Gähler F, Kwan EE, Maloney GR. A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry. Discrete & Computational Geometry. 2015;53(2):445-465.We describe a computer algorithm that searches for substitution rules on a set of triangles, the angles of which are all integer multiples of . We find new substitution rules admitting -fold rotational symmetry at many different inflation factors
In 1982 a quasi-crystal with 5-fold rotational symmetry was discovered by Shechtman et al. The most ...
A tiling is a covering of the plane by tiles which do not overlap. We are mostly int...
AbstractWe present a large class of parallelogram tilings that have two important features in common...
ABSTRACT. We describe a computer algorithm that searches for sub-stitution rules on a set of triangl...
ABSTRACT. A method is described for constructing, with computer as-sistance, planar substitution til...
Frettlöh D, Say-awen ALD, De Las Penas MLAN. Substitution tilings with dense tile orientations and n...
Say-awen ALD, De las Penas MLAN, Frettlöh D. Primitive substitution tilings with rotational symmetri...
We describe computer algorithms that produce the complete set of isohedral tilings by n-omino or n-i...
AbstractThis paper is intended to provide an introduction to the theory of substitution tilings. For...
Abstract. Two results about equidistribution of tile orientations in primitive substitution tilings ...
The class of Cyclotomic Aperiodic Substitution Tilings (CASTs) is introduced. Its vertices are suppo...
This paper is intended to provide an introduction to the theory of substitution tilings. For our pur...
Rotational symmetry is important for many applications in computer graphics, vision, and image proce...
Abstract. We consider tilings of Euclidean spaces by polygons or polyhedra, in particular, tilings m...
AbstractTwo new series of substitution tilings are introduced in which the tiles appear in infinitel...
In 1982 a quasi-crystal with 5-fold rotational symmetry was discovered by Shechtman et al. The most ...
A tiling is a covering of the plane by tiles which do not overlap. We are mostly int...
AbstractWe present a large class of parallelogram tilings that have two important features in common...
ABSTRACT. We describe a computer algorithm that searches for sub-stitution rules on a set of triangl...
ABSTRACT. A method is described for constructing, with computer as-sistance, planar substitution til...
Frettlöh D, Say-awen ALD, De Las Penas MLAN. Substitution tilings with dense tile orientations and n...
Say-awen ALD, De las Penas MLAN, Frettlöh D. Primitive substitution tilings with rotational symmetri...
We describe computer algorithms that produce the complete set of isohedral tilings by n-omino or n-i...
AbstractThis paper is intended to provide an introduction to the theory of substitution tilings. For...
Abstract. Two results about equidistribution of tile orientations in primitive substitution tilings ...
The class of Cyclotomic Aperiodic Substitution Tilings (CASTs) is introduced. Its vertices are suppo...
This paper is intended to provide an introduction to the theory of substitution tilings. For our pur...
Rotational symmetry is important for many applications in computer graphics, vision, and image proce...
Abstract. We consider tilings of Euclidean spaces by polygons or polyhedra, in particular, tilings m...
AbstractTwo new series of substitution tilings are introduced in which the tiles appear in infinitel...
In 1982 a quasi-crystal with 5-fold rotational symmetry was discovered by Shechtman et al. The most ...
A tiling is a covering of the plane by tiles which do not overlap. We are mostly int...
AbstractWe present a large class of parallelogram tilings that have two important features in common...