5-Sided Square - Numberphile

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  • เผยแพร่เมื่อ 15 มิ.ย. 2024
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  • วิทยาศาสตร์และเทคโนโลยี

ความคิดเห็น • 6K

  • @numberphile
    @numberphile  5 ปีที่แล้ว +963

    Check our sponsor The Great Courses Plus (free trial): ow.ly/j5cB30hIvm2
    More Cliff Stoll videos: bit.ly/Cliff_Videos

    • @unusualfabrication9937
      @unusualfabrication9937 5 ปีที่แล้ว +2

      he has done it, he has broke the universe

    • @skviper45
      @skviper45 5 ปีที่แล้ว

      Next Video Idea.........Rayo's Number ....please make it

    • @wobblysauce
      @wobblysauce 5 ปีที่แล้ว +1

      But how is the scholar's cradle? on the Dog training.

    • @Mnemonic-X
      @Mnemonic-X 5 ปีที่แล้ว +4

      Numberphile Is he crazy? It is not a square at all.

    • @andersseruppoulsen7010
      @andersseruppoulsen7010 5 ปีที่แล้ว

      Why can't I look at it from my PC? It only allows me to access the page from my phone which is very annoying...

  • @anticlimbmax
    @anticlimbmax 5 ปีที่แล้ว +10389

    This man must be protected at all costs

  • @Mutantcy1992
    @Mutantcy1992 5 ปีที่แล้ว +9881

    Find someone who loves you the way Cliff loves math.

    • @DrazkurHW
      @DrazkurHW 5 ปีที่แล้ว +19

      watching youtube videos

    • @Mutantcy1992
      @Mutantcy1992 5 ปีที่แล้ว +21

      glitch can't you let me have anything?

    • @mike_slav0477
      @mike_slav0477 5 ปีที่แล้ว +35

      @@erikpowa Geometry is a part of math.

    • @TheRockindio
      @TheRockindio 5 ปีที่แล้ว +33

      Become math and know cliff loves you.

    • @TheRockindio
      @TheRockindio 5 ปีที่แล้ว +4

      @@mike_slav0477 false geometry is expressed through mathematics. Math is not an expression of geometry.

  • @Jazz-nr7nk
    @Jazz-nr7nk 4 ปีที่แล้ว +2730

    "It has the _delicious_ property"

    • @anarchocommunist3888
      @anarchocommunist3888 4 ปีที่แล้ว +19

      😋

    • @walkerhenry2045
      @walkerhenry2045 4 ปีที่แล้ว +60

      The *Scrumptious* property

    • @jn0757
      @jn0757 4 ปีที่แล้ว +56

      The *Succulent* property

    • @ivanlukas2475
      @ivanlukas2475 4 ปีที่แล้ว +39

      The *tangy* property

    • @why3994
      @why3994 4 ปีที่แล้ว +40

      The *delectable* property

  • @ronswanson1704
    @ronswanson1704 4 ปีที่แล้ว +483

    I love how much enthusiasm he has over everything he does. Just makes me happy too.

    • @Matt-sc6gg
      @Matt-sc6gg 3 ปีที่แล้ว +4

      Happiness is contagious, I love him, I would love to call him grandpa!! ❤️❤️❤️❤️❤️
      What passion for math! WOW!
      He can teach me anything and I would love ♥️❤️ to listen!

    • @maureendadivas5968
      @maureendadivas5968 3 ปีที่แล้ว +1

      i love listening to people talk about everything they're passionate about

  • @BangMaster96
    @BangMaster96 5 ปีที่แล้ว +3680

    Never seen a person so happy about squares.
    But, i'm glad people like him exist, who love what they do, and aren't afraid to show it.

    • @stevethea5250
      @stevethea5250 4 ปีที่แล้ว +5

      🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴🥴

    • @andrewandrei3062
      @andrewandrei3062 4 ปีที่แล้ว +21

      @@stevethea5250 OMG SQUARESSSS

    • @ginge641
      @ginge641 4 ปีที่แล้ว +35

      Those people tend to get that trait bullied out of them after a few years in school.

    • @TheLinposterIsSus
      @TheLinposterIsSus 4 ปีที่แล้ว +6

      Sunny shah
      Dude, minecraft and tetris sold 180,000,000 and 170,000,000 copies. Also the rubix cube is one of the most popular toys sold, so yah, people really like squares

    • @augustdruzgal475
      @augustdruzgal475 4 ปีที่แล้ว +9

      Yeah this guy loves his life and I love that

  • @DanMan5000
    @DanMan5000 5 ปีที่แล้ว +4032

    I really love how he loves what hes talking about

    • @lee6283
      @lee6283 5 ปีที่แล้ว +74

      I really love how you love how he loves what he's talking about.

    • @poppy3879
      @poppy3879 5 ปีที่แล้ว +41

      I really love how you love how he love how he loves what he's talking about

    • @finnfinity9711
      @finnfinity9711 5 ปีที่แล้ว +24

      My current math teacher is like this and it motivates you so much more

    • @howardbaxter2514
      @howardbaxter2514 5 ปีที่แล้ว +11

      That’s what we should expect out of teachers. Sadly, there is a lack of teachers in this day and age.

    • @1.4142
      @1.4142 5 ปีที่แล้ว +5

      I really love how he loves your comments saying You really love how he loves what he's talking about.

  • @markgearing
    @markgearing 4 ปีที่แล้ว +123

    Cliff must have been so easy to buy presents for as a kid.
    Mum: Merry Christmas darling.
    Cliff: A cube. Wheee. This is the happiest day of my life.
    Mum: It’s a box, honey. There’s something inside.
    Cliff: My cube is also a container! Wheeeeee.
    [Opens box. Sees soccer ball. Faints.]

    • @PaladinZaego
      @PaladinZaego ปีที่แล้ว +6

      This made me laugh out loud

    • @nuzayerov
      @nuzayerov 2 หลายเดือนก่อน

      A sphere and a cube!! (ngl those are some awesome gifts imo, personally Id have the same reaction if someone buys me one of those periodic tables which have the elements inside them

    • @Eic17H
      @Eic17H หลายเดือนก่อน

      @@nuzayerov not just a sphere, a truncated icosahedron

  • @zucchi6195
    @zucchi6195 4 ปีที่แล้ว +577

    "The universe appears to have negative curvature" video ends right there
    wtf man

    • @LeoStaley
      @LeoStaley 3 ปีที่แล้ว +19

      More recent studies have overturned that and it seems it really is more likely to have no curvature.

