Originating in diverse branches of mathematics, from polytope algebra and toric varieties to
the theory of stressed graphs, virtual polytopes represent a natural algebraic generalization …

R˚ adström's embedding theorem for'near vector spaces', which are essentially vector
spaces without additive inverses, is extended to embeddings of'near vector lattices', which …

Hedgehogs are the geometrical objects that describe the Minkowski differences (ie, formal
differences) of arbitrary convex bodies in $\mathbb {R}^{n+ 1} $. This book aims to …

In 1937, AD Alexandrov proved that if no parallel faces of two 3-dimensional convex
polytopes can be placed strictly one into another via a translation, then the polytopes are …

We study the problem how to draw a planar graph crossing-free such that every vertex is
incident to an angle greater than π. In general a plane straight-line drawing cannot …

An illustrated theory of hyperbolic virtual polytopes Page 1 Cent. Eur. J. Math. • 6(2) • 2008 •
204-217 DOI: 10.2478/s11533-008-0020-1 Central European Journal of Mathematics An …

Pointed spherical tilings and hyperbolic virtual polytopes Page 1 Записки научных семинаров
ПОМИ Том 372 2009 г. G. Yu. Panina POÁNTED SPHERÁCAL TÁLÁNGS AND HYPERBOLÁC …

We find a quartic example of a smooth embedded negatively curved surface in ℝ3
homeomorphic to a doubly punctured torus. This constitutes an explicit solution to …

We wish to draw attention to an interesting and promising interaction of two theories. On the
one hand, it is the theory of\textbf {pseudo-triangulations} which was useful for implicit …

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