论文标题

凸环多边形的垂直双分配器的点和线配置

Points and lines configurations for perpendicular bisectors of convex cyclic polygons

论文作者

Melotti, Paul, Ramassamy, Sanjay, Thévenin, Paul

论文摘要

我们表征将n个点放在圆上并绘制相应凸环循环n-gon侧面的N垂直双分配器时可能出现的点和线的拓扑配置。我们还提供了描述可随机实现配置的精确和渐近公式,该配置是通过在圆上随机采样点或通过随机对可实现的构型进行采样而获得的。

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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