In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

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 ...

Albert Einstein's general theory of relativity describes gravity as the warping of space-time geometry by mass, a concept distinct from Isaac Newton's absolute space and time, and has been empirically ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Paul Sutter is an astrophysicist at The Ohio State University and the chief scientist at COSI ...