Abstract. We define a class of icosahedral patterns similar to the three-dimensional Penrose pattern by using the strip projection method in a twelve-dimensional space
The strip projection method is used to generate rational approximants to Penrose, octagonal and 7-fo...
We consider extensions of the projection technique for describing icosahedral solids. The relationsh...
A quasiperiodic covering of the plane by regular decagons and an analogous structure in three dimens...
We investigate a 3-dimensional analogue of the Penrose tiling, a class of 3-dimensional aperiodic ti...
We have constructed a generalized Penrose tiling by the cut-and-project method and compared its stru...
The crystallography of icosahedral crystals is constructed. The actual three-dimensional crystal is ...
Conventionally, Penrose tilings with fivefold symmetry are constructed with the aid of two character...
We characterize, by classical results of geometry of numbers, 3D periodic tilings of any Bravais lat...
An icosahedral quasicrystal can be regarded as a packing of copies of a well-defined atomic cluster ...
The planar and linear substructures of a threedimensional icosahedral Ammann-Kramer-Penrose quasilat...
The statistical approach based on the average unit cell concept was recently successfully applied to...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
The structure of icosahedral quasicrystals can be described either by a quasiperiodic density functi...
The modification of the Penrose tiling into a periodic structure is considered. Detailed analysis of...
The structure of icosahedral quasicrystals can be described either by a quasiperiodic density functi...
The strip projection method is used to generate rational approximants to Penrose, octagonal and 7-fo...
We consider extensions of the projection technique for describing icosahedral solids. The relationsh...
A quasiperiodic covering of the plane by regular decagons and an analogous structure in three dimens...
We investigate a 3-dimensional analogue of the Penrose tiling, a class of 3-dimensional aperiodic ti...
We have constructed a generalized Penrose tiling by the cut-and-project method and compared its stru...
The crystallography of icosahedral crystals is constructed. The actual three-dimensional crystal is ...
Conventionally, Penrose tilings with fivefold symmetry are constructed with the aid of two character...
We characterize, by classical results of geometry of numbers, 3D periodic tilings of any Bravais lat...
An icosahedral quasicrystal can be regarded as a packing of copies of a well-defined atomic cluster ...
The planar and linear substructures of a threedimensional icosahedral Ammann-Kramer-Penrose quasilat...
The statistical approach based on the average unit cell concept was recently successfully applied to...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
The structure of icosahedral quasicrystals can be described either by a quasiperiodic density functi...
The modification of the Penrose tiling into a periodic structure is considered. Detailed analysis of...
The structure of icosahedral quasicrystals can be described either by a quasiperiodic density functi...
The strip projection method is used to generate rational approximants to Penrose, octagonal and 7-fo...
We consider extensions of the projection technique for describing icosahedral solids. The relationsh...
A quasiperiodic covering of the plane by regular decagons and an analogous structure in three dimens...