Every Complex Geometry Shape Explained

Поделиться
HTML-код
  • Опубликовано: 11 ноя 2024

Комментарии • 272

  • @ThoughtThrill365
    @ThoughtThrill365  18 дней назад +13

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

    • @mono6198
      @mono6198 14 дней назад +2

      all infinities explained

    • @ak-ee7zq
      @ak-ee7zq 10 дней назад

      hiHi

    • @Martan2010
      @Martan2010 5 дней назад

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

  • @soulsofspirit9729
    @soulsofspirit9729 Месяц назад +233

    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 +3

      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 28 дней назад +3

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

    • @soulsofspirit9729
      @soulsofspirit9729 28 дней назад +1

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

  • @minirop
    @minirop Месяц назад +1124

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

    • @daniel_77.
      @daniel_77. Месяц назад +53

      It took me a while to realize what you did

    • @CosmicHase
      @CosmicHase Месяц назад +48

      Benoit Benoit B. Mandelbrot Mandelbrot?

    • @josephjohnson313
      @josephjohnson313 Месяц назад +40

      @@CosmicHase
      Benoit Benoit Benoit B. Mandelbrot Mandelbrot Mandelbrot

    • @DhoklaAboveVadapav
      @DhoklaAboveVadapav Месяц назад +22

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

    • @rayzhao491
      @rayzhao491 Месяц назад +17

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

  • @davidhopkins6946
    @davidhopkins6946 Месяц назад +435

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

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

      Weierstrass* :)

  • @jerometeor
    @jerometeor Месяц назад +119

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

    • @lijauju
      @lijauju 21 день назад +2

      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 Месяц назад +189

    “log😄 😅 = 💧” 💀

  • @scarletevans4474
    @scarletevans4474 28 дней назад +13

    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 +71

    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-

  • @HermesKhadivar-n5l
    @HermesKhadivar-n5l Месяц назад +105

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

  • @Tayhay
    @Tayhay Месяц назад +82

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

  • @LearnWithPaint
    @LearnWithPaint Месяц назад +29

    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!

  • @emmanuelsimaurio6078
    @emmanuelsimaurio6078 Месяц назад +24

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

  • @shaquille6566
    @shaquille6566 28 дней назад +3

    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 17 дней назад +6

    You forgot my blanket at 3am

  • @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 +17

    6:12 ALL HAIL THE ∞

  • @noonesknight
    @noonesknight Месяц назад +12

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

  • @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 +11

    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

  • @MadScientyst
    @MadScientyst 22 дня 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 🤔

  • @MrSerbianOrthodox
    @MrSerbianOrthodox Месяц назад +2

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

  • @ForgottenInForest
    @ForgottenInForest Месяц назад +4

    The music matches your video so well😊

  • @AustinTheWeenieTickler
    @AustinTheWeenieTickler 19 дней назад

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

  • @santipiola2752
    @santipiola2752 22 дня назад +4

    "Aparment complex? I find it quite simple"

  • @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!

  • @DanialTarki
    @DanialTarki 18 дней назад

    The Tesseract will always be favorite of these.

  • @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?

  • @floretion
    @floretion Месяц назад +2

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

  • @fullestegg
    @fullestegg Месяц назад +97

    you are reading this

  • @glennlaroche1524
    @glennlaroche1524 18 дней назад +1

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

  • @fishy398
    @fishy398 15 дней назад

    My absolute favorite, fractals

  • @dinoeebastian
    @dinoeebastian Месяц назад

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

  • @SpidermansSymbiote
    @SpidermansSymbiote Месяц назад +2

    I just barely passed high school math and youtube recommended this

  • @Evgeni_Aleksandrov
    @Evgeni_Aleksandrov Месяц назад +3

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

  • @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.

  • @targuscinco
    @targuscinco Месяц назад +1

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

  • @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

  • @JustSomeoneHi
    @JustSomeoneHi Месяц назад +3

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

  • @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

  • @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.

  • @Justchillingstrangers2012
    @Justchillingstrangers2012 12 дней назад

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

  • @Mhebsandstuff0
    @Mhebsandstuff0 Месяц назад +1

    0:05 IS THAT THE LEGEND OF ZELDA??

  • @emory5533
    @emory5533 Месяц назад +2

    I understood some of this video

  • @aetheralmeowstic2392
    @aetheralmeowstic2392 Месяц назад +8

    Sierpiński Triforce

  • @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

  • @Be_a_znig
    @Be_a_znig Месяц назад

    Mandelbrot is my favorite.

  • @Yukicutiepatotie
    @Yukicutiepatotie 11 дней назад +1

    I had a stroke trying to understand this video

  • @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☠️

  • @iimuffinsaur
    @iimuffinsaur 15 дней назад

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

  • @matthewboire6843
    @matthewboire6843 Месяц назад

    I find fractals so cool

  • @yackawaytube
    @yackawaytube Месяц назад +8

    Great!

