WOLFRAM|DEMONSTRATIONS PROJECT

Multiple Reflections of a Regular Polygon in Its Sides

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number of reflections, m =
0
1
2
n-gon, n =
5
edges
vertices
plot range
4.5
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.