HLDOEHAKLCE.OMC2LOMFHKDJDNG.NMC.DG
BCFIFK.LAJEJLD2INK.D2.JMGH2IKAJOJGNEBIL.NEA2NMJ2AJIJACJBCNI2NKBMOC.I.
DI2NJIDGDFAK2JMJDJOBACN.MJLN2.AMNIBHLCAGNOMJNDJBI2GMELGMNACHNCBLJ.MJ.
HAI2CAODHAFEOGEHI2JLHAFGIEBIHFEGCBIJBMFKIFD.EP$PCDGLDIEAEMH2CODCFJDJG
CMDLK.HAMAFGDKO2CLHJLDK.OANFNI2C.JNB2JK2BC2OCKCBIN2DBL.HOJKFKLADJCLIA
2BKFNMH.2ANBGNIHDH.CNJC2L.AEOBDC2GNEDB.DNOFHGD3.BLGELEOI2DLAKLJHCHGLF
HAEHE.NDJHIONCINFMHKNBCFHAKDHEHLKIGKOLC.BKIFJANJBHANBFEGKNJN.NFKMOIKL
KDN2AGIBJI2.FDEFHB2AFCBHAP$PDFMCKIAMGFAEFLDMFLJAJOADNBDCANCMJLMJAJOAE
B2NIOKANMLNOLINIFGM.H.LBLCKOM2IDAB.M.AGONBHNABOLGL.HLH.ENBCBICINOB2LC
NDCNGAOICLHCEDCKOFCO2DL2IGJNAGKOG.BFGFDM.ILBGDBKCNMCLMEKDIFBLBFACMAGF
2HLOBLKI2EAOIKGOHDK.CGKIBJKD.FK.IAHJNKMAGBNM.NFJEM2CGKCOGEBKCGL2DLKFC
H2MG.DP$PODKN2GFE2H.M2ICKHFBKOMOGHCO.INHBGCBC2DMOH2NLEFHOGJON2J.E.KOC
FCJDALIHFEOIJ2KJMINF2LBLGEOHBEFCH.HLOAGHO2JE.ABEJMG.DOJF.CE.NA2IOHJLC
.NMCM2F2IOCEB2GKJBLMGN.GBKCNGNFHKECLI2GLJLM.GNFEJLF2D2HDEAOGICGANCKHE
JFDLMKLA2F2AMDNCMILHLAHA2KGLFIM.MHFNMDOL2IL2IBEKCMEFLEIOP$PJDJMBLNIM.
OJCMF2HELD.EILD.L.AEB2MHOIOACDG2EFICLBGNFMLFNJLGBABLBGEMADBLANIEIJELF
DACOILJG.JAM2EABJEFGFBJLGK2.LMDJBCGONAIEHKJGJOJIL.O2MIAGHDFC2NJ.KM.JO
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BMDKGMEJDKEJAMDJKI2GIM3DEIGJIOLIOAI.BIMDFEMLKHAKHDCOJLO2NHOBEKAKAGDKD
AMKGLOFIGIBA.LMHAIKMB.HIC.AJ2LIJLKGJHGJCGOHMDLOGFIMHLOEDB2HOHIMFGCFLA
GI.F.EDC.IGKGEDGID2CHIJKMGAGBKJ.NFMC.O2.KJAFLNMP$PIMOF2NEBEHF.JIO.NAM
BGNEHB3FJKEIFCFGIFNHLOJ.K2.AGA2HIHEJAMGDHBF.FCINM.AONMFGHCAEFLMEO.BMI
MHNOMFHNM.HIANFHDCGDJCLHNEDH.CGLCENCM2GHMGBMEMJBEHCJGDKDCAMGKLEKMI.CL
GILNAGL.BAHGNOGAG.K.DGHCLJC.GD2KIJ2NBHCBGIO2KBLME2OGA2.JHNJOHGB2EF2DI
