B2/S2/C20

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Extrementhusiast
Posts: 1966
Joined: June 16th, 2009, 11:24 pm
Location: USA

B2/S2/C20

Post by Extrementhusiast » November 5th, 2010, 11:36 pm

This rule has what I call "clouds", and can even look like Langton's Loops at some points. (In a sense, that's what this is.) This rule has an infinite number of spaceships, and here is my pattern collection so far:

Code: Select all

x = 1077, y = 510, rule = 2/2/20
946.2A23.2A$945.A2B23.2BA$946.2BA21.A2B$945.BDCA21.ACDB$945.CDEC21.CE
DC20.2A21.2A$945.E2FD21.D2FE20.3A19.3A$946.2FE21.E2F20.ACB21.BCA$945.
FHG23.GHF19.BCD2A17.2ADCB$945.GHI2F19.2FIHG19.D2ECB17.BC2ED$945.I2JHG
E.DBA9.ABD.EGH2JI20.2ED2BA13.A2BD2E$946.2JI2G2E2C2A5.2A2C2E2GI2J20.EG
FDC2A13.2ACDFGE$945.JLKIH3EDB2A5.2ABD3EHIKLJ19.FGHF19.FHGF$945.KLMKD
2ECA.A7.A.AC2EDKMLK19.H2IG19.G2IH$862.2A20.2A59.M2NLBCD2A11.2ADCBL2NM
20.2IH19.H2I$861.2AB20.B2A59.2NMACB7.B7.BCAM2N20.IKJ21.JKI$861.B2CA
18.A2CB58.NPO2.3A5.CDC5.3A2.OPN19.JKL2I7.A.A7.2ILKJ$862.2CB18.B2C59.O
PQ2N2A5.DEBED5.2A2NQPO19.L2MKJH.GED.CABAC.DEG.HJK2ML$861.CED20.DEC58.
Q2RPOM.LJI.HFEFEFH.IJL.MOP2RQ20.2ML2J2H2F2DA.A2D2F2H2JL2M$861.DEF2C
16.2CFED59.2RQ2O2M2K2I2G.2G2I2K2M2OQ2R20.MONLK3HGE2DC.C2DEG3HKLNOM$
861.F2GEDB.A10.A.BDE2GF58.R.SQP3MLJ2IHE.EH2IJL3MPQS.R19.NOPNG2HF2ACBA
BABC2AF2HGNPON$862.2GF2D2BA8.A2B2DF2G59.S2.SL2MK2FHGF.E.FGH2FK2MLS2.S
19.P2QOEFG3A2.A.A2.3AGFEO2QP$861.GIHFE3BA8.A3BEFHIG62.JKL3FE2.E.E2.E
3FLKJ24.2QPDFE2A4.F4.2AEFDP2Q$861.HIJHA2B12.2BAHJIH62.IKJ2FD4.J4.D2FJ
KI23.QSR2.2DC4.GHG4.C2D2.RSQ$861.J2KI.2A12.2A.I2KJ63.2IHE4.KLK4.EH2I
24.RS.2Q2DB3.HIFIH3.B2D2Q.SR$862.2KJ18.J2K64.2IG4.LMJML4.G2I27.SRPCOM
L.KHJHK.LMOCPRS$861.KML20.LMK64.H.RQ.PNMNMNP.QR.H29.2R2P2N2LIGI2L2N2P
2R$861.LMN2K16.2KNML66.2S2Q2O.2O2Q2S31.S3POM2LK.K2LMO3PS$861.N2OMLJ.I
GF.E2.E.FGI.JLM2ON67.R2QPM.MP2QR32.O2PN2IKJIJIJK2IN2PO$862.2ON2L2J2H
2F2E2F2H2J2LN2O66.S2NPON.M.NOP2NS30.MNO3I2HI.I2H3IONM$790.2A22.2A45.O
