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

DOI10.1007/s00022-021-00575-6zbMath1467.52016OpenAlexW3130949617MaRDI QIDQ2035133

Chie Nara, Jin-ichi Itoh

Publication date: 24 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00022-021-00575-6

zbMATH Keywords

continuous flatteningrhombusregular polytope24-cell

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Cites Work

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• Origami embedding of piecewise-linear two-manifolds
• The Bellows conjecture
• Continuous flattening of the 2-dimensional skeleton of the square faces in a hypercube
• Continuous flattening of the 2-skeletons in regular simplexes and cross-polytopes
• 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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