Deformations, isosymmetric manifolds, and higher dimensional form space symmetries for point ensembles (polygonal forms) under \(\mathbb{O}(2)\) symmetry. III: Motifs in geometric figures and constraints in form spaces

DOI10.1016/0898-1221(96)00046-6zbMath0932.51007OpenAlexW2057662646MaRDI QIDQ1921225

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)00046-6

zbMATH Keywords

group actionsclassification of shapes

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Other geometric groups, including crystallographic groups (20H15) Group actions on manifolds and cell complexes in low dimensions (57M60) Euclidean geometries (general) and generalizations (51M05) Shapes (aspects of topological manifolds) (57N25)

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A second approach to fuzzy symmetries: Fuzzy symmetry requirements ⋮ 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

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