Reversibility and foldability of Conway tiles

DOI10.1016/j.comgeo.2017.03.003zbMath1378.52020OpenAlexW2604386858MaRDI QIDQ2398822

Jin Akiyama, Kiyoko Matsunaga

Publication date: 21 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.comgeo.2017.03.003

zbMATH Keywords

reversibilityfoldabilityConway tilesequi-rotationalstrong tessellability

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (3)

Mechanism of folding a strip into isotetrahedra or rectangle dihedra ⋮ A prettier shell on the seashore: the Conway criterion ⋮ Unfoldings of an envelope

Cites Work

• Unnamed Item
• A decision algorithm for reversible pairs of polygons
• A criterion for a pair of convex polygons to be reversible
• Generalization of Haberdasher's puzzle
• Reversible Nets of Polyhedra
• Determination of All Tessellation Polyhedra with Regular Polygonal Faces
• Treks into Intuitive Geometry
• Will It Tile? Try the Conway Criterion!
• Tile-Makers and Semi-Tile-Makers
• Hinged dissections exist

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