Mathematicians say knots cannot exist in four-dimensional space because the extra dimension allows a rope to move around itself and untangle, revealing surprising insights into geometry and topology.

You have lots of ways of thinking about space. Some of these ways help you to judge the relative location of things over very large distances. For example, you can easily judge that New York City is ...

Recent theoretical advances have underscored the significance of momentum space geometry in the realm of relativistic physics. Traditional notions of flat momentum space are being re-evaluated in ...

High-dimensional spheres can have a much wider variety of structures than mathematicians thought possible. If you’ve ever been stuck in traffic on a rainy afternoon, you’ve probably watched raindrops ...

Physicists of the 19th century assumed that space was distinct from time – and two researchers now suspect they were correct to do so. Their conclusion, which comes from considering the behaviour of ...

The SpaceMath@NASA mathematics resource for teachers and students recently achieved a landmark number of downloads. On Feb. 23, 2011, a visitor downloaded the 3 millionth mathematics problem set from ...