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Isocanted alcoved polytopes
[article]
2020
arXiv
pre-print
Through tropical normal idempotent matrices, we introduce isocanted alcoved polytopes, computing their f–vectors and checking the validity of the following five conjectures: Bárány, unimodality, 3^d, flag and cubical lower bound (CLBC). Isocanted alcoved polytopes are centrally symmetric, almost simple cubical polytopes. They are zonotopes. We show that, for each dimension, there is a unique combinatorial type. In dimension d, an isocanted alcoved polytope has 2^d+1-2 vertices, its face lattice
arXiv:2009.13858v1
fatcat:v764dqzwrre5fjhk2npaumoe4a