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Range-2 von Neumann isotropic non-totalistic rulespace

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Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » February 9th, 2019, 12:26 pm

A lot of people here are already familiar with the common range-1 Moore isotropic non-totalistic rulespace. Many interesting patterns are housed within this rulespace, but one runs into a problem when trying to generalise itto larger neighbourhoods; the amount of transitions just grows entirely too big (even range-2 Moore would require 2105872 different transitions).

A more reasonable approach would be to use the 12-cell range-2 von Neumann neighbourhood instead;
x = 5, y = 5, rule = B/S012345678
2bo$b3o$2ob2o$b3o$2bo!


As it turns out, there exists a considerably more manageable 618 different unique transitions within this neighbourhood. I have sorted these transitions into a table, similar to that seen on the LifeWiki for the 51 range-1 Moore transitions. Here's the first prototype (if anyone's willing to improve upon this notation, or offer an even better and easier to understand one, then please do!):

x = 83, y = 809, rule = bs012345678History
8.D71.C$7.3D69.3C$6.2DF2D67.2CF2C$7.3D69.3C$8.D71.C2$2.3F9.D5.D5.D5.D
5.D5.D5.C5.C5.C5.C5.C$4.F8.3D3.3D3.3D3.3D3.C2D3.2CD3.D2C3.3C3.3C3.3C
3.3C$2.3F7.2DF2D.2DF2D.DCF2D.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.CDF2C.2CF
2C.2CF2C$2.F.F8.3D3.2CD3.2CD3.3C3.3C3.3C3.3D3.3D3.2DC3.2DC3.3C$2.3F9.
C5.D5.D5.D5.D5.D5.C5.C5.C5.C5.D2$14.D5.D5.D5.D5.D5.C5.C5.C5.C5.C5.C$
2.3F8.3D3.3D3.C2D3.CDC3.CDC3.CDC3.DCD3.DCD3.D2C3.3C3.3C$2.F9.2DF2D.2D
F2D.2DF2D.2DF2D.2DF2D.2DF2D.2CF2C.2CF2C.2CF2C.2CF2C.2CF2C$2.3F8.2DC3.
CDC3.CDC3.CDC3.CDC3.CDC3.DCD3.DCD3.DCD3.DCD3.2CD$14.D5.D5.D5.D5.C5.C
5.D5.C5.C5.C5.C2$2.3F9.D5.D5.D5.D5.D5.D5.C5.C5.C5.C5.C$2.F.F8.3D3.3D
3.DCD3.DCD3.DCD3.2CD3.CDC3.CDC3.CDC3.3C3.3C$2.3F7.2DF2D.DCF2D.DCF2D.D
CFCD.DCFCD.DCFCD.CDFDC.CDFDC.CDF2C.CDF2C.2CF2C$2.F10.DCD3.DCD3.DCD3.D
CD3.D2C3.D2C3.C2D3.CDC3.CDC3.CDC3.CDC$2.3F9.D5.D5.D5.D5.D5.D5.C5.C5.C
5.C5.C2$3.F16.D5.D5.D5.D5.D5.C5.C5.C5.C$19.DCD3.3D3.3D3.2CD3.3C3.2DC
3.DCD3.3C3.CDC$3.F14.2DF2D.2DF2D.DCFCD.DCF2D.2DF2D.CDF2C.CDFDC.2CF2C.
2CF2C$3.F15.DCD3.3C3.CDC3.2CD3.3C3.2DC3.3C3.3D3.CDC$3.F16.D5.D5.D5.D
5.D5.C5.C5.C5.C2$20.D5.D5.D5.D5.C5.C5.C5.C5.C$2.F.F14.C2D3.DCD3.CDC3.
CDC3.DCD3.DCD3.DCD3.CDC3.D2C$2.2F14.2DF2D.DCF2D.DCF2D.DCF2D.2DF2C.CDF
2C.CDF2C.CDF2C.2CF2C$2.F.F14.DCD3.2DC3.DCD3.CDC3.DCD3.DCD3.CDC3.2CD3.
CDC$20.D5.D5.D5.D5.C5.C5.C5.C5.C2$2.3F15.D5.D5.D5.D5.D5.C5.C5.C5.C$2.
F.F14.C2D3.3D3.C2D3.C2D3.2CD3.D2C3.D2C3.3C3.D2C$2.F.F13.2DF2D.DCF2D.D
CF2D.DCFCD.DCFCD.CDFDC.CDF2C.CDF2C.2CF2C$2.F.F14.2DC3.CDC3.CDC3.CDC3.
CDC3.DCD3.DCD3.DCD3.2CD$2.F.F15.D5.D5.D5.D5.D5.C5.C5.C5.C2$4.F15.C5.D
5.D5.D5.C5.C5.C5.C5.D$19.3D3.2DC3.2DC3.2DC3.DCD3.2CD3.2CD3.2CD3.3C$4.
F13.CDF2D.2DFCD.DCFCD.DCFCD.CDFDC.CDFDC.CDFDC.2CFDC.DCF2C$4.F14.3D3.D
CD3.DCD3.2CD3.2DC3.2DC3.CDC3.CDC3.3C$2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C
2$2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C$2.F.F14.3D3.2CD3.2CD3.2CD3.3D3.2DC
3.2DC3.2DC3.3C$2.3F13.2DF2D.2DF2D.DCF2D.DCF2D.CDF2C.CDF2C.CDF2C.2CF2C
.2CF2C$4.F14.2DC3.2DC3.2DC3.CDC3.DCD3.DCD3.2CD3.2CD3.2CD$4.F15.C5.D5.
D5.D5.C5.C5.C5.C5.D2$2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C$2.F16.3D3.D2C3.
D2C3.2CD3.3D3.2DC3.C2D3.C2D3.3C$2.F15.2DFCD.2DF2D.2DFCD.DCFCD.CDFDC.C
DFDC.2CFDC.2CF2C.2CFDC$2.F16.3D3.DCD3.DCD3.C2D3.D2C3.D2C3.CDC3.CDC3.
3C$2.F17.C5.D5.D5.D5.C5.C5.C5.C5.D2$2.F.F15.D5.D5.D5.D5.D5.C5.C5.C5.C
$2.F.F14.2DC3.CDC3.CDC3.CDC3.CDC3.DCD3.DCD3.DCD3.2CD$2.3F13.CDF2D.2DF
2D.2DF2D.DCFCD.DCFCD.CDFDC.2CF2C.2CF2C.DCF2C$4.F14.3D3.DCD3.2CD3.DCD
3.DCD3.CDC3.2DC3.CDC3.3C$2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C2$2.F17.C5.D
5.D5.D5.C5.C5.C5.C5.D$2.F16.3D3.3D3.3C3.3C3.3C3.3D3.3D3.3C3.3C$2.3F
13.2DF2D.DCFCD.2DF2D.2DF2D.2DF2D.2CF2C.2CF2C.CDFDC.2CF2C$2.F16.3D3.3D
3.DCD3.DCD3.DCD3.CDC3.CDC3.3C3.3C$2.3F15.C5.C5.D5.C5.C5.D5.C5.D5.D2$
20.C5.D5.D5.D5.D5.C5.C5.C5.D$.F.F.F13.3D3.3D3.C2D3.CDC3.CDC3.DCD3.D2C
3.3C3.3C$.F.F.F12.2DF2D.CDFDC.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.DCFCD.2CF
2C$.5F13.DCD3.DCD3.D2C3.D2C3.3C3.C2D3.C2D3.CDC3.CDC$20.D5.D5.D5.D5.D
5.C5.C5.C5.C2$2.2F16.D5.D5.D5.D5.C5.C5.C5.C5.C$4.F14.3D3.C2D3.2CD3.3D
3.2CD3.3C3.2DC3.D2C3.3C$3.F14.2DF2D.2DF2D.2DF2D.2CF2D.2DF2D.2DF2C.2CF
2C.2CF2C.2CF2C$2.F16.DCD3.C2D3.D2C3.3C3.D2C3.3D3.C2D3.D2C3.CDC$3.2F
15.C5.C5.D5.D5.C5.C5.C5.D5.D2$26.C5.D5.D5.C5.C5.C5.D$.5F19.3D3.CDC3.
3C3.3C3.3D3.DCD3.3C$.F.F.F18.CDFDC.CDFDC.CDFDC.CDFDC.DCFCD.DCFCD.DCFC
D$.F.F.F19.3D3.3D3.3D3.3D3.3C3.3C3.3C$26.D5.D5.D5.D5.C5.C5.C2$26.D5.D
5.C5.D5.D5.C5.C$2.3F20.3D3.DCD3.DCD3.DCD3.CDC3.CDC3.3C$2.F.F19.2DF2D.
2DF2D.2DF2D.DCFCD.2CF2C.2CF2C.2CF2C$2.3F20.CDC3.CDC3.CDC3.CDC3.DCD3.D
CD3.DCD$26.C5.C5.C5.C5.D5.D5.D2$2.3F21.D5.D5.D5.C5.C5.C5.C$2.F.F20.3D
3.3D3.DCD3.C2D3.CDC3.3C3.3C$2.2F20.2DFCD.2DFCD.2DFCD.2CFDC.2CFDC.2CFD
C.2CFDC$2.F22.DCD3.D2C3.D2C3.C2D3.C2D3.C2D3.CDC$2.F23.C5.C5.C5.D5.D5.
D5.D2$2.F23.C5.C5.C5.C5.D5.D5.D$2.F22.3D3.3D3.DCD3.D2C3.CDC3.3C3.3C$
2.3F19.2DF2D.2DFCD.2DFCD.2DFCD.2CFDC.2CFDC.2CF2C$2.F.F20.D2C3.D2C3.D
2C3.D2C3.C2D3.C2D3.C2D$2.3F21.D5.D5.D5.D5.C5.C5.C2$4.F21.C5.C5.C5.C5.
D5.D5.D$4.F20.3D3.3D3.3D3.DCD3.3C3.3C3.3C$2.3F19.DCF2D.DCF2D.DCF2D.DC
F2D.CDF2C.CDF2C.CDF2C$2.F.F20.DCD3.DCD3.2CD3.2CD3.2DC3.CDC3.CDC$2.3F
21.D5.C5.C5.C5.D5.D5.C2$3.2F21.D5.D5.D5.C5.C5.C5.C$3.F21.2DC3.2DC3.D
