Re: Cellular Automata in Hyperbolic Space
Posted: October 27th, 2025, 8:17 pm
yes, in fact there are now 2 examples of this behaviourR2INT wrote: October 27th, 2025, 8:10 pm In hyperbolic space, it is possible for a moving replicator to replicate endlessly without interfering with itself.
example1:
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B2aho/S1ho2a X X0a X1aCode: Select all
B2ampx3m/S0a3c X3a X0 X1aedit:
i don't think all of these work as symmetries
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permute (OT)
rotate37 (minimum symmetry)
rotate37reflectx (reflect on hexagons only) might not work (MNW)
rotate37reflectp (reflect on heptagons only) MNW
rotate37reflect (isotropic)
rotate67 (psuedo symmetry)
rotate67reflectx MNW
rotate67reflectp MNW
rotate67reflect