Misc,

A Theory of Spherical Diagrams

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(2021)cite arxiv:2107.05895Comment: 24 pages, 21 figures.

Abstract

We introduce an axiomatic theory of spherical diagrams as a tool to study certain combinatorial properties of polyhedra in $R^3$, which are of central interest in the context of Art Gallery problems for polyhedra and other visibility-related problems in discrete and computational geometry.

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