## Wanderer (reflections)

### Info

This Wanderer tiling is the first of an infinite series of substitution
tilings by Joan Taylor based on paper-folding sequences. It uses a single
square tile with four distinct rotations and two distinct reflections.
Here we use colours to distinguish left-handed (brown) from right-handed
(white) tiles. In the substitution rule the orientation of the tiles
is indicated by a line in the interior of the tiles. In the large
patch below these lines and all edges are omitted since the interesting
feature are the patterns produced by white resp. brown squares.

A relative of this tiling is the
Wanderer (rotations), where
tiles are not coloured according to left- vs right-handedness, but according
to horizontal vs vertical.

### Substitution Rule

### Patch