Long before anyone wrote down a number, early villagers were painting flowers with a precision that looks suspiciously like ...

On a set of broken clay bowls from northern Mesopotamia, delicate flower patterns have turned out to be something far more radical than decoration. New analysis of this ancient art suggests that early ...

“Symmetry and pattern are fundamentally human preoccupations in the same way that language and rhythm are. Any culture that is making anything has ornament and is preoccupied with this visual rhythm,” ...

Over 8,000 years ago, early farming communities in northern Mesopotamia were already thinking mathematically—long before numbers were written down. By closely studying Halafian pottery, researchers ...

SymmetryWorks! is a major interdisciplinary multi-event project at Bowdoin based on the mathematical art of Frank Farris, a mathematician at Santa Clara University. The event begins Sept. 12. In his ...

In his new book Creating Symmetry, Frank Farris uses ideas from advanced mathematics, such as complex analysis and abstract algebra, to transform snapshots of landscapes, flowers, or even his dinner ...

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 ...

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 ...

The boundary of a cell defines the shape and scale of its subcellular organization. However, the effects of the cell's spatial boundaries as well as the geometry sensing and scale adaptation of ...