Nested Regular Polygons

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This Demonstration shows an interesting nesting of successive regular polygons, starting with an equilateral triangle up to a chosen -gon. If the side length of the triangle is 1, can you show that the side of the square is equal to (approximately 0.966) and that the side of the pentagon equals (approximately 0.905)?

Contributed by: Jaime Rangel-Mondragon (July 2011)
Open content licensed under CC BY-NC-SA


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