On the construction of regular polygons and generalized Napoleon vertices - Dimitris Vartziotis and Joachim Wipper

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    On the construction of regular polygons and generalized Napoleon vertices - Dimitris Vartziotis and Joachim Wipper

    An algebraic foundation for the derivation of geometric construction schemes transforming arbitrary polygons with n vertices into k-regular n-gons is given. It is based on circulant polygon transformations and the associated eigenpolygon decompositions leading to the definition of generalized Napoleon vertices. Geometric construction schemes are derived exemplarily for different choices of n and k.

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