QPNM3JIG2F2E2FGI3JMNPQO62.RS.3NM2.M.M2.M3N.SR27.LNM2IGEG.N.GEG2IMNL$
789.A2B22.2BA44.PQRPI2JH2CED2BDE2CH2JIPRQP62.QSR2NL4.R4.L2NRSQ28.2LKH
FDFOPOFDFHK2L$790.2BA20.A2B45.R2SQGHI3C.C2AC.3CIHGQ2SR63.2QPM4.S.S4.M
P2Q29.2LJ2.EPQNQPE2.J2L$789.BDCA20.ACDB45.2SRFHG2CAB4.BA2CGHFR2S64.2Q
O6.R6.O2Q30.K4.SPRPS4.K$789.CDEC20.CEDC44.S4.2FEBA6.ABE2F4.S64.P15.P
37.QOQ$789.E2FD20.D2FE47.2S2FD10.D2F2S121.S.S$790.2FE20.E2F50.REQON.M
2.M.NOQER119.2QSRQRQRS2Q26.2A25.2A$789.FHG22.GHF50.2R2P2N2M2N2P2R119.
3Q2PQ.Q2P3Q24.A2B25.2BA$789.GHI2F18.2FIHG49.3RQO2N2M2NOQ3R118.2QOMO3.
OMO2Q25.2BA23.A2B$789.I2JHGE.DBA8.ABD.EGH2JI48.Q2RP2KML2JLM2KP2RQ26.
2A16.2A71.SPNLN3.NLNPS24.BDC25.CDB$790.2JI2G2E2C2A4.2A2C2E2GI2J49.OPQ
3K.K2IK.3KQPO25.2AB16.B2A70.R2.M5.M2.R24.CDE2B21.2BEDC$789.JLKIH3EDB
2A4.2ABD3EHIKLJ48.NPO2KIJF2HFJI2KOPN25.B2CA14.A2CB69.S13.S23.E2FDCA
19.ACD2FE$789.KLMKD2ECA.A6.A.AC2EDKMLK49.2NMJIHD2GDHIJM2N27.2CB14.B2C
109.2FE2C2A15.2A2CE2F$789.M2NLBCD2A4.2A4.2ADCBL2NM49.2NL2.EF2DFE2.L2N
26.CED16.DEC107.FHGED3A15.3ADEGHF$790.2NMACB6.2B6.BCAM2N51.M5.2D5.M
27.DEF2C12.2CFED36.2A24.2A43.GHIG.2A17.2A.GIHG$789.NPO2.3A5.2C5.3A2.O
PN91.F2GEDB.A6.A.BDE2GF35.A2B24.2BA42.I2JH23.H2JI$789.OPQ2N2A6.2D6.2A
2NQPO92.2GF2D2BA4.A2B2DF2G37.2BA22.A2B44.2JI23.I2J$789.Q2RPOM.LJI.HF
2EFH.IJL.MOP2RQ52.2S2.2R2.2S29.GIHFE3BA4.A3BEFHIG35.BDC24.CDB42.JLK
25.KLJ$790.2RQ2O2M2K2IF2GF2I2K2M2OQ2R52.3S.S2QS.3S28.HIJHA2B8.2BAHJIH
35.CDE2B20.2BEDC42.KLM2J21.2JMLK$789.R.SQP3MLJ2IH2DH2IJL3MPQS.R51.2SQ
RN2PNRQ2S28.J2KI.2A8.2A.I2KJ35.E2FDCA18.ACD2FE42.M2NLKI.HFE.DBA.A.ABD
.EFH.IKL2NM$789.S2.SL2MK2FH.E2HE.H2FK2MLS2.S52.RQPL2OLPQR30.2KJ6.2A6.
J2K37.2FE2C2A14.2A2CE2F44.2NM2K2I2G2E2CA.A2C2E2G2I2KM2N$793.JKL3F.2F
2I2F.3FLKJ58.MN2LNM31.KML7.2B7.LMK35.FHGED3A14.3ADEGHF42.NPOML3IHF2ED
BA.ABD2EFH3ILMOPN$793.IKJ2F2.2F2J2F2.2FJKI60.2L33.LMN2K4.E2CE4.2KNML
35.GHIG.2A16.2A.GIHG42.OPQOH2IG2BDCB.3A.BCD2BG2IHOQPO$794.2IHE2.2E2K
