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Combinatorially two-orbit convex polytopes

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Publication:282754
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DOI10.1007/s00454-015-9752-4zbMath1343.52011arXiv1411.1782OpenAlexW3099715295MaRDI QIDQ282754

Nicholas Matteo

Publication date: 12 May 2016

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1782


zbMATH Keywords

tilingsconvex polytopeshalf-regularquasiregulartwo-orbit


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Symmetry properties of polytopes (52B15)


Related Items

An effective solution to convex 1-body \(N\)-representability ⋮ Open problems on \(k\)-orbit polytopes



Cites Work

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  • Two-orbit convex polytopes and tilings
  • Semiregular polytopes and amalgamated C-groups
  • The existence on non-tiles and non-facets in three dimensions
  • On combinatorial and affine automorphisms of polytopes
  • Two-orbit polyhedra from groups
  • Monodromy Groups and Self-Invariance
  • Abstract Regular Polytopes
  • Combinatorially regular polytopes
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