Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the sum of rotated plane waves animated by a phase parameter , where the density at a point is given by



For certain values of , you will observe a repeating crystalline pattern, which according to the crystallographic restriction theorem will be limited to 2-fold, 3-fold, 4-fold, or 6-fold rotational symmetry. Quasicrystals are very similar to crystals in that they have a highly ordered structure and rotational symmetry, but do not have the same restriction on the order of rotational symmetry. The crucial difference is that quasicrystals have no translational symmetry, so the patterns never repeat themselves.


Contributed by: Richard Hennigan (August 2014)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.