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When Israeli scientist Daniel Shechtman first saw a quasicrystal through his microscope in 1982, he reportedly thought to himself, “Eyn chaya kazo” – Hebrew for, “There can be no such creature.”But th...
Bohr and Besicovitch almost periodic discrete sets and quasicrystals
Bohr and Besicovitch almost periodic discrete sets quasicrystals
2010/11/23
A discrete set $A$ in the Euclidian space is almost periodic if the measure with the unite masses at points of the set is almost periodic in the weak sense. We investigate properties of such sets in ...
Stable structures with high topological charge in nonlinear photonic quasicrystals
Stable structures high topological charge photonic quasicrystals
2010/4/2
Stable vortices with topological charge of 3 and 4 are examined numerically and analytically in photonic quasicrystals created by interference of 5 as well as 8 beams, in the cases of cubic as well as...
29 March 2007,Physicists in the US have found that they can transmit terahertz light at selective wavelengths by shining it onto a metal film perforated in an aperiodic, "quasicrystal" pattern. Until ...
Quaternionic Roots of E 8 Related Coxeter Graphs and Quasicrystals
Quaternionic Roots Quasicrystals E 8 Related Coxeter Graphs
2010/4/19
The lattice matching of two sets of quaternionic roots of F4 leads to quaternionic roots of E8 which has a decomposition H4 + s H4 where the Coxeter graph H4 is represented by the 120 quaternionic ele...