Existence and uniqueness theorem for a 3-dimensional polytope in R with prescribed directions and perimeters of the facets - Archive ouverte HAL Access content directly
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Existence and uniqueness theorem for a 3-dimensional polytope in R with prescribed directions and perimeters of the facets

Abstract

We give a set of conditions that is necessary and sufficient for the existence and uniqueness up to translations of a 3-dimensional polytope P in R3 having N facets with given unit outward normal vectors n_1,...,n_N and corresponding facet perimeters L_1,...,L_N.
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Dates and versions

hal-02298368 , version 1 (26-09-2019)

Identifiers

  • HAL Id : hal-02298368 , version 1

Cite

Yves Martinez-Maure. Existence and uniqueness theorem for a 3-dimensional polytope in R with prescribed directions and perimeters of the facets. 2019. ⟨hal-02298368⟩
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