Three symbol cyclic and two symbol Thue-Morse

A three symbol 2-D cyclic system:

a -> [ a b; b c ], b -> [ b c; c a], c -> [ c a; a b ]

logically combined with the analogous Thue-Morse system:

a -> [ a b; b a ], b -> [ b a; a b ]

(right click for full image)

This system is a close relative of the Three symbol cyclic system, although my construction method is somewhat different.

It is also equivalent to the six symbol cyclic system:

a -> [ a b ],  b -> [ b c ],  c -> [ c d ],  d -> [ d e ],  e -> [ e f ],  f -> [ f a ]

followed by the substitutions:

a -> a', f -> a' 

b -> b', e -> b'

c -> c', d -> c'

 

 

This example has had a gaussian blur (FWHM = 1 px.) applied:

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