2C3.D2C3.C2D3.2CD3.2CD$2.3F19.2DF2D.2DF2D.2DF2D.2DF2D.2CF2C.2CF2C.2CF
2C$3.F21.DCD3.D2C3.D2C3.D2C3.C2D3.C2D3.CDC$2.2F22.C5.C5.C5.C5.D5.D5.D
2$2.3F21.C5.C5.C5.C5.D5.D5.D$2.F.F20.C2D3.C2D3.C2D3.CDC3.D2C3.D2C3.D
2C$2.3F19.2DF2D.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.2CF2C$4.F20.DCD3.DCD3.D
CD3.DCD3.CDC3.CDC3.CDC$2.3F21.D5.D5.C5.C5.D5.C5.C2$2.F23.D5.D5.C5.C5.
D5.C5.C$2.F22.2DC3.D2C3.D2C3.D2C3.C2D3.C2D3.2CD$2.3F19.2DFDC.2DFDC.2D
FDC.2DFDC.2CFCD.2CFCD.2CFCD$2.F.F20.DCD3.DCD3.DCD3.DCD3.CDC3.CDC3.CDC
$2.F.F21.D5.D5.D5.C5.C5.C5.C2$2.F23.D5.C5.C5.D5.D5.D5.C$2.F22.DCD3.DC
D3.DCD3.CDC3.CDC3.CDC3.CDC$2.F21.2DF2D.2DF2D.2DF2D.2CFCD.2CF2C.2CF2C.
2CF2C$2.F.F20.DCD3.DCD3.D2C3.C2D3.C2D3.CDC3.CDC$2.3F21.C5.C5.C5.D5.D
5.D5.D2$3.2F21.C5.C5.C5.C5.D5.D5.D$2.F22.3D3.C2D3.C2D3.C2D3.D2C3.D2C
3.3C$3.F20.2DF2D.2DF2D.CDF2D.CDFDC.DCF2C.2CF2C.2CF2C$4.F20.2DC3.2DC3.
2DC3.2DC3.2CD3.2CD3.2CD$2.2F22.C5.C5.C5.C5.D5.D5.D2$26.D5.D5.C5.C5.D
5.C5.C$2.F.F20.3D3.3D3.3D3.3D3.3C3.3C3.3C$2.F.F19.2DFDC.2DFDC.2DFDC.C
DFDC.2CFCD.2CFCD.2CFCD$2.3F20.D2C3.3C3.3C3.3C3.3D3.3D3.C2D$26.D5.D5.D
5.D5.C5.C5.C2$26.C5.C5.C5.C5.D5.D5.D$2.F.F20.3D3.3D3.3D3.C2D3.3C3.3C
3.3C$2.F.F19.CDF2D.CDFCD.CDFCD.CDFCD.DCFDC.DCFDC.DCF2C$3.F21.2DC3.DCD
3.D2C3.D2C3.C2D3.CDC3.2CD$26.D5.D5.D5.D5.C5.C5.C2$26.D5.C5.C5.C5.D5.D
5.C$2.F.F20.C2D3.3D3.3D3.3D3.3C3.3C3.D2C$3.F20.2DFDC.CDFDC.CDFDC.CDFD
C.DCFCD.DCFCD.2CFCD$2.F.F20.DCD3.3D3.2DC3.CDC3.2CD3.3C3.CDC$26.D5.C5.
C5.C5.D5.D5.C2$2.3F21.C5.C5.C5.C5.D5.D5.D$2.F.F20.2DC3.DCD3.CDC3.CDC
3.DCD3.CDC3.2CD$2.3F19.2DFDC.CDFDC.CDFDC.CDFDC.DCFCD.DCFCD.2CFCD$2.F.
F20.3D3.3D3.3D3.DCD3.3C3.3C3.3C$2.F.F21.D5.D5.D5.D5.C5.C5.C2$2.3F21.D
5.D5.D5.D5.C5.C5.C$2.F.F20.C2D3.C2D3.C2D3.2CD3.D2C3.D2C3.D2C$2.2F20.
2DF2D.2DF2D.2DFCD.2DFCD.2CFDC.2CF2C.2CF2C$2.F.F20.2DC3.D2C3.D2C3.D2C
3.C2D3.C2D3.2CD$2.3F21.C5.C5.C5.C5.D5.D5.D2$2.3F21.C5.C5.C5.C5.D5.D5.
D$2.F22.3D3.3D3.DCD3.DCD3.CDC3.3C3.3C$2.F21.CDF2D.CDF2D.CDF2D.CDFDC.D
CF2C.DCF2C.DCF2C$2.F22.DCD3.D2C3.D2C3.D2C3.C2D3.C2D3.CDC$2.3F21.D5.D
5.D5.D5.C5.C5.C2$2.2F22.C5.C5.C5.C5.D5.D5.D$2.F.F20.3D3.3D3.3D3.3D3.
3C3.3C3.3C$2.F.F19.2DF2D.2DF2D.2DF2D.DCF2D.2CF2C.2CF2C.2CF2C$2.F.F20.
CDC3.CDC3.3C3.3C3.3D3.DCD3.DCD$2.2F22.D5.C5.C5.C5.D5.D5.C2$2.3F21.D5.
D5.D5.D5.C5.C5.C$2.F22.3D3.2DC3.D2C3.D2C3.C2D3.2CD3.3C$2.3F19.CDF2D.C
DF2D.CDF2D.CDFCD.DCF2C.DCF2C.DCF2C$2.F22.D2C3.D2C3.D2C3.D2C3.C2D3.C2D
3.C2D$2.3F21.D5.D5.D5.D5.C5.C5.C2$2.3F21.D5.D5.D5.D5.C5.C5.C$2.F22.3D
3.3D3.3D3.3D3.3C3.3C3.3C$2.3F19.2DF2D.2DF2D.DCF2D.DCFCD.CDF2C.2CF2C.
2CF2C$2.F22.D2C3.3C3.3C3.3C3.3D3.3D3.C2D$2.F23.C5.C5.C5.C5.D5.D5.D2$
2.3F21.D5.D5.D5.D5.C5.C5.C$2.F22.3D3.3D3.3D3.2DC3.3C3.3C3.3C$2.F.F19.
CDF2D.2CF2D.2CFCD.2CFCD.2DFDC.2DF2C.DCF2C$2.F.F20.2DC3.2DC3.2DC3.2DC
3.2CD3.2CD3.2CD$2.3F21.C5.C5.C5.C5.D5.D5.D2$2.F.F21.D5.C5.C5.C5.D5.D
5.C$2.F.F20.3D3.3D3.3D3.DCD3.3C3.3C3.3C$2.3F19.CDF2D.CDF2D.CDFDC.CDFD
C.DCFCD.DCF2C.DCF2C$2.F.F20.DCD3.DCD3.DCD3.DCD3.CDC3.CDC3.CDC$2.F.F
21.C5.C5.C5.C5.D5.D5.D2$2.3F21.C5.C5.C5.D5.D5.D5.D$3.F21.3D3.3D3.3D3.
CDC3.3C3.3C3.3C$3.F20.2DF2D.2DF2D.CDF2D.DCF2C.DCF2C.2CF2C.2CF2C$3.F
21.DCD3.D2C3.D2C3.C2D3.C2D3.C2D3.CDC$2.3F21.C5.C5.C5.D5.D5.D5.D2$2.3F
27.C5.C5.C5.D5.D$3.F27.3D3.3D3.3D3.3C3.3C$3.F26.CDF2D.CDFCD.CDFCD.DCF
DC.DCF2C$3.F27.2CD3.2CD3.3C3.2DC3.2DC$2.2F28.D5.D5.D5.C5.C2$2.F.F27.C
5.C5.C5.D5.D$2.F.F26.C2D3.C2D3.C2D3.D2C3.D2C$2.2F26.CDF2D.CDF2D.CDF2D
.DCF2C.DCF2C$2.F.F26.2DC3.D2C3.D2C3.C2D3.2CD$2.F.F27.D5.D5.C5.C5.C2$
2.F29.C5.C5.C5.D5.D$2.F28.DCD3.DCD3.D2C3.CDC3.CDC$2.F27.2DF2C.2DF2C.
2DF2C.2CF2D.2CF2D$2.F28.3D3.C2D3.C2D3.D2C3.3C$2.3F27.D5.D5.D5.C5.C2$.
5F26.D5.D5.D5.C5.C$.F.F.F25.C2D3.C2D3.CDC3.D2C3.D2C$.F.F.F24.CDF2D.CD
F2D.CDF2D.DCF2C.DCF2C$.F.F.F25.2DC3.CDC3.CDC3.DCD3.2CD$.F.F.F26.C5.C
5.C5.D5.D2$.2F2.F26.C5.C5.D5.D5.D$.F.F.F25.C2D3.C2D3.D2C3.D2C3.D2C$.F
.F.F24.CDF2D.CDF2D.2DF2C.DCF2C.DCF2C$.F.F.F25.3D3.DCD3.CDC3.CDC3.3C$.
F2.2F26.C5.C5.D5.D5.D2$2.3F27.C5.D5.C5.C5.D$2.F.F26.3D3.3D3.3D3.3C3.
3C$2.F.F25.CDFDC.2CF2C.2CF2C.2DF2D.DCFCD$2.F.F26.DCD3.DCD3.DCD3.CDC3.
CDC$2.3F27.D5.D5.D5.C5.C2$2.3F27.C5.C5.C5.D5.D$2.F.F26.CDC3.CDC3.CDC
3.DCD3.DCD$2.3F25.CDF2D.CDF2D.CDF2D.DCF2C.DCF2C$2.F28.3D3.3D3.2DC3.3C
3.3C$2.F29.D5.C5.C5.D5.C2$.4F27.C5.C5.D5.D5.D$.F2.F26.CDC3.CDC3.DCD3.
DCD3.DCD$.F.2F25.2DF2D.2DF2D.2CFCD.2CF2C.2CF2C$.4F26.C2D3.C2D3.D2C3.D
2C3.D2C$5.F26.D5.C5.D5.D5.C2$2.3F27.C5.C5.C5.D5.D$2.F.F26.C2D3.C2D3.C
2D3.D2C3.D2C$2.2F26.2DF2D.CDF2D.CDF2D.DCF2C.2CF2C$2.F.F26.CDC3.CDC3.C
DC3.DCD3.DCD$2.F.F27.D5.D5.C5.C5.C2$2.3F27.D5.D5.C5.C5.C$2.F28.2DC3.
2DC3.2DC3.2CD3.2CD$2.3F25.CDF2D.DCFCD.DCFCD.CDFDC.DCF2C$4.F26.2DC3.2D
C3.2DC3.2CD3.2CD$2.3F27.C5.C5.C5.D5.D2$2.3F27.D5.D5.D5.C5.C$3.F27.3C
3.3C3.3C3.3D3.3D$3.F26.2DF2D.2DF2D.DCF2D.2CF2C.2CF2C$3.F27.3D3.C2D3.C
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F.F3.F36.3C$F.F.2F38.D2$3F.F39.C$F.F.F38.DCD$3F.3F35.DCFDC$F.F.F38.D
2C$F.F.3F37.D2$3F41.C$F.F.F.F36.CDC$3F.F.F35.2DF2D$F.F.3F36.D2C$F.F
41.C2$3F41.C$F.F.F.F36.CDC$3F.F.F35.CDF2D$F.F2.F37.D2C$F.F41.D2$3F41.
C$F.F.F.F.F34.2CD$3F.F.F.F33.DCFDC$F.F.5F34.C2D$F.F41.D2$3F41.D$F.F.F
.F36.CDC$3F2.F36.2DFDC$F.F.F.F36.D2C$F.F41.C2$3F.F.F37.C$F.F.F.F36.CD
C$3F.3F35.CDF2D$F.F3.F36.DCD$F.F.3F37.C2$3F.2F38.D$F.F3.F36.C2D$3F2.F
36.2CF2D$F.F.F38.3C$F.F2.2F37.D2$3F.3F37.C$F.F.F.F36.2CD$3F.3F35.DCF
2D$F.F.F.F36.CDC$F.F.F.F37.D2$3F.3F37.D$F.F.F.F36.C2D$3F.2F36.2DFDC$F
.F.F.F36.3C$F.F.3F37.C2$3F.3F37.D$F.F.F38.C2D$3F.F37.DCFDC$F.F.F38.D
2C$F.F.3F37.C2$3F.2F38.D$F.F.F.F36.3D$3F.F.F35.2CFDC$F.F.F.F36.3C$F.F
.2F38.D!


