Work

A new family of constant width bodies obtained from Reuleaux polyhedra

Year: 2026

Type: preprint

Abstract: We give a construction of a body of constant width from a unit Reuleaux polyhedron that preserves all its symmetries. As opposed to the Meissner surgery, our construction modifies both edges of each dual pair and requires no choice between them. For the Reuleaux tetrahedron it recovers a previously known body of constant width with six elliptic edges and tetrahedral symmetry.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.16997

Authors: Mercado-Flores, Marcela G., Roldán-Pensado, Edgardo

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221747501

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