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Mathematicians Discover New Shapes to Solve Decades-Old Geometry Problem

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Facts and proof matter here: Proof provides fresh tools to attack famed Riemann hypothesis, math’s biggest unsolved problem. But it's still racist.

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What are the odds of that? [589x680 - 606KB]

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‘Sensational’ Proof Delivers New Insights Into Prime Numbers

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The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples

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What Can Tiling Patterns Teach Us?

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Visualization of the fact that the exterior angles of a polygon always add up to 360 degrees [0:13]

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Visualization of Pi being Irrational [1:30]

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Visualization of Nicomachus's Theorem [0:26]

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Counting in Denmark (a bit odd)

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Bix Nood maffs [1:21]

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Yay! [720x960 - 88KB]

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Dividing by Zero in Five Levels -- Elementary to Math Major

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‘Entropy Bagels’ and Other Complex Structures Emerge From Simple Rules

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The Quest to Decode the Mandelbrot Set, Math’s Famed Fractal

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"Impossible" Puzzle Solved After 243 Years Using Quantum Entanglement | IFLScience

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Math is racist [460x345 - 106KB]

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A Triplet Tree Forms One of the Most Beautiful Structures in Math | The Markov numbers reveal the secrets of irrational numbers and the patterns of the Fibonacci sequence. But there’s one question about them that has resisted proof for over a century.

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‘A-Team’ of Math Proves a Critical Link Between Addition and Sets - team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it with a computer-assisted proof.

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[2310.10631] Llemma: An Open Language Model For Mathematics

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The Hidden Connection That Changed Number Theory | Quadratic reciprocity lurks around many corners in mathematics. By proving it, number theorists reimagined their whole field.

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The math problem that took nearly a century to solve

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Visualizing quaternions, an explorable video series

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Rational Approximation For Hitchin Representations - Jacques Audibert And Michael Zshornack

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Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion