The Manifold Clock Kickstarter project embraces the mathematical concept of Riemann surfaces to create an artsy 3D timepiece that expresses time through shape and movement. Freelance writer Amanda C.

The original version of this story appeared in Quanta Magazine. Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics. Standing in the middle of a field, we can ...

Eugenio Calabi was known to his colleagues as an inventive mathematician — “transformatively original,” as his former student Xiuxiong Chen put it. In 1953, Calabi began to contemplate a class of ...

A geodesic in a Riemannian homogeneous manifold (M = G/K, g) is called a homogeneous geodesic if it is an orbit of a one-parameter subgroup of the Lie group G. We investigate G-invariant metrics with ...