17 citations · 73 across the 26 of their papers we have counts for
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math.MG2013
Neighborly inscribed polytopes and Delaunay triangulations
Bernd Gonska, Arnau Padrol
We construct a large family of neighborly polytopes that can be realized with all the vertices on the boundary of any smooth strictly convex body. In particular, we show that there…
math.MG2013★ 3 cited
A universality theorem for projectively unique polytopes and a conjecture of Shephard
Karim Alexander Adiprasito, Arnau Padrol
We prove that every polytope described by algebraic coordinates is the face of a projectively unique polytope. This provides a universality property for projectively unique polytop…