10 Amazing Math Facts You Never Learned In School

Prepare to have your mind blown as we dive into the fascinating world of mathematics, exploring lesser-known facts and concepts that you won't find in a typical classroom. In this video, we'll uncover intriguing topics like palindromic numbers, spherical geometry, hyperbolic geometry, the Tower of Hanoi, the Mandelbrot Set, the Birthday Paradox, and more!

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.

[BriTheMathGuy]

🎓Become a Math Master With My Intro To Proofs Course! (FREE ON YOUTUBE)

[Ninja]

To add on to the birthday paradox, once u have 75 people, the chance that 2 share a birthday is already almost a gurantee already(≈99.97%), which is only about 1/5 of the 365 possible days

[marcusscience]

Optimal strategy for Towers of Hanoi with n disks (if present), from source peg A to target peg C using auxiliary peg B:
1. Solve optimally for the top n-1 disks (if present) from A to B (2^(n-1)-1 moves)
2. Move bottom disk from A to C (1 move)
3. Solve optimally for the top n-1 disks (if present) from B to C (2^(n-1)-1 moves)
Total: 2^n -1 moves

[justarandomdood]

I think vsauce + 3b1b + Numberphile is enough to cover all of these topics on YouTube, love seeing these things talked about more :)

[jaromanda]

I'm a twin ... when I was young, the probability for me to have someone in the same room with same birthday was close enough to 100% that it didn't matter 🤣

[ShubhGG]

i saw the banach-tarski paradox video by vsauce and that broke my brain beyond repair

[tzisorey]

"10 Amazin MATHS Facts!!"
Me: Why am I watching this?

Me: Why am I still watching this?



Still Me: Why did I watch that?

[lightning]

2:10 Love the Mobius strip at the New York Hall of Science.

[JakubS]

The Banach-Tarski Paradox animation made me laugh so much

[alexhenson]

5:19 it's not finite, it's in infinnite pieces.

[missinglegs]

"MATH FACTS YOU NEVER LEARNED IN SCHOOL"
Number 1: CALCULUS

It's like being that kid in primary school that shouts x^2=4 is also -2 or in high school asking "What about the irrational solutions"

... I mean they're interesting facts, the clickbait just annoys me

[محمدحارثبھائی]

Mandelbrot set is the most beautiful thing of mathematics ever found.

[wyboo]

121^2=14641 which is also the 5th row of pascal's triangle. in fact:

11^0 = 1
11^1 = 11
11^2 = 121
11^3 = 1331
11^4 = 14641

11^5 = 161051 seems to break the rule but:

11^5 = 10^5 * 1 + 10^4 * 5 + 10^3 * 10 + 10^2 * 10 + 10^1 * 5 + 10^0 * 1

so it has the fifth row of pascal's triangle but a little hidden due to the limits of a base 10 number system (in base with more digits the pattern would continue)

the reason the powers of 11 encode pascal's triangle is because pascal's triangle encodes the binomial coefficients, and:

11^n = (10 + 1)^n

[YenjiJem]

I would suspect that if 11^2 = 121 and 121^2=14641, then 14641^2 would be the palindrome 1248421 or something. But its not, its 154281241 which feels totally random and is kinds weird

[marble]

Bro the euclidean triangle gon' humbled

[kexcz]

Why is always the Mandelbrot fractal more popular than the Kochs snowflake fractal? :( I think it looks way more dope!

[rdspam]

Learning how to solve problems like 1^x=2 or x= π! opens a whole new world of math.

[youmu_i]

I think I watch too much math video, I already heard of all of them.

[microwave]

for the four colors theorem ( 3:07 ) are regions allowed to have exclaves? [Ex: Kaliningrad-Russia] i assume no since there are situations where it would not work if that were allowed

[benbensen_]

How to Tell, that I'm a math nerd: I acually knew every point on that list XD . Good Video tho!