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 ...

There is a rule in mathematics that feels so obvious it barely seems worth stating. Yet accepting it leads to objects with no size, spheres that duplicate themselves, and sets that cannot be measured ...

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, ...

By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far ...

Yes I see them all the time. Thru polarized glasses looking thru ceramic tinted window. We unknowingly live in a 3d blocked world. Some see in 2d 3d some see in 3d and 4d. It's a beautiful chaotic ...

Most of us take it for granted that math works—that scientists can devise formulas to describe subatomic events or that engineers can calculate paths for space­craft. We accept the view, initially ...

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 ...