DAMN!!

Oh Snap!

This is very, very underrated

Genuine spit-take

prank him john

:)

Yeah, they are straight forward, straighter than my teacher’s ruler

In order for this series to be infinite we must have at least one of the following: 1. You Tube would have to exist an infinite amount of time. 2 A method (in the future) to post an infinite amount of information. Not going to hold my breath.

This is wrong there is no 1/8 anywhere only 1/7

​@Tapoutkid No, the image he starts with is 1/8th, however: even infinite adding of the power of 1/8th will leave you 1/7th to the infinite power shy of the 1/7th suggested as the end result of this equation. Proof is mathematical. The stupid image is deceptive.

:)

good luck drawing that

correct, it cannot be drawn! You can fake it with approximately measuring 2pi/7, but there's no way to correctly draw this shape with arbitrary precision.

​@@Jonasz314I'm pretty sure you can draw a Heptagon with arbitrary (as good as you want) precision, just not with infinite precision.

@@tahamuhammad1814 they teach how to draw it in arts

The punchline i always heard is the bartender saying "this is why i hate serving mathematicians, they don't know their limits".

​@@KSignalEingang this

Matt parker moment

😂😂😂😂😂😂😂

Those mathematicians lovd getting high

aliens

This is the stuff you learn in calculus 2

Curse you Zuckerberg!

and the previous short is an officer adopting a stray dog

@@deathhunter1029 more like Precalc 😂

Exactly what I was thinking

Yes! Thank you!

I don't get it

​@@debkalpapal2682ever watched star wars?

@@kartikpoojari22 never really paid attention to shape(how can I when Darth Vader and Luke Skywalker are on scene)

It is also right for 3, but without geometric visualization: 1/3 + sum of (1/9)^i + 1/3*sum of (1/9)^i = 1/3 + 1/8 + 1/3*1/8 = 12/24 = 1/2 Or sum of (1/x)^i = = 1/x + sum of (1/x^2)^i + 1/x*sum of (1/x^2)^i = = 1/x + [1/(x^2 - 1)] + 1/x*[1/(x^2 - 1)] = = (x^2 - 1 + x + 1) / [x*(x^2 - 1)]= = (x^2 + x) / [x*(x^2 - 1)] = = (x + 1) / (x^2 - 1) = = (x + 1) / [(x + 1)*(x - 1)] = = 1/(x - 1) 🎉

​@@gustavojambersi9569 was looking for this, awesome!

Yea formula for sum geometric progression (with |q|

​@@DergaZuul 😆

For the case x=3... Take a line segment, divide it in 3 parts... the take 2 outer ones and paint them in 2 colors; Take the middle one... repeat the reasoning For the case x=2.... Take a line segment, divide it in 2 parts.... take the left one(or the right one) and paint them; Repeat the reasoning with the right one(or the left one) For the case x=1.... it breaks because 1/x = 1.... so the sum of powers would be 1+1+1+1+1+1+....

But what about 1/2?

@@user-oqqwlfi it goes to 1

@@ruthvikas no way

@@user-oqqwlfi check it if you want. It will

@@user-oqqwlfi yep its called a geometric series, where each number is half of the previous number. 1/1 + 1/2 + 1/4 + ... = 2 because (1/2)/(1 - (1/2)) = 1 and then you add 1 because the series begins with 1/1.

Don't be silly, everyone knows that spiders always deal in numbers divisible by 8!

@@smgdfcmfah one for each leg ;)

⁠@@smgdfcmfah40,000 things sounds like a lot to keep track of

Net's are fluids but most old pentagons are diagonal diamond's! . ..

If r is less than one a( 1 -r^n) /(1-r) r is great than one a(r^n- 1) /(r-1)

Just learnt this last quarter in my 10th grade, it's a really cool thing

Infinite worm hole, not outer space but outer universe ?

