Isosymmetric manifolds in form spaces and the normal deformations of polygonal forms
type: Item
instance of: scholarly article
title: Isosymmetric manifolds in form spaces and the normal deformations of polygonal forms
zbMATH Open document ID: 0777.92001
DOI: 10.1016/0898-1221(93)90134-H
author: Adelhard E. Köhler
publication date: 1993-12-12T00:00:00Z
review text: If the shape of an object is determined by a set of parameters the space of all possible parameter values forms a space \(\mathcal F\). A path in \(\mathcal F\) represents a deformation of the shape. When \(\mathcal F\) is a Euclidean space and a particular shape exhibits symmetry the deformations that preserve this symmetry give rise to a subvariety of \(\mathcal F\). These are the isosymmetric manifolds of the paper's title. The paper gives detailed examples of the concept for polygonal shapes.
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 92B99
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 203426
zbMATH Keywords: symmetry breaking
zbMATH Keywords: symmetry preserving deformations
zbMATH Keywords: isosymmetric manifolds
zbMATH Keywords: detailed examples
zbMATH Keywords: polygonal shapes
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
cites work: A fuzzy symmetry concept for forms with imperfect symmetries
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 203426