M2B2KANMGLN2LECDEBND2EAE2CFP$PLAHB2IFG.EN2IHDCDOBOHODKNOACM2OKJBH.OJK
EG2COEGOHO2DABK2M2IMNHLNBAIDBGAKO.2L2GCMGFK.MG2HMFLBOHANCBLJIG.GDGALN
FOLDEMDL2GFIOIMA.ENGJMBEJNEGHBIBFDM.DCGCNMO2N.LI2NOF.JKHOFAN2MNFJCKNG
MKJ.GDHLH2NFBKJ2NOJCNKCKMNAIJ.CNOING2MJKM2OMHOCKEFBGOBMKGDNHEBF.GCNFE
OELNEGFKP$PBMFJKLMLNGKACBO.GDOMJI.GI.CMBI2HJAB3NDCA2NG2KNBKHI2JKCALIE
.CEGBOI2FENHA.FLH.IKEMBON.2LJ.FJCHGHMEOFDKNIAHGHKCNBOG2ECBGCGHABLCAHL
IEBLONOKALGH.NMCBNLKMDGFLEBHNBCM.HLALOK2D.BEFHLIDLD3MALFOMELNGHCLBHGF
KN2MJICBJIC.CGC.DH2CHNFOMCFEKMBOLOCJAG.NLOLFJICEKO2NK.2KP$PAIDOJ2.FNC
IEF.LN2MKODGLECLDHOKIFEKMN.BMLEMKIAGIJEM.LEBDNBHCKA2O2AFOLJ2KEC2IECAB
M2FJHIJIOGDOAHEGMONBDEHE2MLHAE2GBDOCAJMLCMGM2CK.H.FMGDEGBIEJLEGHIEGKD
.BLMJFEDNI.LHOB3EOBFBNKBAFJHBGNO2NAFKOGAHC.ABD.AHBEK2G.KDABKMJ.BMOJG
2KOF.2CJELCBKGED.EGFB.KAONDBGAKHA2D2NP$PGIEFBFGFHKGNGOA.OBCFJFIKHODOJ
DAHOMBAKIHLGLEKDCB2DJAN2J2ICMKLJDMGALEDGKGIAMLGHELFDFGK2BLENKDOKCBCKJ
MDNIMCKCBMOCGEOMFJ2IGM2LIMKOLBHFLGH.A.CEILKGHAOI.M2EHKGANFGFO.FOGOAOK
BNIAOHE2D.AOHEJLBG.H2N2HFEOMC.AK.LEH.MKBKO.K.GMKOHIEFNIOAIF.DF.ECIM2A
HOM.IMDINLGNA.IEFLP$PLNBHJIJIKOAKFCADAONGBH.NBNDGMGIAM2F2BMHFHDN.CEA.
OG.EBFIBDCJDKCNAHOL.BDAHMADFCEILCB2KLC2FOCAEIFKBEHEGCBIJFEBMIKEGFBNAD
OHGJEGJFLNJOJAC.LEIFIJNC2LMBENAFD2L.EJ.DLHLFGJGIABGOJ.NJ2GBE.DANIOMHA
IDBLIG2JABEGCL2FA.JNJGLIKE2I.I3OH2DKODCKCJALG2NJABE3KFHDMOIGDMFHACP$P
LGKMJBJA2EKLGDO2DNCD2HKHJGOAKACMBFNOJF.ENEDNENGHILCHJLICEDBACAKGHDNHD
BAOLHFK.DC.JILMCFLOHG2CMIELMIKNEIEJOGFLFLFLOLOKEHOJCEIAOMJB2GKIDFKL.D
HCGB.DNLNOLCBHOBLHCKAMC.NJFG.FBJOJNOGBD2FMDFJAJA.BN.MFAI2OKIBAFILM2DF
BAGIFLOEL2J2M2C2JG2.M2DIHBIH.KIOBONFC2J.ECLJGFDP$PALGFDICIFL.BCI.GFKI
