A Definition of Type Domain of a Parallelotope
https://doi.org/10.18255/1818-1015-2013-6-129-134
Abstract
Each convex polytope P = P(α) can be described by a set of linear inequalities determined by vectors p and right hand sides α(p). For a fixed set of vectors p, a type domain D(P₀) of a polytope P₀ and, in particular, of a parallelotope P₀ is defined as a set of parameters α(p) such that polytopes P(α) have the same combinatorial type as P₀ for all α ∈ D(P₀).
In the second part of the paper, a facet description of zonotopes and zonotopal parallelotopes are given.
The article is published in the author’s wording.
About the Author
V. P. Grishukhin
Central Economics and Mathematics Institute RAS
Russian Federation
Russian Federation
д-р физ.-мат. наук,
Nakhimovskii prosp., 47, Moscow, 117418, Russia
References
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Review
For citations:
Grishukhin V.P. A Definition of Type Domain of a Parallelotope. Modeling and Analysis of Information Systems. 2013;20(6):129-134. https://doi.org/10.18255/1818-1015-2013-6-129-134
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