Inequalities Between Intrinsic Volumes.
Infinitesimal deformations and Lie derivative of a non-symmetric affine connection space
Inner Illumination of Convex Polytopes
Inner Illumination of Convex Polytopes.
Interface and mixed boundary value problems on -dimensional polyhedral domains.
Intrinsic Volumes and Lattice Points of Crosspolytopes.
Introduction aux polyèdres en combinatoire d'après E. Ehrhart et R. Stanley
Invertible Relations on Polytopes.
Irregular and semi-regular polyhedral models for Rous sarcoma virus cores.
Isocanted alcoved polytopes
Through tropical normal idempotent matrices, we introduce isocanted alcoved polytopes, computing their -vectors and checking the validity of the following five conjectures: Bárány, unimodality, , flag and cubical lower bound (CLBC). Isocanted alcoved polytopes are centrally symmetric, almost simple cubical polytopes. They are zonotopes. We show that, for each dimension, there is a unique combinatorial type. In dimension , an isocanted alcoved polytope has vertices, its face lattice is the lattice...
Isometric Embeddings of Pro-Euclidean Spaces
In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and only if X is a pro-Euclidean space of rank at most n, meaning that X can be written as a “nice” inverse limit of polyhedra. He also shows that either case implies that X has covering dimension at most n. The purpose of this paper is to extend these results to include both embeddings and spaces which are proper instead of compact. The main result of this paper is that any pro-Euclidean space of rank...
Isoperimetric Inequalities for Infinite Hyperplane Systems.
Isoperimetric numbers and spectral radius of some infinite planar graphs
Isoperimetric Regions in Rnwith Density rp
We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.