Every Complex Geometry Shape Explained

[@ThoughtThrill365]

Let me know if there's a topic you'd like me to cover next. 😊

[@mono6198]

all infinities explained

[@ririscouture]

hiHi

[@Martan2010]

an explanation why is 6=9 (a higher dimensional calculation or whatever) edit: is it even true tho?

[@Crystvl_X]

😅

[@TaylorCoffman87]

Yes, I skimmed through your list of videos and didn't see anything on "DOE Explains...The Strong Force" If you wanted to touch on Quarks and Gluons too that would be really cool. really enjoyed my first video of yours and wondering what else I can learn, keep it up!

[@davidhopkins6946]

Mathematician: Yay! I proved it! Weierstrauss: No you didn't.

[@Are3.14]

Weierstrass* :)

[@minirop]

In "Benoit B. Mandelbrot, the B. stands for Benoit B. Mandelbrot"

[@daniel_77.]

It took me a while to realize what you did

[@CosmicHase]

Benoit Benoit B. Mandelbrot Mandelbrot?

[@josephjohnson313]

@@CosmicHase Benoit Benoit Benoit B. Mandelbrot Mandelbrot Mandelbrot

[@DhoklaAboveVadapav]

f(B)= benoit B Mandelbrot fof(B)= ?

[@rayzhao491]

@@josephjohnson313 Benoit Benoit Benoit Benoit B. Mandelbrot Mandelbrot Mandelbrot Mandelbrot

[@soulsofspirit9729]

5:30 Literally the best explanation of a function. It takes a number, does a bunch of stuff to it, and spits out an answer.

[@isavenewspapers8890]

Yes, for a function on numbers, this is true. However, a function does not necessarily take a number as input. It can take in a vector, a matrix, a set, or even another function, among many other things.

[@MrTicky4]

Oh boy, wait until you find out about functionals (a function that takes in a FUNCTION, does something to it and spits out an answer). Mathematics is just getting started.

[@TheAdriyaman]

@@isavenewspapers8890 In computer science a function can also take nothing as input

[@soulsofspirit9729]

@@isavenewspapers8890 I did not know that, I’m not that deep into mathematics.

[@ThePenguinMan]

how else would you explain functions???

[@jerometeor]

I can't help but be amazed at how original the ideas of German mathematicians from 19-20th centuries were.

[@lijauju]

this made me think of how Gottlob Frege was a German mathematician from that same time period that laid out the principles for the study of logics which ended up as the basis for semantics

[@QuantumEcho-d4q]

They weren’t these concepts existed thousands of years prior in africa.

[@kyb7795]

Am listening ​@@QuantumEcho-d4q

[@blueffect87]

Proof ​@@QuantumEcho-d4q

[@notstandingwithukraine9478]

@@QuantumEcho-d4qyes in your woke bubble only

[@HermesKhadivar-n5l]

11:34 now watch the video again and take a shot every time he says "german mathematician"

[@rutterj2]

I like a challenge

[@borisslavchev1328]

Ight bet

[@borisslavchev1328]

its 5 shots weak

[@cnone3785]

Will that help me understand more than those 2 words.. I think he just played on words with words there at the end .

[@RishwanaHoque]

i cant decide if my life is really good or pitiful based off of the fact that im watching a video explaining mathematical concepts that aren't in my syllabus-

[@octosquid48]

Hey, at least you're not listening to your teacher talking your ear off

[@scarletevans4474]

1:15 Dude, WTF! I think I checked like few times in past what this fractional dimension thing is and I never really grasped it, but the way you explained it is so simple!! Just consider the way it scales and you get the dimensionality! Thank you! ♥

[@damarzrealm7731]

You forgot my blanket at 3am

[@shaquille6566]

1:32 The logarithmic notation of the emoji 😅to base 😄 is some next level genius explanation. Now, I'll never use the emoji without thinking about logarithms

[@suhnih4076]

“log😄 😅 = 💧” 💀

[@cosmax1448]

😂😂

[@Yarik_X]

He's not wrong tho

[@AzarinthUnknown]

i hate i understood that

[@Daffa_am.]

