A general method is presented which proves that an appropriately chosen set of matching rules for a quasiperiodic tiling enforces quasiperiodicity. This method, which is based on self-similarity, is formulated in general terms to make it applicable to many different situations. The method is then illustrated with two examples, one of which is a new set of matching rules for a dodecagonal tiling
In order to generate normal Penrose tilings by inflation/deflation, decisions have to be made regard...
Several methods are currently available for the generation of quasiperiodic lattices in one-, two- a...
Abstract. Two results about equidistribution of tile orientations in primitive substitution tilings ...
A general method is presented which proves that an appropriately chosen set of matching rules for a ...
This lecture discusses one of the most important question raised by the discov-ery of quasicrystals:...
Simple quasiperiodic tilings with 8-fold and 12-fold symmetry are presented that possess local de-/...
AbstractWe prove that quasiperiodic tilings of Rk, obtained by the strip projection method when the ...
We show how the standard cut and project method can be adapted to build quasiperiodic geometrical mo...
We present a new algorithm for the generation of quasicrystalline structures. It is related to the c...
AbstractQuasiperiodic tilings are those tilings in which finite patterns appear regularly in the pla...
The two main techniques for the generation of quasipcriodic tilings.,de Bruijn's grid method and the...
A quasiperiodic covering of a plane by regular decagons is described, and an analogous structure in ...
A quasicrystal built with three types of tiles is related to the well-known octagonal tiling. The re...
The experimental data suggest that the neighbouring atoms of an atom in a quasi-crystal having as sy...
Based upon the torus parametrization which was introduced recently, we present a recipe allowing fo...
In order to generate normal Penrose tilings by inflation/deflation, decisions have to be made regard...
Several methods are currently available for the generation of quasiperiodic lattices in one-, two- a...
Abstract. Two results about equidistribution of tile orientations in primitive substitution tilings ...
A general method is presented which proves that an appropriately chosen set of matching rules for a ...
This lecture discusses one of the most important question raised by the discov-ery of quasicrystals:...
Simple quasiperiodic tilings with 8-fold and 12-fold symmetry are presented that possess local de-/...
AbstractWe prove that quasiperiodic tilings of Rk, obtained by the strip projection method when the ...
We show how the standard cut and project method can be adapted to build quasiperiodic geometrical mo...
We present a new algorithm for the generation of quasicrystalline structures. It is related to the c...
AbstractQuasiperiodic tilings are those tilings in which finite patterns appear regularly in the pla...
The two main techniques for the generation of quasipcriodic tilings.,de Bruijn's grid method and the...
A quasiperiodic covering of a plane by regular decagons is described, and an analogous structure in ...
A quasicrystal built with three types of tiles is related to the well-known octagonal tiling. The re...
The experimental data suggest that the neighbouring atoms of an atom in a quasi-crystal having as sy...
Based upon the torus parametrization which was introduced recently, we present a recipe allowing fo...
In order to generate normal Penrose tilings by inflation/deflation, decisions have to be made regard...
Several methods are currently available for the generation of quasiperiodic lattices in one-, two- a...
Abstract. Two results about equidistribution of tile orientations in primitive substitution tilings ...
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