    • @thanhngangproduction
      @thanhngangproduction 3 ปีที่แล้ว +10

      Came for the conclusion, left with more confusion.

    • @MrParry1976
      @MrParry1976 3 ปีที่แล้ว +6

      For all those who didn't get his last line about space having a negative curvature... Gravity basically warps space, so the way the space is warped is a negative curvature... If u still didn't understand go and look up the image of gravity bending space on Google... The shape made by the bent space is basically the same shape that he made to draw a five sided square

    • @georgelionon9050
      @georgelionon9050 3 ปีที่แล้ว +3

      @@MrParry1976 He said the universe, not space in the vicinity of masses. And as we know it is wrong. At least the curvature of the universe if not flat is below our currently ability to measure the curvature if not being flat. Right now we only have an upper bound to 0.. which gets closer to 0 the better we measure.

    • @MrParry1976
      @MrParry1976 3 ปีที่แล้ว

      @@georgelionon9050 Thanks for the info. I guess I confused the two 😅
      But yeah I guess what you say makes sense since a warped universe would have many crazy effects lol

  • @theGouramistOnline
    @theGouramistOnline 5 ปีที่แล้ว +5862

    this is literaly what i imagine of when i think of mad scientists.

    • @omniviber2891
      @omniviber2891 5 ปีที่แล้ว +433

      He's a happy scientist

    • @alwinwinter1645
      @alwinwinter1645 5 ปีที่แล้ว +138

      Mad with love for science!

    • @ffuukkyootoobffuukkyootoob1411
      @ffuukkyootoobffuukkyootoob1411 4 ปีที่แล้ว +31

      Yeah, He's mad. Met him at an SF convention back in the 90s, not all that long after The Cuckoo's Egg came out. Seemed like a nice guy. Seemed very monomaniacal (which fits in with the way the Cuckoo's Egg worked out) -- he got into a subject he'd get INTO that subject, and everything else fell away.

    • @lionheart5068
      @lionheart5068 4 ปีที่แล้ว +1

      Crazy..of course with bending, curvature, angulation you can make unexpected shapes and figures. ..So what is new and funny here?..what did you discover? I don't get it.!

    • @TheBengineer3712
      @TheBengineer3712 4 ปีที่แล้ว

      He knows that

  • @DrJohnZoidberg
    @DrJohnZoidberg 5 ปีที่แล้ว +5804

    This is what happens when you have Charisma 10 *and* Intelligence 10

    • @SuperNikio2
      @SuperNikio2 5 ปีที่แล้ว +100

      +0 modifier in both :(

    • @drano9862
      @drano9862 5 ปีที่แล้ว +225

      It should be CHA 20 and INT 20.

    • @dusty6299
      @dusty6299 5 ปีที่แล้ว +40

      and wisdom 10

    • @mabus4910
      @mabus4910 5 ปีที่แล้ว +54

      10 is the human average in D&D and Pathfinder

    • @dusty6299
      @dusty6299 5 ปีที่แล้ว +21

      @@mabus4910 who said we were talkimg abt dnd

  • @JESSEverything
    @JESSEverything 4 ปีที่แล้ว +187

    If they ever make a new Back To The Future movie, I know who will star in it.

    • @ijemand5672
      @ijemand5672 2 ปีที่แล้ว +1

      Who

    • @whirrrl
      @whirrrl 2 ปีที่แล้ว +1

      he looks exactly like doc it's incredible

  • @setblink6200
    @setblink6200 4 ปีที่แล้ว +147

    "a sphere, not to be confused with a ball"
    I'ma google that real quick and be back, then you can show me your 3d witchcraft.

    • @kwarqe
      @kwarqe 3 ปีที่แล้ว +5

      tell us, what did you find?

    • @kwarqe
      @kwarqe 3 ปีที่แล้ว +17

      nvm, I googled it myself. A sphere is a surface, an empty object, and a ball is a volume, a solid object.

    • @marcellomarianetti1770
      @marcellomarianetti1770 3 ปีที่แล้ว +6

      In maths usually the ball is actually only the inside, without the border, for example the points P = (x, y, z) that satisfy x² + y² + z² < 1 make a ball in R³

    • @JdeBP
      @JdeBP 2 ปีที่แล้ว +1

      At which point he holds up a flask that is neither sphere nor ball. (-:

  • @ecchou3217
    @ecchou3217 5 ปีที่แล้ว +3927

    Math teacher : A square has always 4 sides
    Numberphile : I’m about to end this man’s whole carrier

    • @connorconnor2421
      @connorconnor2421 5 ปีที่แล้ว +98

      Spelling teacher: I'm about to educate this man -'s whole career-

    • @JonCombo
      @JonCombo 5 ปีที่แล้ว +1

      There's always inside and outside too.

    • @thomasfa18
      @thomasfa18 5 ปีที่แล้ว +17

      *sigh* a square is a two dimensional object. These figures shown have more dimensions

    • @mestevesx
      @mestevesx 5 ปีที่แล้ว +55

      @@thomasfa18 They are 2-dimensional, which means you can map them using only 2 coordinates (x,y)
      But they aren't a euclidian plane, which is what give them these properties.

    • @anissakawther4986
      @anissakawther4986 5 ปีที่แล้ว +9

      Actually it depends on what plane the shape is in . So the square does always have 4 sides but that is in euclidian (classical ) plane/space . For example depending on the curvature of the space the sum of the angles can be more (or less) than 180 degrees unlike a triangle in the euclidian space (the sum of it's angles is always 180 degrees).

  • @Mr6Sinner
    @Mr6Sinner 5 ปีที่แล้ว +5477

    I hope I can find something in life that makes me as happy as math makes this man.

    • @prestigexv2151
      @prestigexv2151 5 ปีที่แล้ว +96

      maths

    • @xCorvus7x
      @xCorvus7x 5 ปีที่แล้ว +44

      Best of luck.

    • @kekero540
      @kekero540 5 ปีที่แล้ว +7

      Arithmetic

    • @livedandletdie
      @livedandletdie 5 ปีที่แล้ว +32

      Math is fun, Cliff has had a long life, and as such has learned a lot of interesting math.

