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The joddest Physicist and mathematician of all time☠️

It expands outwards

This proof only covers square pyramids, not tetrahedrons(triangular-base pyramids) or other pyramids. Would a similar approach work for them as well? Also, for this proof to work(the main argument here is that the six pyramids are equal), it must be that l=w=h, so would it work for pyramids inside a cuboid?

Cool

But then is the area of a sphere with r=1 approx 4.188 or approx 7.446?

Awesome as always

Great animations! Great work and explanation. If I may ask, what environment are you using? Adobe? Blender? Your own?

If a triangle becomes a tetrahedron, a square becomes a cube, a pentagon becomes a dodecahedron, then what do hexagons and octagons become?

this is uppercase pi (Π) its the same thing as sigma (Σ) but u multiply

Cursed sphere

Yeah... all well and good except for the algebra part at 2:06 to 2:26. It's not intuitively obvious how it works, I fact I've been stuck on it for hours and getting quite frustrated. There's no conceptual explanation of how the algebra part works and why you can cancel the 2s or whatever.

To find N primes, you have to store N/2 primes, no?

Truncated means the corners are sliced off

Truncated Icosahedron, AKA a football

Thats a soccerball, or a football if you arent american

Good now use integration to find it

The title of this video didn't lie ❤

Thank you so much sir❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Yeah but I want to know how Archimedes calculated Pi using only a stick with which to draw in the dirt.

All hail the Great Rhombicuboctahedron.

it is not related to chess

every time i watch, i end up smiling and learning something new!

Integrarion of circumference from 0 to r gives area of circle,.... 😊😊😊😊

THAT MF WAS AN ALIEN WTF

0:58 why some parts of the circle appears lighter than the other. Even tho the lines are same?

Do you know there’s a cum in a circumference

In my career of pipe welding/fitting...I put to memory...Pi X Diameter = Circumference. Use this for making laterals. Like a 12" on a 12"branch. I like the "long" method. Making a template out of .025" paper board. (like the paperboard cereal boxes are made from). I make the branch...Using Pi X Diameter to get the "stretch out" of the pipe (for the branch). There are several steps after this. Don't feel like writing them all out. Tape up the stretched out part so it is round, then mark the hole where the branch will go. Cut out the hole for the branch, grind it, then tack up the branch in place. Last, weld it out so there are no leaks.

π is equal to ∞. If you mean otherwise show me the last digit of π.

Its a beautiful proof. But I have one question. The realtionship you derived in the form of r1 + r2 + r3 is only applicable to an octagon. And so is the area formula you wrote down for the frustums and cones. So when you increase the sides of the polygon, shouldn't the area formula and the r1+r2+r3 relationship become wrong? Why is that allowed?

Nice

All d comments are highly complimentary to your method of explanation , because u illustrated the Pythagoras concept very well .Tq. Iike ur ecplanation also. Very good.

That the smaller angles show the proportionality of the coresponding smaller areas on the sides is a good rationale. I hope I have made myself clear to state the author's concept.

Thanks

Thank you

isn't it just the sum of the edges of an infinite number of cylinders? Just the circumference times dx

Wow

A teacher told me the formula over 65 years ago and I’ve never needed anyone to prove it.

😂

Yeah, you want more pie... Then go the gym, build bigger muscles. Buy a better style of clothing, and trim your hair artistically

Simple & *Short* You saved my *Time*

Understanding how this thing works is way better than memorizing all the formulas in the Geometry

wow this explains those concepts so well but doesn't get enough attention while most brain-rot or TikTok videos got millions of views this channel is definitely underrated and also most of the educational channels as a CZcams creator, I started because I also wanted everyone to study so the world could be a better place but many kids my age keep watching Skibidy toilet things and I am trying to draw their attention by making cat memes and baiting them to study but it seems that it didn't work so well also, I'm broke and need to pay students depth :)) anyways I'm subscribing :D and sorry if my English sucks it's my 5th language

This is the clearest explanation u can get online. Thanks

Why does it turn out to be pi every time you divide circumference by diameter?

Very nice

It was explained to me in grade school but.....I forgot.

So i imagine the person who came up with this sat struggling trying to figure out how to get a clean equation with a and b and x and y easily identifiable

It's still no a perfect rectangle 😂

π

Excellent explanation