A2HKEAGLOHED2EFJFIG.LHJ2IECGEOJIJEMKEIEO.OHD.GIKGHINMELA.MEGENBNOLDCO
K3ODHIDGI.LEKOJINFKNKG2EIC2OKCDLKDNEFMCDHGBDLH2EBKJCGFOC2IMOKDLJLJ.AE
NLEBMA2OBNFCOKALHDHME.HMFCHEF2MILHAMCM2CG2DKECD.JLEABJCIOM2FECABJIE.O
FADJKCKE.BDJBAKIHDNOBHJOMHGP$PDFA.LAD.JLAFOGKNFMEHEFE2CBEGLHLIMLOCFNI
K2DIHM2LFCAL.JHGHB.HN2.KMOFOLOCJDGJBLO2E.BH.IMLMJK2EGECOJHA2IDGIGMHAL
CJDAFEGFMDONJA.2MCJNLJIHE.DKJAFDCFKGKJLM.DGOJIMIONBC.JGAKABLINABHJGKA
BOKNCHFKCFC.OMJ2DJAGNLG.LK2C2OLGCOIGKMNMHEAMFKI2G2ONG.D.LEAEILOHEJLE
2KDMLNIOCP$PIBCJDFBHJLCGAB2MFM.ANAMBGLODNGCDCBK.FCLBHOHBEFCIJCMGILM2C
FHKINGOAFN2JDHIM.ONJGDCG2FLJCFHEMEHDCDGCLFBH.COJEBDAC2LOININ.MKADAHM
2NMKBDKOENKGBL2CM.BHN2LAGHDNE.NIK2NEADGN2AELAIACFOBKAGECHEDBFBCICD2OL
AHDIOE2ADHBDA.MJBNC.2BLBLA.KFG.H2MEBDIBOABNHEFB3CLNM.ACDEJMP$PJ.A.BCB
LD2HMDNL2NHKA4FIAF.2FH2CMDNILFIHKD2MOBLBJMEHAOCAMHEHCDA.FG.MNF2OLBIGH
DAOK.GHNJCI.EG2.JNCABKOADIABKNKA.DAKNLJHGBE2ACHG2JEAJL.JCGF2KILAONICA
KLM3DFGIOG3.HOMDAIGNEFJIGMNCJKD2CJOAI.NMCNCINMDAIAHIONE2FEGM.OEAHKJ2O
2HOAIACFCDJCDNGOD.EJG.GCA.MAKFGAIKHDP$PBEHCNJINJEJHIKFMDGFOKHGFD2EALH
KNME2NL2GHJBKGCLCGJBGCGJ.MJFMNMBKHN.CFDLEOIFCAICMILEMDHKCLBA2HLFKCMK
2MAF2COCIAHJCB.L2KFJLCKBMCFEAOAFDAIEIGHMHJI.BLDGNHOFAGLBNBDKM2EGNHAEC
MGCLAGANJNBJ.G2LNBMBAMAEBNDGBHML.O.OIDOEAFAL.JOEJMOI3LJCDIJ.CL.HAIGLE
JFILCMOEJC2EJGKMKP$PFLIH.KFOHLEKFD2FI.EMODKIC.OM2IHJMNEALOAJ2CFOKEJO.
HKHEJ2LM2ABEAKJNAHOGHDMEMG.NDMCIHLO2DOCM.JNKABLOHJHMEOLO2GKJNH2.I.GIN
HC.MJMEBDL.GKMCIJDM.LMKFBJGECKJ2.K2EALHCGF.MOG2MOLCB.C.MIOAEF.B.IENBK
.2BFELD2K2E2IO.FHJ2ECEG2AK2CDGMDNEMKACBEIAD.H2G2BMEALKJAIBA2.I2NFAGP$
PBM2KBHJMLC2KLON2DHMEHCDCNIE.HEODLE2.AFAOB2AGHBAGOM.DNLIFOJNDBEHGODJ
2I3.JCNHOJEBFHEFIJE.FAIEKIC.LBENFOHMNHJK2JCGMKF.K.KDEJ2F2EMLDC.HMOJEG