2E2.EH2I96.N2OMLJ.IGF2DFGI.JLM2ON35.I2JH22.H2JI42.Q2RPFGH3BA9.A3BHGFP
2RQ$794.2IG3.2D2L2D3.G2I97.2ON2L2J2H2G2H2J2LN2O37.2JI22.I2J44.2RQEGF
2B13.2BFGEQ2R$795.H.RQ.PN2MNP.QR.H97.OQPNM3JI4GI3JMNPQO35.JLK24.KLJ
42.R.S2.2EDA6.G6.AD2E2.S.R$797.2S2QN2ON2Q2S99.PQRPI2JH2G2.2GH2JIPRQP
35.KLM2J20.2JMLK42.S2.2R2EC6.H.H6.C2E2R2.S$798.R2QP2LP2QR100.R2SQGHIF
EF2HFEFIHGQ2SR35.M2NLKI.HFE.DB4ABD.EFH.IKL2NM46.SQDPNM.LJIGFGIJL.MNPD
QS$796.S2NP.M2PM.P2NS99.2SRFHG2D.2I.2DGHFR2S37.2NM2K2I2G2E2C2B2C2E2G
2I2KM2N47.2S2Q2O2M2KIEI2K2M2O2Q2S$793.RS.3N.2N2Q2N.3N.SR95.S4.2FE2.2J
2.E2F4.S35.NPOML3IHF2ED4BD2EFH3ILMOPN47.3QPN2MLJIFIJL2MNP3Q$793.QSR2N
2.2N2R2N2.2NRSQ98.2S2FD.M2KM.D2F2S38.OPQOH2IG2BDCAB2.BACD2BG2IHOQPO
46.P2QO2JLKJFGIGFJKL2JO2QP$794.2QPM2.2M2S2M2.MP2Q101.REQON2LNOQER40.Q
2RPFGH3BA.2A2C2A.A3BHGFP2RQ46.NOP3JI2.EG.GE2.I3JPON$794.2QO3.2L2.2L3.
O2Q53.2A26.2A19.2R2P2O2P2R42.2RQEGF2B5.2D5.2BFGEQ2R47.MON2JH3.DFDFD3.
H2JNOM$795.P14.P53.2AB26.B2A17.3RQ4OQ3R40.R.S2.2EDA5.2E5.AD2E2.S.R47.
2MLI5.EOE5.IL2M$864.B2CA24.A2CB16.Q2RP2O2.2OP2RQ39.S2.2R2EC5.H2FH5.C
2E2R2.S47.2MK6.PDP6.K2M$865.2CB24.B2C17.OPQNMN2PNMNQPO43.SQDPNM.LJI2G
IJL.MNPDQS52.L5.RQONOQR5.L$864.CED26.DEC16.NPO2L.2Q.2LOPN43.2S2Q2O2M
2K2J2K2M2O2Q2S58.2SQMQ2S$864.DEF2C22.2CFED17.2NM2.2R2.M2N45.3QPN2ML4J
L2MNP3Q60.RQNQR$864.F2GEDB.A16.A.BDE2GF17.2NL2.2S2.L2N44.P2QO2JLKGJ2.
JGKL2JO2QP54.2R.SRNOQONRS.2R$865.2GF2D2BA14.A2B2DF2G19.M8.M45.NOP3JI.
2H2K2H.I3JPON53.3RQ2.MO.OM2.Q3R$864.GIHFE3BA14.A3BEFHIG73.MON2JH2G2H
2L2H2GH2JNOM53.2RP3.LNLNL3.P2R$864.HIJHA2B18.2BAHJIH74.2MLIF2GEG2MGE
2GFIL2M55.Q5.M.M5.Q$864.J2KI.2A18.2A.I2KJ74.2MK.D2EFP2NPF2ED.K2M54.S
7.L7.S$865.2KJ24.J2K76.L3.E.RQ2OQR.E3.L$864.KML26.LMK81.2S2R2S$864.LM
N2K22.2KNML82.4R$864.N2OMLJ.IGF.ECB4.BCE.FGI.JLM2ON77.2R.SOR2.ROS.2R$
865.2ON2L2J2H2F2D4B2D2F2H2J2LN2O77.3RQ.2P2S2P.Q3R$864.OQPNM3JIG2FEC4B
CE2FGI3JMNPQO76.2RP2O2P2.2P2OP2R$864.PQRPI2JH2CEDC2A2.2ACDE2CH2JIPRQP
77.QN2OMO2.OM2ONQ$864.R2SQGHI3CB10.B3CIHGQ2SR76.S.L2MN4.N2ML.S$865.2S
