Sum of Cubes VII (visual proof without words)

This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging two stacks of cubic arrays.
If you like this video, consider subscribing to the channel or consider buying me a coffee: www.buymeacoff.... Thanks!
Here are six other visual proofs of sum of cubes formulas:
• Sum of Cubes as Sum of...
• Sum Cubes with Triangl...
• Sum of Cubes IV (Nicom...
• Visual Sum of Cubes II
• Sum Of Cubes I (visual...
• Visual Sum of Cubes III
This animation is based on a visual proof by Tom Edgar from the September 2024 issue of Mathematics Magazine (doi.org/10.108... page ??).
To learn more about animating with manim, check out:
manim.community
#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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Music in this video:
Epic Cyberpunk | GLORY by Alex-Productions | onsound.eu/
Music promoted by www.free-stock...
Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
creativecommon...

[@eject118]

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

[@Eman_Puedama]

If I could just reverse time, I'd have a great future ahead of me.

[@maynardtrendle820]

​@@Eman_PuedamaJust do it now, brother! Check it the OEIS (Online Encyclopedia of Integer Sequences). If you end up with some good ideas- it's a good place to start trying to publish them!🐢

[@arctic215]

we all feel the same thing. Thankfully the only thing your now-future depends on is your present. Have fun learning.

[@alanthayer8797]

VISUALS Visuals visuals math geometric award goes to THIS CHANNEL. Consistent addiction !

[@MathVisualProofs]

😀👍

[@lollopollo2983]

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

[@daniel_77.]

Sum of nth powers 💀

[@MathVisualProofs]

I got one in the cue.

[@MathVisualProofs]

Hmm. Tough challenge :)

[@error_6o6]

@@daniel_77.that would be interesting

[@Anonymous_MC]

sum of nth roots

[@annipeiffer8326]

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

[@MathVisualProofs]

I’ll see what I’ve got floating around…

[@UserYouTube506]

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

[@MathVisualProofs]

Thanks! Welcome!

[@natashok4346]

CUubeatiful

[@MathVisualProofs]

😎

[@vennstudios9885]

HEHEHEHEHEH IM THE 69TH VIEWER

[@kushshanker500]

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?

[@MathVisualProofs]

See my channel (notice this video sum of cubes vii :)

[@BillGreenAZ]

You sure have a gift for graphics.
Thanks!

[@MathVisualProofs]

Thanks!

[@Seleniuss]

Epic math!

[@MathVisualProofs]

😀👍

[@Patrickoliveirajf]

Amazing content 😊

[@MathVisualProofs]

Thank you 😁

[@Indojin13]

Today I found my heaven😊🎉😎

[@MathVisualProofs]

Enjoy

[@mattkriese7170]

Sum proof you got there

[@MathVisualProofs]

😀👍

[@maths.visualization]

Can You Share Your Video Code ??

[@asmaier78]

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

[@dougr.2398]

Extending the gnomonic concept into 3 dimensions

[@MathVisualProofs]

😀

[@ayunda.alicia]

Donwload

[@rafiahamed2978]

❤❤❤

[@MathVisualProofs]

👍😀

[@proff9192]

Can show me program to use it