.ALCEJEIFLMCFODEBKGOIMDK2MNLFLKCLOIDHFGLDH.JGANJAKGEHKCEHOKCICKDADCB
2.HFKMCIFCOMB2NCEFGAMJM2EMHLNHGLJE2KNENIJDAONCJKFP$PCIFAKHE.NHAOFGLFA
HJMGKDLMH2DLBEMA2IG2FAIGFH2MOMBKB.IEOEG2DKFEHDKOBKBEM.IJOCMDGOJLDBCF
2LALOKBJABOHC2FLHB3JE2HIKAHE.G2CJHA.IK.HCIH.DBN.CMC.EIKCE2G.DIOCA.EJN
AKDJIAC.GIOGEIK.BGH2JDJIJ.MI.LBHDNOHIHLGONAOIDKHGINGCKNAJHBIMBCFAHB.A
IMOFHDKAJNLJIBABINML2N2JCEFJHOP$PNBMIJ4K.NLIOGMABDF.DHGBDOMIHM2CM.JD.
OK.LIBFBONCBEIECEHMAEHELJIKMIOCDFEBO2NA.NGEMEGKHK2HBODHCEFEDALCJLGCGN
M2C2JEH.J.JCMDI2MI2MBCFGKMOHI.JMJNB.FKO2LICOLM.ENOMFO.K.AC2LK.CKOLFLG
MEG.OIAMFENLEKGMI.OK.D.LDCFNLC2BKFONMKABLHNJCMLAK.DGC.G.KIEJFGCJLOBOJ
CMF.FJ.NHP$PIOHC.GKCNGAIGLK.HAI.J2EONMEGDIED.AMFHL2DHBGHNLMDCK.FH2A2K
ICOD.HEOJEDICFLNEGOG2ENFCFDLJILOL2.NKCNBA2DJOHGHMD2IHNHAEBJKA2CAI2AMF
DCK2DHL2IG2AHJDKNDH2MCKAMCGDL2DNIAKDNJHNOAOKIEAHBHGKNLFGHJMCHEIBKOG2B
ANFKIBIJLCGEHGCHKBKHNL.DNKAEKIBJHOJAIL2JIGCNAEHK2GJN.DCOIMOP$PKEMH2FL
GMHNOE3G2L.IG2NCILFKJCHK2AJM.OFENENLBNBNINCKLG2F2B.2MLHEHJIADLMHGLEJC
LFHKDG2LM2JDEIFGANJB.OCENJM.ONL2KDNFGBDJAMCBA2BHFMHENCL2.MKGLMCJLEMCJ
DKEMGOCLHCJMKINL.EACMJ.L2C2H.HEHIFDJIGCBGLELDOJLOE.JBDBLEIEKHLNCDA2BM
DN.MLC.CMFJ.KH.FOKBKGIBHFL2BM.ALFIFLANJP$PJNIDENBCGFNFKFCEJCIAL2NHCBE
BMJCMIG.DHNGOHEAKABOBLMH2CB.KGIO.2LDCFCGBLFOC2MOEJA2DFL.ALOLHJ.JLE.DL
NHFGBFNL2OMIJNDMFI2ONCNCJNGJF2OBCBJLA2GMBHOHKGKDNOGALGMGAD.CH2AFHOHID
ON.EGMOBM.DIL2IA2NECO2DIEFKFEMHODGM2IJDNOF.KJCFJIJCOEJDHKNBDLCM.2AGFI
MKDMGLJGKF2BDBNBODIOP$P.EA.CHBHJKGEFBFLC2DMHFHNKNLFBC.MAEIDAEMO.ACKHC
BOELDB2IAKI.2HMLJMIEMHBFNIBACBI.MDFAOJG2K.H2JE2JADKHKIFOADHEG2C2IBM.O
M.EMJKAFKDHCNKNEBHFOLGIG.DNDAKJFJIGFGCJMAFEKGK2H.FENO2JOHKOKLBEH.CMJA
