Reversible Nets of Polyhedra

DOI10.1007/978-3-319-48532-4_2zbMath1426.52007arXiv1607.00538OpenAlexW2468225602MaRDI QIDQ2958083

Stefan Langerman, Kiyoko Matsunaga, Jin Akiyama

Publication date: 1 February 2017

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

Full work available at URL: https://arxiv.org/abs/1607.00538

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyhedral manifolds (52B70)

Related Items (6)

A prettier shell on the seashore: the Conway criterion ⋮ Reversibility and foldability of Conway tiles ⋮ Generalization of Haberdasher's puzzle ⋮ Twenty years of progress of \(\mathrm{JCDCG}^3\) ⋮ Polyhedral characterization of reversible hinged dissections ⋮ Unfoldings of an envelope

Cites Work

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• A decision algorithm for reversible pairs of polygons
• Nonoverlap of the star unfolding
• A criterion for a pair of convex polygons to be reversible
• Hinged dissection of polyominoes and polyforms
• Transformability and Reversibility of Unfoldings of Doubly-Covered Polyhedra
• Treks into Intuitive Geometry
• Tile-Makers and Semi-Tile-Makers
• Hinged dissections exist

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