There is a rule in mathematics that feels so obvious it barely seems worth stating. Yet accepting it leads to objects with no ...

When Lisa Piccirillo solved a decades-old mystery about the “Conway knot,” she had to overcome the knot’s uncanny ability to hoodwink some of the most powerful tools mathematicians have devised. Known ...

Hannah Larson is obsessed with understanding what happens when two or more mathematical objects intersect. Larson, a mathematician at the University of California, Berkeley, and a research fellow at ...

The theorists who first created the mathematics that describe the behavior of the recently announced "invisibility cloak" have revealed a new analysis that may extend the current cloak's powers, ...

Researchers demonstrate that our brain need only perform a few lightning-fast statistical calculations to detect key properties of unknown objects. From a child snapping Legos together to a pickpocket ...