The density of Meissner polyhedra

DOI10.1007/S10711-024-00933-ZzbMATH Open1546.52001MaRDI QIDQ6592122

Ryan Hynd

Publication date: 24 August 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Three-dimensional polytopes (52B10) Metric geometry (51F99) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Cites Work

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• Ball polytopes and the Vázsonyi problem
• Meissner's mysterious bodies
• Über konvexe Punktmengen konstanter Breite.
• Konvexe Bereiche gegebener konstanter Breite und kleinsten Inhalts.
• Drei Gipsmodelle von Flächen konstanter Breite.
• Meissner polyhedra
• Reconstruction of a plane convex body from the curvature of its boundary
• The graphs behind reuleaux polyhedra
• On a formula for sets of constant width in 2D
• Ball-polyhedra
• Sets of constant width in finite dimensional Banach spaces
• Bodies of Constant Width
• Reuleaux polytopes

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