The Mathematics of Symmetry 

6:58 was just casually thrown in there and I love it.

Whenever I click on these vids I expect High quality content and thats where Majorprep never fails me.

Top notch. Watched all 18 minutes. Keep it up! :)

I'm thinking of starting a major in mathematics for fun

That was awesome. I’m currently majoring in data analytics and mathematics, which is great but bloody hard work sometimes. Your videos remind me that the shit is still great fun, and why I chose this path in the first place 👍

Great job easily demonstrating the 5th roots of unity!

This was the best explanation by invention (which is the best way) of complex numbers I have ever seen. Even tho I got to know all this stuff from excellent professors in uni, THIS video still blew me away thanks to the angle from which you approached this. Big congrats!

I’m NOT interested in engineering or mathematics but somehow I managed to watch the whole video. You’re good at this bro! No, you’re great! :)

I took a course on group thoery in the prev semester, it's one of the most interesting I've taken yet. Everyone with an interest in mathematics should get into that

Nikola tesla even said geometry is like the language of the universe

Because of this channel... I develop interset in mathametics.... Thanks sir.....😀😀😀

I think your videos might be the best brilliant ad

6:57 funny but sad

I believe for multiplying two complex numbers - you multiply their distances from the origin, then add their angles. We see the adding of angles here, but as we are only dealing with complex numbers of distance 1 from the origin, the result is also a distance of one, hence why all the values here remain on that circle (1*1=1)

Thank you for the 20% off. I joined and I am loving it so far

I'm in high school and you explained everything so well I understood it all! Which makes me feel so good cause I've never felt good at math. I wish you were my teacher!

i won a shirt from the math and physics university because of this video :) they had 5 problems that you'd get a shirt for solving all of them and in 2 of them i specifically thought about this video and symmetry played a big role in the solution thank u big guy

You're the first person who actually made me even somewhat interested in Brilliant. I have seen a LOT of youtube videos sponsored by Brilliant, so that's impressive.

This looks really cool!

awesome video!! totally blew my mind

Many many Thanks ,Beautifully explained,.Hope to see more videos on advanced Calculus...

Learnt so much in one video.

Do one on sound. I always wanted to learn the musical scale. It would be easier to learn if a hidden relationship was easily observable.

Your videos are really great. I'm majoring in physics and it's nice to see you explain difficult things in an easy way. Keep up the good work! :)

Kickass video.

4:44 that table looks alot like the multiplication table of quaternions.... 🤔

The way you spun that whiteboard was rad...no pun intended.

Loved it

Was wondering if you could make a statistics or neuroscience video akin to your other college major videos. Granted, stats and neuro are less ubiquitous among undergraduate programs but it is possible that would be of interest.

Could you please make a video on the differences between electrical and electronic engineering? Thank you very much. keep up the good work.

I watched all your videos

Great explanation for yokels such as myself.

At time 11:05, the bubble with the crystalline pattern can best be done with a Soap/Sugar/CornSyrup solution at a temperature at or below -40 C or -40 F.

5:50 I believe the correct term is an abelian group. It has all the properties of a group but adds commutative property to it.

Hi, I like your videos very much. Can you please tell the relation between rotations of I and peg solitaire moves?

I remember when I was first presented with the Rubiks Cube solutions thing....at the time we hadn't officially solved it yet, but "experimentally" the most moves ever required to solve one had been 19 and it was theorized that either 19 or 20 was the true answer. Ah, the wonders of Google and how far it has brought us. (I worked on a Rubiks Cube for a year and never had a solution over 17 moves, so 18-20 move solutions are near-perfect scrambles and extremely rare)

What kind of notebook was that @0:39? It looks smaller than 10x10 per sq inch graph paper

Question: with the Cuba frame dipped in soap bubbles, where the soap films meet in the middle, you mention its a square not a point. Just curious if you know what the ratio of the square in the middle is in relation to the squares on the sides? I'm assuming it must be some constant ratio....just curious if its 1:3 or 1:6 or something cool like pi or e or something like that

I feel like I open my third eye when I watch your videos

The expression of 1+1 which is the simplest of all mathematical expressions and the most basic of all computations is in itself symmetrical!

I saw a RU-vid rewind with math and physics people, but was disappointed to not see MajorPrep in it. I didn’t watch it all.

Awesome.

Excellent, with one little niggle. The singular of criteria is criterion. (While we're there: the singular of phenomena is phenomenon; the singular of bacteria is bacterium; the singular of fungi is fungus.)

Where do you find those presentation motions and designs for your slides?