Still water😱😱😱

[@Tayhay]

thought this has way more views, just realized its below 1k, awesome quality

[@LearnWithPaint]

The explanations of fractals like the Serinsky Triangle and the concept of fractal dimension blew my mind. It's amazing how mathematics can turn seemingly simple objects into something so intricate and beautiful, especially with fractals like the Mandelbrot set. Awesome content!

[@TheMiguelHuey]

Sierspińky*

[@lixin_9660]

​@@TheMiguelHuey Sierpiński*

[@TheMiguelHuey]

@@lixin_9660 oops

[@emmanuelsimaurio6078]

The Legend of Zelda fans on the first one: ITS THE TRIFORCE

[@OtakuUnitedStudio]

Forget the Quad Force theory, I wanna see the Infinite Fractal Triforce theory

[@Arsjdaj_]

link mentioned!!!!

[@betterwatchoutformeee]

I was looking for this comment lol real

[@n-1275]

I opened the video just to see if someone said something about that 😂

[@noonesknight]

when your youtube feed is so cooked that you watch "every geometric shape explained"

[@leonardotmcateer16]

and you enjoyed it because its a banger

[@AustinTheWeenieTickler]

i have absolutely no idea what this video just said but i love it

[@jsalsman]

If you're a mathematician and you find yourself compelled to denounce a function, it's time to take a step back and re-examine all the pertinent premises.

[@FoxMechanic]

Take a shot every time he says "Named after German mathematician-" Jokes aside, cool video!

[@lukatolstov5598]

0:25 IDK he was from Poland, until I saw him in a math book. Now this video confirmed to me that he is from Poland.

[@testname420]

The surnames give it away

[@mrakat_27]

Cool

[@4.0.4]

Fun fact the Sierpinski Triangle, and also the similarly constructed 3D shape the Menger Sponge, technically have no area/volume.

[@scottydu81]

Your mother has no real area/volume

[@MrSerbianOrthodox]

I have nothing to do with maths and science but I just like watching your videos!

[@MadScientyst]

Brilliant exposition indeed! As a Math Lecturer the content is invaluable, worthy of subscription! Many thanks for highlighting the beauty of Seifert Surfaces, which hardly get due recognition. Now whilst not entirely geometric (Differential Geom., Chaos Theory, Complex Anaysis, etc), I'd suggest: *Polytopes (link to Crystallography) *4D Fractals *Riemann Surfaces *Hilbert Curves *Lie Groups *Conformal Mappings *Bifurcation Maps *Kusudama Origami (yes it's paper-folding, but Math knowledge helps immensely) ...To be included from an advanced study point of view & also to expose the sheer beauty of Mathematics...IMO 🤔

[@themostepichandle]

0:10 triforce

[@UnderGeorge]

I didn't understand any of this but it was really fun to watch regardless

[@glennlaroche1524]

Either I'm waayyy smarter than I thought, OR you are VERY good at explaining this stuff lmaoooo.

[@amirat8162]

LOVE IT, THANKS!!! ❤❤❤

[@raccoonmellows1243]

6:12 ALL HAIL THE ∞

[@ForgottenInForest]

The music matches your video so well😊

[@zolv]

00:00 Sierpiński triangle is not defined the way it's presented. It's defined as connecting middle points creating an internatl triangle. You even do this in 00:17 . If you want to be consistent, your triangle shouldn't be "divided" but rescaled and multiplied as previously in the video.

[@isavenewspapers8890]

The Sierpiński triangle has multiple equivalent definitions.

[@RibusPQR]

You could say it has three equivalent definitions.

[@zolv]

@@isavenewspapers8890 True, not all of them are equivalent. E.g. If it's defined like in the video (by expanding), the side lenght and area go to infinity. If it's defined as original (by dividing), side and area are limited. Therefore these definitions are not the same.

[@isavenewspapers8890]

@@zolv That's not expanding; it's shrinking and copying. The length of the outer boundary of each shape in the sequence remains the same.

[@EdKolis]

I don't care if it's heresy, the Sierpinki triangle is my favorite explanation of the Trinity!

[@matthewpollock9685]

0:00 Oh, this should be cool, I like science stuff. 1:50 Oh crap. What have I gotten myself into?

[@kingofawesomeness5375]

2:24 I have to point out the fact that you talk about "a world with only 3 dimensions" while showing a 2d representation of Earth

[@isavenewspapers8890]

Yeah, a 2D representation is kinda the best you can do on a 2D screen. Maybe not this 2D representation specifically if you're picky about shading, but a 2D representation regardless.

