Two remarkable movable frameworks
type: Item
instance of: scholarly article
title: Two remarkable movable frameworks
zbMATH Open document ID: 0754.51009
DOI: 10.1007/BF01245938
author: Hellmuth Stachel
published in: Journal of Geometry
publication date: 1992-06-28T00:00:00Z
review text: The author presents an analysis of two overconstrained mechanisms that are both related to regular polyhedra in the Euclidean 3-space. The first one is a modification of Buckminster-Fuller's Jitterbug, called HEUREKA- polyhedron by the author. The second one is called the Grünbaum- framework. It admits at least two types of constrained motions. One has been found by R. Connelly and the other is due to the author (see also the forthcoming Proceeding of the Conference on Intuitive Geometry in Szeged, 1991). These motions are described explicitly.
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 52C25
zbMATH DE Number: 34765
zbMATH Keywords: movable frameworks
zbMATH Keywords: regular polyhedra
zbMATH Keywords: Euclidean 3-space
reviewed by: Bernd Wegner
MaRDI profile type: Publication
cites work: Rigid and Flexible Frameworks
cites work: Ein bewegliches Tetraederpaar. (A movable pair of tetrahedra)
cites work: Q4328205
cites work: Q5826234
cites work: Q3209758
description: scientific article; zbMATH DE number 34765