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Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.
Math teachers have stymied students for hundreds of years by sticking goats in strangely shaped fields. Learn why one grazing goat problem has stumped mathematicians for more than a century.
Struggling with math problems that can’t be solved helps us better understand the ones we can.
How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.
Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.
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