[@Evgeni_Aleksandrov]

The only time where calculus is useful in life: making videos like this one

[@SpidermansSymbiote]

I just barely passed high school math and youtube recommended this

[@santipiola2752]

"Aparment complex? I find it quite simple"

[@floretion]

Note the Sierpiński triangle is connected directly to quaternions via floretions.

[@84bombsjetpack23]

My favorite is the Menger sponge. Bob SquarePants. 😂

[@rayzhao491]

ohhhhhhh, who lives in a pinapple under the sea? SPUNCH BOP SQUER PANCE!

[@DanialTarki]

The Tesseract will always be favorite of these.

[@Majspers]

My bedsheet at 3am

[@Yukicutiepatotie]

I had a stroke trying to understand this video

[@pieseł2137a]

I have problems with understanding functions and I'm watching this

[@dinoeebastian]

I did a presentation for my highschool speech and debate class a few years ago about fractal geometry

[@JustSomeoneHi]

I have no reason to be watching this but I'll do so either way education is nice

[@Bcokjwdbc]

1:05 wait 2,4,8 SO 4D TESSERACT IS 16

[@DoFliesCallUsWalks]

1:31 that logarithm function🤣

[@fishy398]

My absolute favorite, fractals

[@targuscinco]

Thats a triforce. Just a really festive one. Its the triforce of fun summery colors

[@Garfield_Minecraft]

A mathematician named Klein thought the Möbius band was divine. Said he: "If you glue the edges of two, you'll get a weird bottle like mine." POEM! 10:50 bruh this is like a meme equivalent in mathematics community LOL

[@Martin-hb4il]

I swear the people that thought of these oddities were both genius and definitely on some shrooms.

[@its_marcel_]

So the bottom line here is: Germany was an absolute powerhouse of big brains back in the day..

[@santumi2298]

5:20 too much for zblock

[@lordtachanka80]

"ADMIN HE'S DOING IT SIDEWAYS" 🗣🔊🔥🔥🔥

[@damedanedameyodamenanoyo2594]

Less than two minutes in, I just wanted to see the funny shapes and my brain's already like, this shit's too complex for us bro

[@dapognoob3816]

0:05 Everyone is talking about the Triforce, but no one is talking about Michigun 😢🕊️🕊️

[@HanakoLily]

All my braincells are fusing together to try to understand this

[@fullestegg]

you are reading this

[@Shack283]

Yes I'm reading

[@Gimmickvr]

No, I’m not

[@SanityInAnAmazonBoxShorts]

I might be reading

[@rapallayahuma9417]

And this

[@AMig-ht8nw]

And?

[@Mhebsandstuff0]

0:05 IS THAT THE LEGEND OF ZELDA??

[@scarletevans4474]

9:54 what are these black balls placed in-between the strands of the rope? are they connecting it into some type of net? What is their function and how are they defined? What are they there for?? Anyone here who understands this weird picture? :-(

[@isavenewspapers8890]

Yeah, the visuals in this section barely make sense. Sorry.

[@emory5533]

I understood some of this video

[@Justchillingstrangers2012]

Me watching this: This is incomprehensible but I like this-

[@crispbacon-wx8qu]

Honestly most of this was jibberish not because this video is bad but because I'm a little dumb, this does not mean I did not leave without learning anything! Good work

[@anaisnintuition]

Please please please do statistics videos!! Im a psych student and want to learn more from you ahout cool statistics things

[@x88.berkay]

Couldve added that shape of how a sphere needs to form to turn inside out without sharp edges

[@jakeg3126]

Weierstrass must’ve had some free time.

[@A-Burger]

absolute infinity is equal to 0

[@A-Burger]

had this random thought while watching this idk what it means tho

[@Cyberraptor14]

A Photoshop artist named Valdevia made an interesting horror story about a chemical leak causing a Mandlebrot (referred to as Fractal) infection

[@Swagatronofcybertron]

0:05 bros got the complete triforce

[@Shack283]

The tesseract one is the hardest thing to understand in my life☠️☠️☠️

[@thatrobloxguy]

penteract💀💀💀💀💀

[@enoyna1001]

Women

[@Shack283]

@@enoyna1001 no question☠️

[@iimuffinsaur]

Is this how I finally learn what a derivative is???