    • @SEGLOK12
      @SEGLOK12 5 ปีที่แล้ว +1

      ...it's you again

  • @alexhinz5681
    @alexhinz5681 4 ปีที่แล้ว +123

    “It’s trying to pop out the bottom on the table”

  • @RenegadeScooter
    @RenegadeScooter 4 ปีที่แล้ว +206

    "5-Sided Square"
    Math teachers: Wait, that's illegal.

    • @rleroygordon
      @rleroygordon 4 ปีที่แล้ว +5

      My problem with this claim is that a square is a quadrilateral, i.e. a four-sided figure. What he's describing is a pentagon (a five-sided figure).

    • @Hurrican444_
      @Hurrican444_ 4 ปีที่แล้ว +9

      @@rleroygordon The claim is that it should be impossible to have a Pentagon with all the angles at 90 degrees when they ususually have 108 degrees. So in a 2d plain this would be impossible.
      There are multiple different ways you could describe a square, but one of them is that all the angles are 90⁰ and all the sides are the same which only applies to squares in the 2d plain. So you could make the point that these are squares when obviously they are not because they are 3d

    • @BetaTestingUrGf
      @BetaTestingUrGf 3 ปีที่แล้ว +2

      We must also remember that the definitions of geomitry of shapes in 0 gausian curvature, doesn't all translate when you have a negative or positive gausian curvature. You could properly also make some funny looking boxes, if you were allowed to bend into some 4th spaceial dimention

  • @Pdm70
    @Pdm70 5 ปีที่แล้ว +1439

    This dude is the happiest person i ever saw

    • @yrcmurthy8323
      @yrcmurthy8323 5 ปีที่แล้ว +8

      Accept it

    • @traden6279
      @traden6279 5 ปีที่แล้ว +3

      Play crab rave with this video

    • @GameCyborgCh
      @GameCyborgCh 5 ปีที่แล้ว +8

      This Guy has 1000 custom made klein bottles underneath his house because he loves Klein bottles

    • @hermanmunster4607
      @hermanmunster4607 5 ปีที่แล้ว +2

      I would like your comment but it's currently at 666 and I don't want to ruin that

    • @chman5365
      @chman5365 5 ปีที่แล้ว +1

      *Seen*

  • @alexmolina8039
    @alexmolina8039 5 ปีที่แล้ว +389

    His enthusiasm makes my heart smile. He's just so happy about squares. ITS SO HEART WARMING

    • @cheetahda1o763
      @cheetahda1o763 5 ปีที่แล้ว

      Hahaha yes when you take the furthest step back he's happy about squares :)

    • @george5924
      @george5924 5 ปีที่แล้ว

      He married a square

    • @teamexpt273
      @teamexpt273 5 ปีที่แล้ว

      I didn’t like this comment because I didn’t want it to have 333 sorry

  • @jmag579
    @jmag579 3 ปีที่แล้ว +83

    3:14
    When I remember I have cookies n cream in the freezer.

    • @lilaloweree5908
      @lilaloweree5908 3 ปีที่แล้ว +10

      You mean when you remember you have pie

    • @mkalyan4289
      @mkalyan4289 3 ปีที่แล้ว +9

      @@lilaloweree5908 pi*

    • @mkalyan4289
      @mkalyan4289 3 ปีที่แล้ว +14

      @@lilaloweree5908 the time stamp is 3.14 too

    • @nuzayerov
      @nuzayerov 2 หลายเดือนก่อน +1

      ​@@mkalyan4289OMG THAT'S SO PERFECT

  • @Jacob-il3nu
    @Jacob-il3nu 4 ปีที่แล้ว +23

    3:13
    This guy gets so excited for math because he loves it so much

  • @thescoobymike
    @thescoobymike 5 ปีที่แล้ว +3054

    So... the Bermuda triangle is really a square?

    • @menjii4833
      @menjii4833 5 ปีที่แล้ว +62

      well according to him if its 90° on each three side than it is but i think its just less than 180°

    • @menjii4833
      @menjii4833 5 ปีที่แล้ว +72

      wait i think its more than 180° not less sorry

    • @sairentov
      @sairentov 5 ปีที่แล้ว +57

      No. It's too small for it to be curved along the earth surface.

    • @nickgismo
      @nickgismo 5 ปีที่แล้ว +27

      In reality: Probably not, since there isn't enough space between each point for the lines to curve (Meaning you would only see some small change in the angles but not enough to really make a difference)
      In theory: Yes. The earth as we now it, is not sphere (S^2 (unit sphere)). It is actually an oblate (Ellipsoid of revolution). And if i remember correct from my topology classes: "A Spheroid (General term for the shape) is a sphere where there have been some affine transformation (Geometrical way of saying that each point, line and plane on a space is preserved under some deforming)". So in theory it should hold, but that would not be true, because if you take a shape like the Bermuda triangle, then you will notice that the lines in between the points, aren't actually parallel to any longitude/latitude lines. And since they themself aren't longitude/latitude lines, they won't have a property of angle preserving (conformal) under any affine transformation. (Can't actually remember the topology term for angel preserving, so i use the word from Complex Analysis)
      So in conclussion: No. Hope this help
      EDIT: So the mapping that preserve angels is also called conformal. Took a peek in my book. And also what i meant to say in both parts was: "The angle between the lines in the bermuda shape would not have the same angles if you where to map it from the Spheroid into the sphere, since the map is not conformal, except if the lines where longitude/latitude lines, which it is not. And since our point have different longitude/latitude coordinates, that would make the angle, form such transformation, different and there the wouldn't have the same angle between the lines, and therefore not a square.

    • @angrynpc5477
      @angrynpc5477 5 ปีที่แล้ว +8

      It's not a perfect square , but if we grossly simplify, yes.

  • @scottwatrous
    @scottwatrous 5 ปีที่แล้ว +438

    Find someone as excited about your curves as this guy is for the abstract mathematical concept of negative curvature.

    • @ehkbv
      @ehkbv 5 ปีที่แล้ว +2

      My bf bc he cheated on me

    • @livedandletdie
      @livedandletdie 5 ปีที่แล้ว +7

      Don't you mean Find someone as excited about your negative curves as this guy is for the abstract mathematical concept of negative curvature. Because if you're shaped like a Pseudosphere then man would the scientist be into you.

    • @subh1
      @subh1 5 ปีที่แล้ว +2

      what's so abstract about negative curvature?

    • @Bryan-fl5ve
      @Bryan-fl5ve 5 ปีที่แล้ว

      Waists and cleavage are nice examples of negative curvature.