@@ThishVc-yp9xg what

The formula is easier to calculate if you use a = 1. It's the same series, just with an extra 1 at the start that you need to remember to subtract. a/(1-r) = 1/(1-1/8) = 1/(7/8) = 8/7 = 1 and 1/7. Subtract the 1 and you get 1/7.

I prefer the actual math coz I love to do it in a rationalist way. But when explaining to someone else, I appreciate visual proofs.

It maked me realise that heptagon isnt made from 6 triangles

Same lol

❤

🤓

Need to multiply both sides by then how comes 1 plus 1/8

That’s so dope

I prefer this comment to the video.

@@rainmanj9978 there's really nothing wrong, it's just a different way of proving that the series for any number N is 1/N + 1/N² + 1/N³ + ... = 1/(N-1)

​​@@rainmanj9978 1. This is actually a very poor explanation of the Ramanujan infinite series, as evidenced by the fact that you think this is disproving the video somehow. 2. The video is, in fact, not wrong. Please dear god do not go with your "instincts" or what you "know" if you don't actually know it. Especially when you could have looked it up. Or if you're going to live that way, please do not take any job where you're responsible for the lives of others. Rain Man, you most certainly are not lol no offense

OP, I vaguely remember what you're talking about, but could you explain it again, but this time actually explain it? As in, don't use such sparse shorthand that the only people who can understand you are the people who already know what you're talking about.

Just basic infinite gp sum A=1/8 ,R=18 Sum =A/1-R 1/8/7/8=1/7 Simple

Yes!!! that’s what I said!

​@@marcoscolga2439 wrong) It's 7.(0)1

right? no “it’s an approximation” comment. what a relief

Thats because for infinity it becomes exactly 1/7. Not nearly, exactly. The power of infinity

Well that’s one interpretation but if it wasnt exactly 1/7, it would mean there is a number closer to 1/7 than this one (because of Real number properties) and that cant be possible. So we conclude it is exactly 1/7. Infinity is not a “really big number”, it’s a limit. In the limit, it is EXACTLY 1/7. Kind of like how 0.999999… is exactly 1

If you don't get it, go back to roasting tweets

@@acolorred I get it, I just think it’s a really useless piece of knowledge that you’d have to force into conversation to ever make use of

A new hand touches the Baconator.

If you don''t get it, it's okay, me neither. I'm here for the jokes, so thanks for the laugh

@@Legithiro oh, I thought you were just making a joke, not actually being a jerk about it. What a plot twist!

I gotta enter this into a LaTeX engine, hold on

Actually they are called that because they are built from a geometric sequence... and a geometric sequence is one where each term is the geometric mean of its neighbors.

@@MathVisualProofs I hope to find out what on earth you meant one day!! Math is a beautiful journey, and I've barely gotten started :) people like you are the reason I love it despite knowing very little. Tysm!!!!!!!

@@thisrandomdude_instead of adding and dividing by two, you multiply and then get the square root. So 1/8*1/(8^3)=1/(8^4) if you get the square root of it to find the mean you get 1/(8^2) which is the term in the middle.

No; long before infinity, describing either the fraction or the shape will require more information than can be recorded in the future light cone of Earth. Information contains energy, and perfect compression is impossible: there is a large number that will never be named, as its name outmasses the universe.

lol

Glad it was helpful!

Please explain how he got 1/7th... I thought there were eight pieces to start with?

Is this matrices? Cause we are finishing up trigonometry

:)

because the equation is wrong, its not the sum that equals 1/7 its the Limit of the sum that equals 1/7.

@@SirUllrich Sir / Ma'am can you please elaborate your comment so I can understand it better... Cause with this little info I'll interpret your perception in the wrong way

@@anjalidwivedi2057 It's hard to explain without using proper mathematical symbols and I'm not a native english speaker, but I'll try. SUM(1/8^i) ist not equal to 1/7 it only aproaches 1/7, it never reaches it. because it is alway 1/8^(i+1) less than 1/7. Therefore the equasion shown at the end of the video is false. Imagine we both are 1m apart and you walk towards me but only half of the Way per step. After the first step our distance is 1/2m, next step 1/4m, than 1/8m and so on. You come very close but never reach me because there is allways half the distance left. If you make a visualization it looks like the distance is 0 because after 34 steps the remaining distance would be less than the size of an hydrogen atom. You see it could be misleading to visualize infinites.

