AbstractIn this paper we prove that one can only tile a triangle with tiles all congruent to each other and similar to the original triangle when k2, l2 + k2, or 3k2 tiles are used. The result is based on the geometry of packing and a result of I. Niven's on rational trigonometric values. In addition we describe how to tile most triangles
AbstractThe definitions and lattice hierarchy previously established for tiling regions with individ...
We present our summer research on mathematical tiling. We classified which rectangular annular regio...
AbstractThe notion of a tiling of a set generalizes the notion of a factorization of a group and the...
AbstractIn this paper we prove that one can only tile a triangle with tiles all congruent to each ot...
An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N trianglescongruent...
We say that a triangle T tiles a polygon A, if A can be dissected into finitely many nonoverlapping ...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
Abstract. We say that a triangle ∆ tiles the polygon P if P can be decomposed into finitely many non...
AbstractA tiling of the plane with polygonal tiles is said to be strict if any point common to two t...
We consider tilings of quadriculated regions by dominoes and oftriangulated regions by lozenges. We ...
A rational n-tiling of the unit square is a collection of n triangles with rational side length whos...
AbstractLet T be a tile made up of finitely many rectangles whose corners have rational coordinates ...
Bodeen et al. recently considered a new combinatorial tiling problem wherein a “strip ” is tiled usi...
Here we give a more complete reckoning of the conjecture discussed in “Regular Production Systems an...
AbstractWe prove that, for two fixed integers m and n, the study of the tileability of a torus with ...
AbstractThe definitions and lattice hierarchy previously established for tiling regions with individ...
We present our summer research on mathematical tiling. We classified which rectangular annular regio...
AbstractThe notion of a tiling of a set generalizes the notion of a factorization of a group and the...
AbstractIn this paper we prove that one can only tile a triangle with tiles all congruent to each ot...
An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N trianglescongruent...
We say that a triangle T tiles a polygon A, if A can be dissected into finitely many nonoverlapping ...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
Abstract. We say that a triangle ∆ tiles the polygon P if P can be decomposed into finitely many non...
AbstractA tiling of the plane with polygonal tiles is said to be strict if any point common to two t...
We consider tilings of quadriculated regions by dominoes and oftriangulated regions by lozenges. We ...
A rational n-tiling of the unit square is a collection of n triangles with rational side length whos...
AbstractLet T be a tile made up of finitely many rectangles whose corners have rational coordinates ...
Bodeen et al. recently considered a new combinatorial tiling problem wherein a “strip ” is tiled usi...
Here we give a more complete reckoning of the conjecture discussed in “Regular Production Systems an...
AbstractWe prove that, for two fixed integers m and n, the study of the tileability of a torus with ...
AbstractThe definitions and lattice hierarchy previously established for tiling regions with individ...
We present our summer research on mathematical tiling. We classified which rectangular annular regio...
AbstractThe notion of a tiling of a set generalizes the notion of a factorization of a group and the...
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