Geodesic
Points and lines configurations for perpendicular bisectors of convex cyclic polygons
Paul Melotti1 ; Sanjay Ramassamy2 ; Paul Thévenin3
1Université Paris-Saclay
2Université Paris-Saclay, CNRS, CEA
3Uppsala University
The electronic journal of combinatorics, Tome 29 (2022) no. 1
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Zbl DOI arXiv
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.
DOI : 10.37236/9957
Classification : 05B30, 05A15, 60C05, 60B05
Mots-clés : random realizable configuration

Paul Melotti  1   ; Sanjay Ramassamy  2   ; Paul Thévenin  3

1 Université Paris-Saclay
2 Université Paris-Saclay, CNRS, CEA
3 Uppsala University 
Paul Melotti; Sanjay Ramassamy; Paul Thévenin. Points and lines configurations for perpendicular bisectors of convex cyclic polygons. The electronic journal of combinatorics, Tome 29 (2022) no. 1. doi: 10.37236/9957
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