Continuous flattening of the 2-skeletons in regular simplexes and cross-polytopes

DOI10.1007/s00022-019-0504-0zbMath1430.51028OpenAlexW2972087021MaRDI QIDQ2329386

Jin-ichi Itoh, Chie Nara

Publication date: 17 October 2019

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-019-0504-0

zbMATH Keywords

simplexcontinuous flatteningrhombusregular polytopecross-polytope

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (1)

Continuous flattening of the 2-dimensional skeleton of a regular 24-cell

Cites Work

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• Continuous flattening of truncated tetrahedra
• The volume as a metric invariant of polyhedra
• The Bellows conjecture
• Continuous flattening of the 2-dimensional skeleton of the square faces in a hypercube
• Continuous flattening of some pyramids
• Continuous Flattening of Platonic Polyhedra
• Continuously Flattening Polyhedra Using Straight Skeletons
• Continuous Flattening of Convex Polyhedra

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