Meissner Polyhedra
Luis Montejano, Edgardo Rold\'an-Pensado
TL;DR
This paper presents a new method for constructing three-dimensional bodies of constant width using embeddings of self-dual graphs, contributing to geometric shape theory.
Contribution
It introduces a novel construction technique for bodies of constant width based on embeddings of self-dual graphs in three dimensions.
Findings
New construction method for bodies of constant width
Utilizes embeddings of self-dual graphs
Advances understanding of geometric bodies in 3D
Abstract
In this paper we develop a concrete way to construct bodies of constant width in dimension three. They are constructed from special embeddings of self-dual graphs.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Advanced Materials and Mechanics · Mathematics and Applications