Topics
quasicrystalBuilding
Unique affine extensions Haff2, H aff 3 and H aff 4 are determined for the noncrystallographic Coxeter groups H2, H3 andH4. They are used for the construction of new mathematical models for quasicrystal fragments with 10-fold symmetry. The case of Haff2 corresponding to planar point sets is discussed in detail. In contrast to the cut-and-project scheme we obtain by construction finite point sets, which grow with a model specific growth parameter. PACS numbers. 02.20.s, 61.4
Crystallographic concepts are extended to quasicrystalline structures and applied to icosahedral qua...
Abstract. We investigate the quasi-isometry classification of the right-angled Coxeter groups WΓ whi...
Selfsimilar planar patterns with nine-fold and fifteen-fold symmetries are generated with the help o...
In this paper, we show that affine extensions of non-crystallographic Coxeter groups can be derived ...
Motivated by recent results in mathematical virology, we present novel asymmetric Z[tau]-integer-val...
We propose affine Toda field theories related to the noncrystallographic Coxeter groups H2,H3 and H4...
In this paper, we show that affine extensions of non-crystallographic Coxeter groups can be derived ...
Abstract: Quasicrystalline structures can be viewed as a cut through a periodic structure in a highe...
Real physical systems with reflective and rotational symmetries such as viruses, fullerenes and quas...
Quasicrystalline structures can be viewed as a cut through a periodic structure in a higherdimension...
The lattice matching of two sets of quaternionic roots of F4 leads to quaternionic roots of E8 which...
We present a new algorithm for the generation of quasicrystalline structures. It is related to the c...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
The lattice matching of two sets of quaternionic roots of F4 leads to quaternionic roots of E8 which...
We classify (up to an isomorphism in the category of affine groups) the complex crystallographic gro...
Crystallographic concepts are extended to quasicrystalline structures and applied to icosahedral qua...
Abstract. We investigate the quasi-isometry classification of the right-angled Coxeter groups WΓ whi...
Selfsimilar planar patterns with nine-fold and fifteen-fold symmetries are generated with the help o...
In this paper, we show that affine extensions of non-crystallographic Coxeter groups can be derived ...
Motivated by recent results in mathematical virology, we present novel asymmetric Z[tau]-integer-val...
We propose affine Toda field theories related to the noncrystallographic Coxeter groups H2,H3 and H4...
In this paper, we show that affine extensions of non-crystallographic Coxeter groups can be derived ...
Abstract: Quasicrystalline structures can be viewed as a cut through a periodic structure in a highe...
Real physical systems with reflective and rotational symmetries such as viruses, fullerenes and quas...
Quasicrystalline structures can be viewed as a cut through a periodic structure in a higherdimension...
The lattice matching of two sets of quaternionic roots of F4 leads to quaternionic roots of E8 which...
We present a new algorithm for the generation of quasicrystalline structures. It is related to the c...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
The lattice matching of two sets of quaternionic roots of F4 leads to quaternionic roots of E8 which...
We classify (up to an isomorphism in the category of affine groups) the complex crystallographic gro...
Crystallographic concepts are extended to quasicrystalline structures and applied to icosahedral qua...
Abstract. We investigate the quasi-isometry classification of the right-angled Coxeter groups WΓ whi...
Selfsimilar planar patterns with nine-fold and fifteen-fold symmetries are generated with the help o...
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