What you've said about soap film is a common misconception, but not wholly accurate. Soap film does not always evolve to global energy minima. It finds a local minima where the energy needed to leave the local minima is larger than the small deviations in energy in the bubble. If bubbles really did find global minima, we'd be able to easily solve the traveling salesman problem by simulating solutions to differential equations. But we can't. We can only find (often times quite good) approximate solutions.

It is madness to think symmetry can form out of chaos and time out of statistical entropy! But it is logical that a process of spherical 4πr² symmetry forming and breaking could form entropy with the potential for greater symmetry formation. When the spherical symmetry breaks, it could form the potential for the most beautiful of geometrical shapes, the spiral. We have photon ∆E=hf energy continuously transforming potential energy into the kinetic Eₖ=½mv² energy of matter, in the form of electrons. Could this process form a design pattern or template in the form of spherical geometry for self-organization and complexity to arise? Could a single geometrical process square ψ², t², e², c², v² forming the potential for mathematics? We need to go back to r² and the three dimensional physics of the Inverse Square Law. Even back to the spherical 4πr² geometry of Huygens’ Principle of 1670. The Universe could be based on simple geometry that forms the potential for evermore complexity. Forming not just physical complexity, but also the potential for evermore-abstract mathematics.

Can anyone recommend a video that shows the proof that there can be no formula to find the zeroes of a fifth-degree polynomial? I recently saw a video that showed how the quadratic formula can be derived algebraically, and it seems intuitive that such a derivation might be possible to any degree. Thanks!

What graph paper is that at 0:39?

Is this related ti super symmetry in string theory

Classification of topologycal spaces. For example every topologyval space has a homotopy group.

3:45 I already figured it out

hey man! can u make a vid on materials engineering?

The one reason I want to be a RU-vidr that has a real life portion is so that I can have multiple versions of myself.

I heard that despite the fact it was proven that there is no such equation for the fifth degree using roots, there was a way to find the solutions of a fifth degree's polynomial using elipses' equations. It's on wikipedia, at least. I did not see the equation(s) myself, but I don't think I would understand that anyway ^^

2:39 Doing nothing is a choice

What is the importance of Symmetrical patterns in Mathematics?

Now do a lecture on Groupon Theory.

Yaay

What is the significance of e? How did they come up with that number?

Why you don't have 1M subs?

If ever a video deserved a 👍 it is this at 6:56 🤣

02:55 Cannot brain la M2 not looking as symmetry as it is. Making quite sceptical on other triangle

4:46 it makes it algebra.

Wow

that intro was low key the best one so far

I'm thinking about doing an engineering physics major. Any comments.

Without 2:54 I would've been so lost.

Hey, I would suggest not using ".46" to represent 0.46. At least in my country that is super weird, nobody would understand it before thinking about it (we always write the 0).

🧠💪🤯

😎

Group theory in useful in chemistry.

Instead of point, you could have arranged your own small image (or only head) in the pentagon that would have been funny and eye catching. PS : maths is all about fun

bro, you are cool

But fun ;)

*Simba!* ...try

17:17 nonono! I'm a microtonalist.

Me likey

That intro... weird flex but ok

symmetry exists in languige too

400th like!

Of course, all good mathematicians can play frisbee

This video is symmetrical with my bed. No matter how I view it, I'll circling between my laziness and my sleepiness and I always ended up in bed.

Funny, nuclear reactors cannot be designed with symmetrical designs. Although some have they run into issues

I have my own definition of symmetry (Of an image) containing information that can be expressed as duplicates and variations of an original seed of information. Basically you only need to know part of the image to generate the rest

Isn’t “I” just the square root of -1 so “i” squared is -1

this lack of central symmetry pains in the miniature pains me so much.

I think the definition of "more symmetry" is subjective to some extent.

whoa this guy is muscular

EEE..EEY why xD

all of these swag ass editing skills went to waste, only 93k views :( (not that thats an extremely small amount, its small in comparison to the editing)

i think i found my math IA

Yeah once he got to all that .35i or whatever shit i just gave up

Dude perfect is amazing lol

Linear algebra is very similar to this.

hi 🤓

i thought the rubik cube example was so apt....there are 43 quintillion possible arrangements of a rubik's cube and it took google supercomputers days/weeks of computing to figure out that all solutions were 20 moves or less.....a perfectly useless investment of time in supercomputers to 'solve' a perfectly useless question that has no bearing on anything except playing a perfectly useless mechanical game

This makes me think of skateboarding

It’s a proven fact! Humans crave symmetry when finding spouses on dates Your welcome boys

p🆚ps

i know that it takes 19 because only 1 position takes 20 and thats not it cuber gang sub fifteen gang gang