Embedding a Polytope in a Lattice.
Embedding tiling spaces in surfaces
We show that an aperiodic minimal tiling space with only finitely many asymptotic composants embeds in a surface if and only if it is the suspension of a symbolic interval exchange transformation (possibly with reversals). We give two necessary conditions for an aperiodic primitive substitution tiling space to embed in a surface. In the case of substitutions on two symbols our classification is nearly complete. The results characterize the codimension one hyperbolic attractors of surface diffeomorphisms...
Empilements de cercles : convergence d'une méthode de point fixe
Empilements de cercles: Convergence d'une méthode de point fixe.
Empilements de cercles et modules combinatoires
Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.
Empilements de cercles et théorème de Liouville (d'après T. Dubejko)
Empilements de sphères
e-Nets and Simplex Range Queries.
Entropy, capacity and arrangements on the cube.
Enumeration of 2-isohedral tilings on the sphere
Enumeration of integral tetrahedra.
Enveloppe convexe des hyperplans d’un espace affine fini
Dans cet article nous caractérisons, par les facettes, l’enveloppe convexe des vecteurs caractéristiques des hyperplans d’un espace projectif fini et d’un espace affine fini.
Enveloppe convexe des hyperplans d'un espace affine fini
Dans cet article nous caractérisons, par les facettes, l'enveloppe convexe des vecteurs caractéristiques des hyperplans d'un espace projectif fini et d'un espace affine fini.
Epiconvergence and -subgradients of convex functions.
Equality of the Lebesgue and the inductive dimension functions for compact spaces with a uniform convexity
Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem
Equidecomposability of Jordan domains under groups of isometries
Let denote the isometry group of . We prove that if G is a paradoxical subgroup of then there exist G-equidecomposable Jordan domains with piecewise smooth boundaries and having different volumes. On the other hand, we construct a system of Jordan domains with differentiable boundaries and of the same volume such that has the cardinality of the continuum, and for every amenable subgroup G of , the elements of are not G-equidecomposable; moreover, their interiors are not G-equidecomposable...
Equidecomposability of Polyhedra with Reference to Crystallographic Groups.
Equidissections of centrally symmetric octagons.
Equifacetted 3-Spheres as Topes of Non-polytopal Matroid Polytopes.