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math.CO2014
On the number of hyperbolic manifolds of complexity n
A. Magazinov, I. Shnurnikov
We consider hyperbolic manifolds with boundary, which admit an ideal triangulation with n ideal triangles and one edge. We prove that the number of these manifolds is $\exp(n\ln(n)…
math.MG2014
Perfect prismatoids are lattice Delaunay polytopes
Marina Kozachok, Alexander Magazinov
A perfect prismatoid is a convex polytope such that for every its facet the set belongs to a supporting hyperplane . We prove that…