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Research of Serge Lawrencenko

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July 22, 2010. S. Lawrencenko, Polyhedral suspensions of arbitrary genus, Graphs and Combinatorics, 26 (2010), 537—548.

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Abstract: A new class of polyhedra is discovered—bipyramids of arbitrarily prescribed genus. A two-dimensional generalization of Fary’s Theorem is established. A purely combinatorial definition of a polyhedral suspension is given. A new regular two-dimensional polyhedron is constructed in four dimensions.

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