Every Complex Geometry Shape Explained

  Рет қаралды 524,597

ThoughtThrill

ThoughtThrill

Күн бұрын

Пікірлер: 299
@ThoughtThrill365
@ThoughtThrill365 27 күн бұрын
Let me know if there's a topic you'd like me to cover next. 😊
@mono6198
@mono6198 23 күн бұрын
all infinities explained
@ririscouture
@ririscouture 19 күн бұрын
hiHi
@Martan2010
@Martan2010 15 күн бұрын
an explanation why is 6=9 (a higher dimensional calculation or whatever) edit: is it even true tho?
@minirop
@minirop Ай бұрын
In "Benoit B. Mandelbrot, the B. stands for Benoit B. Mandelbrot"
@daniel_77.
@daniel_77. Ай бұрын
It took me a while to realize what you did
@CosmicHase
@CosmicHase Ай бұрын
Benoit Benoit B. Mandelbrot Mandelbrot?
@josephjohnson313
@josephjohnson313 Ай бұрын
@@CosmicHase Benoit Benoit Benoit B. Mandelbrot Mandelbrot Mandelbrot
@DhoklaAboveVadapav
@DhoklaAboveVadapav Ай бұрын
f(B)= benoit B Mandelbrot fof(B)= ?
@rayzhao491
@rayzhao491 Ай бұрын
@@josephjohnson313 Benoit Benoit Benoit Benoit B. Mandelbrot Mandelbrot Mandelbrot Mandelbrot
@davidhopkins6946
@davidhopkins6946 Ай бұрын
Mathematician: Yay! I proved it! Weierstrauss: No you didn't.
@Are3.14
@Are3.14 Ай бұрын
Weierstrass* :)
@soulsofspirit9729
@soulsofspirit9729 Ай бұрын
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
@isavenewspapers8890 Ай бұрын
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
@MrTicky4 Ай бұрын
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
@TheAdriyaman Ай бұрын
@@isavenewspapers8890 In computer science a function can also take nothing as input
@soulsofspirit9729
@soulsofspirit9729 Ай бұрын
@@isavenewspapers8890 I did not know that, I’m not that deep into mathematics.
@ThePenguinMan
@ThePenguinMan 5 күн бұрын
how else would you explain functions???
@jerometeor
@jerometeor Ай бұрын
I can't help but be amazed at how original the ideas of German mathematicians from 19-20th centuries were.
@lijauju
@lijauju Ай бұрын
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
@suhnih4076
@suhnih4076 Ай бұрын
“log😄 😅 = 💧” 💀
@cosmax1448
@cosmax1448 Ай бұрын
😂😂
@Yarik_X
@Yarik_X Ай бұрын
He's not wrong tho
@AzarinthUnknown
@AzarinthUnknown Ай бұрын
i hate i understood that
@Daffa_am.
@Daffa_am. 2 күн бұрын
Still water😱😱😱
@RishwanaHoque
@RishwanaHoque Ай бұрын
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-
@scarletevans4474
@scarletevans4474 Ай бұрын
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! ♥
@HermesKhadivar-n5l
@HermesKhadivar-n5l Ай бұрын
11:34 now watch the video again and take a shot every time he says "german mathematician"
@rutterj2
@rutterj2 Ай бұрын
I like a challenge
@borisslavchev1328
@borisslavchev1328 Ай бұрын
Ight bet
@borisslavchev1328
@borisslavchev1328 Ай бұрын
its 5 shots weak
@Tayhay
@Tayhay Ай бұрын
thought this has way more views, just realized its below 1k, awesome quality
@LearnWithPaint
@LearnWithPaint Ай бұрын
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
@TheMiguelHuey 14 күн бұрын
Sierspińky*
@lixin_9660
@lixin_9660 8 күн бұрын
​@@TheMiguelHuey Sierpiński*
@TheMiguelHuey
@TheMiguelHuey 8 күн бұрын
@@lixin_9660 oops
@emmanuelsimaurio6078
@emmanuelsimaurio6078 Ай бұрын
The Legend of Zelda fans on the first one: ITS THE TRIFORCE
@OtakuUnitedStudio
@OtakuUnitedStudio Күн бұрын
Forget the Quad Force theory, I wanna see the Infinite Fractal Triforce theory
@Arsjdaj_
@Arsjdaj_ 15 сағат бұрын
link mentioned!!!!
@betterwatchoutformeee
@betterwatchoutformeee 7 сағат бұрын
I was looking for this comment lol real
@jsalsman
@jsalsman Ай бұрын
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.
@shaquille6566
@shaquille6566 Ай бұрын
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
@damarzrealm7731
@damarzrealm7731 26 күн бұрын
You forgot my blanket at 3am
@raccoonmellows1243
@raccoonmellows1243 Ай бұрын
6:12 ALL HAIL THE ∞
@lukatolstov5598
@lukatolstov5598 Ай бұрын
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
@testname420 Ай бұрын
The surnames give it away
@mrakat_27
@mrakat_27 Ай бұрын
Cool
@4.0.4
@4.0.4 Ай бұрын
Fun fact the Sierpinski Triangle, and also the similarly constructed 3D shape the Menger Sponge, technically have no area/volume.
@scottydu81
@scottydu81 Ай бұрын
Your mother has no real area/volume
@noonesknight
@noonesknight Ай бұрын
when your youtube feed is so cooked that you watch "every geometric shape explained"
@leonardotmcateer16
@leonardotmcateer16 8 күн бұрын
and you enjoyed it because its a banger
@Evgeni_Aleksandrov
@Evgeni_Aleksandrov Ай бұрын
The only time where calculus is useful in life: making videos like this one
@MrSerbianOrthodox
@MrSerbianOrthodox Ай бұрын
I have nothing to do with maths and science but I just like watching your videos!
@santipiola2752
@santipiola2752 Ай бұрын
"Aparment complex? I find it quite simple"
@MadScientyst
@MadScientyst Ай бұрын
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 🤔
@fullestegg
@fullestegg Ай бұрын
you are reading this
@Shack283
@Shack283 Ай бұрын
Yes I'm reading
@Gimmickvr
@Gimmickvr Ай бұрын
No, I’m not
@SanityInAnAmazonBoxShorts
@SanityInAnAmazonBoxShorts Ай бұрын
I might be reading
@rapallayahuma9417
@rapallayahuma9417 Ай бұрын
And this
@AMig-ht8nw
@AMig-ht8nw Ай бұрын
And?
@ForgottenInForest
@ForgottenInForest Ай бұрын
The music matches your video so well😊
@SpidermansSymbiote
@SpidermansSymbiote Ай бұрын
I just barely passed high school math and youtube recommended this
@AustinTheWeenieTickler
@AustinTheWeenieTickler 28 күн бұрын
i have absolutely no idea what this video just said but i love it
@matthewpollock9685
@matthewpollock9685 Ай бұрын
0:00 Oh, this should be cool, I like science stuff. 1:50 Oh crap. What have I gotten myself into?
@84bombsjetpack23
@84bombsjetpack23 Ай бұрын
My favorite is the Menger sponge. Bob SquarePants. 😂
@rayzhao491
@rayzhao491 Ай бұрын
ohhhhhhh, who lives in a pinapple under the sea? SPUNCH BOP SQUER PANCE!
@floretion
@floretion Ай бұрын
Note the Sierpiński triangle is connected directly to quaternions via floretions.
@amirat8162
@amirat8162 6 күн бұрын
LOVE IT, THANKS!!! ❤❤❤
@kingofawesomeness5375
@kingofawesomeness5375 Ай бұрын
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
@isavenewspapers8890 Ай бұрын
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.
@DanialTarki
@DanialTarki 28 күн бұрын
The Tesseract will always be favorite of these.
@glennlaroche1524
@glennlaroche1524 27 күн бұрын
Either I'm waayyy smarter than I thought, OR you are VERY good at explaining this stuff lmaoooo.
@targuscinco
@targuscinco Ай бұрын
Thats a triforce. Just a really festive one. Its the triforce of fun summery colors
@Mhebsandstuff0
@Mhebsandstuff0 Ай бұрын
0:05 IS THAT THE LEGEND OF ZELDA??
@JustSomeoneHi
@JustSomeoneHi Ай бұрын
I have no reason to be watching this but I'll do so either way education is nice
@yackawaytube
@yackawaytube Ай бұрын
Great!
