Inequality between sides and diagonals of a space -gon and its integral analog
Infinite Dimensional Polytopes.
Infinite perfekte Dreieckszerlegungen auch für gleichseitige Dreiecke.
Infinite periodic discrete minimal surfaces without self-intersections.
Infinitesimal deformations and Lie derivative of a non-symmetric affine connection space
Inflationary tilings with a similarity structure.
Inhomogeneous extreme forms
G.F. Voronoi (1868–1908) wrote two memoirs in which he describes two reduction theories for lattices, well-suited for sphere packing and covering problems. In his first memoir a characterization of locally most economic packings is given, but a corresponding result for coverings has been missing. In this paper we bridge the two classical memoirs.By looking at the covering problem from a different perspective, we discover the missing analogue. Instead of trying to find lattices giving economical...
Inner and Outer j-Radii of Convex Bodies in Finite-Dimensional Normed Spaces.
Inner Illumination of Convex Polytopes
Inner Illumination of Convex Polytopes.
Inner parallel curves and domains in the equiaffine geometry.
Inradius und Dicke konvexer Körper aus optimierungstheoretischer Sicht
Integer partitions, tilings of -gons and lattices
In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of -gons (hexagons, octagons, decagons, etc.). We show that the sets of partitions, ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of a -gon is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical models exist.
Integer Partitions, Tilings of 2D-gons and Lattices
In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of 2D-gons (hexagons, octagons, decagons, etc.). We show that the sets of partitions, ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of a 2D-gon is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical models exist.
Integer Points on Curves and Surfaces.
Integral geometry and real zeros of Thue-Morse polynomials.
Integral Self-Affine Tiles in ... Part II: Lattice Tilings.
Interface and mixed boundary value problems on -dimensional polyhedral domains.
Interior Points of the Convex Hull of Few Points in ...
Interpolation and extrapolation of smooth functions by linear operators.