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Showing 2011 · math.MGShow all
3 papers · 2 filters
math.MG2011★ 3 cited
Bodies invisible from one point
Alexander Plakhov, Vera Roshchina
We show that there exist bodies with mirror surface invisible from a point in the framework of geometrical optics. In particular, we provide an example of a connected three-dimensi…
math.MG2011★ 24 cited
Sabitov polynomials for volumes of polyhedra in four dimensions
Alexander A. Gaifullin
In 1996 I.Kh. Sabitov proved that the volume of a simplicial polyhedron in a 3-dimensional Euclidean space is a root of certain polynomial with coefficients depending on the combin…
math.MG2011★ 9 cited
Waist of the sphere for maps to manifolds
R. N. Karasev, A. Yu. Volovikov
We generalize the sphere waist theorem of Gromov and the Borsuk--Ulam type measure partition lemma of Gromov--Memarian for maps to manifolds.