Sum Cubes with Triangles (visual proof without words V)

Опубликовано: 09 Декабрь 2023
на канале: Mathematical Visual Proofs

6,388

364

This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging triangular arrays into a larger triangular array.

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Here are four other visual proofs of sum of cubes formulas:

   • Sum of Cubes IV (Nicomachus's Theorem)
   • Visual Sum of Cubes II
   • Sum Of Cubes I (visual proof)
   • Visual Sum of Cubes III

This animation is based on a visual proof by Parames Laosinchai from the December 2012 issue of Mathematics Magazine (https://www.jstor.org/stable/10.4169/... page 360).

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

#mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discretemath #calculus #sum #induction
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Voice of Earth by Alex-Productions | https://onsound.eu/
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Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
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