We consider tilings of the plane. Two tiles are called neighbors if they share at least one boundary point. A tiling is called a constant neighbor tiling if every tile has the same number of neighbors. A tiling of the plane is called monohedral if every tile is congruent, and a tiling is called dihedral if exactly two different tiles are used
This thesis was completed and submitted at Nipissing University, and is made freely accessible throu...
We derived 14 types of tiling cases under a restricted condition in our previous report, which studi...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
We examine tilings of the plane (plane tilings) and of 3-space that have the neighborhood property (...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
We examine tilings of the plane (plane tilings) and of 3-space that have the neighborhood property (...
A tiling is a covering of the plane with non-overlapping figures that have no holes between them. Fo...
AbstractWe consider the tilings by translation of a single polyomino or tile on the square grid Z2. ...
A locally finite face-to-face tiling T of euclidean d-space E d is monotypic if each tile of T is a ...
A set of natural numbers tiles the plane if a square- tiling of the plane exists using exactly on sq...
AbstractThe definitions and lattice hierarchy previously established for tiling regions with individ...
We study a problem of a number of lattice plane tilings by given area polyominoes. A polyomino is a ...
This thesis was completed and submitted at Nipissing University, and is made freely accessible throu...
We derived 14 types of tiling cases under a restricted condition in our previous report, which studi...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
We examine tilings of the plane (plane tilings) and of 3-space that have the neighborhood property (...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
The neighborhood N(T) of a tile T is the set of all tiles which meet T in at least one point. If for...
We examine tilings of the plane (plane tilings) and of 3-space that have the neighborhood property (...
A tiling is a covering of the plane with non-overlapping figures that have no holes between them. Fo...
AbstractWe consider the tilings by translation of a single polyomino or tile on the square grid Z2. ...
A locally finite face-to-face tiling T of euclidean d-space E d is monotypic if each tile of T is a ...
A set of natural numbers tiles the plane if a square- tiling of the plane exists using exactly on sq...
AbstractThe definitions and lattice hierarchy previously established for tiling regions with individ...
We study a problem of a number of lattice plane tilings by given area polyominoes. A polyomino is a ...
This thesis was completed and submitted at Nipissing University, and is made freely accessible throu...
We derived 14 types of tiling cases under a restricted condition in our previous report, which studi...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...