hi~

It’s quite hard to upload videos from china because of YouTube being banned, but I’ll be back home in two/three months and will be uploading more frequently (i will try at least).

Same thing with Patreon..

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Support my animations on:

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Any further questions or ideas:

Email – thinktwiceask@gmail.com

Twitter –

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Programs used:

– Cinema 4D

– Adobe Premiere Pro

– Processing

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Music:

“so far away” by outlax

Nguồn: https://alexakopyan.com

Xem thêm bài viết khác: https://alexakopyan.com/tong-hop/

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## 42 Comments

awesome!!! when harmonic mean?

Awesome ✴️✴️

The explanation is great, though the music a bit "Silent Hill"-ish 🙂

You didn't do it for negative numbers 🙁

Great animation! It's very clear that h must always be less than or equal to r, but how would you prove that rigorously?

very nice. keep going.

This is my motivation to start reading the 6th Book of Euclid.

Simply loved it!

My Mind: Booooooooooom

What is this genre of music called and what else is similar? It's not something I would normally listen to but I really like it.

Awesome, thanks

What is this type of music called? Links to anything similar?

What a superb geometrical proof! 🙂

Everything about this is wonderful.

amazing！

Wait.. can someone explain how the 2 triangles had all equal angles?

Can someone please explain this to me!

I'm being very basic and saying that a and b are equal to 1 and 2, respectively.

(a+b)/2= 1.5

√ ab= √ 3= 1.732…

Um……

song??

what about harmonic mean?

Can you create some visualization for milanimum questions ?

Nice visualization of the geometric mean. BTW how do you visualize the geometric mean of 3 numbers?

those who disliked thought it meant "download"

Beautiful animation!

Cool, what program for this animation?

Sexy

Nailed it

This only applies if a+b is equal or greater than 2

from 3b1b

From 3b1b amazing recommendation it was

You're doing a great job. Keep it up. Your channel surely deserve more followers.

Now how do we add the harmonic mean?

Can you do one on why n/2.5+n is roughly the square root of 2n^2

what if 1 number is -ve? then lhs could be +ve or -ve but rhs would always be imaginary. i think abs(rhs) would be larger than abs(lhs)

and if both numbers are -ve? lhs would always be -ve and rhs always +ve. but abs both side will satisfy the original inequality

nice!

everything about this is perfect

This also shows that AM = GM only if a = b 🙂

Mind blown

That smooth animation woah

very nice my friend

before watching: Is it because a square is the maximal way to get an area rather than a rectangle?

edit: nope, your proof is much more visually appealing. I'm thinking of how to approximate square roots, and modeling them as rectangles is the easiest way to do so (which is why I thought of the comparison). The math also agrees

Lol, I still don't get why geometric mean is called geometric mean. It isn't as if it is the only mean with geometric significance.

Amazing. Please do upload more content.