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 ...

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.

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 ...

What laws govern how chemicals pass through filters? How do droplets of oil move through layers of stone? How do blood cells travel through a living organism? A team of researchers led by the ...

Observations show the universe appears flat, yet its true size and global shape beyond the observable horizon may remain forever unknown.

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 ...