Sum Squares with Cuboids Visual Proof @MathVisualProofs

Uploaded July 2025 | Updated September 2026, 2 weeks ago

This is a short, animated visual proof for the sum of squares formula using cuboids and cuboidal shells. This is the fifth in a series showing various ways to find the famous sum of squares formula. If you want to see a slower wide format, check this out:

youtu.be/VYaEGvClg7Q

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Here are other visual proofs about the sum of squares formulas:

youtu.be/a8j3sBrXchg
youtu.be/WidzHiUFWNA
youtu.be/-tJhH_k2LaM
youtu.be/UqVmocdLFGc
youtu.be/Q-frL0Ot2m4

This animation is based on a visual proof by Sasho Kalajdzievski from the June 2000 issue of The Mathematical Intelligencer (doi.org/10.1007/BF03025282 pages 47--49 ).

To learn more about animating with manim, check out:
https://manim.community

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