\(N\)-dimensional variations on themes of Pythagoras, Euclid, and Archimedes (Q1777527)

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.