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The quest to solve cubic equations led to duels, betrayals — and modern mathematics.

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.

The relationships among the properties of flexible shapes have fascinated mathematicians for centuries.

Mathematicians have long grappled with the reality that some problems just don’t have solutions.