  • @bryantherocker
    @bryantherocker 4 ปีที่แล้ว +47

    HE SHOULD BE OUR MATH PROFESSOR ..... I SEE PASSION IN HIS EYES

  • @karimnuri2533
    @karimnuri2533 4 ปีที่แล้ว +158

    Cutest moments:
    1:57
    2:13
    3:13
    5:40

    • @david_ga8490
      @david_ga8490 3 ปีที่แล้ว +6

      Kawaii desu ne

    • @sharqstep
      @sharqstep 2 ปีที่แล้ว +1

      doing gods work eh

    • @david_ga8490
      @david_ga8490 2 ปีที่แล้ว

      @Nicholas Natale nanitteruno?

    • @david_ga8490
      @david_ga8490 2 ปีที่แล้ว

      @Nicholas Natale I don't get it

    • @yuegodelg
      @yuegodelg 2 ปีที่แล้ว

      thank u

  • @Emilamlom
    @Emilamlom 4 ปีที่แล้ว +2109

    "Our universe is something that has negative curvature."
    You can't just drop a bomb on us like that and end the video! What does that mean?

    • @megasparklegoomba6807
      @megasparklegoomba6807 4 ปีที่แล้ว +64

      Tim K it means that math and science are fake and the earth is flat 😂

    • @rainydeestar4806
      @rainydeestar4806 4 ปีที่แล้ว +89

      @@megasparklegoomba6807 Nah it means the earth is a negative globe

    • @demenion3521
      @demenion3521 4 ปีที่แล้ว +57

      it is actually in principle easy to measure. as for two-dimensional surfaces, you can use the sum of the angles of a triangle, you can use the solid angles of a tetraeder to determine if the space you life in is flat (no curvature) or has positive/negative curvature. the problem is just that the differences to no curvature in our universe are very minute and hard to measure with an actual tetraeder. but as far as i know, there is an experiment planned using satellites to probe exactly that

    • @metanightmare1
      @metanightmare1 4 ปีที่แล้ว

      Omg yes bruh

    • @Josephsamuelinniss
      @Josephsamuelinniss 4 ปีที่แล้ว +101

      I understand the theory to be, that if the universe was finite, it would have positive curvature, closed like a ball. If the universe is infinite then it would either be flat or have negative curvature. Like the opposite of closed, an anti sphere. We hypothesise from relativity, mass and energy bend space time, we also hypothesise that the universe is expanding (as we have observed). As the universe expands the density decreases, there is a critical point where the expansion of the universe and implied average density will flip curvature, in effect the universe will go from positive curvature (a finite ball) to negative curvature (and infinite exploded ball). This is all subject to the total mass energy in the universe which is unknown as we’re trapped in what we can observe. Maybe there is dark matter and the universe has enough energy to be constantly expanding (which is the theory alluded to with “the universe has negative curvature”) maybe the universe doesn’t in which case the universe probably has positive curvature (implying that there might be something outside of the universe). You could easily get lost thinking about it...

  • @AndriyVasylenko
    @AndriyVasylenko 5 ปีที่แล้ว +1670

    2:16 for a moment I seriously thought it'd be the Klein's bottle again

  • @Etobio
    @Etobio 3 ปีที่แล้ว +26

    I love how enthusiastic and excited this man is! He is truly passionate and it shows.

  • @queenaunt4531
    @queenaunt4531 3 ปีที่แล้ว +23

    It's so refreshing to see someone so exited about math/geometry/physics.
    I love this man's excitement!

  • @ogrxdy
    @ogrxdy 5 ปีที่แล้ว +835

    3:10 He’s so excited and it made me smile. I love this guy.

    • @JustAWorms
      @JustAWorms 5 ปีที่แล้ว +5

      Easy Maths no me

    • @supersharpshots
      @supersharpshots 5 ปีที่แล้ว

      Vertigo,
      Under dat.

    • @Tommy20136
      @Tommy20136 5 ปีที่แล้ว

      Just A Worm nobody asked

    • @martiddy
      @martiddy 5 ปีที่แล้ว +1

      Vertigo I know right?, I'd wish my math teachers were that enthusiastic in class.

  • @SKYL1N3
    @SKYL1N3 5 ปีที่แล้ว +1573

    2018: 1=2
    2019: a square with 5 sides
    2020: *EARTH IS A CUBE*

    • @Hasan...
      @Hasan... 5 ปีที่แล้ว +62

      2021: F**k Cube Earthers!

    • @user-cd1vg8le7f
      @user-cd1vg8le7f 5 ปีที่แล้ว +6

      Hahah.. see

    • @stulora3172
      @stulora3172 5 ปีที่แล้ว +17

      2025: TV screens are spheres

    • @dx8pi6o48
      @dx8pi6o48 5 ปีที่แล้ว +10

      Minecraft

    • @CieMaKat
      @CieMaKat 4 ปีที่แล้ว +1

      Wait? Did I missed some "revelation" regardint 1=2? Have you made that up or there's some paper?

  • @macaroni9496
    @macaroni9496 4 ปีที่แล้ว +125

    Person: why do you need a 5-sided square?
    Him: *my goals are beyond your understanding*

  • @abel8787
    @abel8787 4 ปีที่แล้ว +119

    Start of the video: triangle with 90 degree angles
    End of the video: *out universe has negative curvature*

  • @MisterAppleEsq
    @MisterAppleEsq 5 ปีที่แล้ว +741

    I'm going to start saying that things have “delicious properties”.

    • @H457ur
      @H457ur 5 ปีที่แล้ว +5

      me too. As soon as I heard that I was going to comment but you got here first.

    • @sethgrasse9082
      @sethgrasse9082 5 ปีที่แล้ว +1

      I've been doing that on my own for a long time. 🙂

    • @astro2191
      @astro2191 5 ปีที่แล้ว +20

      I think he explained curvature using a slice of pizza once, so curvature is indeed delicious

    • @ClickBeetleTV
      @ClickBeetleTV 5 ปีที่แล้ว +5

      At first I thought you wrote "deciduous properties" which I am also going to start saying now

    • @blinky_52
      @blinky_52 5 ปีที่แล้ว +1

      MaxPeck lol i remember. It changed the way i eat pizza haha

  • @sdm000
    @sdm000 4 ปีที่แล้ว +1230

    *I'll attend every math lesson if my teacher is this amazing dude*

    • @terminatortot4421
      @terminatortot4421 4 ปีที่แล้ว +21

      So would I! This guy is the reason I actually like math lol

    • @martinpast2187
      @martinpast2187 4 ปีที่แล้ว +1

      I would actually want to go to college idt this mans teaching xD

    • @danielhawk5390
      @danielhawk5390 4 ปีที่แล้ว +1

      I’m not sure I’d qualify

    • @jassipapayucatan7278
      @jassipapayucatan7278 3 ปีที่แล้ว +1

      Same

    • @harold121
      @harold121 3 ปีที่แล้ว +5

      Sadly that's just a hollow dream. Most and most contents in ANY field are dull and prolonged even with entertaining teaching skills, and these fun things in the posted videos are just rare sweet sprinkles that keep the people going.

