Polygonal figures and their form spaces. I: The structure of isodiastemic manifolds (manifolds of equilateral polygons)

DOI10.1016/0898-1221(96)00147-2zbMath0883.51007OpenAlexW1996322444MaRDI QIDQ1816665

Adelhard E. Köhler

Publication date: 19 December 1996

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

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00147-2

zbMATH Keywords

polygonal formsform spaceisodiastemic manifolds

Mathematics Subject Classification ID

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

Related Items (1)

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