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Fibonacci Squares Sum (visual proof)
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This is a short, animated visual proof demonstrating the sum of the squares of the first n consecutive Fibonacci numbers. #fibonacci #math #manim #mathvideo #calculus #mtbos #mathshorts #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #series #finitesums #finiteseries #geometric #squares
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Also, check out my playlist on other finite sums:
This animation is based on a proof by Alfred Brouusseau from "A Primer for the Fibonacci Numbers by M. Bicknell and V.E. Hoggatt Jr (eds.). You can also find this proof in Roger Nelsen's first Proof Without Words compendium (page 83).
To learn more about animating with manim, check out:
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Music in this video:
Attribution 4.0 International (CC BY 4.0)
If you like this content, please consider subscribing.
Also, check out my playlist on other finite sums:
This animation is based on a proof by Alfred Brouusseau from "A Primer for the Fibonacci Numbers by M. Bicknell and V.E. Hoggatt Jr (eds.). You can also find this proof in Roger Nelsen's first Proof Without Words compendium (page 83).
To learn more about animating with manim, check out:
______________________________
Music in this video:
Attribution 4.0 International (CC BY 4.0)
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