Encyclopedia of Combinatorial Polytope Sequences

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(2,n)-Brick Polytope

(0, 5, 2, 6)**

• (2,n)-Brick Polytopes B^2(n) [arxiv](V. Pilaud) • convex hulls of the brick vectors of all (2, n)-twists • Brick Polytopes of the 2-kernels of (size n) bubble sort networks Omega(B^2_(n+4)) [arxiv](V. Pilaud, F. Santos) • (2,n)-Beam Polytopes Omega_(2,n) [arxiv](V. Pilaud)

• Dimensions: 0, 1, 2, 3, ... n-1 • Number of Vertices in nth polytope: 1, 2, 6, 22, 92, 420, 2042, ... [ OEIS A263791] and [ OEIS conjecture A264868] • Number of Facets: 0, 2, 6, 13, 25, 45, 78, 132, ... [ OEIS A065220] • f-vectors: 1, 2, 1, 6, 6, 1, 22, 33, 13, 1, 92, 185, 118, 25, 1, 420, 1062, 945, 346, 45, ... [ OEIS ?]

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