Every Complex Geometry Shape Explained

Поделиться
HTML-код
  • Опубликовано: 20 ноя 2024

Комментарии • 299

  • @ThoughtThrill365
    @ThoughtThrill365  27 дней назад +23

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

    • @mono6198
      @mono6198 23 дня назад +2

      all infinities explained

    • @ririscouture
      @ririscouture 19 дней назад

      hiHi

    • @Martan2010
      @Martan2010 15 дней назад

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

  • @soulsofspirit9729
    @soulsofspirit9729 Месяц назад +267

    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 Месяц назад +4

      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 Месяц назад +1

      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 Месяц назад +3

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

    • @soulsofspirit9729
      @soulsofspirit9729 Месяц назад +1

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

    • @ThePenguinMan
      @ThePenguinMan 5 дней назад

      how else would you explain functions???

  • @minirop
    @minirop Месяц назад +1257

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

    • @daniel_77.
      @daniel_77. Месяц назад +63

      It took me a while to realize what you did

    • @CosmicHase
      @CosmicHase Месяц назад +59

      Benoit Benoit B. Mandelbrot Mandelbrot?

    • @josephjohnson313
      @josephjohnson313 Месяц назад +46

      @@CosmicHase
      Benoit Benoit Benoit B. Mandelbrot Mandelbrot Mandelbrot

    • @DhoklaAboveVadapav
      @DhoklaAboveVadapav Месяц назад +26

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

    • @rayzhao491
      @rayzhao491 Месяц назад +18

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

  • @davidhopkins6946
    @davidhopkins6946 Месяц назад +486

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

    • @Are3.14
      @Are3.14 Месяц назад +3

      Weierstrass* :)

  • @jerometeor
    @jerometeor Месяц назад +147

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

    • @lijauju
      @lijauju Месяц назад +3

      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

  • @scarletevans4474
    @scarletevans4474 Месяц назад +16

    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! ♥

  • @RishwanaHoque
    @RishwanaHoque Месяц назад +86

    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-

  • @suhnih4076
    @suhnih4076 Месяц назад +224

    “log😄 😅 = 💧” 💀

  • @Tayhay
    @Tayhay Месяц назад +83

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

  • @HermesKhadivar-n5l
    @HermesKhadivar-n5l Месяц назад +128

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

  • @shaquille6566
    @shaquille6566 Месяц назад +6

    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

  • @LearnWithPaint
    @LearnWithPaint Месяц назад +30

    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!

  • @jsalsman
    @jsalsman Месяц назад +53

    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.

  • @raccoonmellows1243
    @raccoonmellows1243 Месяц назад +19

    6:12 ALL HAIL THE ∞

  • @emmanuelsimaurio6078
    @emmanuelsimaurio6078 Месяц назад +29

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

    • @OtakuUnitedStudio
      @OtakuUnitedStudio День назад

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

    • @Arsjdaj_
      @Arsjdaj_ 17 часов назад

      link mentioned!!!!

    • @betterwatchoutformeee
      @betterwatchoutformeee 10 часов назад

      I was looking for this comment lol real

  • @MadScientyst
    @MadScientyst Месяц назад +2

    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 🤔

  • @lukatolstov5598
    @lukatolstov5598 Месяц назад +16

    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.

  • @4.0.4
    @4.0.4 Месяц назад +12

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

    • @scottydu81
      @scottydu81 Месяц назад

      Your mother has no real area/volume

  • @MrSerbianOrthodox
    @MrSerbianOrthodox Месяц назад +2

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

  • @damarzrealm7731
    @damarzrealm7731 26 дней назад +11

    You forgot my blanket at 3am

  • @AustinTheWeenieTickler
    @AustinTheWeenieTickler 29 дней назад

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

  • @noonesknight
    @noonesknight Месяц назад +13

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

  • @ForgottenInForest
    @ForgottenInForest Месяц назад +4

    The music matches your video so well😊

  • @floretion
    @floretion Месяц назад +2

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

  • @DanialTarki
    @DanialTarki 28 дней назад

    The Tesseract will always be favorite of these.

