Novel Recurrence Relations for Volumes and Surfaces of <i>n</i>-Balls, Regular <i>n</i>-Simplices, and <i>n</i>-Orthoplices in Real Dimensions

Novel Recurrence Relations for Volumes and Surfaces of <i>n</i>-Balls, Regular <i>n</i>-Simplices, and <i>n</i>-Orthoplices in Real Dimensions

This study examines <i>n</i>-balls, <i>n</i>-simplices, and <i>n</i>-orthoplices in real dimensions using novel recurrence relations that remove the indefiniteness present in known formulas. They show that in the negative, integer dimensions, the volumes of <i&...

Full description

Bibliographic Details
Main Author: Szymon Łukaszyk
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
regular convex polytopes
negative dimensions
fractal dimensions
complex dimensions
Online Access:https://www.mdpi.com/2227-7390/10/13/2212

Internet

https://www.mdpi.com/2227-7390/10/13/2212

Similar Items