We all know we live in three-dimensional space. But what does it mean when people talk about four dimensions? Is it just a ...

Van Vleck’s largest lecture hall was filled to the brim for popular YouTuber Grant Sanderon’s talk on high-dimensional ...

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.

For decades mathematicians have searched for a specific pair of surfaces that can’t be transformed into each other in four-dimensional space. Now they’ve found them. In geometry and the closely ...

Scientists have demonstrated a powerful technique that will allow quantum computers to store much more information in photons of light. The team managed to encode eight levels of data into photons and ...

A pair of photons enters an optical maze, and sometimes they leave as something new. Not new in the everyday sense, since both were still photons when they came out. But new in the way they share ...

Ever wondered what four dimensions really mean? Discover why knots can’t exist in 4D space — and how mathematicians use cubes and clever analogies to understand higher dimensions.