Wolfram Demonstrations Project

Choose the sides of a polygon according to the digits of a constant in base

. Reflect a point iteratively in those sides. If the figure chosen is a line or a polygon, join the points to form that kind of object.

Digit expansions of almost all real numbers show no structure. Despite this, due to the underlying symmetry of the

-gon, the graphics generated show some symmetry.

Contributed by: Michael Trott

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Selected Reflections in the Sides of a Regular Polygon