collatz coral
A free generative art piece — play it in your browser, no install. the collatz conjecture, traced, scanned, and grown into a coral. one html file, no libraries, and a math problem nobody can solve.
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Open the live demo Source on GitHubFrom the README
so take any number, and if it's even you halve it, if it's odd you triple it and add one, and you just keep doing that. every single number anyone has ever tried ends up at 1, and the wild part is nobody on earth can prove they all do. it's been open since the 1930s and it's basically a meme in math circles cuz it looks like a homework problem and it eats careers.
this page lets you mess with it, and when you draw thousands of the paths on top of each other they grow into something that genuinely looks alive, like coral or seaweed. that's the whole reason it exists.
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