Addendum to Computing and Visualizing 3-Dimensional Quasicrystals
by Josh Nolan and Cliff Reiter

Canonical projection is used to create 3D quasicrystals. We offer here some verification of "direct computations" along with Mathematica notebooks giving 3D models of figure in the paper. These pages are designed to supplement the manuscript "Computing and Visualizing 3-Dimensional Quasicrystals".


Mathematica notebook that checks the properties in Section 3
19k
Figure 4. A local configurationn for the I6-quasicrystal
19k Smaller neighborhoods in the I6-quasicrystal
19k
19k
19k
19k
19k
19k
Figure 6. Projecting a bounded range for the I6-quasicrystal
19k
Figure 7. Projecting a bounded range for the I6-quasicrystal
19k
19k
Figure 8. Two neighborhoods for the D6-quasicrystal with 26 and 25 neighbors.
19k
19k
Figure 9. D6-quasicrystal in Q(3)
19k
Two parallelepipeds in Q(6)
19k
All rectangular boxes in Q(3)
19k
Figure 10a. Neighborhoods in the D6-quasicrystal
19k
Figure 10b
19k
Figure 11a. Restricting Fig 10b to a single parallelepiped
19k
Figure 11b
19k
Figure 11c
19k
Figure 12. Restricting Q(3) to 2 parallelepipeds in the D6-quasicrystal


Goto link:
Cliff's Front Page
Cliff's Gallery of Fractals, Chaos and Symmetry