  • @heneedsumilk3488
    @heneedsumilk3488 4 ปีที่แล้ว +46

    6:05
    "it's a PENTAGAHN!!!"

    • @asheeandmonkey9855
      @asheeandmonkey9855 4 ปีที่แล้ว +3

      I love how he says it, it's so incredibly cute! 😍

  • @altf4magic332
    @altf4magic332 4 ปีที่แล้ว +7

    I love how at 5:41 the camerman moves away from Cliff

  • @olger05
    @olger05 5 ปีที่แล้ว +1358

    This gentleman looks like he's probably making a flux capacitor in his garage. Can't wait doc! :)

    • @jakemiller9461
      @jakemiller9461 5 ปีที่แล้ว +41

      Olger nah, he has hundreds of Klein bottles

    • @flossenking
      @flossenking 5 ปีที่แล้ว +22

      Under his house

    • @precumming
      @precumming 5 ปีที่แล้ว +19

      With a robot which collects the bottles

    • @blasttrash
      @blasttrash 5 ปีที่แล้ว +6

      Whoa, this is heavy.

    • @mr.cooldude6846
      @mr.cooldude6846 5 ปีที่แล้ว +1

      I was gonna say that

  • @Kapin05
    @Kapin05 5 ปีที่แล้ว +397

    This dude's voice makes me so inexplicably happy

  • @lewisbotterill4948
    @lewisbotterill4948 4 ปีที่แล้ว +28

    Honestly love this guy's energy and enthusiasm.

  • @soychivaspues6375
    @soychivaspues6375 4 ปีที่แล้ว +12

    Oh my, I Loved this man instantly. The passion and the love he dedicates to his findings. Barbaro(amazing)

  • @OrangeC7
    @OrangeC7 5 ปีที่แล้ว +220

    "Our universe seems to have something of negative curvature..."
    *video ends*
    _Biggest cliffhanger ever_

    •  5 ปีที่แล้ว +22

      OrangeC7 A *cliff*hanger indeed.

    • @felipe970421
      @felipe970421 5 ปีที่แล้ว +19

      I'll un-cliffhang it. It's not actually true. To the best of our measuring ability it seems to be flat, but there's obviously a margin of error so it may have slight curvature.

    • @jubileeYAVEL
      @jubileeYAVEL 4 ปีที่แล้ว

      NotaWalrus, Well I don't know about that

  • @XanTheDragon
    @XanTheDragon 5 ปีที่แล้ว +746

    I love math, don't get me wrong, I love my numbers.
    But DAMN. Cliff really loves math, and he's beyond anything I've seen. I'd be surprised to see someone who likes it more than him.

  • @VictorDiaz97
    @VictorDiaz97 3 ปีที่แล้ว +20

    Imagine if everyone had this man as their teacher. People wouldn't hate math so much.

  • @maythefool9904
    @maythefool9904 4 ปีที่แล้ว +6

    I live for the way this man gets excited about maths. It makes me excited too.

  • @xSungamerx
    @xSungamerx 5 ปีที่แล้ว +336

    Cliff Stoll, the singular reason glass blowers make enough money to live.

    • @SS-cc2cv
      @SS-cc2cv 5 ปีที่แล้ว +18

      The Sungamer that and bongs

    • @dmaster254
      @dmaster254 5 ปีที่แล้ว

      Don't forget NurdRage's tendency to destroy tons of borosilicate glassware trying to make metallic sodium and protect the glassware from the sodium hydroxide. And after months of experimenting, he finally did it!

  • @balthazarnaylor5874
    @balthazarnaylor5874 5 ปีที่แล้ว +440

    This man is so jolly it literally made my week

  • @theemeraldman6580
    @theemeraldman6580 4 ปีที่แล้ว +10

    The most wholesome mathematician I've seen in my life!

  • @xenofeild983
    @xenofeild983 3 ปีที่แล้ว +4

    nothing makes me happier than to see a man go giddy over math. So pure

  • @sudoscoobs1373
    @sudoscoobs1373 5 ปีที่แล้ว +574

    478 flat earthers disliked this video

  • @OddWorlderer
    @OddWorlderer 5 ปีที่แล้ว +1312

    Make a 6-sisded square, just so I can see you smile more :)

    • @enragedmoosemedia
      @enragedmoosemedia 5 ปีที่แล้ว +29

      Deca-square. We have the technology...

    • @MrRobert27k
      @MrRobert27k 5 ปีที่แล้ว +4

      Try making it on a mobius torrid

    • @tron7_
      @tron7_ 5 ปีที่แล้ว +7

      cube

    • @gappity
      @gappity 5 ปีที่แล้ว +1

      @@tron7_ lol

    • @xplodingmuffin3092
      @xplodingmuffin3092 5 ปีที่แล้ว +1

      A six sided square..... hmm

  • @zacharytaylor190
    @zacharytaylor190 2 ปีที่แล้ว +3

    Cliff Stoll. Contagious enthusiasm for topology, astronomer, electronic musician mentored by Moog himself, not to mention discovering and aiding in the capture of a KGB Computer Hacker!
    Absolute legend.

  • @BerdlyGaming
    @BerdlyGaming 4 ปีที่แล้ว +1

    How excited this guy gets and how happy he is about this is so wholesome

  • @rovio6445
    @rovio6445 5 ปีที่แล้ว +389

    I dont understand you but your enthusiasm is universal!

    • @renjia3504
      @renjia3504 5 ปีที่แล้ว +2

      Rovio 64 MK47 saitama

  • @evynmclellan6755
    @evynmclellan6755 5 ปีที่แล้ว +298

    At 3:14 anonymous made the most inspirational quote.
    “Jfbdbdhdhdh”
    If I do say so myself, astonishing!

