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Physics can be beautiful🎉

Mag ich sehr gerne zuschauen!!😊

Are there any other examples of this where the sum of powers, is equal to another power of sums? I.e. where the 1^a + 2^a + 3^a + ... + n^a = (1 + 2 + 3 + ... + n)^b?

beautiful ! instant like and subscription!

Nice video, thanks for posting 😊

Лектор доказал эту теорему на занятии по математическому анализу, но не назвал её. Спасибо!

What software do you use to create the animation?

Why the B'AB is measure as 60° ?

The most epic introduction for a laptop ( play from 1:44 at 2x) Edit: Edited timestamp

In minute 1:36, why is (4 x pi x r squared) divided by 2 pi

Great proof

Amazing video; very clear!

Thanks a lot.

i just found ur channel and i neeeeeeeeed u i have trig identities test

please please please upload again

Anyone here from codeforces CodeTon?

"slightly"

fy!

That's literally the best video I have ever seen.

Thank you.

Super nice video!! Your efforts are really appreciated, if you could make a video like these for all geometry theorems in Olympiad it would be pretty cool and I guess would blow up pretty fast. I know it takes a tremendous amount of efforts so thanks!!! (PS how do you animated your videos?)

A great way to explain it by cutting the strips and then twisting them, thanks. I have one for you. If the formula for the surface area of a circle is πr2, should the volume of a sphere be πr3? I would love to see a visual explanation of that.

my hurt heads

The mathematical arm

I love this because it disproves that its chaos and unpredictable the verry fact it is simulated means it is predicted

12 hues of the color wheel. 12 tribes on planet earth. Chaos.

please come back! your vids are amazing please come back

this shit made me feel like i was in a coldplay concert

This is very usefull thank you

for the quadrilaterall, let A,B,C,D in order be the points of the quadrilateral and x the candidate for the "fermat" point. we want to minimize |x-A|+|x-B|+|x-C|+|x-D|. We take the gradient with respect to x and get (x-A)/|x-A|+....+(x-D)/|x-D|=0 for the minimum (assuming it exists). So let a,b,c,d be the vectors that are in the same direction as x-A,...,x-D but with unit length. This means we want a+b+c+d=0, since vector adition is tip to tail this means that we have a quadrilateral with lengths of the same size, ergo they consititue a rombus ergo it is a parallelopiped, so a+c=0, b+d=0. This means that x is between A and C as well as B and D. Meaninf that x is the intersection of AC and BD.

Beautiful vishuvalization

Bravo 👏

i build this in minecraft

Question, how do we know that every polygon has at least one convex vertex ( I assume that is a vertex that has an angle < 180 with its neighbouring sides?) in the first place, so that the diagonal algorithm can work?

Ну и как мне к этой хуйне придумать 5 вопросов?

Why did last fractal not have pentagonal symmetry?

dragon curve is copied on one end and rotated 90°, julia set is complex square rooted, which is halved angles on one point and copied 180° around it and square rooted distances. dragon curve kinda looks like julia sets. I'll try make a mandelbrot set for dragon curves and see if it's fractal or something boring like circle. the most obvious way of doing it with moving the point of copy and rotate is circle.

thank you, this animations make every thing clear to me

thank you, this annumation make every thing clear to me

The pentagonal fractal might me wrong. I made my own code and it looks nothing like the video; plus, you would expect it to be rotationally symmetrical

Did this process upto 19 iterations on AutoCAD and the result looks amazing

This is such an amazing site to learn, once again, the concepts we knew only as written proofs. Please keep up the good work and you may want to take a look at the geometrical shapes of the ancient Astronomical Clock "Jantar Mantar"

This blew my mind, and was extremely visually satisfying. Well done!

Great video. Can you please do a series on how Hindu mathematicians dervived sine, cos, arctan and pi and tan. What was their understanding of series. This would be a wonderful series😊.

Looks like Brownian motion.

wtf

Now do triple pendulum

Thanks for this amazing video. I could write this algorithm in C to support triangulation of OBJ files in my 3d-ascii-viewer program. There are more efficient algorithms in literature but this one I could understand.

it's brilliant! thanks for making this vedio. it was really helpful to prepare shcool presentation!