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The enumeration of stack polytopes and simplicial clusters

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Publication:1173286
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DOI10.1016/0012-365X(82)90121-2zbMath0503.52006MaRDI QIDQ1173286

Geoffrey C. Shephard, Ronald C. Read, Franz Hering

Publication date: 1982

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

equivalenceenumerationsimplicial d-clusterstack polytopesunder rigid motions


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Polytopes and polyhedra (52Bxx)


Related Items

The weak-coupling limit of 3D simplicial quantum gravity, The weak-coupling limit of simplicial quantum gravity



Cites Work

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  • Polyhedra with 4 to 8 faces
  • On the cell-growth problem for arbitrary polygons
  • Subpolytopes of stack polytopes
  • On general dissections of a polygon
  • Manifolds in stacked 4-polytopes
  • The minimum number of vertices of a simple polytope
  • The number of trees
  • The number of neighbourly d ‐polytopes with d +3 vertices
  • Enumeration of polyhedra: The number of 9-hedra
  • The number of d ‐polytopes with d +3 vertices
  • Enumerating Dissectible Polyhedra by Their Automorphism Groups
  • Can Regular Tetrahedra be Glued Together Face to Face to form a Ring?
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