Multiple Reflections of a Regular Polygon in Its Sides

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Reflecting a square in its sides once gives a cross. Reflecting it repeatedly in all the new sides starts to fill out a grid. Equilateral triangles and regular hexagons give the expected triangular grid and honeycomb pattern. See what happens for the other regular polygons.

Contributed by: George Beck (July 2016)
Open content licensed under CC BY-NC-SA


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