With this rulespace, we can see that:
- The maximum speed for which an object can travel at without either exploding in all directions or not being isotropic has become c diagonal, from c orthogonal.
- It should now be possible to simulate any isotropic non-totalistic Moore-neighbourhood rule rotated 45 degrees. Here's (what I believe to be) the bare minimum required to simulate one universe of skew Life:
x = 3, y = 4, rule = B3[c,m,o,s,v,z,A,B,D,G]/S2[c,j,n,q,t,y],3[c,m,o,s,v,z,A,B,D,G]
bo$o$bo$obo!

and for a (150,90) 2D replicator:
x = 1, y = 1, rule = B1[-e],3[c,m,o,s,v,z,A,B,D,G],5[c,s,x,A,M,P,Q,R,ab,Ai],7[e,ap]/S1[-e],3[c,m,o,s,v,z,A,B,D,G],5[c,s,x,A,M,P,Q,R,ab,Ai],7[e,ap]
o!


Conjecturally, it should be possible to simulate two copies of any such Moore rule using this method in the same universe, as long as they're aligned to cells of different parity and all the transitions are correct.
I currently don't know of any programs that can run patterns in this rulespace. However, I am hopeful that, if this rulespace is to be implemented, that the CA community will have even more freedom to experiment with even weirder oddball patterns than anyone has come up with so far.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3310
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby mjacquet » February 9th, 2019, 2:24 pm

Instead of using case-sensitive transition names which require commas separating them, you could use something along the lines of a, b, c, d, ..., u, va, vb, ..., vy, vz, wa, wb, ..., wz, xa, ..., xz, ya, ..., yz, za, ..., zz as the names of the transitions (or only up to zi, since there are only 134 symbols needed.) It's case insensitive, and unambiguous to parse when the strings are concatenated (for instance in the string akvexyyo, the only valid decomposition is a k ve xy yo.)
mjacquet
 
Posts: 1
Joined: January 22nd, 2019, 9:20 pm

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » February 9th, 2019, 5:33 pm

