An enduring error
type: Item
instance of: scholarly article
title: An enduring error
zbMATH Open document ID: 1176.52002
DOI: 10.4171/EM/120
author: Branko Grünbaum
published in: Elemente der Mathematik
publication date: 2009-08-28T00:00:00Z
review text: The author gives an impressive and also extensive discussion of an ``enduring error'' referring to the non-consequent use of definitions of semiregular (or uniform) convex 3-polytopes, yielding ``thirteen or fourteen'' Archimedean solids. More precisely, in a consequent way he analyses what role the non-uniform pseudorhombicuboctahedron plays in this framework of definitions. Similar further examples of (insidious) errors from geometry are mentioned, and also the ``moral of the story'' is discussed at the end of this very nice article.
reviewed by: Horst Martini
Mathematics Subject Classification ID: 52B15
Mathematics Subject Classification ID: 52B05
Mathematics Subject Classification ID: 51M20
zbMATH DE Number: 5599693
zbMATH Keywords: Archimedean solid
zbMATH Keywords: uniform polyhedron
zbMATH Keywords: semiregular polyhedron
zbMATH Keywords: Miller's solid
zbMATH Keywords: pseudorhombicuboctahedron
Wikidata QID: Q55877844
describes a project that uses: Kaleido
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: Uniform polyhedra
cites work: Q4343008
cites work: Q5813620
cites work: Q5824053
cites work: Q5344632
cites work: Rediscovering the Archimedean polyhedra: Piero della Francesca, Luca Pacioli, Leonardo da Vinci, Albrecht Dürer, Daniele Barbaro, and Johannes Kepler
cites work: Q3984512
cites work: Q4873205
cites work: Isogonal prismatoids
cites work: Q5692711
cites work: Q4464726
cites work: Q3735714
cites work: An enumeration of simplicial 4-polytopes with 8 vertices
cites work: Q4302522
cites work: Q4000336
cites work: Q5514259
cites work: Q3850425
cites work: Q5562481
cites work: The complete set of uniform polyhedra
cites work: Q4089424
cites work: On the Archimedean or semiregular polyhedra
cites work: Characterizing the vertex neighbourhoods of semi-regular polyhedra
cites work: Q5627266
full work available at URL: https://doi.org/10.4171/em/120
OpenAlex ID: W1969412460
description: scientific article; zbMATH DE number 5599693