# Mechanism for Constructing Regular Polygons

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This Demonstration shows a hinged mechanism for constructing regular -gons, . The mechanism is constructed as follows. The fixed hinges are at , , , , , , and , while the hinges at and slide along and respectively, and is the midpoint of . The mechanism contains congruent parallelograms and and two isosceles trapezoids and . This ensures that the sides , , , and have the same length and that angles , , and are equal.

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Contributed by: Izidor Hafner (November 2012)

Open content licensed under CC BY-NC-SA

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Reference

[1] B. A. Kordemsky, *The Moscow Puzzles*, London: Penguin Books, 1990, pp. 79–81.

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