    • @gonati3051
      @gonati3051 5 ปีที่แล้ว +14

      **happ noises**

    • @son9798
      @son9798 5 ปีที่แล้ว +4

      @SpongeBob13579 I think not

    • @skylardeslypere9909
      @skylardeslypere9909 5 ปีที่แล้ว +1

      How did you get the sound so correctly tho

  • @Zyrdalf
    @Zyrdalf 4 ปีที่แล้ว +25

    3 sided square: my mind is blown
    Is there an opposite of a sphere?
    Me: yeah, the inside of a sphere...
    Pulls out a pseudo sphere: my mind is blown again.
    Makes a 5 sided square: another mind explosion.
    Me contemplating why I am extremely bad at math, yet I still find it mind blowingly interesting. Will spend rest of day thinking.
    Pls don’t read this comment.

    • @darthinsidious838
      @darthinsidious838 4 ปีที่แล้ว +1

      You find this interesting *because* you are bad at math. Think about it. A magician isn't excited by magic because he knows the tricks.

    • @TimThomason
      @TimThomason 4 ปีที่แล้ว +2

      @@darthinsidious838 That's a little harsh, and also magicians are usually the most enthusiastic about magic tricks (that's why they become magicians). OP probably likes math more than he realizes.

  • @nicklewry3854
    @nicklewry3854 4 ปีที่แล้ว

    Your passion is contagious, thank you for your videos

  • @bulba1561
    @bulba1561 5 ปีที่แล้ว +253

    This man's excitement for this topic makes me happy.

    • @av28379
      @av28379 4 ปีที่แล้ว +1

      Me too

  • @ZacabebOTG
    @ZacabebOTG 5 ปีที่แล้ว +320

    Cliff Stoll is so awesome. He's excited like a little kid, and that has me excited like a little kid. If I'd had maths and physics teachers like this, I'd have remembered so much more. 🙂

    • @ajayghangas1090
      @ajayghangas1090 5 ปีที่แล้ว

      Yeah you would have remembered so much fake and false knowledge.

    • @requiem6465
      @requiem6465 5 ปีที่แล้ว +6

      @james lewis the wait continues for a response.

    • @jjrulez1596
      @jjrulez1596 5 ปีที่แล้ว +1

      @james lewis over 6 months, abd still nothing.

    • @jadethejoker1029
      @jadethejoker1029 5 ปีที่แล้ว +1

      @@jjrulez1596 I'll @ him

    • @jadethejoker1029
      @jadethejoker1029 5 ปีที่แล้ว +1

      @@ajayghangas1090 Are you going to explain yourself or nahh?

  • @DavidWilsonJr
    @DavidWilsonJr 4 ปีที่แล้ว

    His joy is so contagious... my day has just improved!

  • @mr.cschaosworkshop4100
    @mr.cschaosworkshop4100 3 ปีที่แล้ว

    I love how energetic this man is he is informative yet enjoyable to watch

  • @KB3TLR
    @KB3TLR 5 ปีที่แล้ว +886

    if this guy was my high school or college math teacher i would probably be a mathematician lol

    • @missionpupa
      @missionpupa 4 ปีที่แล้ว +9

      He teaches 8th graders university level physics. He doesnt have to teach children, but he understands the importance of doing it.

    • @LincolnChamberlin
      @LincolnChamberlin 4 ปีที่แล้ว +7

      I have a couple teachers this enthusiastic, unfortunately after usually bad teachers

    • @jubileeYAVEL
      @jubileeYAVEL 4 ปีที่แล้ว +2

      collegebandi, I know right? this just made me so happy, glad I can learn from people like him through the power of the internet.

    • @ramanibai1426
      @ramanibai1426 4 ปีที่แล้ว +1

      Next Pythagoras probably

    • @flamingeddge782
      @flamingeddge782 4 ปีที่แล้ว +2

      @@muskawazin2484 mathmatize

  • @Kapin05
    @Kapin05 5 ปีที่แล้ว +522

    This guy makes everything really exciting.
    This just proves that it ain't maths that bores kids, it's math teachers.

    • @thegamer5367
      @thegamer5367 5 ปีที่แล้ว +9

      Kra Z Kapin
      Its a teachers job to make a student willing to learn if you act happy and exsited the students will reflect that in the fact that they are willing to show atension

    • @andrewkim9090
      @andrewkim9090 5 ปีที่แล้ว +35

      Kra Z Kapin
      I can't blame the teachers; most of them are trying their best to make things interesting. They're just confined by a uniform, uninteresting curriculum. In my opinion, common core is one of the most useless things created for education.

    • @RanEncounter
      @RanEncounter 5 ปีที่แล้ว +9

      While I agree that some of the fault is in the math teachers corner, you cannot make an assumption that all of the fault is in the teachers corner. You would never teach the kids how to learn by themselves if you always needed an enthusiastic teacher around. It is a balance act and most kids do not want the same thing.

    • @Kapin05
      @Kapin05 5 ปีที่แล้ว +3

      I understand that. I'm just saying that teachers hold a somewhat large amount of the blame for bad education.

    • @howardbaxter2514
      @howardbaxter2514 5 ปีที่แล้ว +1

      Agreed. I’ve had great teachers and horrible teachers. The great teachers have significantly helped me along the way and actually got me engaged on subjects that I either love, like math, or hate like English. The bad teachers have openly discouraged me from pursuing other subjects like chemistry (chem professor and chem teaching assistant in high school), and English (I’ve only had one amazing English teacher, and he was my Russian I/II teacher).

  • @toothpickprovider2614
    @toothpickprovider2614 4 ปีที่แล้ว +1

    This man has brought me to tears of joy out of pure excitment.

  • @pikaku42069
    @pikaku42069 3 ปีที่แล้ว +2

    He’s so enthusiastic, I love it

  • @chillerup5709
    @chillerup5709 5 ปีที่แล้ว +466

    07:05 Trying to fit sleep, social life, studying and working into my program

  • @elonmusk6205
    @elonmusk6205 5 ปีที่แล้ว +698

    *Makes a 5 sided square*
    Wait, that's an illegal move

    • @Neris-of-the-other
      @Neris-of-the-other 5 ปีที่แล้ว +21

      From the moment he started to project 2D shapes, onto the 3D surface, he was out of Euclidean geometry and operated in non-Euclidean. So, it was a pretty legal move.

