Unfolding cubes: nets, packings, partitions, chords

DOI10.37236/9796zbMath1454.52009arXiv2007.13266OpenAlexW3111014608MaRDI QIDQ2215462

Jordan Readyhough, Bryce Wimberly, Satyan L. Devadoss, Kristin DeSplinter

Publication date: 13 December 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13266

zbMATH Keywords

\(n\)-cubeunfolding cube

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Paths and cycles (05C38)

Related Items (3)

Overlapping edge unfoldings for Archimedean solids and (anti)prisms ⋮ Unfoldings and nets of regular polytopes ⋮ 𝐾-theory of multiparameter persistence modules: Additivity

Cites Work

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• Affine unfoldings of convex polyhedra
• Star unfolding convex polyhedra via quasigeodesic loops
• The number of nets of the regular convex polytopes in dimension \(\leq 4\)
• On the Vassiliev knot invariants
• Hamiltonian circuits on the \(n\)-dimensional octahedron
• Internal continuous flattening of polyhedra
• Enumeration of chord diagrams without loops and parallel chords
• Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings
• Convex polytopes with convex nets
• Universal folding pathways of polyhedron nets
• Angle Deficiencies of Convex Polytopes

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