Scientists have crossed a startling new frontier in bioengineering: they can now fabricate intricate three-dimensional ...

The cosmos seems to have a preference for things that are round. Planets and stars tend to be spheres because gravity pulls clouds of gas and dust toward the center of mass. The same holds for black ...

It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move ...

Physicists have engineered photons that behave as if they inhabit a space far richer than the familiar three dimensions, ...

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 ...

Marvel at the tiny nanoscale structures emerging from labs, and it's easy to imagine you're browsing a catalog of the world's smallest pottery: itty-bitty vases, bowls, and spheres. But instead of ...

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,” ...

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 ...