RFHG2CA12.A2CGHFR2S80.M8.M$864.S4.2FEB14.BE2F4.S$867.2S2FD16.D2F2S$
869.REQON.MKJ4.JKM.NOQER$870.2R2P2N2L4J2L2N2P2R$834.2A33.3RQO2NMK4JKM
2NOQ3R58.2A13.2A27.2A12.2A23.2A17.2A$833.A2B32.Q2RP2KMLK2I2.2IKLM2KP
2RQ56.2AB13.B2A25.2AB12.B2A21.A2B17.2BA$834.2BA31.OPQ3KJ2.2H2.2H2.J3K
QPO56.B2CA11.A2CB25.B2CA10.A2CB22.2BA15.A2B$833.BDC32.NPO2KI3.2G2.2G
3.I2KOPN57.2CB11.B2C27.2CBA8.AB2C22.BDCA15.ACDB$833.CDE2B9.2A20.2NMJ
4.2F2.2F4.JM2N57.CED13.DEC25.CEDBA8.ABDEC21.CDEC15.CEDC$833.E2FDCA8.
2BA19.2NL5.2E2.2E5.L2N57.DEF2C9.2CFED25.DEFD10.DFED21.E2FD15.D2FE$
834.2FE2C2A5.A2B21.M5.SRD2.DRS5.M58.F2GEDB.A3.A.BDE2GF25.F2GE10.E2GF
22.2FE15.E2F$833.FHGED3A6.CDB28.4R67.2GF2D2BA.A2B2DF2G27.2GF10.F2G22.
FHG17.GHF$833.GHIG.2A5.2BEDC27.S4RS65.GIHFE3BA.A3BEFHIG25.GIH5.2A5.HI
G21.GHI2F13.2FIHG$833.I2JH7.ACD2FE22.2S2.S2Q2.2QS2.2S60.HIJHA2B5.2BAH
JIH25.HIJ2G3.2B3.2GJIH21.I2JHGE.DBA.A.ABD.EGH2JI$834.2JI5.2A2CE2F22.
3SR2.2P2.2P2.R3S59.J2KI.2A5.2A.I2KJ25.J2KIHF.E2CE.FHI2KJ22.2JI2G2E2CA
.A2C2E2GI2J$833.JLK6.3ADEGHF21.2SQ3.2O2.2O3.Q2S60.2KJ5.D5.J2K27.2KJ2H
2F2D2F2HJ2K22.JLKIH3EDBA.ABD3EHIKLJ$665.2A3.2A161.KLM2J5.2A.GIHG22.R
4.2N2.2N4.R60.KML5.EFE5.LMK25.KMLJI3F2D3FIJLMK21.KLMKD2ECA.3A.AC2EDKM
LK$665.BA3.AB75.2A7.2A75.M2NLKI.HFE3.H2JI27.2M2.2M65.LMN2K2.FGDGF2.2K
NML25.LMNLE8FELNML21.M2NLBCD2A5.2ADCBL2NM$664.A2C3B2CA74.BA7.AB76.2NM
2K2I2GFD.I2J29.L2.L66.N2OMLJ.IFHFI.JLM2ON25.N2OMDE2.2G2.EDM2ON22.2NMA
CB9.BCAM2N$664.BCDA.ADCB73.ABCA5.ACBA74.NPOML3IHG2EC.KLJ99.2ON2L2JGEG
2J2LN2O27.2ON4.2H4.N2O22.NPO2.3A3.G3.3A2.OPN$664.D2ECDC2ED73.C2DB.3A.
B2DC74.OPQOH2I3GFD2JMLK98.OQPNM3JIEI3JMNPQO25.OQP5.2I5.PQO21.OPQ2N2A
3.H.H3.2A2NQPO$665.3EB3E75.2DC2B.2BC2D75.Q2RPFGH2GH.IKL2NM98.PQRPI2JH
FHFH2JIPRQP25.PQR2O3.2J3.2ORQP21.Q2RPOM.LJIGFGIJL.MOP2RQ$664.EG2E.2EG
E73.DFEA.3B.AEFD35.2A6.2A30.2RQE2G.G2I2KM2N99.R2SQGHIGE.EGIHGQ2SR25.R
2SQPN.M2KM.NPQ2SR22.2RQ2O2M2KI.I2K2M2OQ2R$664.F2H3G2HF73.EFGEAD.DAEGF
