Virtual polytopes

GY Panina, I Streinu - Russian Mathematical Surveys, 2015 - iopscience.iop.org
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 …

An illustrated theory of hyperbolic virtual polytopes

M Knyazeva, G Panina - Open Mathematics, 2008 - degruyter.com
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 …

Around AD Alexandrov's uniqueness theorem for convex polytopes

G Panina - Advances in Geometry, 2012 - degruyter.com
Two dependent examples are presented: 1. Two convex polytopes in ℝ3 such that for each
pair of their parallel facets, one of the facets fits strictly into the other.(The example gives a …

Planar pseudo-triangulations, spherical pseudo-tilings and hyperbolic virtual polytopes

G Panina - arXiv preprint math/0607171, 2006 - arxiv.org
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 …

Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces?

V Alexandrov - Abhandlungen aus dem Mathematischen Seminar der …, 2018 - Springer
We choose some special unit vectors n _1, ..., n _5 n 1,…, n 5 in R^ 3 R 3 and denote by L ⊂
R^ 5 L⊂ R 5 the set of all points (L_1, ..., L_5) ∈ R^ 5 (L 1,…, L 5)∈ R 5 with the following …

[HTML][HTML] Isotopy problems for saddle surfaces

G Panina - European Journal of Combinatorics, 2010 - Elsevier
Isotopy problems for saddle surfaces - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

[PDF][PDF] Oberwolfach Preprints

G PANINA, I STREI - academia.edu
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 …

Виртуальные многогранники

ГЮ Панина, И Стрейну - Успехи математических наук, 2015 - mathnet.ru
Виртуальные многогранники Page 1 2015 г. ноябрь — декабрь т. 70, вып. 6(426) УСПЕХИ
МАТЕМАТИЧЕСКИХ НАУК УДК 514.144 Виртуальные многогранники ГЮПанина, И. Стрейну …

Virtual polytopes

G Yu Panina, I Streinu - Russian Mathematical Surveys, 2015 - scholarworks.smith.edu
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 …

[引用][C] AROUND AD ALEXANDROV'S UNIQUENESS THEOREM FOR 3D POLYTOPES

G PANINA