Order 6 rotations, reflections but no 6-pt star
There are still 216 tiling to choose from. Hence another
choice must be made. We use the presence of (regular)
triangles and hexagons.
The first group are those with triangles (which may have
hexagons in addition). An example of such a tiling is:
The second group are those with (regular) hexagon, but
no equilateral triangles.
Now you must choose:
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