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A Theory of Nets for Polyhedra and Polytopes Related to Incidence Geometries
Authors:Sabine Bouzette  Francis Buekenhout  Edmond Dony  Alain Gottcheiner
Affiliation:(1) Université Libre de Bruxelles, C. P. 216, Bd du Triomphe, B-1050, Bruxelles
Abstract:Our purpose is to elaborate a theory of planar nets or unfoldings for polyhedra, its generalization and extension to polytopes and to combinatorial polytopes, in terms of morphisms of geometries and the adjacency graph of facets.
Keywords:net  polytope  incidence geometry  prepolytope  category
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