We look at the topology of the tiling space of locally random Fibonacci substitution, which is defined as a ↦ ba with probability p, a ↦ ab with probability 1-p and b ↦ a for 0
We present a methodology for constructing weavings from 2-colorings of the plane. In particular, we consider tilings T of the plane by triangles and their corresponding triangle groups G. We derive 2-colorings of T using the index 2 subgroups of G.
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