Here's the table of transitions rearranged to be in alphabetical order and also including the above notation:
x = 95, y = 809, rule = bs012345678History
8.D71.C$7.3D69.3C$6.2DF2D67.2CF2C$7.3D69.3C$8.D71.C2$2.3F9.D5.D5.D5.D
5.D5.D5.C5.C5.C5.C5.C9.3F$4.F8.3D3.3D3.3D3.3D3.C2D3.2CD3.D2C3.3C3.3C
3.3C3.3C10.F$2.3F7.2DF2D.2DF2D.DCF2D.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.CD
F2C.2CF2C.2CF2C7.3F$2.F.F8.3D3.2CD3.2CD3.3C3.3C3.3C3.3D3.3D3.2DC3.2DC
3.3C8.F.F$2.3F9.C5.D5.D5.D5.D5.D5.C5.C5.C5.C5.D9.3F2$2.F23.C5.C5.C5.C
5.D5.D5.D21.F$2.F22.3D3.3D3.DCD3.D2C3.CDC3.3C3.3C20.F$2.3F19.2DF2D.2D
FCD.2DFCD.2DFCD.2CFDC.2CFDC.2CF2C19.3F$2.F.F20.D2C3.D2C3.D2C3.D2C3.C
2D3.C2D3.C2D20.F.F$2.3F21.D5.D5.D5.D5.C5.C5.C21.3F2$14.D5.D5.D5.D5.D
5.C5.C5.C5.C5.C5.C9.3F$2.3F8.3D3.3D3.C2D3.CDC3.CDC3.CDC3.DCD3.DCD3.D
2C3.3C3.3C8.F$2.F9.2DF2D.2DF2D.2DF2D.2DF2D.2DF2D.2DF2D.2CF2C.2CF2C.2C
F2C.2CF2C.2CF2C7.F$2.3F8.2DC3.CDC3.CDC3.CDC3.CDC3.CDC3.DCD3.DCD3.DCD
3.DCD3.2CD8.F$14.D5.D5.D5.D5.C5.C5.D5.C5.C5.C5.C9.3F2$4.F21.C5.C5.C5.
C5.D5.D5.D23.F$4.F20.3D3.3D3.3D3.DCD3.3C3.3C3.3C22.F$2.3F19.DCF2D.DCF
2D.DCF2D.DCF2D.CDF2C.CDF2C.CDF2C19.3F$2.F.F20.DCD3.DCD3.2CD3.2CD3.2DC
3.CDC3.CDC20.F.F$2.3F21.D5.C5.C5.C5.D5.D5.C21.3F2$2.3F9.D5.D5.D5.D5.D
5.D5.C5.C5.C5.C5.C9.3F$2.F.F8.3D3.3D3.DCD3.DCD3.DCD3.2CD3.CDC3.CDC3.C
DC3.3C3.3C8.F.F$2.3F7.2DF2D.DCF2D.DCF2D.DCFCD.DCFCD.DCFCD.CDFDC.CDFDC
.CDF2C.CDF2C.2CF2C7.3F$2.F10.DCD3.DCD3.DCD3.DCD3.D2C3.D2C3.C2D3.CDC3.
CDC3.CDC3.CDC8.F$2.3F9.D5.D5.D5.D5.D5.D5.C5.C5.C5.C5.C9.3F2$3.2F21.D
5.D5.D5.C5.C5.C5.C22.2F$3.F21.2DC3.2DC3.D2C3.D2C3.C2D3.2CD3.2CD21.F$
2.3F19.2DF2D.2DF2D.2DF2D.2DF2D.2CF2C.2CF2C.2CF2C19.3F$3.F21.DCD3.D2C
3.D2C3.D2C3.C2D3.C2D3.CDC21.F$2.2F22.C5.C5.C5.C5.D5.D5.D21.2F2$2.3F
21.C5.C5.C5.C5.D5.D5.D$2.F.F20.C2D3.C2D3.C2D3.CDC3.D2C3.D2C3.D2C20.3F
$2.3F19.2DF2D.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.2CF2C21.F$4.F20.DCD3.DCD
3.DCD3.DCD3.CDC3.CDC3.CDC20.3F$2.3F21.D5.D5.C5.C5.D5.C5.C2$2.F23.D5.D
5.C5.C5.D5.C5.C21.F$2.F22.2DC3.D2C3.D2C3.D2C3.C2D3.C2D3.2CD20.F$2.3F
19.2DFDC.2DFDC.2DFDC.2DFDC.2CFCD.2CFCD.2CFCD19.3F$2.F.F20.DCD3.DCD3.D
CD3.DCD3.CDC3.CDC3.CDC20.F.F$2.F.F21.D5.D5.D5.C5.C5.C5.C21.F.F2$3.F
16.D5.D5.D5.D5.D5.C5.C5.C5.C15.3F$19.DCD3.3D3.3D3.2CD3.3C3.2DC3.DCD3.
3C3.CDC15.F$3.F14.2DF2D.2DF2D.DCFCD.DCF2D.2DF2D.CDF2C.CDFDC.2CF2C.2CF
2C14.F$3.F15.DCD3.3C3.CDC3.2CD3.3C3.2DC3.3C3.3D3.CDC15.F$3.F16.D5.D5.
D5.D5.D5.C5.C5.C5.C15.3F2$4.F15.C5.D5.D5.D5.C5.C5.C5.C5.D15.3F$19.3D
3.2DC3.2DC3.2DC3.DCD3.2CD3.2CD3.2CD3.3C15.F$4.F13.CDF2D.2DFCD.DCFCD.D
CFCD.CDFDC.CDFDC.CDFDC.2CFDC.DCF2C14.F$4.F14.3D3.DCD3.DCD3.2CD3.2DC3.
2DC3.CDC3.CDC3.3C15.F$2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C15.2F2$20.D5.D
5.D5.D5.C5.C5.C5.C5.C15.F.F$2.F.F14.C2D3.DCD3.CDC3.CDC3.DCD3.DCD3.DCD
3.CDC3.D2C14.F.F$2.2F14.2DF2D.DCF2D.DCF2D.DCF2D.2DF2C.CDF2C.CDF2C.CDF
2C.2CF2C13.2F$2.F.F14.DCD3.2DC3.DCD3.CDC3.DCD3.DCD3.CDC3.2CD3.CDC14.F
.F$20.D5.D5.D5.D5.C5.C5.C5.C5.C15.F.F2$2.F23.D5.C5.C5.D5.D5.D5.C21.F$
2.F22.DCD3.DCD3.DCD3.CDC3.CDC3.CDC3.CDC20.F$2.F21.2DF2D.2DF2D.2DF2D.
2CFCD.2CF2C.2CF2C.2CF2C19.F$2.F.F20.DCD3.DCD3.D2C3.C2D3.C2D3.CDC3.CDC
20.F$2.3F21.C5.C5.C5.D5.D5.D5.D21.3F2$26.C5.D5.D5.C5.C5.C5.D20.5F$.5F
19.3D3.CDC3.3C3.3C3.3D3.DCD3.3C19.F.F.F$.F.F.F18.CDFDC.CDFDC.CDFDC.CD
FDC.DCFCD.DCFCD.DCFCD18.F.F.F$.F.F.F19.3D3.3D3.3D3.3D3.3C3.3C3.3C19.F
.F.F$26.D5.D5.D5.D5.C5.C5.C20.F.F.F2$2.3F15.D5.D5.D5.D5.D5.C5.C5.C5.C
15.3F$2.F.F14.C2D3.3D3.C2D3.C2D3.2CD3.D2C3.D2C3.3C3.D2C14.F.F$2.F.F
13.2DF2D.DCF2D.DCF2D.DCFCD.DCFCD.CDFDC.CDF2C.CDF2C.2CF2C13.F.F$2.F.F
14.2DC3.CDC3.CDC3.CDC3.CDC3.DCD3.DCD3.DCD3.2CD14.F.F$2.F.F15.D5.D5.D
5.D5.D5.C5.C5.C5.C15.F.F2$26.D5.D5.C5.D5.D5.C5.C21.3F$2.3F20.3D3.DCD
3.DCD3.DCD3.CDC3.CDC3.3C20.F.F$2.F.F19.2DF2D.2DF2D.2DF2D.DCFCD.2CF2C.
2CF2C.2CF2C19.F.F$2.3F20.CDC3.CDC3.CDC3.CDC3.DCD3.DCD3.DCD20.F.F$26.C
5.C5.C5.C5.D5.D5.D21.3F2$2.3F21.D5.D5.D5.C5.C5.C5.C21.3F$2.F.F20.3D3.
3D3.DCD3.C2D3.CDC3.3C3.3C20.F.F$2.2F20.2DFCD.2DFCD.2DFCD.2CFDC.2CFDC.
2CFDC.2CFDC19.3F$2.F22.DCD3.D2C3.D2C3.C2D3.C2D3.C2D3.CDC20.F$2.F23.C
5.C5.C5.D5.D5.D5.D21.F2$2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C15.3F$2.F.F
14.3D3.2CD3.2CD3.2CD3.3D3.2DC3.2DC3.2DC3.3C14.F.F$2.3F13.2DF2D.2DF2D.
DCF2D.DCF2D.CDF2C.CDF2C.CDF2C.2CF2C.2CF2C13.3F$4.F14.2DC3.2DC3.2DC3.C
DC3.DCD3.DCD3.2CD3.2CD3.2CD16.F$4.F15.C5.D5.D5.D5.C5.C5.C5.C5.D17.F2$
2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C15.3F$2.F16.3D3.D2C3.D2C3.2CD3.3D3.2D
C3.C2D3.C2D3.3C14.F$2.F15.2DFCD.2DF2D.2DFCD.DCFCD.CDFDC.CDFDC.2CFDC.
2CF2C.2CFDC13.F$2.F16.3D3.DCD3.DCD3.C2D3.D2C3.D2C3.CDC3.CDC3.3C14.F$
2.F17.C5.D5.D5.D5.C5.C5.C5.C5.D15.F2$3.2F21.C5.C5.C5.C5.D5.D5.D21.3F$
2.F22.3D3.C2D3.C2D3.C2D3.D2C3.D2C3.3C20.F$3.F20.2DF2D.2DF2D.CDF2D.CDF
DC.DCF2C.2CF2C.2CF2C19.3F$4.F20.2DC3.2DC3.2DC3.2DC3.2CD3.2CD3.2CD22.F
$2.2F22.C5.C5.C5.C5.D5.D5.D21.3F2$2.F17.C5.D5.D5.D5.C5.C5.C5.C5.D15.F
$2.F16.3D3.3D3.3C3.3C3.3C3.3D3.3D3.3C3.3C14.F$2.3F13.2DF2D.DCFCD.2DF
2D.2DF2D.2DF2D.2CF2C.2CF2C.CDFDC.2CF2C13.3F$2.F16.3D3.3D3.DCD3.DCD3.D
CD3.CDC3.CDC3.3C3.3C14.F$2.3F15.C5.C5.D5.C5.C5.D5.C5.D5.D15.3F2$26.D
5.D5.C5.C5.D5.C5.C21.F.F$2.F.F20.3D3.3D3.3D3.3D3.3C3.3C3.3C20.F.F$2.F
.F19.2DFDC.2DFDC.2DFDC.CDFDC.2CFCD.2CFCD.2CFCD19.F.F$2.3F20.D2C3.3C3.
3C3.3C3.3D3.3D3.C2D20.F.F$26.D5.D5.D5.D5.C5.C5.C21.3F2$26.C5.C5.C5.C
5.D5.D5.D21.F.F.3F$2.F.F20.3D3.3D3.3D3.C2D3.3C3.3C3.3C20.F.F3.F$2.F.F
19.CDF2D.CDFCD.CDFCD.CDFCD.DCFDC.DCFDC.DCF2C19.F.F.3F$3.F21.2DC3.DCD
3.D2C3.D2C3.C2D3.CDC3.2CD20.F.F.F.F$26.D5.D5.D5.D5.C5.C5.C22.F2.3F2$
20.C5.D5.D5.D5.D5.C5.C5.C5.D15.F.F.F$.F.F.F13.3D3.3D3.C2D3.CDC3.CDC3.
DCD3.D2C3.3C3.3C14.F.F.F$.F.F.F12.2DF2D.CDFDC.DCF2D.DCF2D.DCF2D.CDF2C
.CDF2C.DCFCD.2CF2C13.F.F.3F$.5F13.DCD3.DCD3.D2C3.D2C3.3C3.C2D3.C2D3.C
DC3.CDC14.F.F.F.F$20.D5.D5.D5.D5.D5.C5.C5.C5.C16.F2.3F2$26.D5.C5.C5.C
5.D5.D5.C21.F.F.3F$2.F.F20.C2D3.3D3.3D3.3D3.3C3.3C3.D2C20.F.F.F$3.F
20.2DFDC.CDFDC.CDFDC.CDFDC.DCFCD.DCFCD.2CFCD19.F.F.F$2.F.F20.DCD3.3D
3.2DC3.CDC3.2CD3.3C3.CDC20.F.F.F$26.D5.C5.C5.C5.D5.D5.C22.F2.3F2$2.F.
F15.D5.D5.D5.D5.D5.C5.C5.C5.C15.F.F3.F$2.F.F14.2DC3.CDC3.CDC3.CDC3.CD
