Continuous Flattening of Convex Polyhedra

DOI10.1007/978-3-642-34191-5_8zbMath1349.51011OpenAlexW1459473062MaRDI QIDQ4899267

Jin-ichi Itoh, Chie Nara, Costin Vîlcu

Publication date: 7 January 2013

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-34191-5_8

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Geometric constructions in real or complex geometry (51M15)

Related Items (11)

Continuous flattening of truncated tetrahedra ⋮ Cut locus realizations on convex polyhedra ⋮ Continuous Flattening of Orthogonal Polyhedra ⋮ Continuous Folding of Regular Dodecahedra ⋮ Continuous flattening of all polyhedral manifolds using countably infinite creases ⋮ Polyhedra with simple dense geodesics ⋮ Continuous flattening of some pyramids ⋮ Continuous flattening of the 2-dimensional skeleton of a regular 24-cell ⋮ Continuous flattening of the 2-dimensional skeleton of the square faces in a hypercube ⋮ Internal continuous flattening of polyhedra ⋮ Continuous flattening of the 2-skeletons in regular simplexes and cross-polytopes

Cites Work

• The volume as a metric invariant of polyhedra
• Continuous Flattening of Platonic Polyhedra
• Star Unfolding of a Polytope with Applications
• Unnamed Item

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