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Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

Mathematicians are “reinventing the wheel” by giving it a new shape. Their newly imagined wheel looks like a many-dimensional guitar pick, and it could theoretically roll in ways beyond our ...

Math underlies many of the art pieces M.C. Escher created, because he was fascinated with the idea of depicting infinity in various ways, producing infinitely repeatable patterns known as ...