Summing cubes without words #phonk #phonkmath

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Summing cubes without words #phonk #phonkmath

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Mathematical Visual Proofs

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111,733 Views • Apr 16, 2024 • Click to toggle off description

This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging cubes into a flat square.

If you like this video, consider subscribing to the channel or consider buying me a coffee: www.buymeacoffee.com/VisualProofs. Thanks!

Here is a longer version of this proof :    • Sum of Cubes IV (Nicomachus's Theorem)

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

   • Visual Sum of Cubes II
   • Sum Of Cubes I (visual proof)
   • Visual Sum of Cubes III

This animation is based on independently discovered, separate visual proofs by J. Barry Love from the March 1977 issue of Mathematics Magazine (www.jstor.org/stable/2689727), page 74, and Alan L. Fry from the January 1985 issue of Mathematics Magazine (www.jstor.org/stable/2690228) , page 11.

This is my version of a classic visual proof. Here are other renditions:
   • Nicomachus's theorem | Visualisation ...   by @ThinkTwiceLtu
   • Nicomachus's theorem | visual proof |...   by @Mathocube
   • Animating Nicomachus's 2000 year old ...   by @Mathologer

#mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discretemath #calculus #sum #induction

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

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Views : 111,733
Genre: Education
License: Standard YouTube License
Uploaded At Apr 16, 2024 ^^

warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.864 (303/8,626 LTDR)

96.61% of the users lieked the video!!
3.39% of the users dislieked the video!!
User score: 94.92- Overwhelmingly Positive

RYD date created : 2024-09-01T19:04:44.080885Z
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Nyo connections found on the description ;_; report an issue lol