    • @naverilllang
      @naverilllang 5 ปีที่แล้ว +7

      Outstanding move

    • @spin.chicken
      @spin.chicken 5 ปีที่แล้ว +1

      As far as my definition goes a square needs to have FOUR sides. . . I've never heard any definition that operates outside of that. Euclids work on geometry is something we should follow...otherwise I can say I made a 6 sided triangle, if I wanted...

    • @remirousselet6867
      @remirousselet6867 5 ปีที่แล้ว +3

      The definition of a square is "Has at least 3 corner of 90deg and each side have the same length". So this technically fits the definition.

    • @anonofyesterday4650
      @anonofyesterday4650 5 ปีที่แล้ว +2

      @@naverilllang It's an older meme, sir but it checks out.

  • @nii_nii_v2
    @nii_nii_v2 4 ปีที่แล้ว

    This guy's excitement and passion for math is really contagious

  • @theemptyatom
    @theemptyatom ปีที่แล้ว +1

    Oh my word, "it's trying to pop out of the bottle of the table" - love this guy!

  • @nono7105
    @nono7105 5 ปีที่แล้ว +309

    Teacher: How many sides does a square have?
    Me: Eh, 3 to 5.

    • @moritzheinzel815
      @moritzheinzel815 4 ปีที่แล้ว +1

      no no probably 1 to infinity

    • @Melkoh02
      @Melkoh02 4 ปีที่แล้ว +9

      @@moritzheinzel815 how would you have just one?

    • @petrmatko6628
      @petrmatko6628 4 ปีที่แล้ว

      @@moritzheinzel815 Were you even thinking while writing that?

    • @darkienl5886
      @darkienl5886 4 ปีที่แล้ว +2

      @@petrmatko6628 nah, thinking is for rookies

    • @petrmatko6628
      @petrmatko6628 4 ปีที่แล้ว

      @@darkienl5886 I actually red that first time like: reading is for *cookies*

  • @jchry3688
    @jchry3688 5 ปีที่แล้ว +320

    I love this professor, he always hyped

    • @MrB33keeper
      @MrB33keeper 5 ปีที่แล้ว

      Same

    • @cordlefhrichter1520
      @cordlefhrichter1520 5 ปีที่แล้ว

      Same, you love this professor, or same, you're always hyped!? Inquiring minds must know!!!

    • @timseguine2
      @timseguine2 5 ปีที่แล้ว

      I think he isn't a professor, actually.

    • @MrB33keeper
      @MrB33keeper 5 ปีที่แล้ว

      Liam McIrishman - same as in I love this guy's enthusiasm. But I love learning new things too.

  • @StealthySpace7
    @StealthySpace7 4 ปีที่แล้ว

    I love how much he enjoys this. It is a legitimate pleasure for him to think about these things and I now find some joy too

  • @ihaq31-Islam-and-Physics
    @ihaq31-Islam-and-Physics 2 ปีที่แล้ว

    Absolutely brilliant way of presenting.. lively and informative.

  • @thiccalbert
    @thiccalbert 5 ปีที่แล้ว +491

    I tried watching this without smiling along with Chris
    I failed

  • @jackdog06
    @jackdog06 5 ปีที่แล้ว +370

    “You know as well as I do”
    *explains something I’d never thought about before*
    Me: uh... yeah... I sure did know that...

    • @rebelsouljaz
      @rebelsouljaz 5 ปีที่แล้ว +6

      he was speaking to the cameraman not you specifically

    • @oivamickelsson3864
      @oivamickelsson3864 5 ปีที่แล้ว +1

      rebelsouljaz brady's no cameraman

    • @northbaseuk882
      @northbaseuk882 5 ปีที่แล้ว +1

      *coughs* I knew this.

    • @jackdog06
      @jackdog06 5 ปีที่แล้ว +2

      Erik r/iamverysmart

    • @legendgames128
      @legendgames128 5 ปีที่แล้ว

      I knew about that

  • @Benjihalk
    @Benjihalk 4 ปีที่แล้ว +1

    He's just so happy about the constative negative curvature

  • @jubileeYAVEL
    @jubileeYAVEL 4 ปีที่แล้ว +1

    I just got unreasonably giddy about this, it made me sooooo happy! !

  • @devangliya7131
    @devangliya7131 5 ปีที่แล้ว +135

    7:37 "It's trying to pop out of the bottom of the table" Cliff is amazing!

  • @gameknight5051
    @gameknight5051 5 ปีที่แล้ว +117

    Little did I know the shape of squidwards clarinet was the most mind blowing thing I’d hear today

  • @XMarkxyz
    @XMarkxyz 2 ปีที่แล้ว

    I love the excitement he shows at every turning point

  • @mystical_ip7131
    @mystical_ip7131 4 ปีที่แล้ว

    This is why I love maths. Getting so excited over simple things like this. Going by Cliff's expressions you can tell he near enough lives for maths

  • @hecko-yes
    @hecko-yes 5 ปีที่แล้ว +1152

    So, a Parker square?

    • @PhilBoswell
      @PhilBoswell 5 ปีที่แล้ว +58

      I vote we call this a "Stoll Square" ^_^

    • @Slithy
      @Slithy 5 ปีที่แล้ว +52

      Let's call it "Cliff Square (not to be confused with square cliff)".

    • @TKNinja37
      @TKNinja37 5 ปีที่แล้ว +44

      A square that doesn't have 4 sides, but all angles 90°, and all sides equal. That's not a Parker square. It's still somehow perfect in its ways.
      I like "Stoll squares". Further, I like trisquare and pentasquare for those two.

    • @leandrogulrt
      @leandrogulrt 5 ปีที่แล้ว +7

      Cliff Square sounds better.

    • @EchoHeo
      @EchoHeo 5 ปีที่แล้ว +19

      Parker pentagon

  • @minijoe8059
    @minijoe8059 5 ปีที่แล้ว +464

    2:13, i thought he was going to explode or sth

    • @quaso0000
      @quaso0000 5 ปีที่แล้ว +41

      More like 3:13

    • @Pigen_
      @Pigen_ 5 ปีที่แล้ว +10

      He is such a precious boi ;)

    • @carsonlodder948
      @carsonlodder948 5 ปีที่แล้ว +3

      And a wrong one because a polygon can’t have a curved edge

    • @OrangeC7
      @OrangeC7 5 ปีที่แล้ว +1

      ​@@carsonlodder948 It doesn't have a curved edge on the surface it's on, although it curves in 3 dimensions (mostly because the surface itself curves in 3 dimensions). The whole idea is that we are talking about 2 dimensional surfaces and the properties of those surfaces. I would recommend VSauce's "Which Way Is Down?" video for a method of determining truly curved and truly straight lines.
      Wait a second what are you even talking about no one mentioned polygons in this thread

  • @Diabeanie
    @Diabeanie 3 ปีที่แล้ว +1

    I feel like I could learn in ten minutes a whole year of high school math if this sir was my teacher, what powerful encouragement his excitement and enthusiasm would be to me, honestly.

