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Article Dans Une Revue The Electronic Journal of Combinatorics Année : 2022

Points and lines configurations for perpendicular bisectors of convex cyclic polygons

Résumé

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 a functional central limit theorem describing the shape of a large realizable configuration of points and lines taken uniformly at random among realizable configurations.
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Dates et versions

hal-02518173 , version 1 (25-03-2020)
hal-02518173 , version 2 (28-10-2022)

Identifiants

  • HAL Id : hal-02518173 , version 1

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Paul Melotti, Sanjay Ramassamy, Paul Thévenin. Points and lines configurations for perpendicular bisectors of convex cyclic polygons. The Electronic Journal of Combinatorics, 2022, 29 (1), pp.P1.59. ⟨hal-02518173v1⟩
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