[@The_PavaExplainer]

Nice video

[@Be_a_znig]

Mandelbrot is my favorite.

[@BrolafGoated]

where is geometry dash?

[@Drachenbauer]

wich mathematical function is used to make the animared mandelbrot-set, where the bumps travel around the edge of it´s main cardioid?

[@yackawaytube]

Great!

[@JohnSmith-zw8vp]

0:05 -- Triforce!

[@matthewboire6843]

I find fractals so cool

[@rjkrkkj]

Love these

[@pogfrog309]

you cant convince me the sirpinski triangle is just the triforce

[@CertaphoneUltraOfficial]

7:15 Mandelbrowser formula for this

[@CertaphoneUltraOfficial]

I mean 7:06

[@CertaphoneUltraOfficial]

7:16 i mean

[@modlich_303]

oh wow, first time seeing someone pronounce a Polish name and Last name properly, whilst not being Polish themselves

[@aetheralmeowstic2392]

Sierpiński Triforce

[@OrangeLimeMusicMaker]

Now i am hungry for mandelbrot...

[@argf-ur3ib]

0:05 zelda refrence

[@sheepyisthecutest]

can someone explain what that triangle that appears in the beginning of the video means? I still don’t understand. what is scale up by 2?

[@RibusPQR]

Scale up by 2 means make it larger. Multiply the height by 2, and multiply the width by 2.

[@sheepyisthecutest]

@@RibusPQRohhhh, but why does that triangle become 3 times larger if scaled up by 2, not 4 times larger?

[@RibusPQR]

@@sheepyisthecutest That's the whole idea behind fractals. They take up a fractional dimension of space. A normal triangle is 2-dimensional, and this thing is 1.5-dimensional.

[@TheKluras]

0:07 triforce

[@Theos-zj3ys]

I didnt understand anythig but it was interesting to watch'

[@reformajulesrowald9998]

I made a fractal, so if the creator of the sierpiński triangle was named sierpiński and it was a triangle. I call mine the rowald swastik-

[@zulalbokret1332]

Polska mentioned!!!

[@strawberrymilk9767]

Rename this video to "how to fall asleep easily tutorial"

[@thigmotrope]

"If you scale up the dimensions of a sapinski triangle by a factor of two, it becomes three times as large. " How are we measuring largeness though? area?

[@akkiaddizone6889]

He's talking about dimensions, so ofcourse it's area. How else would we measure the "largeness" of a 2d shape?

[@ilo2224]

I hate mathematicians

[@tukan1652]

What is the background music?

[@_4pplePen6]

The first song is Minute Waltz by Chopin and the second is Badinerie by Bach

[@isavenewspapers8890]

11:06 Wait a second, that's a Seifert surface of a trefoil knot, not a Hopf link.

[@NielAundreiLagrimas]

Vsause refference? 4:52

[@gamingdiamond168]

0:05 the triforce

[@Lunar994]

Huh, so that's what that Yume 2kki world is about.

[@Yabba_yabba_do]

KLEIN BOTTLE FROM TEAM ROOM 125 AGAIN IS THAT YOU😱😱😱😱😱😱😱😱😱😱😱😱😱😱😱😱

[@scarletevans4474]

3:38 but we clearly can see that it is counterclockwise?? How can these two be indistinguishable??

[@isavenewspapers8890]

You ever notice how, if a rotation looks clockwise from one side, it looks counterclockwise from the other side? Well, that's similar to what's happening here. When you look at the same rotation from a different orientation, your point of view gets flipped, so the rotation seems to be going the other way.

[@12baumarobi]

Is the Sierpinski Triangle considerd to be a type of Mandelbrot?

[@isavenewspapers8890]

Depends on what "a type of Mandelbrot" is.

[@RibusPQR]

The Mandelbrot set produces a fractal. The Sierpinski triangle is also a fractal.

[@therealjamespickering]

If two Möbius strips, joined at the edges, form a Klein bottle, what would two Mandbrot sets form? If someone can work it out, you can credit me by calling it the Picke Ring! 🎉

[@cocomier]

0:07 “Triforce”