E35.3A4.3A29.R.S2.FDFH3ILMOPN99.2SRFHGDELEDGHFR2S27.2SR2P2N2L2N2PR2S
22.R.SQP3MLJIGIJL3MPQS.R$664.GHIFEFIHG73.G2HFCECECF2HG34.ACB6.BCA28.S
2.2R3DFG2IHOQPO98.S4.3FMNM3F4.S25.S2.RQ3N2L3NQR2.S21.S2.SL2MKEFHIHFEK
2MLS2.S$664.I2JHIH2JI26.2A8.2A36.2HG2F.2FG2H35.BCD2A2.2ADCB32.SQDPNMH
2GP2RQ101.2S2FNOLON2F2S32.M8NM29.JKLDG.HEH.GDLKJ$665.3JG3J27.BA8.AB
35.HJIED3FDEIJH34.D2ECB2.BC2ED32.2S2Q2ONLFQ2R57.2A4.2A39.REQNPNQER34.
LM2.2O2.ML29.IKJEDGFGFGDEJKI$664.JL2J.2JLJ25.ABCA6.ACBA34.IJKIEH.HEIK
JI35.2ED4BD2E34.3QPO2MK.S.R56.BA4.AB40.2ROMO2R39.2P34.2IHF.FOF.FH2I$
664.K2M3L2MK25.C2DBA4.AB2DC34.K2LJGIGIGJ2LK34.EGFDC2BCDFGE32.P2Q3ONL
2R2.S55.ABC4.CBA38.3RQMQ3R38.2Q34.2IG.EPEPE.G2I$664.LMNKJKNML26.2DC2A
2.2AC2D36.2LK2J.2JK2L35.FGHF.2A.FHGF32.NOP2OP.QS59.C2DB2AB2DC37.Q2RPN
PNP2RQ37.2R35.H.RQONOQR.H$664.N2OMNM2ON25.DFECBA2.ABCEFD34.LNMIH3JHIM
NL34.H2IG4.G2IH32.M2O.O2Q2S60.3D2C3D38.OPQOM.MOQPO37.2S37.2SQ.Q2S$
665.3OL3O26.EFGE6.EGFE34.MNOMIL.LIMONM35.2IH4.H2I34.NLNP3Q60.DF2D2B2D
FD37.NPOLM.MLOPN77.RQOQR$664.OQ2O.2OQO25.G2HF2.2A2.F2HG34.O2PNKMKMKN
2PO34.IKJ6.JKI33.3LNO2QP59.EFG4DGFE38.3N3.3N76.SMNPQPNMS$664.P2R3Q2RP
26.2HG2.2B2.G2H36.2PO2N.2NO2P35.JKL2I2.2ILKJ34.L3.P2O59.G2HF2EF2HG38.
2N5.2N73.RS.LO.PMP.OL.SR$664.QRSPOPSRQ25.HJI3.2C3.IJH34.PRQML3NLMQRP
34.L2MKJ2.JK2ML40.N60.3H2G3H40.M5.M74.QSRMLONONOLMRSQ$664.S2.RSR2.S
25.IJK2HF2DF2HKJI34.QRSQMP.PMQSRQ35.2ML4JL2M41.S59.HJ2H2F2HJH121.2QPN
.N.N.NP2Q$668.Q29.K2LJIG2EGIJ2LK34.S2.ROQOQOR2.S34.MONLK2JKLNOM100.IJ
K4HKJI121.2QO.M.M.M.O2Q$699.2LK2I2H2IK2L38.S2R.2RS37.NOPN.2I.NPON100.
K2LJ2IJ2LK122.P9.P$698.LNMKJ4HJKMNL37.QP3RPQ37.P2QO.2H.O2QP101.3L2K3L
$698.MNOM2G2.2GMONM38.Q3.Q39.2QP.2G.P2Q101.LN2L2J2LNL$698.O2PN2F2I2FN
2PO38.S.S.S38.QSR2.2F2.RSQ100.MNO4LONM$699.2PO2E2J2EO2P82.RS.2Q2E2Q.S
R100.O2PN2MN2PO$698.PRQ.2D2K2D.QRP84.SR2DRS68.2A34.3P2O3P$698.QRS2PN
2LN2PSRQ85.4R68.2AB3.2A28.PR2P2N2PRP$698.S2.RQO2MOQR2.S85.S2RS68.B2C
