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 ...

The book Flatland: A Romance of Many Dimensions by Edwin A. Abbott explores the concept of physical dimensions through characters who encounter higher-dimensional beings. The protagonist, “A. Square,” ...

Yes, it is possible to create a three-dimensional image of a four-dimensional object: a hypercube is the four-dimensional analogue of a cube, and it has a well-known three-dimensional image that looks ...

Spacetime isn’t something that exists; it’s a model for describing how events happen. Treating events as objects creates philosophical confusion and fuels misconceptions, such as time-travel paradoxes ...

When you are sent to do a bit of work experience in the office of a university science department you don’t normally expect much more than a bit of boring filing and some tedious photocopying. So ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

Company literature describes Volocity as "the first true color 4D rendering system designed for biomedical imaging." Andrew Waterfall, Volocity president, expands on that definition, explaining that ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier- sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...