Add to ORKGWe investigate lattice tilings of n-space by (k, n)-crosses, establishing necessary and sufficient conditions for tilings with certain small values of k. We give a necessary condition for tilings corresponding to nonsingular splittings with general values of k. We also prove one case of a conjecture made by Stein and Szabó in [4]
We consider tilings of quadriculated regions by dominoes and oftriangulated regions by lozenges. We ...
It is well known that if a finite set $A\subset\mathbb{Z}$ tiles the integers by translations, then ...
In this research, the bounds of splitting numbers for finite tiles and their characteristics were an...
Abstract. We investigate lattice tilings of n-space by (k,n)-crosses, estab-lishing necessary and su...
The existence of tilings of R^n by crosses, a cluster of unit cubes comprising a central one and 2n...
Abstract—We study necessary conditions for the existence of lattice tilings of Rn by quasi-crosses. ...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
AbstractThe notion of a tiling of a set generalizes the notion of a factorization of a group and the...
Using algebraic and graph theoretical methods we provide an algorithm to determine the integer latti...
AbstractThe notion of a factorization of a group is generalized and a method is presented for obtain...
AbstractWe give a structural description of cube tilings and unextendible cube packings of R3. We al...
AbstractIn this paper we prove that one can only tile a triangle with tiles all congruent to each ot...
AbstractStein (1990) discovered (n−1)! lattice tilings of Rn by translates of the notched n-cube whi...
AbstractIn a series of papers, Galovich, Hamaker, Hickerson, Stein and Szabó investigated the tiling...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
We consider tilings of quadriculated regions by dominoes and oftriangulated regions by lozenges. We ...
It is well known that if a finite set $A\subset\mathbb{Z}$ tiles the integers by translations, then ...
In this research, the bounds of splitting numbers for finite tiles and their characteristics were an...
Abstract. We investigate lattice tilings of n-space by (k,n)-crosses, estab-lishing necessary and su...
The existence of tilings of R^n by crosses, a cluster of unit cubes comprising a central one and 2n...
Abstract—We study necessary conditions for the existence of lattice tilings of Rn by quasi-crosses. ...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
AbstractThe notion of a tiling of a set generalizes the notion of a factorization of a group and the...
Using algebraic and graph theoretical methods we provide an algorithm to determine the integer latti...
AbstractThe notion of a factorization of a group is generalized and a method is presented for obtain...
AbstractWe give a structural description of cube tilings and unextendible cube packings of R3. We al...
AbstractIn this paper we prove that one can only tile a triangle with tiles all congruent to each ot...
AbstractStein (1990) discovered (n−1)! lattice tilings of Rn by translates of the notched n-cube whi...
AbstractIn a series of papers, Galovich, Hamaker, Hickerson, Stein and Szabó investigated the tiling...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
We consider tilings of quadriculated regions by dominoes and oftriangulated regions by lozenges. We ...
It is well known that if a finite set $A\subset\mathbb{Z}$ tiles the integers by translations, then ...
In this research, the bounds of splitting numbers for finite tiles and their characteristics were an...