Decomposability of polytopes and polyhedra
Copyright policy )Decomposability of polytopes and polyhedra
A polytope P is called decomposable if it is the algebraic sum of two non-trivial polytopes. Investigating the space of affine dependences (i.e. all vectors of coefficients summing to 0, and yielding a 0 linear combination) of the vertices of the dual polytope, several results concerning decomposability are obtained. E.g. for the case of 3-polytopes the following is shown: Let V and F denote the number of faces and vertices resp. of a 3-polytope P, then - if \(F
decomposability, Polytopes and polyhedra, Polyhedra and polytopes; regular figures, division of spaces, Convex sets in \(3\) dimensions (including convex surfaces), polyhedral sets, d-polytopes
decomposability, Polytopes and polyhedra, Polyhedra and polytopes; regular figures, division of spaces, Convex sets in \(3\) dimensions (including convex surfaces), polyhedral sets, d-polytopes
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