C3.DCD3.DCD3.DCD3.2CD14.F.F3.F$2.3F13.CDF2D.2DF2D.2DF2D.DCFCD.DCFCD.C
DFDC.2CF2C.2CF2C.DCF2C13.F.F.3F$4.F14.3D3.DCD3.2CD3.DCD3.DCD3.CDC3.2D
C3.CDC3.3C14.F.F.F.F$2.3F15.D5.D5.D5.D5.C5.C5.C5.C5.C16.F2.3F2$2.2F
16.D5.D5.D5.D5.C5.C5.C5.C5.C15.F.F.3F$4.F14.3D3.C2D3.2CD3.3D3.2CD3.3C
3.2DC3.D2C3.3C14.F.F.F.F$3.F14.2DF2D.2DF2D.2DF2D.2CF2D.2DF2D.2DF2C.2C
F2C.2CF2C.2CF2C13.F.F.3F$2.F16.DCD3.C2D3.D2C3.3C3.D2C3.3D3.C2D3.D2C3.
CDC14.F.F.F$3.2F15.C5.C5.D5.D5.C5.C5.C5.D5.D16.F2.3F2$2.3F21.C5.C5.C
5.C5.D5.D5.D21.F.F2.2F$2.F.F20.2DC3.DCD3.CDC3.CDC3.DCD3.CDC3.2CD20.F.
F2.F$2.3F19.2DFDC.CDFDC.CDFDC.CDFDC.DCFCD.DCFCD.2CFCD19.F.F.3F$2.F.F
20.3D3.3D3.3D3.DCD3.3C3.3C3.3C20.F.F2.F$2.F.F21.D5.D5.D5.D5.C5.C5.C
22.F2.2F2$2.3F21.D5.D5.D5.D5.C5.C5.C21.F.F$2.F.F20.C2D3.C2D3.C2D3.2CD
3.D2C3.D2C3.D2C20.F.F.3F$2.2F20.2DF2D.2DF2D.2DFCD.2DFCD.2CFDC.2CF2C.
2CF2C19.F.F3.F$2.F.F20.2DC3.D2C3.D2C3.D2C3.C2D3.C2D3.2CD20.F.F.3F$2.
3F21.C5.C5.C5.C5.D5.D5.D22.F2$2.3F21.C5.C5.C5.C5.D5.D5.D21.F.F.F$2.F
22.3D3.3D3.DCD3.DCD3.CDC3.3C3.3C20.F.F.F$2.F21.CDF2D.CDF2D.CDF2D.CDFD
C.DCF2C.DCF2C.DCF2C19.F.F.3F$2.F22.DCD3.D2C3.D2C3.D2C3.C2D3.C2D3.CDC
20.F.F.F.F$2.3F21.D5.D5.D5.D5.C5.C5.C22.F2.F.F2$2.2F22.C5.C5.C5.C5.D
5.D5.D21.F.F.3F$2.F.F20.3D3.3D3.3D3.3D3.3C3.3C3.3C20.F.F2.F$2.F.F19.
2DF2D.2DF2D.2DF2D.DCF2D.2CF2C.2CF2C.2CF2C19.F.F2.F$2.F.F20.CDC3.CDC3.
3C3.3C3.3D3.DCD3.DCD20.F.F2.F$2.2F22.D5.C5.C5.C5.D5.D5.C22.F2.3F2$2.
3F21.D5.D5.D5.D5.C5.C5.C21.F.F.3F$2.F22.3D3.2DC3.D2C3.D2C3.C2D3.2CD3.
3C20.F.F2.F$2.3F19.CDF2D.CDF2D.CDF2D.CDFCD.DCF2C.DCF2C.DCF2C19.F.F2.F
$2.F22.D2C3.D2C3.D2C3.D2C3.C2D3.C2D3.C2D20.F.F2.F$2.3F21.D5.D5.D5.D5.
C5.C5.C22.F2.2F2$2.3F21.D5.D5.D5.D5.C5.C5.C21.F.F.F.F$2.F22.3D3.3D3.
3D3.3D3.3C3.3C3.3C20.F.F.F.F$2.3F19.2DF2D.2DF2D.DCF2D.DCFCD.CDF2C.2CF
2C.2CF2C19.F.F.2F$2.F22.D2C3.3C3.3C3.3C3.3D3.3D3.C2D20.F.F.F.F$2.F23.
C5.C5.C5.C5.D5.D5.D22.F2.F.F2$2.3F21.D5.D5.D5.D5.C5.C5.C21.F.F.F$2.F
22.3D3.3D3.3D3.2DC3.3C3.3C3.3C20.F.F.F$2.F.F19.CDF2D.2CF2D.2CFCD.2CFC
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.F.F$2.F.F32.DCD3.DCD3.CDC32.F.F.F$3F.F.F29.CDF2D.2CF2D.DCF2C32.F2.F$
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3F$2.F.F.F30.C2D3.2CD3.D2C32.F.F.F.F$3F.2F30.2DFDC.2DFDC.2CFCD32.F2.
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5.C5.C33.F.F.3F$2.F.F32.C2D3.C2D3.D2C32.F.F.F.F$3F.F31.2DF2D.2DF2D.2C
F2C32.F2.3F$F.F.F32.3C3.3C3.3D32.F.F3.F$3F.3F31.C5.C5.D33.F.F3.F2$3F.
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F.F.F30.3D3.3D3.3C32.F.F.F.F$3F.3F29.DCFDC.DCFDC.CDFCD32.F2.F.F$F.F.F
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32.F2.F.F$F.F.4F29.DCD3.D2C3.CDC32.F.F.F.F$3F5.F29.D5.D5.C33.F.F2.F2$
3F.3F31.C5.C5.D33.F.F.F.F.F$2.F.F.F30.3D3.2DC3.3C32.F.F.F.F.F$3F.2F
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3F.F.F31.C5.C5.D33.F.F.5F2$3F.3F31.D5.D5.C33.F.F.F.F$2.F.F32.CDC3.CDC
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F.F.F.F30.D2C3.D2C3.C2D34.F.3F$F.F.3F31.C5.C5.D33.3F2$3F35.D5.D5.C33.
F.F.F$F.F.3F30.DCD3.DCD3.CDC32.F.F.F$3F.F31.DCFDC.DCFDC.CDFCD31.3F.3F
$F.F.3F30.D2C3.3C3.C2D34.F.F.F$F.F35.D5.D5.C33.3F.F.F2$3F3.F31.C5.C5.
D33.F.F.3F$F.F3.F30.2DC3.2DC3.2CD32.F.F2.F$3F.3F29.2CF2D.2CF2D.2DF2C
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3F31.D5.C5.C33.F.F.3F$F.F.F.F30.DCD3.DCD3.CDC32.F.F2.F$3F.3F29.2CF2D.
2CF2D.2DF2C31.3F2.F$F.F.F32.2CD3.2CD3.2DC34.F2.F$F.F.3F31.D5.D5.C33.
3F.2F2$3F2.2F31.D5.D5.C33.F.F.F.F$F.F2.F31.2DC3.D2C3.2CD32.F.F.F.F$3F
.3F29.DCF2D.DCF2D.CDF2C31.3F.2F$F.F2.F31.D2C3.D2C3.C2D34.F.F.F$F.F.2F
32.C5.C5.D33.3F.F.F2$3F.3F31.D5.D5.C33.F.F.F$F.F.F.F30.DCD3.DCD3.CDC
32.F.F.F$3F.3F29.DCFDC.DCFDC.CDFCD31.3F.F$F.F3.F30.2CD3.2CD3.2DC34.F.
F$F.F.3F31.D5.C5.C33.3F.3F2$3F.F33.D5.D5.C33.F.F.5F$F.F.F32.2CD3.2CD
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F.F.3F$F.F34.C2D3.C2D3.D2C32.F.F.F.F$3F2.F30.2DFDC.2DFDC.2CFCD31.3F.F
.F$F.F2.F31.CDC3.3C3.DCD34.F.F.F$F.F2.F32.D5.D5.C33.3F.F.F2$3F3.F31.C
5.C5.D33.F.F.3F$F.F34.C2D3.C2D3.D2C32.F.F.F.F$3F3.F29.2DF2D.2DFCD.2CF
2C31.3F.F.F$F.F3.F30.D2C3.D2C3.C2D34.F.F.F$F.F.3F31.C5.C5.D33.3F.3F2$
3F.F.F37.D39.F.F.3F$F.F.F.F36.C2D38.F.F.F.F$3F.2F36.CDFDC37.3F.3F$F.F
.F.F36.2CD40.F.F$F.F.F.F37.C39.3F.F2$3F.F39.C39.F.F.3F$F.F.F38.C2D38.
F.F.F.F$3F.F37.2DFDC37.3F.3F$F.F.F.F36.2CD40.F3.F$F.F.3F37.C39.3F3.F
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3F.F.F35.2CFDC37.3F.3F$F.F.F.F36.2CD40.F3.F$F.F41.D39.3F.3F2$3F41.C
39.F.F.F$F.F.3F36.DCD38.F.F.F$3F.F.F35.DCFDC37.3F.3F$F.F.3F36.2CD40.F
.F$F.F41.D39.3F.3F2$3F.3F37.C39.F.F.F.F$F.F.F.F36.CDC38.F.F.F.F$3F.2F
36.2DFDC37.3F.F.F$F.F.F38.D2C40.F.F.F$F.F.F39.D39.3F.3F2$3F.3F37.D39.
F.F.F.F$F.F.F.F36.CDC38.F.F.F.F$3F.3F35.2DF2D37.3F.F.F$F.F3.F36.3C40.
F.F.F$F.F41.C39.3F2.F2$3F.3F37.D39.F.F.F.F.F$F.F.F38.DCD38.F.F.F.F.F$
3F.F37.DCFDC37.3F.F.F.F$F.F.F38.D2C40.F.F.F.F$F.F.F39.C39.3F.5F2$3F2.
2F37.C39.F.F.F.F$F.F.F38.CDC38.F.F.F.F$3F2.F36.2DF2D37.3F2.F$F.F3.F
36.3C40.F.F.F$F.F.2F38.D39.3F.F.F2$3F.F39.C39.F.F.F.F$F.F.F38.DCD38.F
.F.F.F$3F.3F35.DCFDC37.3F.3F$F.F.F38.D2C40.F3.F$F.F.3F37.D39.3F.3F2$
3F41.C39.F.F.3F$F.F.F.F36.CDC38.F.F3.F$3F.F.F35.2DF2D37.3F.3F$F.F.3F
36.D2C40.F.F$F.F41.C39.3F.3F2$3F41.C39.3F.3F$F.F.F.F36.CDC40.F3.F$3F.
F.F35.CDF2D37.3F.3F$F.F2.F37.D2C38.F3.F.F$F.F41.D39.3F.3F2$3F41.C39.
3F.F$F.F.F.F.F34.2CD40.F.F$3F.F.F.F33.DCFDC37.3F.3F$F.F.5F34.C2D38.F
3.F.F$F.F41.D39.3F.3F2$3F41.D39.3F.3F$F.F.F.F36.CDC40.F.F$3F2.F36.2DF
DC37.3F.F$F.F.F.F36.D2C38.F3.F$F.F41.C39.3F.3F2$3F.F.F37.C39.3F3.F$F.
F.F.F36.CDC40.F3.F$3F.3F35.CDF2D37.3F.3F$F.F3.F36.DCD38.F3.F.F$F.F.3F
37.C39.3F.3F2$3F.2F38.D39.3F.3F$F.F3.F36.C2D40.F.F.F$3F2.F36.2CF2D37.
3F.3F$F.F.F38.3C38.F3.F$F.F2.2F37.D39.3F.3F2$3F.3F37.C39.3F2.2F$F.F.F
.F36.2CD40.F2.F$3F.3F35.DCF2D37.3F.3F$F.F.F.F36.CDC38.F4.F$F.F.F.F37.
D39.3F.2F2$3F.3F37.D39.3F$F.F.F.F36.C2D40.F.3F$3F.2F36.2DFDC37.3F3.F$
F.F.F.F36.3C38.F3.3F$F.F.3F37.C39.3F2$3F.3F37.D39.3F.F$F.F.F38.C2D40.
F.F$3F.F37.DCFDC37.3F.3F$F.F.F38.D2C38.F3.F.F$F.F.3F37.C39.3F.F.F2$3F
.2F38.D39.3F.3F$F.F.F.F36.3D40.F2.F$3F.F.F35.2CFDC37.3F2.F$F.F.F.F36.
3C38.F4.F$F.F.2F38.D39.3F.3F!