  • @SpidermansSymbiote
    @SpidermansSymbiote Месяц назад +2

    I just barely passed high school math and youtube recommended this

  • @matthewpollock9685
    @matthewpollock9685 Месяц назад +6

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

  • @Evgeni_Aleksandrov
    @Evgeni_Aleksandrov Месяц назад +3

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

  • @santipiola2752
    @santipiola2752 Месяц назад +4

    "Aparment complex? I find it quite simple"

  • @fullestegg
    @fullestegg Месяц назад +109

    you are reading this

  • @glennlaroche1524
    @glennlaroche1524 28 дней назад +1

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

  • @JustSomeoneHi
    @JustSomeoneHi Месяц назад +3

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

  • @targuscinco
    @targuscinco Месяц назад +1

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

  • @84bombsjetpack23
    @84bombsjetpack23 Месяц назад +9

    My favorite is the Menger sponge. Bob SquarePants. 😂

    • @rayzhao491
      @rayzhao491 Месяц назад +2

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

  • @kingofawesomeness5375
    @kingofawesomeness5375 Месяц назад +8

    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 Месяц назад

      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.

  • @zolv
    @zolv Месяц назад +1

    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 Месяц назад +3

      The Sierpiński triangle has multiple equivalent definitions.

    • @RibusPQR
      @RibusPQR Месяц назад +1

      You could say it has three equivalent definitions.

    • @zolv
      @zolv Месяц назад

      @@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 Месяц назад

      @@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.

  • @dinoeebastian
    @dinoeebastian Месяц назад

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

  • @damedanedameyodamenanoyo2594
    @damedanedameyodamenanoyo2594 Месяц назад +1

    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

  • @BrolafGoated
    @BrolafGoated Месяц назад +7

    where is geometry dash?

  • @Mhebsandstuff0
    @Mhebsandstuff0 Месяц назад +1

    0:05 IS THAT THE LEGEND OF ZELDA??

  • @DoFliesCallUsWalks
    @DoFliesCallUsWalks 13 часов назад +1

    1:31 that logarithm function🤣

  • @amirat8162
    @amirat8162 6 дней назад

    LOVE IT, THANKS!!! ❤❤❤

  • @x88.berkay
    @x88.berkay Месяц назад +2

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

  • @iimuffinsaur
    @iimuffinsaur 24 дня назад

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

  • @Cyberraptor14
    @Cyberraptor14 4 дня назад

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

  • @anaisnintuition
    @anaisnintuition Месяц назад

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

  • @crispbacon-wx8qu
    @crispbacon-wx8qu Месяц назад +1

    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

  • @fishy398
    @fishy398 24 дня назад

    My absolute favorite, fractals

  • @Bcokjwdbc
    @Bcokjwdbc 19 дней назад +1

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

  • @emory5533
    @emory5533 Месяц назад +2

    I understood some of this video

  • @modlich_303
    @modlich_303 23 дня назад +1

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

  • @argf-ur3ib
    @argf-ur3ib Месяц назад +1

    0:05 zelda refrence

  • @Shack283
    @Shack283 Месяц назад +3

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

    • @thatrobloxguy
      @thatrobloxguy Месяц назад

      penteract💀💀💀💀💀

    • @enoyna1001
      @enoyna1001 Месяц назад

      Women

    • @Shack283
      @Shack283 Месяц назад

      @@enoyna1001 no question☠️

  • @santumi2298
    @santumi2298 Месяц назад +4

    5:20 too much for zblock

    • @lordtachanka80
      @lordtachanka80 27 дней назад

      "ADMIN HE'S DOING IT SIDEWAYS" 🗣🔊🔥🔥🔥

  • @Justchillingstrangers2012
    @Justchillingstrangers2012 21 день назад

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

  • @aetheralmeowstic2392
    @aetheralmeowstic2392 Месяц назад +8

    Sierpiński Triforce

  • @HanakoLily
    @HanakoLily 3 дня назад

    All my braincells are fusing together to try to understand this

  • @Be_a_znig
    @Be_a_znig Месяц назад

    Mandelbrot is my favorite.

  • @Swagatronofcybertron
    @Swagatronofcybertron Месяц назад

    0:05 bros got the complete triforce

  • @Yukicutiepatotie
    @Yukicutiepatotie 20 дней назад +2

    I had a stroke trying to understand this video

  • @The_PavaExplainer
    @The_PavaExplainer Месяц назад

    Nice video

  • @JohnSmith-zw8vp
    @JohnSmith-zw8vp 14 дней назад

    0:05 -- Triforce!

  • @yackawaytube
    @yackawaytube Месяц назад +8

    Great!

  • @matthewboire6843
    @matthewboire6843 Месяц назад

    I find fractals so cool

  • @reformajulesrowald9998
    @reformajulesrowald9998 Месяц назад +1

    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-

  • @LordShrek420
    @LordShrek420 Месяц назад

    0:08 IS THAT THE TRIFORCE?!

