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 ...

Complex question Could the geometry of chaos play a role in quantum physics and even be a fundamental property of the universe? (Courtesy: iStock/gremlin) Tim Palmer’s provocative proposal is that the ...

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 ...