Frank A. Farris does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks--a sort of potato-stamp ...

In essence, it’s a type of symmetry breaking. Any two processes that act as activator and inhibitor will produce periodic patterns and can be modeled using Turing’s diffusion function. The challenge ...

A tool ' EscherSketch ' that can draw surprisingly complex and beautiful patterns with simple movements just by moving the cursor randomly is released. Not only the pen tool but also shapes such as ...

In an early chapter of his interesting new book, Symmetry: A Journey Into the Patterns of Nature, Marcus du Sautoy describes a visit to the Alhambra, the great Moorish palace in Granada, Spain. He and ...

To most people, “symmetry” means the bilateral symmetry exhibited by, say, a butterfly, or the human face. That is, if you take a picture of a butterfly and draw a straight line down the middle of the ...