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… Click to show full abstract
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
Keywords:
volumes surfaces;
convex polytopes;
omnidimensional convex
Journal Title: Symmetry
Year Published: 2023
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Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!