The graphs behind reuleaux polyhedra

DOI10.1007/s00454-020-00220-0zbMath1450.05014arXiv1904.12761OpenAlexW3039131288MaRDI QIDQ2207609

Edgardo Roldán-Pensado, Eric Pauli, Miguel Raggi, Luis Montejano

Publication date: 23 October 2020

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12761

zbMATH Keywords

constant width bodiesMeissner solidsreuleaux polyhedronself-dual planar graphs

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (1)

Strongly involutive self-dual polyhedra

Uses Software

• plantri

Cites Work

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• Ball polytopes and the Vázsonyi problem
• Kneser's conjecture, chromatic number, and homotopy
• Rigidity of ball-polyhedra in Euclidean 3-space
• Consistency in networks of relations
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• Meissner polyhedra
• The 24 symmetry pairings of self-dual maps on the sphere
• Self-dual graphs
• Ball-polyhedra
• On the three-dimensional Blaschke-Lebesgue problem
• The Rigidity of Graphs
• Bodies of Constant Width
• Reuleaux polytopes

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