JMJOMED.L3COHJ2HDHCBLO2.KDLAF.JBCGKIBE2I.LOINI2MADM2EI.DEFNCGLNAOBM2A
P$PKMCIAB2H2CLK.MOAB.A.CLIBJI.EHBDENJBKGHFOIAEKMOEMJIFLG2.2OM2AB2IKOF
EBGNKBIFDFEIGADANOJABGDB2CMI2ABFDNJKAFA2IGEDIO2MNKFADFHDN2OLKGMKJC2BI
JAJICKJKMDNG2OKENF2D2MEKEANKLOIJMFALALINGL.OHDCOKCJKAEHACDLBEBHOGC2GI
.ODOAOFNKALFDMIMIJMLHBH3JONIBDONLI.IMDOIFEILJK.MKP$POAOBM.EL.DGLGF2HL
.FMAM2OCAIEIFHGEIDCMO2EMGDAFDLJMEHLIDLIKID2.OBDEGBOCANLDIEAOEJCIAGKNH
E.FLMEMIC.M3CFEFLGIF.J2DHJEMLDNJOAFBAC.JOHOMDHDONCFDBIDGMCKAHMNO2KIBM
ELANFINEOJBI2CBLCGLJBLNOFJI2MH.2JM3AOK2L2O.HBDJ.JB2H2DHGM.BHMOEMEBC.D
LGBGMFOB.D.IOHKAMG2LANIKO2CLP$PHAIELKAJNMGEL.KJCNEG2JIF.OANKDIGHKB2E.
BFO.JLCJGAIGH2BJIK2.FBIJDBODCGHLHLABOHGI.B.CKOKHKOFLJ.IJ.KGJBONFDHDCK
.JNKLG2IKOACHBMEOJNKLJ2HLGNHEICADKOCMALBEMGOGLEKLMJFKHGICMNLNGFDEB.LA
EBCJEJMIDIBMLD.KLJE2BCE.KFEABOH.COEMANFOBOEAEHGNLAGHCFDFEIEIJ.JLFKLMA
N2.BCGEFIP$PKDC.EJEDOKIKO2EKBNCF3M2EADANIJHBMECDCDIHNMLKDLEOKOF.LIAFJ
EIL3B.AHKMKILDKOJ.IA.ICNDMA.NG.AJD2EGBLHNG.CBGIEDEDFMBCBGAOMJBL.KBLAO
MLNAHCOIGFMCGBNINDBCDBJ.GH.ON2.NIOMIMIFJFANFOKGB.2KCDHO2E.LNGJFO.JBNI
.2HAFG.3GHBCDEGAGKHIFIKNAIECJBMIMHKFKED.LDOGL2MGMOMLILBDP$PFNAOHA2LMK
NLMIJ.C.CDEMJ2BF2BAM3BJFN2L2EFDKLGLKDMEBNGMNOKLMNJHCOKJLDHJEFHANEHKOA
.OIKEGACNK.MGL.JHODKJEHMNLEMHA.DLCJLHEBFGFOJMOEOEH2NM2ACNJB2JEABENGJN
MLKAF2KJEAICJH2A2NB.EACNFIOBCG2.DKCHDBLFICOBAEOA.M2CAJDKGMBH2K.EKOJMG
.GCJ.AFGFGHFGFH.JM.HIDGCOKLANCDLKJDKP$PCO.2AOAOBDGIL2M.IJCIDF2D2BMFI.
BLGNAN2M2HOGI3HMIN.A.FGCKDLJODNJDB.IHOJKNAGOJHIMDBACAEKOMNHLCHCEOAK.D
KB2GNMJMHC2HGOGIJDBE2DLO2GBGBMGIKCHKMAKHAJEAENFNKDJHBNEGOJBHGEJLBMECF
G.KJBIHKDKOKO2HANCIKOKABFDFL.LBKBLDAFKJOHDEBH.DH2FCAODM2NLFNKFA2FLI.D
L.MELIJIFNMBKCAOP$256P!

