We often think of the natural world as a chaotic, tangled mess of organic shapes and unpredictable growth, but every so often, nature reveals a hidden obsession with math. When you stumble upon ...

Many animals naturally develop asymmetric body parts; just look at the massive claw of the fiddler crab or the distorted Picasso-like face of the flatfish. But most mismatches are subtler. As a ...

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To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape. We are fond of saying things are symmetric, but what does ...

The Hubble Ultra Deep Field. Almost 10,000 galaxies. Looking back to when the universe was less than a billion years old. Source: Credit: NASA, ESA, and S. Beckwith (STScI) and the HUDF Team/Public ...