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Icosahedral photonic quasicrystals and its Brillouin zone

First experimental measurement of the photonic properties of icosahedral quasicrystals
Nature paper 
(W. Man, M. Megans, P.M.  Chaikin, PJS)

Optimized structures for photonic quasicrystals
PRL 
(M. C. Rechtsman, H.-C. Jeong, P.M. Chaikin, S. Torquato, PJS)

Complete bandgaps for 2D photonic quasicrystals
PRB paper 
(M. Florescu, S. Torquato, PJS)

Disordered photonic solids with complete photonic bandgaps  (Theory)
PNAS  
(M. Florescu. S. Torquato, PJS)

Evidence for an isotropic bandgap
Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast
Optics Express  (2013) 
(W. Man, M Florescu, K. Matsuyama, P, Yadak, G. Nahal, S. Hashemizad, E. Williamson, PJS,  S. Torquato, and
P.M. Chaikin) First waveguides in a hyperuniform disordered photonic solid Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids PNAS (2013) (see also the Supplemental Information) (W. Man, M. Florescu, E.P. Williamson, Y. He, S.R. Hasehmizad, B.Y.C. Leung, D.R. Liner, PJS, S. Torquato and P. Chaikin)