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Encyclopedia of Combinatorial Polytope Sequences


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Halohedron

(0, 3, 6, 1)
• Halohedra H [arxiv] (Devadoss, Heath, Vipismakul)
• Cycle-cubeahedra [arxiv] (Devadoss, Forcey)
  • 1-loop Amplituhedron for planar ϕ^3 theory [arxiv] (Salvatori)
    		• • Dimensions:
    1, 2, 3, ... n
    • Number of Vertices in nth polytope:
    2, 5, 16, 55, 196, ... Catalan(n)*(3n+2)[ OEIS A051960]
    • Number of Facets:
    0, 2, 5, 10, 17, ... n^2+1 [ OEIS A002522]
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