  • @breezethecat1
    @breezethecat1 4 ปีที่แล้ว

    He looks so happy just to explain this to us! I love him!!

  • @electricpants_abhay
    @electricpants_abhay 5 ปีที่แล้ว +493

    this man gives me life

    • @youssubernfissi4357
      @youssubernfissi4357 5 ปีที่แล้ว +1

      Abhay Bhardwaj what about Pewdiepie? ?

    • @sashamortkowitz1198
      @sashamortkowitz1198 5 ปีที่แล้ว +2

      Youssuber nfissi nah he destroys memes

    • @silverhusky7993
      @silverhusky7993 5 ปีที่แล้ว

      He scares me with his fascination with 3d objects, if it was anything and anywhere else, he could be deem insane, but is great at catching my attention

  • @johnnyparellax491
    @johnnyparellax491 5 ปีที่แล้ว +486

    Grandpa vsause with enthusiam

    • @ep.
      @ep. 5 ปีที่แล้ว +18

      Albert Einstein

    • @LennyUltra
      @LennyUltra 5 ปีที่แล้ว +13

      The embodiment of anti-depression

  • @Joshuagilchrist55
    @Joshuagilchrist55 4 ปีที่แล้ว

    This guys excitement is awesome. Also very interesting.

  • @kuru9157
    @kuru9157 4 ปีที่แล้ว

    i love how excited cliff stoll is, it's very catchy!

  • @tasosjw
    @tasosjw 5 ปีที่แล้ว +318

    The title is very funny in Greek. Because "square" is translated "τετράγωνο" which means four corners.

    • @XXLandorinXX
      @XXLandorinXX 5 ปีที่แล้ว +19

      same in Japanese. 四角 (pronounced shikaku) is Japanese for square. 四 means four and 角 means angle

    • @danielcastillo591
      @danielcastillo591 5 ปีที่แล้ว +41

      Can I make a five-sided four-sided?

    • @benjaminnewlon7865
      @benjaminnewlon7865 5 ปีที่แล้ว +25

      Sooooo, its funny in all languages except english

    • @Jack-dc2rv
      @Jack-dc2rv 5 ปีที่แล้ว +5

      They aren't all necessarily translations for the word square. As each of you have pointed out, each word in each language can be broken down into 2 parts: "four" and "angle/corner", so why is it that in English this does not happen? I believe the translations from each language into English would be more correct as "Quadrangle", "quadrilateral" or "Tetragon". Whilst the accepted definition for square is specifically four equal sides and corners, I've never liked it because it does tend to fall apart in more complex planar geometry. Equal sides and corners without a specific quantity would be how I would want it defined

    • @CostcoComrade
      @CostcoComrade 5 ปีที่แล้ว +3

      Do you believe in greek gods?

  • @dennisolari9886
    @dennisolari9886 5 ปีที่แล้ว +562

    When you’re on your computer doing nothing and you mom calls you down for pi
    3:14

  • @gdal6961
    @gdal6961 4 ปีที่แล้ว +1

    This is my favourite math teacher in numberphile.
    Just look on his video about Klein bottles he’s more happy about math than me ever

  • @goofyahhuncleproductions42069
    @goofyahhuncleproductions42069 4 ปีที่แล้ว

    this dude is my favorite guy on numberphile hes so cool and explains stuff so easily and makes it sound fun!

  • @Deeema
    @Deeema 4 ปีที่แล้ว +524

    Whats next? 8 sided ball? Half Life 3?

    • @minidreschi2
      @minidreschi2 4 ปีที่แล้ว +28

      nah...
      Half Life 3 is impossible

    • @cctrollz5706
      @cctrollz5706 4 ปีที่แล้ว +13

      Now we just need that 8 sided ball

    • @35571113
      @35571113 4 ปีที่แล้ว +9

      Actually, the 8 sided ball is easy. Just take a ball in the Manhattan metric in 4 dimensions... :P
      I'll show myself out.

    • @tinydiccbandito4953
      @tinydiccbandito4953 4 ปีที่แล้ว +3

      @@minidreschi2 so you say, huh?

    • @Tony_Goat
      @Tony_Goat 4 ปีที่แล้ว +7

      We, we got uhhh, Half Life 3 now, soooo....

  • @richardsantalone9380
    @richardsantalone9380 5 ปีที่แล้ว +1051

    "90 degrees, 90 degrees, 90 degrees, 90 degrees,"
    people in the sahara counting their temperature

    • @stulora3172
      @stulora3172 5 ปีที่แล้ว +28

      oooor, people in the USA

    • @dx8pi6o48
      @dx8pi6o48 5 ปีที่แล้ว +19

      Or USA depending on which system you’re using (the normal one or the one that doesn’t make sense)

    • @CrittingOut
      @CrittingOut 4 ปีที่แล้ว +20

      @@dx8pi6o48 poor america stuck with the primitive imperial system

    • @dx8pi6o48
      @dx8pi6o48 4 ปีที่แล้ว +2

      @@CrittingOut ikr

    • @CrittingOut
      @CrittingOut 4 ปีที่แล้ว +2

      @@ohquicksey9545 They use imperial

  • @WatchOnYT
    @WatchOnYT 4 ปีที่แล้ว

    I like the way he's making videos. He's amazing!

  • @asheeandmonkey9855
    @asheeandmonkey9855 4 ปีที่แล้ว +1

    *Squeal!* He is so cute when he gets excited! 😍 This is the most precious thing that I have ever seen!

  • @lawrencecalablaster568
    @lawrencecalablaster568 5 ปีที่แล้ว +536

    The Internet's goofy uncle returns :)

  • @user84074
    @user84074 5 ปีที่แล้ว +112

    MARTY! I was hanging a clock. I fell and hit my head. When I came to, I drew THIS! (3-sided square)

  • @konradlemanski8195
    @konradlemanski8195 4 ปีที่แล้ว

    This man is having so much fun and he seems so happy, don't know why but it just makes me happy