Add to ORKGAbstract. We investigate lattice tilings of n-space by (k,n)-crosses, estab-lishing 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 Szabo ́ in [4]. 1
A cross in Rn is a cluster of unit cubes comprising a central one and 2n arms. In their monograph Al...
In this research, the bounds of splitting numbers for finite tiles and their characteristics were an...
AbstractStein (1990) discovered (n−1)! lattice tilings of Rn by translates of the notched n-cube whi...
We investigate lattice tilings of n-space by (k, n)-crosses, establishing necessary and sufficient c...
Abstract—We study necessary conditions for the existence of lattice tilings of Rn by quasi-crosses. ...
The existence of tilings of R^n by crosses, a cluster of unit cubes comprising a central one and 2n...
(eng) We study the structure of the set of tilings of a polygon $P$ with bars of fixed length. We ob...
Abstract. A tiling of a topological spaceX is a covering ofX by sets (called tiles) which are the cl...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
AbstractIn a series of papers, Galovich, Hamaker, Hickerson, Stein and Szabó investigated the tiling...
We discuss some problems of lattice tiling via Harmonic Analysis methods. We consider lattice tiling...
(eng) Many tiling spaces such as domino tilings of fixed figures have an underlying lattice structur...
Abstract. We present results on the enumeration of crossings and nestings for matchings and set part...
We study the problem of covering Rd by overlapping translates of a convex body P, such that almost e...
AbstractWe will say that a tiling F has property M if two of its members have a common (n − 1)-dimen...
A cross in Rn is a cluster of unit cubes comprising a central one and 2n arms. In their monograph Al...
In this research, the bounds of splitting numbers for finite tiles and their characteristics were an...
AbstractStein (1990) discovered (n−1)! lattice tilings of Rn by translates of the notched n-cube whi...
We investigate lattice tilings of n-space by (k, n)-crosses, establishing necessary and sufficient c...
Abstract—We study necessary conditions for the existence of lattice tilings of Rn by quasi-crosses. ...
The existence of tilings of R^n by crosses, a cluster of unit cubes comprising a central one and 2n...
(eng) We study the structure of the set of tilings of a polygon $P$ with bars of fixed length. We ob...
Abstract. A tiling of a topological spaceX is a covering ofX by sets (called tiles) which are the cl...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
AbstractIn a series of papers, Galovich, Hamaker, Hickerson, Stein and Szabó investigated the tiling...
We discuss some problems of lattice tiling via Harmonic Analysis methods. We consider lattice tiling...
(eng) Many tiling spaces such as domino tilings of fixed figures have an underlying lattice structur...
Abstract. We present results on the enumeration of crossings and nestings for matchings and set part...
We study the problem of covering Rd by overlapping translates of a convex body P, such that almost e...
AbstractWe will say that a tiling F has property M if two of its members have a common (n − 1)-dimen...
A cross in Rn is a cluster of unit cubes comprising a central one and 2n arms. In their monograph Al...
In this research, the bounds of splitting numbers for finite tiles and their characteristics were an...
AbstractStein (1990) discovered (n−1)! lattice tilings of Rn by translates of the notched n-cube whi...