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Sum of Cubes VII (visual proof without words) 

Mathematical Visual Proofs
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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.
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
___________________________________________
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...

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14 окт 2024

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Комментарии : 40   
@alanthayer8797
@alanthayer8797 2 месяца назад
VISUALS Visuals visuals math geometric award goes to THIS CHANNEL. Consistent addiction !
@MathVisualProofs
@MathVisualProofs 2 месяца назад
😀👍
@BillGreenAZ
@BillGreenAZ 2 месяца назад
You sure have a gift for graphics. Thanks!
@MathVisualProofs
@MathVisualProofs 2 месяца назад
Thanks!
@eject118
@eject118 2 месяца назад
Anyone else recently realize they're a late-blooming math prodigy?
@Eman_Puedama
@Eman_Puedama 2 месяца назад
If I could just reverse time, I'd have a great future ahead of me.
@maynardtrendle820
@maynardtrendle820 Месяц назад
​@@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
@arctic215 16 дней назад
we all feel the same thing. Thankfully the only thing your now-future depends on is your present. Have fun learning.
@annipeiffer8326
@annipeiffer8326 2 месяца назад
we better be getting "sum of tesseracts" next video 🙏🙏🙏🙏🙏😭😭😭😭💀💀💀💀💀
@MathVisualProofs
@MathVisualProofs 2 месяца назад
I’ll see what I’ve got floating around…
@lollopollo2983
@lollopollo2983 2 месяца назад
Great video, next will be "Sum of 4th powers"😳
@daniel_77.
@daniel_77. 2 месяца назад
Sum of nth powers 💀
@MathVisualProofs
@MathVisualProofs 2 месяца назад
I got one in the cue.
@MathVisualProofs
@MathVisualProofs 2 месяца назад
Hmm. Tough challenge :)
@error_6o6
@error_6o6 2 месяца назад
@@daniel_77.that would be interesting
@Anonymous_MC
@Anonymous_MC 2 месяца назад
sum of nth roots
@kushshanker500
@kushshanker500 Месяц назад
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
@MathVisualProofs Месяц назад
See my channel (notice this video sum of cubes vii :)
@UserYouTube506
@UserYouTube506 2 месяца назад
Excellent!!! 🎉 I subscribed from Azerbaijan🇦🇿❤
@MathVisualProofs
@MathVisualProofs 2 месяца назад
Thanks! Welcome!
@mattkriese7170
@mattkriese7170 Месяц назад
Sum proof you got there
@MathVisualProofs
@MathVisualProofs Месяц назад
😀👍
@Seleniuss
@Seleniuss 2 месяца назад
Epic math!
@MathVisualProofs
@MathVisualProofs 2 месяца назад
😀👍
@Patrickoliveirajf
@Patrickoliveirajf 2 месяца назад
Amazing content 😊
@MathVisualProofs
@MathVisualProofs 2 месяца назад
Thank you 😁
@rafiahamed2978
@rafiahamed2978 2 месяца назад
❤❤❤
@MathVisualProofs
@MathVisualProofs 2 месяца назад
👍😀
@natashok4346
@natashok4346 2 месяца назад
CUubeatiful
@MathVisualProofs
@MathVisualProofs 2 месяца назад
😎
@Indojin13
@Indojin13 Месяц назад
Today I found my heaven😊🎉😎
@MathVisualProofs
@MathVisualProofs Месяц назад
Enjoy
@dougr.2398
@dougr.2398 2 месяца назад
Extending the gnomonic concept into 3 dimensions
@MathVisualProofs
@MathVisualProofs 2 месяца назад
😀
@proff9192
@proff9192 Месяц назад
Can show me program to use it
@asmaier78
@asmaier78 2 месяца назад
int x^3 = 1/4 x^4 == (int x )^2 = (1/2 x^2)^2
@maths.visualization
@maths.visualization Месяц назад
Can You Share Your Video Code ??
@EdMatthewMorales
@EdMatthewMorales 2 дня назад
A square
@vennstudios9885
@vennstudios9885 2 месяца назад
HEHEHEHEHEH IM THE 69TH VIEWER
@ayunda.alicia
@ayunda.alicia 2 месяца назад
Donwload
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