Existence and uniqueness theorem for a 3-dimensional polytope in R with prescribed directions and perimeters of the facets
Résumé
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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