and the two patterns:
x = 3, y = 4, rule = isoplus-B3cmosvavevfvgvivl/S2cjnqtvd3cmosvavevfvgvivl
bo$o$bo$obo!


x = 1, y = 1, rule = isoplus-B1-e3cmosvavevfvgvivl5csvcvfvrvuvvvwwgyn7ewu/S1-e3cmosvavevfvgvivl5csvcvfvrvuvvvwwgyn7ewu
o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3310
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » February 10th, 2019, 9:12 am

Here's a third notation proposal, omitting b (used for birth), s (used for survival), d (used to indicate deficient rules), g (used for generations) and h (used to indicate a hexagonal neighbourhood). This one is more Catagolue-friendly, assuming some extra tweak to notation is added to stop it from getting mixed up with isotropic non totaistic moore or hexagonal rules.

x = 113, y = 809, rule = bs012345678History
8.D71.C$7.3D69.3C$6.2DF2D67.2CF2C$7.3D69.3C$8.D71.C2$2.3F9.D5.D5.D5.D
5.D5.D5.C5.C5.C5.C5.C9.3F15.3F$4.F8.3D3.3D3.3D3.3D3.C2D3.2CD3.D2C3.3C
3.3C3.3C3.3C10.F17.F$2.3F7.2DF2D.2DF2D.DCF2D.DCF2D.DCF2D.DCF2D.CDF2C.
CDF2C.CDF2C.2CF2C.2CF2C7.3F15.3F$2.F.F8.3D3.2CD3.2CD3.3C3.3C3.3C3.3D
3.3D3.2DC3.2DC3.3C8.F.F15.F.F$2.3F9.C5.D5.D5.D5.D5.D5.C5.C5.C5.C5.D9.
3F15.3F2$2.F23.C5.C5.C5.C5.D5.D5.D21.F17.F.F.3F$2.F22.3D3.3D3.DCD3.D
2C3.CDC3.3C3.3C20.F17.F.F3.F$2.3F19.2DF2D.2DFCD.2DFCD.2DFCD.2CFDC.2CF
DC.2CF2C19.3F15.F.F.3F$2.F.F20.D2C3.D2C3.D2C3.D2C3.C2D3.C2D3.C2D20.F.
F15.F.F.F.F$2.3F21.D5.D5.D5.D5.C5.C5.C21.3F15.3F.3F2$14.D5.D5.D5.D5.D
5.C5.C5.C5.C5.C5.C9.3F15.3F$2.3F8.3D3.3D3.C2D3.CDC3.CDC3.CDC3.DCD3.DC
D3.D2C3.3C3.3C8.F17.F$2.F9.2DF2D.2DF2D.2DF2D.2DF2D.2DF2D.2DF2D.2CF2C.
2CF2C.2CF2C.2CF2C.2CF2C7.F17.F$2.3F8.2DC3.CDC3.CDC3.CDC3.CDC3.CDC3.DC
D3.DCD3.DCD3.DCD3.2CD8.F17.F$14.D5.D5.D5.D5.C5.C5.D5.C5.C5.C5.C9.3F
15.3F2$4.F21.C5.C5.C5.C5.D5.D5.D23.F15.F.F.3F$4.F20.3D3.3D3.3D3.DCD3.
3C3.3C3.3C22.F15.F.F.F$2.3F19.DCF2D.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.CDF
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3F11.3F.3F2$3F.3F37.D39.F.F.F.F11.3F.3F$F.F.F.F36.CDC38.F.F.F.F13.F3.
F$3F.3F35.2DF2D37.3F.F.F11.3F.3F$F.F3.F36.3C40.F.F.F11.F3.F.F$F.F41.C
39.3F2.F12.3F.3F2$3F.3F37.D39.F.F.F.F.F9.3F.3F$F.F.F38.DCD38.F.F.F.F.
F11.F.F$3F.F37.DCFDC37.3F.F.F.F9.3F.F$F.F.F38.D2C40.F.F.F.F9.F3.F$F.F
.F39.C39.3F.5F9.3F.3F2$3F2.2F37.C39.F.F.F.F11.3F.3F$F.F.F38.CDC38.F.F
.F.F13.F.F.F$3F2.F36.2DF2D37.3F2.F12.3F.3F$F.F3.F36.3C40.F.F.F11.F3.F
$F.F.2F38.D39.3F.F.F11.3F.3F2$3F.F39.C39.F.F.F.F11.3F2.2F$F.F.F38.DCD
38.F.F.F.F13.F2.F$3F.3F35.DCFDC37.3F.3F11.3F.3F$F.F.F38.D2C40.F3.F11.
F4.F$F.F.3F37.D39.3F.3F11.3F.2F2$3F41.C39.F.F.3F11.3F.3F$F.F.F.F36.CD
C38.F.F3.F13.F2.F$3F.F.F35.2DF2D37.3F.3F11.3F2.F$F.F.3F36.D2C40.F.F
13.F4.F$F.F41.C39.3F.3F11.3F.3F2$3F41.C39.3F.3F11.3F.3F$F.F.F.F36.CDC
40.F3.F13.F2.F$3F.F.F35.CDF2D37.3F.3F11.3F2.F$F.F2.F37.D2C38.F3.F.F
11.F4.F$F.F41.D39.3F.3F11.3F.2F2$3F41.C39.3F.F13.3F.F.F$F.F.F.F.F34.
2CD40.F.F15.F.F.F$3F.F.F.F33.DCFDC37.3F.3F11.3F.2F$F.F.5F34.C2D38.F3.
F.F11.F3.F.F$F.F41.D39.3F.3F11.3F.F.F2$3F41.D39.3F.3F11.3F.F$F.F.F.F
36.CDC40.F.F15.F.F$3F2.F36.2DFDC37.3F.F13.3F.F$F.F.F.F36.D2C38.F3.F
13.F3.F$F.F41.C39.3F.3F11.3F.3F2$3F.F.F37.C39.3F3.F11.3F.5F$F.F.F.F
36.CDC40.F3.F13.F.F.F.F$3F.3F35.CDF2D37.3F.3F11.3F.F.F.F$F.F3.F36.DCD
38.F3.F.F11.F3.F.F.F$F.F.3F37.C39.3F.3F11.3F.F.F.F2$3F.2F38.D39.3F.3F
11.3F.3F$F.F3.F36.C2D40.F.F.F13.F.F.F$3F2.F36.2CF2D37.3F.3F11.3F.F.F$
F.F.F38.3C38.F3.F13.F3.F.F$F.F2.2F37.D39.3F.3F11.3F.F.F2$3F.3F37.C39.
3F2.2F11.3F.3F$F.F.F.F36.2CD40.F2.F14.F.F.F$3F.3F35.DCF2D37.3F.3F11.
3F.F.F$F.F.F.F36.CDC38.F4.F12.F3.F.F$F.F.F.F37.D39.3F.2F12.3F.3F2$3F.
3F37.D39.3F15.3F.3F$F.F.F.F36.C2D40.F.3F13.F.F.F$3F.2F36.2DFDC37.3F3.
F11.3F.3F$F.F.F.F36.3C38.F3.3F11.F3.F$F.F.3F37.C39.3F15.3F.F2$3F.3F
37.D39.3F.F13.3F.3F$F.F.F38.C2D40.F.F15.F.F.F$3F.F37.DCFDC37.3F.3F11.
3F.3F$F.F.F38.D2C38.F3.F.F11.F5.F$F.F.3F37.C39.3F.F.F11.3F3.F2$3F.2F
38.D39.3F.3F11.3F.3F$F.F.F.F36.3D40.F2.F14.F.F$3F.F.F35.2CFDC37.3F2.F
12.3F.F$F.F.F.F36.3C38.F4.F12.F3.F$F.F.2F38.D39.3F.3F11.3F.F!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3310
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby Hdjensofjfnen » February 10th, 2019, 4:50 pm

When I saw your post I thought of this instantly:
x = 5, y = 5, rule = B/S012345678
2bo$2bo$2ob2o$2bo$2bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
User avatar
Hdjensofjfnen
 
Posts: 1140
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » February 11th, 2019, 7:57 am

The two patterns, I believe:
x = 3, y = 4, rule = isoplus-B3cmouiukuoupuqutuw/S2cjnqtun3cmouiukuoupuqutuw
bo$o$bo$obo!


x = 1, y = 1, rule = isoplus-B1-e3cmouiukuoupuqutuw5cuiumupvevjvkvlvwyr7ewo/S1-e3cmouiukuoupuqutuw5cuiumupvevjvkvlvwyr7ewo
o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3310
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » February 11th, 2019, 12:15 pm

A c/2 diagonal spaceship that beats the one currently in 5s. However, this one is likely trivial, since it's obviously based on the existing smaller c/2 orthogonal but rotated:

x = 2, y = 3, rule = isoplus-B2c3cup/S2jq
obo2$o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
Posts: 3310
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » February 11th, 2019, 4:10 pm

A fourth version of the notation is now here. All instances of f, k and l have been removed to allow for easier compatibility with the BSFKL rulespace.

