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Mathematics art from Collatz Conjecture sequences.

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Mathelirium

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21,618 просмотров • 1 год назад •via X (Twitter)

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A mathematical rule this simple should not look this alive Thousands of Collatz trajectories are folded through symmetry and grow into something thats almost botanical... ordered, delicate and strangely natural. Nome of this proves the Collatz conjecture, of course, but it is striking to see so much structure come from a problem that still resists proof. Maybe AI systems will crack this one.
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A mathematical rule this simple should not look this alive Thousands of Collatz trajectories are folded through symmetry and grow into something thats almost botanical... ordered, delicate and strangely natural. Nome of this proves the Collatz conjecture, of course, but it is striking to see so much structure come from a problem that still resists proof. Maybe AI systems will crack this one.

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From one of Mathematics’ most abstract ideas, a graph of nodes and edges, emerges something that feels almost alive.
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In the programming course I'm publishing, we build a small ISA / virtual machine from scratch, and we've just reached backwards jumps which means loops! Here's the sandbox implementation computing iterations of the collatz conjecture, it's fun to watch
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