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Encyclopedia of Combinatorial Polytope Sequences



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Diagonal rectangulation polytope

(0, 6, 4, 4)

• Diagonal rectangulation polytopes [arxiv] (Law, Reading)
• Quotientopes P , whose upper ideal of shards contains the basic shards, all upper shards, and all lower shards. [Pilaud, Santos]
• Dimensions:
0, 1, 2, 3, ... n
• Number of Vertices in nth polytope: 1, 2, 6, 22, 92, ... Baxter permutations [ OEIS A001181]
• Number of Facets:
0, 2, 6, 14, 30 ... 2^(n+1) -2 [ OEIS A000918]
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