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The Math Behind Hanging Paintings | Science News

What if pulling just one nail could bring down a painting? That simple puzzle sparked a whole new branch of math—k-out-of-n problems—where a painting stays up until exactly k nails are removed. Mathematicians have cracked solutions for any number, even shaving string wraps from 80 to 58 for a four-nail, two-removal scenario. It’s not just art hacks—it ties into group theory, knot theory, and even cryptography. The real magic? The playful exploration reveals deep structures we can’t yet predict. It’s math as creative discovery, proving that sometimes the most elegant breakthroughs start with a…

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