\(N\)-dimensional variations on themes of Pythagoras, Euclid, and Archimedes
type: Item
instance of: scholarly article
title: \(N\)-dimensional variations on themes of Pythagoras, Euclid, and Archimedes
zbMATH Open document ID: 1069.01003
DOI: 10.1007/BF02986751
author: Jean-Marc Lévy-Leblond
published in: The Mathematical Intelligencer
publication date: 2005-05-23T00:00:00Z
review text: The main -- and extremely actual -- idea on which the study of Jean-Marc Leblond is based refers to the revival of modern culture's interest in its part of new, modern, enriched interpretation and approaching of the old, historical source would undoubtedly contribute to the enrichment of humanity's actual heritage, the more to that the current -- especially computing -- technologies permit unprecedented, unthinkable extensions and analyses. A simple yet extremely expressive sentence of the study should be cited here. ``Without a past, we lose the future''. The greatest names of humanity's culture and civilization along its whole, millenary existence, are mentioned in this respect: Euripides, Shakespeare, Giotto, Cervantes, Michelangelo, Delacroix. The main exemplifications developed refer to: -- Pythagoras and the orthosimplex in \(N\) dimensions -- Euclid and the \(N\)-dimensional pyramid -- Archimedes and the \(N\)-dimensional sphere.
reviewed by: Cristina Irimia
Mathematics Subject Classification ID: 01A20
zbMATH DE Number: 2170566
zbMATH Keywords: \(n\)-dimensional variations
zbMATH Keywords: Pythagoras
zbMATH Keywords: Euclid
zbMATH Keywords: Archimedes
zbMATH Keywords: orthosimplex
zbMATH Keywords: pyramid
zbMATH Keywords: sphere
zbMATH Keywords: dimensionality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02986751
OpenAlex ID: W2066770030
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description: scientific article; zbMATH DE number 2170566