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math.GT2018
Shapes of Centrally Symmetric Octahedra with Prescribed Cone-Deficits
Zili Wang
In his paper "Shapes of Polyhedra and Triangulations of the Sphere", Thurston found that the set of shapes of convex polyhedra with prescribed cone-deficits has a complex hyperboli…
math.MG2018
Farthest Point Map on a Centrally Symmetric Convex Polyhedron
Zili Wang
The farthest point map sends a point in a compact metric space to the set of points farthest from it. We focus on the case when this metric space is a convex centrally symmetric po…