@damedanedameyodamenanoyo2594
@damedanedameyodamenanoyo2594 Ай бұрын
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
@fishy398
@fishy398 24 күн бұрын
My absolute favorite, fractals
@BrolafGoated
@BrolafGoated Ай бұрын
where is geometry dash?
@dinoeebastian
@dinoeebastian Ай бұрын
I did a presentation for my highschool speech and debate class a few years ago about fractal geometry
@Yukicutiepatotie
@Yukicutiepatotie 20 күн бұрын
I had a stroke trying to understand this video
@DoFliesCallUsWalks
@DoFliesCallUsWalks 11 сағат бұрын
1:31 that logarithm function🤣
@Shack283
@Shack283 Ай бұрын
The tesseract one is the hardest thing to understand in my life☠️☠️☠️
@thatrobloxguy
@thatrobloxguy Ай бұрын
penteract💀💀💀💀💀
@enoyna1001
@enoyna1001 Ай бұрын
Women
@Shack283
@Shack283 Ай бұрын
@@enoyna1001 no question☠️
@iimuffinsaur
@iimuffinsaur 24 күн бұрын
Is this how I finally learn what a derivative is???
@emory5533
@emory5533 Ай бұрын
I understood some of this video
@crispbacon-wx8qu
@crispbacon-wx8qu Ай бұрын
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
@zolv
@zolv Ай бұрын
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
@isavenewspapers8890 Ай бұрын
The Sierpiński triangle has multiple equivalent definitions.
@RibusPQR
@RibusPQR Ай бұрын
You could say it has three equivalent definitions.
@zolv
@zolv Ай бұрын
@@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
@isavenewspapers8890 Ай бұрын
@@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.
@x88.berkay
@x88.berkay Ай бұрын
Couldve added that shape of how a sphere needs to form to turn inside out without sharp edges
@aetheralmeowstic2392
@aetheralmeowstic2392 Ай бұрын
Sierpiński Triforce
@Cyberraptor14
@Cyberraptor14 4 күн бұрын
A Photoshop artist named Valdevia made an interesting horror story about a chemical leak causing a Mandlebrot (referred to as Fractal) infection
@Justchillingstrangers2012
@Justchillingstrangers2012 21 күн бұрын
Me watching this: This is incomprehensible but I like this-
@modlich_303
@modlich_303 23 күн бұрын
oh wow, first time seeing someone pronounce a Polish name and Last name properly, whilst not being Polish themselves
@matthewboire6843
@matthewboire6843 Ай бұрын
I find fractals so cool
@reformajulesrowald9998
@reformajulesrowald9998 Ай бұрын
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-
@HanakoLily
@HanakoLily 3 күн бұрын
All my braincells are fusing together to try to understand this
@Be_a_znig
@Be_a_znig Ай бұрын
Mandelbrot is my favorite.
@anaisnintuition
@anaisnintuition Ай бұрын
Please please please do statistics videos!! Im a psych student and want to learn more from you ahout cool statistics things
@Lunar994
@Lunar994 Ай бұрын
Huh, so that's what that Yume 2kki world is about.
@Bcokjwdbc
@Bcokjwdbc 19 күн бұрын
1:05 wait 2,4,8 SO 4D TESSERACT IS 16
@ilo2224
@ilo2224 2 күн бұрын
I hate mathematicians
@Phrogsage
@Phrogsage 26 күн бұрын
IS THAT A TRIFORCE REFERENCE???🤺
@Swagatronofcybertron
@Swagatronofcybertron Ай бұрын
0:05 bros got the complete triforce
@rjkrkkj
@rjkrkkj Ай бұрын
Love these
@LordShrek420
@LordShrek420 Ай бұрын
0:08 IS THAT THE TRIFORCE?!
@The_PavaExplainer
@The_PavaExplainer Ай бұрын
Nice video
@argf-ur3ib
@argf-ur3ib Ай бұрын
0:05 zelda refrence
@Garfield_Minecraft
@Garfield_Minecraft Ай бұрын
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
@CMDNPLYZ
@CMDNPLYZ Ай бұрын
Im in middle school and yet i still get it
@JohnSmith-zw8vp
@JohnSmith-zw8vp 14 күн бұрын
0:05 -- Triforce!
@GlitchPloit
@GlitchPloit Ай бұрын
Bro I imagined a tesseract before I even learned about it????????
@isavenewspapers8890
@isavenewspapers8890 Ай бұрын
11:06 Wait a second, that's a Seifert surface of a trefoil knot, not a Hopf link.
