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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.

April 9, 2010. The Proceedings of the 10th International Seminar on Discrete Mathematics and its Applications (held February 1—6, 2010, at Moscow State University) have been published and are available here.

S. Lawrencenko, A new regular polyhedron [in Russian]. In: Proceedings of the 10th International Seminar on Discrete Mathematics and its Applications (held February 1—6, 2010, at Moscow State University), Moscow State University, Moscow 2010, pp. 495—498.

S. Lawrencenko's presentation [ppt] “A new regular polyhedron” [in Russian]