Sum of Cubes VII (visual proof without words)

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This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging two stacks of cubic arrays.

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

To learn more about animating with manim, check out:

#mathshorts​ #mathvideo​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #finitesums #discretemath #calculus #sum #induction #faulhaber #sumofcubes #cubes
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VISUALS Visuals visuals math geometric award goes to THIS CHANNEL. Consistent addiction !

alanthayer
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You sure have a gift for graphics.
Thanks!

BillGreenAZ
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Anyone else recently realize they're a late-blooming math prodigy?

eject
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we better be getting "sum of tesseracts" next video 🙏🙏🙏🙏🙏😭😭😭😭💀💀💀💀💀

annipeiffer
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Great video, next will be "Sum of 4th powers"😳

lollopollo
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loved this! could we also get a visual proof of why the sum of first n cubes is equal to the square of the sum of the first n numbers?

kushshanker
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Excellent!!! 🎉
I subscribed from Azerbaijan🇦🇿❤

UserYouTube
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Extending the gnomonic concept into 3 dimensions

dougr.
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int x^3 = 1/4 x^4 == (int x )^2 = (1/2 x^2)^2

asmaier