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 ...

Jan. 25, 2006 — -- For anyone who struggled through high school geometry, here's some depressing news: Even people in one of the most remote cultures on the planet are able to master it ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Life begins with a single fertilized cell that gradually transforms into a multicellular organism. This process requires precise coordination; otherwise, the embryo could develop serious complications ...