Alexander Bobenko has spent the past 20 years chewing on mathematical doughnuts. In the 2000s, he tried to prove that compact ...

In 1867, French mathematician Pierre Ossian Bonnet proved something that seemed like common sense: if you know how far apart ...

Physicists have directly mapped a hidden kind of geometry inside quantum materials that steers electrons in ways strikingly ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in two-dimensional (2D) and three-dimensional (3D) settings. The rules of Euclidean ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

Neuroscientists are exploring whether shapes like squares and rectangles — and our ability to recognize them — are part of what makes our species special. Credit...Video by Yoshi Sodeoka Supported by ...

Dan Malouff is a transportation planner for Arlington and an adjunct professor at George Washington University. He uses this byline for Photo Friday posts, but you can find his other writing under the ...

Designers have been playing with six-side patterns or gemstones cut into hexagonal shapes. By Ming Liu The jewelers’ love affair with Art Deco shapes shows no signs of slowing. And the latest form to ...