How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Here’s what you’ll learn when you read this story: Mathematical evidence indicates that our universe is flat, but it could be infinitely big, as well. You can figure out if an object is flat with a ...

Brain activity is structured in space and time. The resulting activity patterns are conventionally thought to depend on an intricate web of anatomical connections that link specialized populations of ...

When you purchase an independently reviewed book through our site, we earn an affiliate commission. “Girls can’t do Euclid: can they, sir?” “The Mill on the Floss” contains one of George Eliot’s ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

Shape-from-shading (SFS) is a computer vision technique that draws upon light and shadow patterns to reconstruct an object's ...

A new kind of shape-shifting material can twist, bend, and snap into more than a dozen three-dimensional forms—no motors or ...

Rose petals' unique shapes come from stress during growth. Differential growth and mechanical stresses create curled edges. Research shows petals violate a mathematical condition, causing stress.