Physics

QuasiCrystals and Geometry

Leave a comment

I found a 1995 book (PDF online) “QuasiCrystals and Geometry” by Marjorie Senechal. There were some very nice diffraction patterns that match rectified 4_21 E8 Polytope 12,18, and 30-gon projections. See my overlays below:

12-gon Rectified E8
quasi-Rect421-12gon0b
Diffraction
quasi-Rect421-12gon1b
Overlay
quasi-Rect421-12gon2b

18-gon Rectified E8
quasi-Rect421-18gon0b
Diffraction
quasi-Rect421-18gon1b
Overlay
quasi-Rect421-18gon2b

30-gon Rectified E8
quasi-Rect421-30gon0b
Diffraction
quasi-Rect421-30gon1b
Overlay
quasi-Rect421-30gon2b

and another 12-gon rectified E8 pattern overlay from M. & N. Koca’s in “12-fold Symmetric Quasicrystallography from affine E6, B6, and F4”:
koca0b

koca1b

koca2b

Leave a Reply