Order 6 rotations, reflections and 6-pt star
We still many 165 tilings to consider, so we need to consider
another property to reduce the options.
We consider the presence of other star polygons apart from
the 6-pointed star which is present.
The first group contains an additional star. This could include
a star with two points - a diamond (all four edges have the same length).
Look carefully for this as they are easy to miss.
An example such tiling is:
The remaining group have only a 6-pointed star polygon.
Note that the tiling could contain other regular polygons.
An example of such a tiling is:
Now you must choose:
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