Selected Reflections in the Sides of a Regular Polygon

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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.

Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA


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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.



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