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How to Solve Equations That Are Stubborn as a Goat
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.
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The Mysterious Math of Perfection
Enter the world of perfect numbers and explore the mystery mathematicians have spent thousands of years trying to solve.
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The Crooked Geometry of Round Trips
Imagine if we lived on a cube-shaped Earth. How would you find the shortest path around the world?
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Some Math Problems Seem Impossible. That Can Be a Good Thing.
Struggling with math problems that can’t be solved helps us better understand the ones we can.
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The Simple Math Problem We Still Can’t Solve
Despite recent progress on the notorious Collatz conjecture, we still don’t know whether a number can escape its infinite loop.
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The Math of Social Distancing Is a Lesson in Geometry
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.
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To Win This Numbers Game, Learn to Avoid Math Patterns
Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.
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How Rational Math Catches Slippery Irrational Numbers
Finding the best way to approximate the ever-elusive irrational numbers pits the infinitely large against the infinitely small.
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How Simple Math Can Cover Even the Most Complex Holes
No one knows how to find the smallest shape that can cover all other shapes of a certain width. But high school geometry is getting us closer to an answer.