Of course, if it does turn out to be, I doubt there'd be any benefit in finding out its alias for addition to LifeViewer or anything for faster native support since a) the default PCA specification doesn't support the 16+ border and birthing/deletion states and b) if it were to I don't know how said states would generalize to other PCA rules such as PCA_4. (If anyone would be willing to figure this out it'd be appreciated.)

[muzik]

Code: Select all

#CXRLE Gen=-432
x = 45, y = 45, rule = 2PCA4,0,4,8,3,1,10,6,7,2,9,5,11,12,13,14,15
ICICICICICICICICICICICICICICICICICICICIC$LFLFLFLFLFLFMFLFLFLFLFLFLFLF
LFLFLFLFMFLF2$7.D8.D2.D5.D5.D2.2D.D.D2$D37.D2.H.IC$39.H3.LF$21.A.A8.2A
7.H.IC$43.NF$26.A3.A10.H.IC$41.H.LF$6.A30.B5.IC$37.B5.LF$41.H.IC$35.B
7.LF$.D6.D2.A.D.A6.D4.ADL13.IC$29.H13.LF$18.A5.D4.B13.IC$35.B7.LF$17.
D23.H.IC$27.H15.LF$20.D16.B5.IC$29.H13.LF$5.A31.B5.IC$23.H19.LF$2.D38.
H.IC$27.B15.LF$9.D15.H17.IC$41.H.LF$10.A3.D14.B13.IC$15.H27.LF$29.H13.
IC$43.NF$29.B13.IC$15.B27.LF$3.DA12.H25.IC$29.H13.LF$41.H.IC$33.B9.LF
$21.B21.IC$9.B33.LF$9.H33.IC$19.H23.LF$29.H13.IC$39.H3.LF!
[[ ANGLE 135 T 432 PAUSE 0.1 ]]

[muzik]

The following is another PCA rule behaviourally reminiscent of a lattice gas:

