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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...
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...
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...