  • @ilo2224
    @ilo2224 2 дня назад +1

    I hate mathematicians

  • @MdDulal-t3g
    @MdDulal-t3g Месяц назад +5

    /\/\/\ this is the only complexity i need know

    • @Hiljaa_
      @Hiljaa_ Месяц назад +2

      Fly high Michigun 🕊️/\/\/\

  • @thigmotrope
    @thigmotrope Месяц назад

    "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 Месяц назад

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

  • @isavenewspapers8890
    @isavenewspapers8890 Месяц назад

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

  • @Theos-zj3ys
    @Theos-zj3ys 26 дней назад

    I didnt understand anythig but it was interesting to watch'

  • @gamingdiamond168
    @gamingdiamond168 11 дней назад

    0:05 the triforce

  • @rjkrkkj
    @rjkrkkj Месяц назад

    Love these

  • @nilsgensert5814
    @nilsgensert5814 Месяц назад +4

    Lots of German names here today.

  • @Phrogsage
    @Phrogsage 26 дней назад

    IS THAT A TRIFORCE REFERENCE???🤺

  • @Yabba_yabba_do
    @Yabba_yabba_do 10 дней назад

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

  • @CMDNPLYZ
    @CMDNPLYZ Месяц назад

    Im in middle school and yet i still get it

  • @tukan1652
    @tukan1652 Месяц назад +2

    What is the background music?

    • @_4pplePen6
      @_4pplePen6 Месяц назад

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

  • @12baumarobi
    @12baumarobi Месяц назад

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

    • @isavenewspapers8890
      @isavenewspapers8890 Месяц назад

      Depends on what "a type of Mandelbrot" is.

    • @RibusPQR
      @RibusPQR Месяц назад +1

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

  • @cocomier
    @cocomier Месяц назад

    0:07 “Triforce”

  • @aleksanderagiurre29
    @aleksanderagiurre29 Месяц назад

    You get a like for all the classic memes, 🥹 so nostalgic

  • @GlitchPloit
    @GlitchPloit Месяц назад

    Bro I imagined a tesseract before I even learned about it????????

  • @Lunar994
    @Lunar994 Месяц назад +1

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

  • @sheepyisthecutest
    @sheepyisthecutest Месяц назад +1

    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 Месяц назад

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

    • @sheepyisthecutest
      @sheepyisthecutest Месяц назад

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

    • @RibusPQR
      @RibusPQR Месяц назад +1

      @@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.

  • @strawberrymilk9767
    @strawberrymilk9767 Месяц назад

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

  • @TheWingus
    @TheWingus Месяц назад

    No calabi-yau manifold? That shape doesn’t have enough dimensions to exist in the reality we can observe!

  • @JuicyJam
    @JuicyJam Месяц назад

    Well, now I know where fallout new vegas: old world blues got their character names from.

  • @Canon320_
    @Canon320_ 3 дня назад +1

    Polish have atention

  • @marcelob.5300
    @marcelob.5300 Месяц назад +1

    You're excellent, at least.

  • @Garfield_Minecraft
    @Garfield_Minecraft Месяц назад +10

    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

  • @Lizz-o4k
    @Lizz-o4k 19 дней назад

    YUME 2KKI?!?!?!?!?!?!?
    Note: theres a actual world called sierpinski maze

  • @Ggman854
    @Ggman854 Месяц назад

    I think this broke my brain

  • @XalexX692
    @XalexX692 11 дней назад

    0:00 POLAND MENTIONED!!!!!!! 🇵🇱🇵🇱🇵🇱

  • @scarletevans4474
    @scarletevans4474 Месяц назад

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

    • @isavenewspapers8890
      @isavenewspapers8890 Месяц назад +1

      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.

  • @Mizai
    @Mizai Месяц назад

    pretty cool

  • @x88.berkay
    @x88.berkay Месяц назад +1

    nice

  • @jasonromans3016
    @jasonromans3016 Месяц назад

    6:10 AND BEYOND!

  • @chanelowelove
    @chanelowelove День назад

    And mobius strip?

  • @jerrylou9285
    @jerrylou9285 Месяц назад

    Benoit Benoit Benoit Benoit..... Mandelbrot

  • @scarletevans4474
    @scarletevans4474 Месяц назад

    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
      @isavenewspapers8890 Месяц назад +1

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