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arXiv · 2601.00899

Polygons in Polygons with a Twist

James M Parks
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Abstract

This is a study of the construction of particular regular sub-n-gons T in regular n-gons P using a special system of chords of P. In particular, some of these sub-n-gons have areas which are integer divisors of the area of the given n-gon P. Initially, the study will concentrate on chords which are from a vertex to special points of one of the opposite sides of P. Several examples are explored. However, it will become apparent that a much more general situation exists. Dynamic Geometry software is the key to investigating this new relationship.

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James M Parks. 2025-12-31. Polygons in Polygons with a Twist. https://arxiv.org/abs/2601.00899

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