2019•arXiv (Cornell University)Open access

Constant diameter and constant width of spherical convex bodies

Huhe Han, Denghui Wu

Abstract

In this paper we show that a spherical convex body $C$ is of constant diameter $τ$ if and only if $C$ is of constant width $τ$, for $0

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About this research paper

In this paper we show that a spherical convex body $C$ is of constant diameter $τ$ if and only if $C$ is of constant width $τ$, for $0

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In this paper we show that a spherical convex body $C$ is of constant diameter $τ$ if and only if $C$ is of constant width $τ$, for $0

Key concepts: Constant (computer programming), Convex body, Regular polygon, Geometry, Mathematics, Physics, Mathematical analysis, Convex hull