Deformations, isosymmetric manifolds, and higher dimensional form space symmetries for point ensembles (polygonal forms) under \(\mathbb{O}(2)\) symmetry. II: Four points

DOI10.1016/0898-1221(96)00045-4zbMath0932.51006OpenAlexW4213070995MaRDI QIDQ1921224

Adelhard E. Köhler

Publication date: 8 March 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00045-4

zbMATH Keywords

group actionsclassification of shapes

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Group actions on manifolds and cell complexes in low dimensions (57M60) Shapes (aspects of topological manifolds) (57N25)

Related Items (2)

Polygonal figures and their form spaces. I: The structure of isodiastemic manifolds (manifolds of equilateral polygons) ⋮ Polygonal figures and their form spaces. II: Angle permutations in equilateral polygons

Cites Work

• Deformations, isosymmetric manifolds, and higher-dimensional form space symmetries for point ensembles (polygonal forms) under \(\mathbb{O}(2)\) symmetry. I: Two and three points
• Isosymmetric manifolds in form spaces and the normal deformations of polygonal forms
• Crystallography, geometry and physics in higher dimensions. III. Geometrical symbols for the 227 crystallographic point groups in four-dimensional space
• Crystallography, geometry and physics in higher dimensions. II. Point symmetry of holohedries of the two hypercubic crystal systems in four-dimensional space

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