Subordination and superordination results for -like functions.
Sufficient conditions for the extendibility of an -th order flex of polyhedra.
Suites décroissantes de simplexes
Sulla famiglia dei flocks lineari di una quadrica iperbolica assolutamente irriducibile di uno spazio proiettivo finito
In questa Nota diamo una caratterizzazione dell'insieme di tutti i flocks lineari della quadrica iperbolica assolutamente irriducibile in .
Support properties of a family of connected compact sets
A problem of finding a system of proportionally located parallel supporting hyperplanes of a family of connected compact sets is analyzed. A special attention is paid to finding a common supporting halfspace. An existence theorem is proved and a method of solution is proposed.
Sur la classification des hexagones hyperboliques à angles droits en dimension 5
The aim of this paper is to give a classification of the right-angled hyperbolic hexagons in the real hyperbolic space , by using a quaternionic distance between geodesics in .
Sur la rigidité de polyèdres hyperboliques en dimension : cas de volume fini, cas hyperidéal, cas fuchsien
Un polyèdre hyperbolique semi-idéal est un polyèdre dont les sommets sont dans l’espace hyperbolique ou à l’infini. Un polyèdre hyperbolique hyperidéal est, dans le modèle projectif, l’intersection de avec un polyèdre projectif dont les sommets sont tous en dehors de et dont toutes les arêtes rencontrent . Nous classifions les polyèdres semi-idéaux en fonction de leur métrique duale, d’après les résultats de Rivin dans [8] (écrit avec C.D.Hodgson) et [7]. Nous utilisons ce résultat pour retrouver...
Sur les cercles tangents à trois cercles et les sphères tangentes à trois ou à quatre sphères
Sur les substitution linéaires
Sur l'existence de certains polyèdres
Sweeping the cd-index and the toric -vector.
Symmetrized and continuous generalization of transversals
The theorem of Edmonds and Fulkerson states that the partial transversals of a finite family of sets form a matroid. The aim of this paper is to present a symmetrized and continuous generalization of this theorem.
Symmetry in Practice - Recreational Constructions
Symmetry In Theory - Mathematics and Aesthetics
Tesselation of a triangle by repeated barycentric subdivision.
The isogonal sponges on the cubic lattice.
The alternating sign matrix polytope.
The angle defect for arbitrary polyhedra.
The Bellows conjecture.
The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
In 1994, Sturmfels gave a polyhedral version of the Cayley Trick of elimination theory: he established an order-preserving bijection between the posets of coherent mixed subdivisions of a Minkowski sum of point configurations and of coherent polyhedral subdivisions of the associated Cayley embedding . In this paper we extend this correspondence in a natural way to cover also non-coherent subdivisions. As an application, we show that the Cayley Trick combined with results of Santos on subdivisions...