This is because, when periodic crystal patterns are used in a laser, a low-power laser beam is created by the symmetry of the repeating pattern. Having defects in the crystal pattern or alternatively ...

It's the perfect illustration of what ... The mathematics behind how such never-repeating patterns are ... a low-power laser beam is created by the symmetry of the repeating pattern.

Math formulas have been used for artistic purposes for millennia, ... Yeganeh can produce many symmetrical abstract illustrations in one day, while producing the sailboat image, for instance, ... The ...

Lavished with many beautiful illustrations of this kind, Farris’ book is a joyful yet serious exploration of how mathematics can create beautiful patterns and provide us with a deep understanding of ...

Why do humans love to look at patterns? I can only guess, but I’ve written a whole book about new mathematical ways to make them. In Creating Symmetry, The Artful Mathematics of Wallpaper ...

The signature of a mathematical structure called E8 has been seen in the real world for the first time (Illustration: Claudio Rocchini under a creative commons 2.5 licence) A complex form of ...