Code: Select all

x = 42, y = 42, rule = 2PCA4,0,4,8,12,1,10,9,7,2,6,5,11,3,13,14,15:T40
$.BD4.DJ5.E2.E.L3.OEC4.MKNI2.M2.EB$.EMJHIJLI2H2.EN.B2.OM.L.FK4.N7.2M$
2.CH.2B.FC.FCD2.B2.A2.N2.E2.AH2.HJCFJD.JB$3.F2.H2.OBG.IDI.F2.K2.O2.HG
CB3.DK.O.KAH$5.CI.ANDBILFOBA.MJGJLAEBFMDBEJMBKC3.C$2.IHKJDFOJLENIFDBO
MILHJGJGEF2DHKOAD2BE$2.OJ.2L2FJBFKICFIHMNECFKBACJLCLAKLFHBGF$.MC3.BHK
CDKO.C2LH2AIED2OJLDGABJHEADIJKJF$.KM2.AIKNEGKLOGCLHDMLHNFGMDMBJEIB2J.
IE.J$.HB2.EINHAEINBFLNLHGENMODIFONFJGDNMNIA2.A$.GH.2DFB2.FEOGNK2MINHJ
NADOE.HK2MLHAFJAKI$2.O.AHLEIJNH.FBCD2CIGNICGH2CMOIJ2KHBJM.G$2.LO.IGL2C
GEBIKEILJ.HB.EHLICFO.MEJDGAHGE$3.OHM2D2JEMBIC.2NMFN3ADBIDILHOBMHGB.BM
$5.IHIF2OCA.BFEFLGHBNMDICJKJOFINFLDOGE$.I2.KEGH2O.FBJAF10.CHMCO.LBCAE
MODB$5.ODOHCIHJ.M11.MBONC.DA.AL2.E$.D3.KODFHLIKHAB10.FMOBHCO.OCEFI.I$
2.I.FLNKH2M.GHDL11.INIHNLIENLCMO$.O.C2BDLJOM.HENM10.AJGMJAKMHNG.JO$.F
O.MFOEKEMFGMNI10.KDFODLFNMFH.CE$.A2.JEGBNODMFMOA10.LFNJM2ICEHB.M2I$.2G
.OLNIOBINMNCB10.FCEI.BCLJAL.N$.F2.KNHJCF2ACIEH10.GKHAIBIMHL2J.IN$4.OK
HKMK2ACDOE10.BGFNIFDM2ICLMI$2.IJ.FBAKCFKNBKOCJE.CANIF.BDOAH.FMANK.MOD
$2.C.CKDEB.2EFMN.F.LCHFOAJMHNMI2MAEGJE.H$.2J.L.E2IEK2AOMBKJCHGAJ.KJM2I
2AKEIJMO3.C$.NH.KCANFNKMJNCMHAOA2MJGBGMOM2ENLE.DC2.GL$2.C.GNAHJM.MBDA
FANIBANK.GEDAOKFO2NODNL.OL$.M.KOILFKNHBFGJ2BEI2LAIGLGDNDNBG.ENAC2.A$2.
DK.JKDLICDCIGJKLGHBCLBGI2NJAMBIGEM2C.O$.F.LID.OAEGNDC2.DOAMCICDEJDJGM
DNIJLMGBH.H$.L2FOJFHJ.NOCA2LNIEBCBCDOEBGKHFIJ.ECL.LO$.OJEAO2.LIKENBNA
3DABMGMHFMC2BGNDBEOBCB.E$.2DO.CJMCBNAF2.OEHDHE2HKMCIJNDMC.JFMB3.O$2.E
2.LI.N2.H2.F4.L.OH.HJ3.LH2.D.E2.LN$.M3.O2.2J.OL3.H5.N3.LEDCM.B.J.LMKG
J$2.MF8.E3.A2LDLED.LON.D4.2NE3.J$.2G2.EGN2.A4.L.CJLE.NLK.C.G.L2.DG.B.
GCB!
[[ THEME Mono ]]

For holes in a pure gas environment, however, it behaves less so like a gas. The inverse rule emulated is clearly different.

Here's a fun pattern in the proper lattice gas rule:

Code: Select all

x = 23, y = 40, rule = 2PCA4,0,4,8,12,1,10,9,13,2,6,5,14,3,7,11,15:T40
11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A
$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A$11.A2$11.A$11.A$11.A$11.A$11.
A$11.A$11.A$11.A$11.A$11.A$H10.A10.B2$11.A$11.A$11.A$11.A!

[muzik]

Is it at all possible to calculate the black-white reversals of a given rule? Dead cells in a purely alive background in PCA_4 definitely appear to be emulating a different rule from alive cells on a dead background. Perhaps not a very interesting rule in PCA_4's case, but I can see other rules having more intriguing inverse behaviour.

Code: Select all

x = 3, y = 5, rule = 2PCA4,0,2,4,12,8,5,9,7,1,6,10,11,3,13,14,15:T20
2.B$.A$A.D2$2.H!

Code: Select all

x = 20, y = 20, rule = 2PCA4,0,2,4,12,8,5,9,7,1,6,10,11,3,13,14,15:T20
20O$20O$20O$20O$20O$20O$20O$20O$11OM8O$10ON9O$9ONOK8O$20O$11OG8O$20O$
20O$20O$20O$20O$20O$20O!

[muzik]

Another rule, this time with a period-11407 spaceship:

Code: Select all

x = 5, y = 4, rule = 2PCA4,0,2,4,12,8,10,9,7,1,6,5,11,3,13,14,15
3.B$2.A.A$.L$B!

A different rule with Sierpinski generators and an interesting population graph:

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,7,11,3,13,5,6,1,14,9,10,2,12,4,8,15
D!
[[ AUTOFIT ]]