The tesselation:
I started to explore the binary tilling, which is defined as a tiling by Penrose rhombs, where at each vertex all angles are either in {pi/5, 3 pi/5}, or in {2 pi/5, 4 pi/5}. ('Binary' because the decorations were used to model binary alloys, i.e., alloys consisiting of two metallic elements).
http://tilings.math.uni-bielefeld.de/substitution_rules/binary
the matching rules for the tilling are:
every thin rhomb sharp angle attaches to every thick rhomb obtuse angle and vis versa.
every thin rhomb sharp angle attaches to every thick rhomb obtuse angle and vis versa.
the link shows you symetries within the tesselation
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