Add Yahoo as a preferred source to see more of our stories on Google. Fano varieties are known as the basic “atomic structure” of geometry, but are notoriously difficult to discover and organize.

Imagine that you want to know the most efficient way to make a torus—a doughnut-shaped mathematical object—from origami paper. Instead of seeming almost perfectly smooth, the torus that you envision ...

In nature, many things have evolved that differ in size, color and, above all, in shape. While the color or size of an object can be easily described, the description of a shape is more complicated.

Sometimes visualising a geometrical proof can make understanding it so much easier. Now mathematicians Elizabeth Slavkovsky and Oliver Knill, both of Harvard University, have taken a step in that ...

Last spring, mathematician Henry Segerman found a peculiar post on Facebook. It was by a programmer who had could not conjure mental images---a condition called aphantasia. Segerman immediately ...

Scientists studying graphene’s properties are using a new mathematical framework to make extremely accurate characterizations of the two-dimensional material’s shape. Graphene, discovered in 2004, is ...