10 citations · 34 across the 26 of their papers we have counts for
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math.CO2020
Normal polytopes and ellipsoids
Joseph Gubeladze
We show that: (1) unimodular simplices in a lattice 3-polytope cover a neighborhood of the boundary of the polytope if and only if the polytope is very ample, (2) the convex hull o…
math.CO2020
The pyramidal growth
Joseph Gubeladze
Can one build an arbitrary polytope from any polytope inside by iteratively stacking pyramids onto facets, without losing the convexity throughout the process? We prove that this i…