x = 150, y = 809, rule = bs012345678History
38.D71.C$37.3D69.3C$36.2DF2D67.2CF2C$37.3D69.3C$38.D71.C2$2.3F18.3F
18.D5.D5.D5.D5.D5.D5.C5.C5.C5.C5.C18.3F13.3F$4.F20.F17.3D3.3D3.3D3.3D
3.C2D3.2CD3.D2C3.3C3.3C3.3C3.3C19.F15.F$2.3F18.3F16.2DF2D.2DF2D.DCF2D
.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.CDF2C.2CF2C.2CF2C16.3F13.3F$2.F.F18.F.
F17.3D3.2CD3.2CD3.3C3.3C3.3C3.3D3.3D3.2DC3.2DC3.3C17.F.F13.F.F$2.3F
18.3F18.C5.D5.D5.D5.D5.D5.C5.C5.C5.C5.D18.3F13.3F2$2.F20.F32.C5.C5.C
5.C5.D5.D5.D30.F.F.3F9.3F.3F$2.F20.F31.3D3.3D3.DCD3.D2C3.CDC3.3C3.3C
29.F.F3.F10.F4.F$2.3F18.3F28.2DF2D.2DFCD.2DFCD.2DFCD.2CFDC.2CFDC.2CF
2C28.F.F.3F10.F2.3F$2.F.F18.F.F29.D2C3.D2C3.D2C3.D2C3.C2D3.C2D3.C2D
29.F.F.F.F10.F2.F.F$2.3F18.3F30.D5.D5.D5.D5.C5.C5.C30.3F.3F10.F2.3F2$
23.3F18.D5.D5.D5.D5.D5.C5.C5.C5.C5.C5.C18.3F13.3F$2.3F18.F19.3D3.3D3.
C2D3.CDC3.CDC3.CDC3.DCD3.DCD3.D2C3.3C3.3C17.F15.F$2.F20.F18.2DF2D.2DF
2D.2DF2D.2DF2D.2DF2D.2DF2D.2CF2C.2CF2C.2CF2C.2CF2C.2CF2C16.F15.F$2.3F
18.F19.2DC3.CDC3.CDC3.CDC3.CDC3.CDC3.DCD3.DCD3.DCD3.DCD3.2CD17.F15.F$
23.3F18.D5.D5.D5.D5.C5.C5.D5.C5.C5.C5.C18.3F13.3F2$4.F20.F30.C5.C5.C
5.C5.D5.D5.D30.F.F.3F9.3F.3F$4.F20.F29.3D3.3D3.3D3.DCD3.3C3.3C3.3C29.
F.F.F12.F2.F$2.3F18.3F28.DCF2D.DCF2D.DCF2D.DCF2D.CDF2C.CDF2C.CDF2C28.
F.F.F12.F2.F$2.F.F18.F.F29.DCD3.DCD3.2CD3.2CD3.2DC3.CDC3.CDC29.F.F.F
12.F2.F$2.3F18.3F30.D5.C5.C5.C5.D5.D5.C30.3F.3F10.F2.3F2$2.3F18.3F18.
D5.D5.D5.D5.D5.D5.C5.C5.C5.C5.C18.3F13.3F$2.F.F18.F.F17.3D3.3D3.DCD3.
DCD3.DCD3.2CD3.CDC3.CDC3.CDC3.3C3.3C17.F.F13.F.F$2.3F18.3F16.2DF2D.DC
F2D.DCF2D.DCFCD.DCFCD.DCFCD.CDFDC.CDFDC.CDF2C.CDF2C.2CF2C16.3F13.3F$
2.F20.F19.DCD3.DCD3.DCD3.DCD3.D2C3.D2C3.C2D3.CDC3.CDC3.CDC3.CDC17.F
15.F$2.3F18.3F18.D5.D5.D5.D5.D5.D5.C5.C5.C5.C5.C18.3F13.3F2$3.2F19.2F
30.D5.D5.D5.C5.C5.C5.C31.2F13.3F.3F$3.F20.F30.2DC3.2DC3.D2C3.D2C3.C2D
3.2CD3.2CD30.F15.F2.F.F$2.3F18.3F28.2DF2D.2DF2D.2DF2D.2DF2D.2CF2C.2CF
2C.2CF2C28.3F14.F2.3F$3.F20.F30.DCD3.D2C3.D2C3.D2C3.C2D3.C2D3.CDC30.F
15.F2.F$2.2F19.2F31.C5.C5.C5.C5.D5.D5.D30.2F15.F2.3F2$2.3F51.C5.C5.C
5.C5.D5.D5.D30.F.F.3F9.3F.3F$2.F.F18.3F29.C2D3.C2D3.C2D3.CDC3.D2C3.D
2C3.D2C29.F.F.F.F10.F3.F$2.3F20.F28.2DF2D.DCF2D.DCF2D.DCF2D.CDF2C.CDF
2C.2CF2C28.F.F.3F10.F3.F$4.F18.3F29.DCD3.DCD3.DCD3.DCD3.CDC3.CDC3.CDC
29.F.F.F12.F3.F$2.3F51.D5.D5.C5.C5.D5.C5.C30.3F.3F10.F2.3F2$2.F20.F
32.D5.D5.C5.C5.D5.C5.C30.F.F2.2F9.3F.3F$2.F20.F31.2DC3.D2C3.D2C3.D2C
3.C2D3.C2D3.2CD29.F.F2.F11.F3.F$2.3F18.3F28.2DFDC.2DFDC.2DFDC.2DFDC.
2CFCD.2CFCD.2CFCD28.F.F.3F10.F3.F$2.F.F18.F.F29.DCD3.DCD3.DCD3.DCD3.C
DC3.CDC3.CDC29.F.F2.F11.F3.F$2.F.F18.F.F30.D5.D5.D5.C5.C5.C5.C30.3F.
2F11.F2.2F2$3.F19.3F24.D5.D5.D5.D5.D5.C5.C5.C5.C24.3F13.3F$24.F24.DCD
3.3D3.3D3.2CD3.3C3.2DC3.DCD3.3C3.CDC24.F15.F$3.F20.F23.2DF2D.2DF2D.DC
FCD.DCF2D.2DF2D.CDF2C.CDFDC.2CF2C.2CF2C23.F15.F$3.F20.F24.DCD3.3C3.CD
C3.2CD3.3C3.2DC3.3C3.3D3.CDC24.F15.F$3.F19.3F24.D5.D5.D5.D5.D5.C5.C5.
C5.C24.3F13.3F2$4.F18.3F24.C5.D5.D5.D5.C5.C5.C5.C5.D24.3F13.3F$24.F
24.3D3.2DC3.2DC3.2DC3.DCD3.2CD3.2CD3.2CD3.3C24.F15.F$4.F19.F23.CDF2D.
2DFCD.DCFCD.DCFCD.CDFDC.CDFDC.CDFDC.2CFDC.DCF2C23.F15.F$4.F19.F24.3D
3.DCD3.DCD3.2CD3.2DC3.2DC3.CDC3.CDC3.3C24.F15.F$2.3F18.2F25.D5.D5.D5.
D5.C5.C5.C5.C5.C24.2F14.2F2$23.F.F24.D5.D5.D5.D5.C5.C5.C5.C5.C24.F.F
13.3F.5F$2.F.F18.F.F23.C2D3.DCD3.CDC3.CDC3.DCD3.DCD3.DCD3.CDC3.D2C23.
F.F14.F2.F.F.F$2.2F19.2F23.2DF2D.DCF2D.DCF2D.DCF2D.2DF2C.CDF2C.CDF2C.
CDF2C.2CF2C22.2F15.F2.F.F.F$2.F.F18.F.F23.DCD3.2DC3.DCD3.CDC3.DCD3.DC
D3.CDC3.2CD3.CDC23.F.F14.F2.F.F.F$23.F.F24.D5.D5.D5.D5.C5.C5.C5.C5.C
24.F.F14.F2.F.F.F2$2.F20.F32.D5.C5.C5.D5.D5.D5.C30.F15.3F.3F$2.F20.F
31.DCD3.DCD3.DCD3.CDC3.CDC3.CDC3.CDC29.F16.F2.F.F$2.F20.F30.2DF2D.2DF
2D.2DF2D.2CFCD.2CF2C.2CF2C.2CF2C28.F16.F2.F.F$2.F.F18.F31.DCD3.DCD3.D
2C3.C2D3.C2D3.CDC3.CDC29.F16.F2.F.F$2.3F18.3F30.C5.C5.C5.D5.D5.D5.D
30.3F14.F2.F.F2$22.5F29.C5.D5.D5.C5.C5.C5.D29.5F12.3F.3F$.5F16.F.F.F
28.3D3.CDC3.3C3.3C3.3D3.DCD3.3C28.F.F.F13.F2.F.F$.F.F.F16.F.F.F27.CDF
DC.CDFDC.CDFDC.CDFDC.DCFCD.DCFCD.DCFCD27.F.F.F13.F2.F.F$.F.F.F16.F.F.
F28.3D3.3D3.3D3.3D3.3C3.3C3.3C28.F.F.F13.F2.F.F$22.F.F.F29.D5.D5.D5.D
5.C5.C5.C29.F.F.F13.F2.3F2$2.3F18.3F24.D5.D5.D5.D5.D5.C5.C5.C5.C24.3F
13.3F$2.F.F18.F.F23.C2D3.3D3.C2D3.C2D3.2CD3.D2C3.D2C3.3C3.D2C23.F.F
13.F.F$2.F.F18.F.F22.2DF2D.DCF2D.DCF2D.DCFCD.DCFCD.CDFDC.CDF2C.CDF2C.
2CF2C22.F.F13.F.F$2.F.F18.F.F23.2DC3.CDC3.CDC3.CDC3.CDC3.DCD3.DCD3.DC
D3.2CD23.F.F13.F.F$2.F.F18.F.F24.D5.D5.D5.D5.D5.C5.C5.C5.C24.F.F13.F.
F2$23.3F30.D5.D5.C5.D5.D5.C5.C30.3F13.3F$2.3F18.F.F29.3D3.DCD3.DCD3.D
CD3.CDC3.CDC3.3C29.F.F13.F.F$2.F.F18.F.F28.2DF2D.2DF2D.2DF2D.DCFCD.2C
F2C.2CF2C.2CF2C28.F.F13.F.F$2.3F18.F.F29.CDC3.CDC3.CDC3.CDC3.DCD3.DCD
3.DCD29.F.F13.F.F$23.3F30.C5.C5.C5.C5.D5.D5.D30.3F13.3F2$2.3F18.3F30.
D5.D5.D5.C5.C5.C5.C30.3F13.3F$2.F.F18.F.F29.3D3.3D3.DCD3.C2D3.CDC3.3C
3.3C29.F.F13.F.F$2.2F19.3F28.2DFCD.2DFCD.2DFCD.2CFDC.2CFDC.2CFDC.2CFD
C28.3F13.3F$2.F20.F31.DCD3.D2C3.D2C3.C2D3.C2D3.C2D3.CDC29.F15.F$2.F
20.F32.C5.C5.C5.D5.D5.D5.D30.F15.F2$2.3F18.3F24.D5.D5.D5.D5.C5.C5.C5.
C5.C24.3F13.3F$2.F.F18.F.F23.3D3.2CD3.2CD3.2CD3.3D3.2DC3.2DC3.2DC3.3C
23.F.F13.F.F$2.3F18.3F22.2DF2D.2DF2D.DCF2D.DCF2D.CDF2C.CDF2C.CDF2C.2C
F2C.2CF2C22.3F13.3F$4.F20.F23.2DC3.2DC3.2DC3.CDC3.DCD3.DCD3.2CD3.2CD
3.2CD25.F15.F$4.F20.F24.C5.D5.D5.D5.C5.C5.C5.C5.D26.F15.F2$2.3F18.3F
24.D5.D5.D5.D5.C5.C5.C5.C5.C24.3F13.3F$2.F20.F25.3D3.D2C3.D2C3.2CD3.
3D3.2DC3.C2D3.C2D3.3C23.F15.F$2.F20.F24.2DFCD.2DF2D.2DFCD.DCFCD.CDFDC
.CDFDC.2CFDC.2CF2C.2CFDC22.F15.F$2.F20.F25.3D3.DCD3.DCD3.C2D3.D2C3.D
2C3.CDC3.CDC3.3C23.F15.F$2.F20.F26.C5.D5.D5.D5.C5.C5.C5.C5.D24.F15.F
2$3.2F18.3F30.C5.C5.C5.C5.D5.D5.D30.F.F.3F9.3F.3F$2.F20.F31.3D3.C2D3.
C2D3.C2D3.D2C3.D2C3.3C29.F.F2.F11.F2.F.F$3.F19.3F28.2DF2D.2DF2D.CDF2D
.CDFDC.DCF2C.2CF2C.2CF2C28.F.F2.F11.F2.3F$4.F20.F29.2DC3.2DC3.2DC3.2D
C3.2CD3.2CD3.2CD29.F.F2.F11.F2.F$2.2F19.3F30.C5.C5.C5.C5.D5.D5.D30.3F
.3F10.F2.F2$2.F20.F26.C5.D5.D5.D5.C5.C5.C5.C5.D24.F15.3F.3F$2.F20.F
25.3D3.3D3.3C3.3C3.3C3.3D3.3D3.3C3.3C23.F16.F2.F.F$2.3F18.3F22.2DF2D.
DCFCD.2DF2D.2DF2D.2DF2D.2CF2C.2CF2C.CDFDC.2CF2C22.3F14.F2.3F$2.F20.F
25.3D3.3D3.DCD3.DCD3.DCD3.CDC3.CDC3.3C3.3C23.F16.F4.F$2.3F18.3F24.C5.
C5.D5.C5.C5.D5.C5.D5.D24.3F14.F4.F2$23.F.F30.D5.D5.C5.C5.D5.C5.C30.F.
F.3F9.3F.3F$2.F.F18.F.F29.3D3.3D3.3D3.3D3.3C3.3C3.3C29.F.F2.F11.F2.F$
2.F.F18.F.F28.2DFDC.2DFDC.2DFDC.CDFDC.2CFCD.2CFCD.2CFCD28.F.F2.F11.F
2.F$2.3F18.F.F29.D2C3.3C3.3C3.3C3.3D3.3D3.C2D29.F.F2.F11.F2.F$23.3F
30.D5.D5.D5.D5.C5.C5.C30.3F.2F11.F2.F2$23.F.F.3F26.C5.C5.C5.C5.D5.D5.
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49.F3.F9.F3.F.F$F.F20.3F.3F44.D48.3F.3F9.3F.3F2$3F.3F16.F.F.F.F44.C
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.F.F.F43.CDC49.F3.F11.F.F.F$3F.3F16.3F.F.F42.2DF2D46.3F.3F9.3F.3F$F.F
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3F9.3F.3F$F.F.F18.F.F.F.F43.CDC49.F.F.F11.F2.F$3F2.F17.3F2.F43.2DF2D
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F.F43.DCD47.F3.F.F.F7.F3.F$F.F.3F16.3F.3F44.C48.3F.F.F.F7.3F.F2$3F.2F
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.F11.F.F.F$3F.2F17.3F3.F42.2DFDC46.3F.3F9.3F.F.F$F.F.F.F16.F3.3F43.3C
47.F3.F11.F3.F.F$F.F.3F16.3F48.C48.3F.F11.3F2.F2$3F.3F16.3F.F46.D48.
3F.3F9.3F.F.F.F$F.F.F20.F.F45.C2D49.F.F.F11.F.F.F.F$3F.F18.3F.3F42.DC
FDC46.3F.3F9.3F.F.F.F$F.F.F18.F3.F.F43.D2C47.F5.F9.F3.F.F.F$F.F.3F16.
3F.F.F44.C48.3F3.F9.3F.5F2$3F.2F17.3F.3F44.D48.3F.3F9.3F.F.F$F.F.F.F
18.F2.F44.3D49.F.F13.F.F.F$3F.F.F16.3F2.F43.2CFDC46.3F.F11.3F2.F$F.F.
F.F16.F4.F44.3C47.F3.F11.F3.F.F$F.F.2F17.3F.3F44.D48.3F.F11.3F.F.F!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » February 23rd, 2019, 6:16 pm

