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Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces? Full article

Journal Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
ISSN: 0025-5858 , E-ISSN: 1865-8784
Output data Year: 2018, Volume: 88, Number: 1, Pages: 247-254 Pages count : 8 DOI: 10.1007/s12188-017-0189-y
Tags Analytic set; Convex polyhedron; Euclidean space; Perimeter of a face
Authors Alexandrov Victor 1,2
Affiliations
1 Sobolev Institue of Mathematics
2 Novosibirsk State University
Cite: Alexandrov V.
Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces?
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. 2018. V.88. N1. P.247-254. DOI: 10.1007/s12188-017-0189-y WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000430046800014
Scopus: 2-s2.0-85037700657
OpenAlex: W2737893801
Citing:
DB Citing
Scopus 1
Web of science 1
OpenAlex 1
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