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arXiv · 2003.11006

Points and lines configurations for perpendicular bisectors of convex cyclic polygons

Paul Melotti·Sanjay Ramassamy·Paul Thévenin
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Abstract

We characterize the topological configurations of points and lines that may arise when placing n points on a circle and drawing the n perpendicular bisectors of the sides of the corresponding convex cyclic n-gon. We also provide exact and asymptotic formulas describing a random realizable configuration, obtained either by sampling the points uniformly at random on the circle or by sampling a realizable configuration uniformly at random.

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Paul Melotti, Sanjay Ramassamy, Paul Thévenin. 2022-03-23. Points and lines configurations for perpendicular bisectors of convex cyclic polygons. https://doi.org/10.37236/9957

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