Nested Powers of 2 Hypocycloids (synthwave enumeration) @MathVisualProofs

Updated September 2026, 1 week ago

Nested Powers of 2 Hypocycloids (synthwave enumeration)

Geometric sum of powers of 1/3 (v. III visual proof in a hexagon)

$Simpson’s Paradox Visually! In this short video, we show how to think about Simpsons paradox visually in terms of vector arithmetic. In particular we show that ratios can be represented by slopes of lines (or slopes of vectors) and then we can have an interesting slope reversal when adding as you would add proportions or statistics (not usual fraction arithmetic). If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! The visual proof in this video is based on a proof without words by Jerzy Kocik from the December 2001 issue of Mathematics Magazine ( https://www.jstor.org/stable/2691038 page 399). #mathshorts #mathvideo #math #statistics #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #paradox #simpsonsparadox #simpson #derekjeter #davidjustice #baseball #proportion #vectors #vectoraddition #battingaverage #data To learn more about animating with manim, check out: https://manim.community$

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Nested Powers of 2 Hypocycloids (synthwave enumeration)