Would anyone like to propose any better notations for these rules? If not, the fourth notation will be declared canonical in 26 hours from this post.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby 2718281828 » February 23rd, 2019, 7:07 pm

I don't have a new proposal - but I think that the actual notation is not very handy.
Suppose a rule string B/S4xxa - we don't know if this is in fact B/S(x)(xa)or B/S(xx)(a) - unless we force the ordering. Then the latter rule is B/S(a)(xx) and B/S4xxa corresponds to B/S(x)(xa). But this requires that the user always inputs the canonical form.

I personally like it to input in golly a rulestring like B3/S24wazi which is automatically turned into B3/S24aiwz. It would be nice to preserve such a property in the considered rulespace. But I am not sure if this is feasible.
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Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby Moosey » February 23rd, 2019, 7:26 pm

how about the default notation is that the 2-character notations are in parentheses? That or we could break them up with periods or something.
My rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
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Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby AforAmpere » February 23rd, 2019, 7:54 pm

We just had a conversation on Discord that might make this a lot easier to use.
For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions on the NT article on the wiki. Then take the outside, and depending on the configurations below, add that letter:

x = 13, y = 110, rule = LifeHistory
2.D5.3F$.3D6.F$2DF2D3.3F$.3D4.F.F$2.D5.3F3$2.C5.3F$.3D4.F$2DF2D3.F$.
3D4.F$2.D5.3F3$2.D5.2F$.3D4.F.F$2DFDC3.F.F$.3D4.F.F$2.D5.2F3$2.D5.3F$
.3D4.F$2DF2D3.2F$.3D4.F$2.C5.3F3$2.D5.3F$.3D4.F$CDF2D3.2F$.3D4.F$2.D
5.F3$2.C5.3F$.3D4.F$2DFDC3.F.F$.3D4.F.F$2.D5.3F3$2.D5.3F$.3D5.F$2DFDC
4.F$.3D5.F$2.C5.3F3$2.D7.F$.3D6.F$CDF2D5.F$.3D4.F.F$2.C5.3F3$2.C5.F.F
$.3D4.F.F$CDF2D3.2F$.3D4.F.F$2.D5.F.F3$2.C5.F$.3D4.F$2DF2D3.F$.3D4.F$
2.C5.3F3$2.D5.5F$.3D4.F.F.F$CDFDC3.F.F.F$.3D4.F.F.F$2.D5.F.F.F3$2.C5.
3F$.3D4.F.F$2DFDC3.F.F$.3D4.F.F$2.C5.F.F3$2.D5.3F$.3D4.F.F$CDFDC3.F.F
$.3D4.F.F$2.C5.3F3$2.C5.3F$.3D4.F.F$CDF2D3.3F$.3D4.F$2.C5.F3$2.C5.3F$
.3D4.F.F$CDFDC3.3F$.3D6.F$2.D7.F3$2.C5.3F$.3D4.F$CDFDC3.F$.3D4.F$2.C
5.F!

An example would be:
x = 5, y = 5, rule = LifeHistory
2.C$.DCD$2CFDC$.2DC$2.C!

This is transition 3kr. For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically. For instance, both of the two following are the same transition:
x = 13, y = 5, rule = LifeHistory
2.C7.D$.CDC5.CDC$2CFCD3.DCF2C$.CDC5.CDC$2.D7.C!

This by rule goes to 6ii instead of 6ik. For use in an actual string, Milo Jacquet proposed using 'x' after a totalistic number. An example rulestring would be something like 'B3x2ic1ei5x-3kr/S0x8x'. Parsing and looking for transitions would be easy, and figuring out what a transition is without having to look at a table constantly would become possible.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » March 30th, 2019, 12:17 pm

For the internal 8 cells, I've created a new notation. I've avoided d, for deficient rules, abc, since these represent 10, 11 and 12 in the upcoming LifeViewer triangular rule notation, fkl, for BSFKL, and g since this is used for Generations.

x = 34, y = 83, rule = LifeHistory
7.D$6.3D$5.2DF2D$6.3D$7.D2$.3F15.D5.D5.D$.F.F14.3D3.3D3.3D$.3F13.2DF
2D.DCF2D.DCF2D$.F16.2CD3.2CD3.3C$.F17.D5.D5.D2$13.D5.D5.D5.D$.F.F8.3D
3.3D3.C2D3.CDC$2.F8.2DF2D.2DF2D.2DF2D.2DF2D$.F.F8.2DC3.CDC3.CDC3.CDC$
13.D5.D5.D5.D2$.3F9.D5.D5.D5.D$.F.F8.3D3.3D3.DCD3.DCD$.3F7.2DF2D.DCF
2D.DCF2D.DCFCD$.F10.DCD3.DCD3.DCD3.DCD$.3F9.D5.D5.D5.D2$2.F16.D5.D5.D
$18.DCD3.3D3.3D$2.F14.2DF2D.2DF2D.DCFCD$2.F15.DCD3.3C3.CDC$2.F16.D5.D
5.D2$.F.F15.D5.D5.D$.F.F14.C2D3.DCD3.CDC$.F.F13.2DF2D.DCF2D.DCF2D$.F.
F14.DCD3.2DC3.DCD$2.F16.D5.D5.D2$.3F15.D5.D5.D$.F.F14.C2D3.3D3.C2D$.F
.F13.2DF2D.DCF2D.DCF2D$.F.F14.2DC3.CDC3.CDC$.F.F15.D5.D5.D2$3.F21.D5.
D$24.2DC3.2DC$3.F19.2DFCD.DCFCD$3.F20.DCD3.DCD$.3F21.D5.D2$.3F21.D5.D
$.F.F20.2CD3.2CD$.3F19.2DF2D.DCF2D$3.F20.2DC3.2DC$3.F21.D5.D2$.3F21.D
5.D$.F22.D2C3.D2C$.F21.2DF2D.2DFCD$.F22.DCD3.DCD$.F23.D5.D2$.F.F21.D
5.D$.F.F20.CDC3.CDC$.3F19.2DF2D.2DF2D$3.F20.DCD3.2CD$.3F21.D5.D2$31.D
$5F25.3C$F.F.F24.2DF2D$F.F.F25.DCD$31.D2$31.D$F.F.F25.C2D$F.F.F24.DCF
2D$5F25.D2C$31.D2$.2F28.D$3.F26.2CD$2.F26.2DF2D$.F28.D2C$2.2F27.D!


I'll attempt the outer 4 cells later. (Although, in all honesty, wouldn't it be a better idea to use the same notation for the 4 cells touching the cell orthogonal, the 4 diagonally, and the 4 on the outside each?)
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby AforAmpere » March 30th, 2019, 12:26 pm

Why do we need a new notation for the inside 8 cells? We aren't going to change the NT notation, so why not use it for the inside?
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby muzik » March 30th, 2019, 12:48 pm

AforAmpere wrote:Why do we need a new notation for the inside 8 cells? We aren't going to change the NT notation, so why not use it for the inside?

So non-totalisitc BSFKL and deficient rules can be supported with this neighbourhood?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik
 
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Location: Scotland

Re: Range-2 von Neumann isotropic non-totalistic rulespace

Postby AforAmpere » March 30th, 2019, 12:51 pm

muzik wrote:
AforAmpere wrote:Why do we need a new notation for the inside 8 cells? We aren't going to change the NT notation, so why not use it for the inside?

So non-totalisitc BSFKL and deficient rules can be supported with this neighbourhood?

Again, the NT notation is not going to change, so changing it here doesn't really make sense.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
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