A classical approach to the study of Archimedean four-dimensional polytopes
type: Item
instance of: scholarly article
title: A classical approach to the study of Archimedean four-dimensional polytopes
zbMATH Open document ID: 1165.01003
published in: Mathematische Semesterberichte
publication date: 2009-05-13T00:00:00Z
review text: This is a historic survey on visual images associated with polytopes, which came through the work of Alicia Boole Stott, the third daughter of the logician George Boole. In her 1900 publication [On certain series of sections of the regular fourdimensional hypersolids. Amst. Verh. 7, No. 3, 21 S (1900; JFM 31.0635.05)], \textit{A. Boole Stott} gave an intuitive proof on the classification of regular polytopes in four dimensions, which are the four-dimensional analogs of the Platonic solids. There are exactly six of those. Pictures of models of polyhedtra associated to such polytopes are shown in the paper, which also includes other historical comments concerning these objects.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 01-02
Mathematics Subject Classification ID: 51-02
zbMATH DE Number: 5553521
zbMATH Keywords: regular polytope
zbMATH Keywords: Alicia Boole Stott
zbMATH Keywords: Platonic solids
author: Irene Polo-Blanco
MaRDI profile type: Publication
full work available at URL: s00591-008-0037-3
OpenAlex ID: W2031839384
cites work: Regular and semi-regular polytopes. I
cites work: Q5729657
cites work: Alicia Boole Stott, a geometer in higher dimension
cites work: Coxeter on people and polytopes
DOI: 10.1007/S00591-008-0037-3
description: scientific article; zbMATH DE number 5553521