@@SirUllrich Hi, thanks for explaining. I understand what you're saying. So I had the same thoughts when another video in this channel showed sum of powers of 2. The answer came out to be 1. But I was thinking that the sum ( as it tends to infinity) will keep on approaching 1 but will never reach 1. Someone in my comment corrected me but I was still confused.. So the same logic applies here. The sum will approach 7 but will never reach 7. And the example which you gave is Zeno's Paradox. It it when you walk half of the previous distance each time in a fixed distance, you will never be able to reach the final destination. But this paradox was proven wrong when the concept of Planck distance and Planck time came. Planck is the shortest and smallest of any physical quantity. So as in the example after reaching a particular point where the distance to the next step will be Planck distance or will take Planck amount of time, you will not be able to walk half of it, since it's the smallest. So you'll walk Planck distance each time and eventually will reach the end. BTW you're not native English speaker so where are you from, just curious. Have a nice day 🙃🙃

I mean my entire channel is visual proofs. But yes, I did a geo series video for each ratio of 1/n for n from 2 to 9: kzfaq.info/get/bejne/gNqVhKh_lr60qZc.html but shorts seem to get more exposure.

@@MathVisualProofs that's why I dropped the idea to subscribe

@@MathVisualProofs The visual proof was excellent. That said, this concept works for all n except n=0 and n= -1. The equation is 1/n = 1/(n+1)+ 1/(n+1)*(1/n). Even complex numbers, fractions and negative numbers work.

​@@angeluomo the _more inclusive_ equation is the one you provided. It can still be described in most cases by simply saying the infinite sum is 1/(n-1). That equation still works in every case but two.

​@@angeluomo except I just processed your claim that it even works for fractions... which makes sense, and an infinite sum can't exactly do the same trick... hmm. I guess it does open up more cases.

Thanks!

Yes that irked me too - edgy. But i saw the one about cubes cubed laying flat nestling each other and having to be split too and thought that was sort of similar in a weird way.

The entire point of the video is to show the result of the infinite geometric progression sum visually but ok

​@@Zaxas how bout I show you some of this knuckle sandwich?

@@fixafix69 bro got the whole squad laughing

the fifth dimension when it's absolute sphere

😀👍

is not,,,

Yes. It is. Check this out : kzfaq.info/get/bejne/gNqVhKh_lr60qZc.html

Every integer 2 or greater

Check this : kzfaq.info/get/bejne/gNqVhKh_lr60qZc.html

By drawing it with just the right side lengths, but that's not the point. As long as it's the same shape but smaller, you can repeat the process infinitely, and once you do, you have a perfect slice of 1/(n-1).

@@joshyoung1440 Oh, but it is the point, which you apparently did not grasp. The demonstration is specifically defined as a heptagon of an area 1/8 the total, and not any heptagon of any other size. Without specifying how this done, the demonstration is not repeatable.

you can prove it can exist, because you can scale the shape from the center up to a point.Consider now the contraction as a continous process. Since you go from the area to the original heptagon to zero in this process, at some point you reach a scale transformation that yields you the desired area, 1/8 of the original. (0

@@pablocanovas2779 And, no, you can't even draw a regular (perfect) seven sided figure with a compass and a straightedge. Even if you use your mathematical reduction you will only ever approximate it. 360÷7= 51.428571428571428 Etc degrees

ok, assuming you have already the heptagon, the scaling is constructible by straightedge and compas, that's what i meant

👍

🙃

Only infinite devine existence is always back to A God

Thank you very much!