3.B2A27.QRS4PSRQ$701.S2Q2P2QS89.2Q70.3C2.2CB27.S2.R2QR2.S$701.SR4PRS
89.2P69.CE2C.3C32.2S$702.2O2.2O90.2O69.DEFBA2CEC31.2R$702.2N2Q2N90.2N
69.F2G.ABFED$702.2M2R2M90.2M70.3G2.2GF$702.2L2S2L90.2L69.GI2G.3G$869.
HIJFE2GIG$869.J2KDEFJIH$870.3K2.2KJ$869.KM2K.3K$869.LMNJI2KMK$869.N2O
HIJNML$870.3O2.2ON57.2A9.2A21.2A10.2A$869.OQ2O.3O58.BA9.AB20.A2B10.2B
A$869.PQRNM2OQO56.ABCA7.ACBA20.2BA8.A2B21.2A11.2A$869.R2SLMNRQP56.C2D
BA5.AB2DC19.BDC10.CDB19.2AB11.B2A$870.3S2.2SR57.2DC2A3.2AC2D20.CDE2B
6.2BEDC19.B2CA9.A2CB$869.S.2S.3S57.DFECBA3.ABCEFD19.E2FDCA4.ACD2FE20.
2CB9.B2C$872.RQ2S.S56.EFGE7.EGFE20.2FE2C4A2CE2F20.CED11.DEC$872.PQR
59.G2HF7.F2HG19.FHGED6ADEGHF19.DEF2C7.2CFED$935.2HG7.G2H20.GHIG.2A2.
2A.GIHG19.F2GEDB.3A.BDE2GF$934.HJI4.E4.IJH19.I2JH8.H2JI20.2GF2D2B.2B
2DF2G$934.IJK2H.F.F.2HKJI20.2JI8.I2J20.GIHFE3B.3BEFHIG$934.K2LJIGEDEG
IJ2LK19.JLK10.KLJ19.HIJHA2B.A.2BAHJIH$935.2LK2IG.G2IK2L20.KLM2J6.2JML
K19.J2KI.2A3.2A.I2KJ$934.LNMKJ2G.2GJKMNL19.M2NLKI4.IKL2NM20.2KJ9.J2K$
680.2A252.MNOMF5GFMONM20.2NM2K4I2KM2N20.KML5.G5.LMK$679.2AB4.2A43.2A
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I Like My Heisenburps! (and others)

User avatar
12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

Re: B2/S2/C20

Post by 12Glider » March 26th, 2011, 7:11 pm

This rule appears very similar to the cooties prototype on MCell 4.2
Example

Code: Select all

x = 2, y = 2, rule = 2/2/20
2A$.A!
Image

Why hasn't a glider exploded yet?

137ben
Posts: 343
Joined: June 18th, 2010, 8:18 pm

Re: B2/S2/C20

Post by 137ben » March 27th, 2011, 11:15 am

The thing about generations rules is that adding a huge number of states really doesn't change the behavior beyond a certain point. For example, 2/2/10 behaves almost identically to 2/2/20. The point at which adding more states stops helping varies from rule to rule, but for almost all generations rules going beyond 15 states is redundant.

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