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Encyclopedia of Combinatorial Polytope Sequences



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Stellohedron

(0, 3, 6, 1)

Stellohedra S [arxiv] (Postnikov, Reiner, Williams)
Secondary polytopes of pairs of nested concentric n-dimensional simplices. [arxiv] (V. Pilaud, T. Manneville)
Star-graph associahedra [arxiv] (Carr, Devadoss)
complete-graph-cubeahedra [arxiv] (Devadoss, Heath, Vipismakul)
complete-graph-composihedra JGd [arxiv] (Devadoss, Forcey)
Dimensions:
0, 1, 2, 3, ... n
Number of Vertices in nth polytope:
1, 2, 5, 16, 65, ... Sum_{k=0..n} n!/k! [ OEIS A000522][see: i]
Number of Facets:
0, 2, 5, 10, 19, 36, ... 2^n + n - 1 [ OEIS A052944 ] (Thanks to P. Showers)
f-vectors:
1, 2, 1, 5, 5, 1, 16, 24, 10, 1, 65, 130, ... [ OEIS A248727] (Thanks to Tom Copeland)
h-vectors:
1, 3, 1, 1, 7, 7, 1, 1, 15, 33, 15, 1, 1, 31, 131, 131, 31, 1, ...[ OEIS A046802] (Thanks to Tom Copeland)
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