  • @Swagatronofcybertron
    @Swagatronofcybertron Месяц назад

    0:05 bros got the complete triforce

  • @JohnSmith-zw8vp
    @JohnSmith-zw8vp 4 дня назад

    0:05 -- Triforce!

  • @The_PavaExplainer
    @The_PavaExplainer 25 дней назад

    Nice video

  • @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

  • @Bcokjwdbc
    @Bcokjwdbc 9 дней назад +1

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

  • @argf-ur3ib
    @argf-ur3ib 24 дня назад +1

    0:05 zelda refrence

  • @Theos-zj3ys
    @Theos-zj3ys 17 дней назад

    I didnt understand anythig but it was interesting to watch'

  • @Lunar994
    @Lunar994 Месяц назад +1

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

  • @rjkrkkj
    @rjkrkkj Месяц назад

    Love these

  • @modlich_303
    @modlich_303 14 дней назад +1

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

  • @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

  • @tukan1652
    @tukan1652 Месяц назад +2

    What is the background music?

    • @_4pplePen6
      @_4pplePen6 23 дня назад

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

  • @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-

  • @gamingdiamond168
    @gamingdiamond168 2 дня назад

    0:05 the triforce

  • @LordShrek420
    @LordShrek420 Месяц назад

    0:08 IS THAT THE TRIFORCE?!

  • @isavenewspapers8890
    @isavenewspapers8890 Месяц назад

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

  • @Phrogsage
    @Phrogsage 17 дней назад

    IS THAT A TRIFORCE REFERENCE???🤺

  • @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.

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

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

    • @Hiljaa_
      @Hiljaa_ Месяц назад +2

      Fly high Michigun 🕊️/\/\/\

  • @santumi2298
    @santumi2298 29 дней назад +3

    5:20 too much for zblock

    • @lordtachanka80
      @lordtachanka80 18 дней назад

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

  • @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.

  • @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?

  • @The_Trident_Master
    @The_Trident_Master 15 дней назад

    How is a definitionally 2D shape roughly 1.6D?

  • @strawberrymilk9767
    @strawberrymilk9767 25 дней назад

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

  • @cocomier
    @cocomier Месяц назад

    0:07 “Triforce”

  • @Mizai
    @Mizai Месяц назад

    pretty cool

  • @JuicyJam
    @JuicyJam 22 дня назад

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

  • @Ggman854
    @Ggman854 Месяц назад

    I think this broke my brain

  • @CMDNPLYZ
    @CMDNPLYZ 22 дня назад

    Im in middle school and yet i still get it

  • @GlitchPloit
    @GlitchPloit 28 дней назад

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

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

    You're excellent, at least.

  • @Yabba_yabba_do
    @Yabba_yabba_do День назад

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

  • @aleksanderagiurre29
    @aleksanderagiurre29 Месяц назад

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

  • @nilsgensert5814
    @nilsgensert5814 Месяц назад +4

    Lots of German names here today.

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

    nice

  • @KaleidoscopeGalaxy
    @KaleidoscopeGalaxy 8 дней назад

    What would a 3d model of a human look like in 4d with the tesseract thing

  • @Dark_Dragon1337
    @Dark_Dragon1337 Месяц назад

    I think I broke my brain
    Hjalp

  • @jasonromans3016
    @jasonromans3016 Месяц назад

    6:10 AND BEYOND!

  • @Olliee709
    @Olliee709 21 день назад +3

    where is geometry dash?

  • @Lizz-o4k
    @Lizz-o4k 10 дней назад

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

  • @jerrylou9285
    @jerrylou9285 Месяц назад

    Benoit Benoit Benoit Benoit..... Mandelbrot

  • @pedrocruz4409
    @pedrocruz4409 Месяц назад +2

    Lolols I’m a “closet” nerd. I got the feels at about 3:20 after closing concept of the tesseract, then it goes into my favorite: the möbius strip/Klein bottle!! Ufff I got a Maths boner… 😳😬😅

  • @SomeTouhouPlayer
    @SomeTouhouPlayer Месяц назад

    Yooo i just realised illusion ultimate in elemental battlegrounds(a roblox game) is a tesseract

  • @TheWingus
    @TheWingus 21 день назад

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

  • @Snake-l4g
    @Snake-l4g 13 дней назад

    lmao me watching these at 3 am

  • @Quizlz
    @Quizlz Месяц назад

    i want more

  • @SuperiorStego
    @SuperiorStego Месяц назад

    Fractal, fractal, fractal, and ummm fractal

  • @scarletevans4474
    @scarletevans4474 28 дней назад

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

    • @isavenewspapers8890
      @isavenewspapers8890 27 дней 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.

  • @drakecalvingoingco498
    @drakecalvingoingco498 Месяц назад

    How about the Menger Sponge?