Omnidimensional Convex Polytopes

Autor: Szymon Łukaszyk, Andrzej Tomski
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Symmetry, Vol 15, Iss 3, p 755 (2023)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym15030755
Popis: The study shows that the volumes and surfaces of n-balls, n-simplices, and n-orthoplices are holomorphic functions of n, which makes those objects omnidimensional, that is well defined in any complex dimension. Applications of these formulas to the omnidimensional polytopes inscribed in and circumscribed about n-balls reveal previously unknown properties of these geometric objects. In particular, for 0
Databáze: Directory of Open Access Journals
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