Continuous blooming of convex polyhedra

DOI10.1007/s00373-011-1024-3zbMath1236.52008OpenAlexW2030754129MaRDI QIDQ659710

Vi Hart, John Iacono, Erik D. Demaine, Stefan Langerman, Martin L. Demaine, Joseph O'Rourke

Publication date: 24 January 2012

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-011-1024-3

zbMATH Keywords

convex polyhedronunfoldingfoldingbloomingcollision-free motion

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Computational aspects related to convexity (52B55) Polyhedral manifolds (52B70)

Related Items (5)

Folding Polyominoes into (Poly)Cubes ⋮ Unnamed Item ⋮ Affine unfoldings of convex polyhedra ⋮ On rigid origami I: piecewise-planar paper with straight-line creases ⋮ Fibonacci Numbers, Integer Compositions, and Nets of Antiprisms

Cites Work

• Unnamed Item
• Star unfolding convex polyhedra via quasigeodesic loops
• Nonoverlap of the star unfolding
• Ununfoldable polyhedra with convex faces
• Epsilon-unfolding orthogonal polyhedra
• Edge-unfolding nested polyhedral bands
• Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings
• When can a net fold to a polyhedron?
• On Shortest Paths in Polyhedral Spaces

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