@Ggman854
@Ggman854 Ай бұрын
I think this broke my brain
@strawberrymilk9767
@strawberrymilk9767 Ай бұрын
Rename this video to "how to fall asleep easily tutorial"
@MdDulal-t3g
@MdDulal-t3g Ай бұрын
/\/\/\ this is the only complexity i need know
@Hiljaa_
@Hiljaa_ Ай бұрын
Fly high Michigun 🕊️/\/\/\
@Yabba_yabba_do
@Yabba_yabba_do 10 күн бұрын
KLEIN BOTTLE FROM TEAM ROOM 125 AGAIN IS THAT YOU😱😱😱😱😱😱😱😱😱😱😱😱😱😱😱😱
@thigmotrope
@thigmotrope Ай бұрын
"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
@akkiaddizone6889 Ай бұрын
He's talking about dimensions, so ofcourse it's area. How else would we measure the "largeness" of a 2d shape?
@nilsgensert5814
@nilsgensert5814 Ай бұрын
Lots of German names here today.
@Theos-zj3ys
@Theos-zj3ys 26 күн бұрын
I didnt understand anythig but it was interesting to watch'
@tukan1652
@tukan1652 Ай бұрын
What is the background music?
@_4pplePen6
@_4pplePen6 Ай бұрын
The first song is Minute Waltz by Chopin and the second is Badinerie by Bach
@santumi2298
@santumi2298 Ай бұрын
5:20 too much for zblock
@lordtachanka80
@lordtachanka80 27 күн бұрын
"ADMIN HE'S DOING IT SIDEWAYS" 🗣🔊🔥🔥🔥
@12baumarobi
@12baumarobi Ай бұрын
Is the Sierpinski Triangle considerd to be a type of Mandelbrot?
@isavenewspapers8890
@isavenewspapers8890 Ай бұрын
Depends on what "a type of Mandelbrot" is.
@RibusPQR
@RibusPQR Ай бұрын
The Mandelbrot set produces a fractal. The Sierpinski triangle is also a fractal.
@Mizai
@Mizai Ай бұрын
pretty cool
@gamingdiamond168
@gamingdiamond168 11 күн бұрын
0:05 the triforce
@Canon320_
@Canon320_ 3 күн бұрын
Polish have atention
@Dark_Dragon1337
@Dark_Dragon1337 Ай бұрын
I think I broke my brain Hjalp
@cocomier
@cocomier Ай бұрын
0:07 “Triforce”
@chanelowelove
@chanelowelove Күн бұрын
And mobius strip?
@marcelob.5300
@marcelob.5300 Ай бұрын
You're excellent, at least.
@sheepyisthecutest
@sheepyisthecutest Ай бұрын
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
@RibusPQR Ай бұрын
Scale up by 2 means make it larger. Multiply the height by 2, and multiply the width by 2.
@sheepyisthecutest
@sheepyisthecutest Ай бұрын
@@RibusPQRohhhh, but why does that triangle become 3 times larger if scaled up by 2, not 4 times larger?
@RibusPQR
@RibusPQR Ай бұрын
@@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.
@The_Trident_Master
@The_Trident_Master 24 күн бұрын
How is a definitionally 2D shape roughly 1.6D?
@x88.berkay
@x88.berkay Ай бұрын
nice
@Lizz-o4k
@Lizz-o4k 19 күн бұрын
YUME 2KKI?!?!?!?!?!?!? Note: theres a actual world called sierpinski maze
@JuicyJam
@JuicyJam Ай бұрын
Well, now I know where fallout new vegas: old world blues got their character names from.
@FeWi-YT
@FeWi-YT 8 күн бұрын
Gömböc where?
@jerrylou9285
@jerrylou9285 Ай бұрын
Benoit Benoit Benoit Benoit..... Mandelbrot
@TheWingus
@TheWingus Ай бұрын
No calabi-yau manifold? That shape doesn’t have enough dimensions to exist in the reality we can observe!
@KaleidoscopeGalaxy
@KaleidoscopeGalaxy 17 күн бұрын
What would a 3d model of a human look like in 4d with the tesseract thing
@TalkingFlowerFromSuperMario
@TalkingFlowerFromSuperMario 4 күн бұрын
ZELDA?!?!
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