5-Sided Square - Numberphile

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  • Опубліковано 12 тра 2024
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  • Наука та технологія

КОМЕНТАРІ • 6 тис.

  • @numberphile
    @numberphile  5 років тому +963

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

    • @unusualfabrication9937
      @unusualfabrication9937 5 років тому +2

      he has done it, he has broke the universe

    • @skviper45
      @skviper45 5 років тому

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

    • @wobblysauce
      @wobblysauce 5 років тому +1

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

    • @Mnemonic-X
      @Mnemonic-X 5 років тому +4

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

    • @andersseruppoulsen7010
      @andersseruppoulsen7010 5 років тому

      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 4 роки тому +10386

    This man must be protected at all costs

  • @Mutantcy1992
    @Mutantcy1992 5 років тому +9882

    Find someone who loves you the way Cliff loves math.

    • @DrazkurHW
      @DrazkurHW 5 років тому +19

      watching youtube videos

    • @Mutantcy1992
      @Mutantcy1992 5 років тому +21

      glitch can't you let me have anything?

    • @mike_slav0477
      @mike_slav0477 5 років тому +35

      @@erikpowa Geometry is a part of math.

    • @TheRockindio
      @TheRockindio 5 років тому +33

      Become math and know cliff loves you.

    • @TheRockindio
      @TheRockindio 5 років тому +4

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

  • @Jazz-nr7nk
    @Jazz-nr7nk 4 роки тому +2726

    "It has the _delicious_ property"

  • @ronswanson1704
    @ronswanson1704 3 роки тому +481

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

    • @Matt-sc6gg
      @Matt-sc6gg 3 роки тому +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 роки тому +1

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

  • @BangMaster96
    @BangMaster96 4 роки тому +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 роки тому +5

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

    • @andrewandrei3062
      @andrewandrei3062 4 роки тому +21

      @@stevethea5250 OMG SQUARESSSS

    • @ginge641
      @ginge641 4 роки тому +35

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

    • @TheLinposterIsSus
      @TheLinposterIsSus 4 роки тому +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 роки тому +9

      Yeah this guy loves his life and I love that

  • @theGouramistOnline
    @theGouramistOnline 5 років тому +5859

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

    • @omniviber2891
      @omniviber2891 5 років тому +433

      He's a happy scientist

    • @alwinwinter1645
      @alwinwinter1645 4 роки тому +138

      Mad with love for science!

    • @ffuukkyootoobffuukkyootoob1411
      @ffuukkyootoobffuukkyootoob1411 4 роки тому +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 роки тому +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 роки тому

      He knows that

  • @markgearing
    @markgearing 4 роки тому +119

    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 Рік тому +6

      This made me laugh out loud

    • @nuzayerov
      @nuzayerov Місяць тому

      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 12 днів тому

      @@nuzayerov not just a sphere, a truncated icosahedron

  • @zucchi6195
    @zucchi6195 4 роки тому +573

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

    • @LeoStaley
      @LeoStaley 3 роки тому +19

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

    • @thanhngangproduction
      @thanhngangproduction 3 роки тому +10

      Came for the conclusion, left with more confusion.

    • @MrParry1976
      @MrParry1976 3 роки тому +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 роки тому +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 роки тому

      @@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

  • @DrJohnZoidberg
    @DrJohnZoidberg 5 років тому +5802

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

    • @SuperNikio2
      @SuperNikio2 5 років тому +100

      +0 modifier in both :(

    • @drano9862
      @drano9862 5 років тому +225

      It should be CHA 20 and INT 20.

    • @dusty6299
      @dusty6299 5 років тому +40

      and wisdom 10

    • @mabus4910
      @mabus4910 5 років тому +54

      10 is the human average in D&D and Pathfinder

    • @dusty6299
      @dusty6299 5 років тому +21

      @@mabus4910 who said we were talkimg abt dnd

  • @DanMan5000
    @DanMan5000 5 років тому +4032

    I really love how he loves what hes talking about

    • @lee6283
      @lee6283 5 років тому +74

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

    • @poppy3879
      @poppy3879 5 років тому +41

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

    • @finnfinity9711
      @finnfinity9711 5 років тому +24

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

    • @howardbaxter2514
      @howardbaxter2514 5 років тому +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 років тому +5

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

  • @setblink6200
    @setblink6200 3 роки тому +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 роки тому +5

      tell us, what did you find?

    • @kwarqe
      @kwarqe 3 роки тому +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 2 роки тому +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 роки тому +1

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

  • @JESSEverything
    @JESSEverything 4 роки тому +187

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

    • @ijemand5672
      @ijemand5672 2 роки тому +1

      Who

    • @whirrrl
      @whirrrl 2 роки тому +1

      he looks exactly like doc it's incredible

  • @ecchou3217
    @ecchou3217 5 років тому +3927

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

    • @connorconnor2421
      @connorconnor2421 5 років тому +98

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

    • @JonCombo
      @JonCombo 5 років тому +1

      There's always inside and outside too.

    • @thomasfa18
      @thomasfa18 4 роки тому +17

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

    • @mestevesx
      @mestevesx 4 роки тому +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 4 роки тому +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 років тому +5477

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

    • @prestigexv2151
      @prestigexv2151 5 років тому +96

      maths

    • @xCorvus7x
      @xCorvus7x 5 років тому +44

      Best of luck.

    • @kekero540
      @kekero540 5 років тому +7

      Arithmetic

    • @livedandletdie
      @livedandletdie 5 років тому +32

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

    • @SEGLOK12
      @SEGLOK12 5 років тому +1

      ...it's you again

  • @RenegadeScooter
    @RenegadeScooter 4 роки тому +206

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

    • @rleroygordon
      @rleroygordon 4 роки тому +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 роки тому +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 роки тому +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

  • @jmag579
    @jmag579 3 роки тому +83

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

    • @lilaloweree5908
      @lilaloweree5908 3 роки тому +10

      You mean when you remember you have pie

    • @mkalyan4289
      @mkalyan4289 3 роки тому +9

      @@lilaloweree5908 pi*

    • @mkalyan4289
      @mkalyan4289 3 роки тому +14

      @@lilaloweree5908 the time stamp is 3.14 too

    • @nuzayerov
      @nuzayerov Місяць тому +1

      ​@@mkalyan4289OMG THAT'S SO PERFECT

  • @alexmolina8039
    @alexmolina8039 5 років тому +390

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

    • @cheetahda1o763
      @cheetahda1o763 5 років тому

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

    • @george5924
      @george5924 4 роки тому

      He married a square

    • @teamexpt273
      @teamexpt273 4 роки тому

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

  • @Pdm70
    @Pdm70 5 років тому +1439

    This dude is the happiest person i ever saw

    • @yrcmurthy8323
      @yrcmurthy8323 5 років тому +8

      Accept it

    • @traden6279
      @traden6279 5 років тому +3

      Play crab rave with this video

    • @GameCyborgCh
      @GameCyborgCh 5 років тому +8

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

    • @hermanmunster4607
      @hermanmunster4607 5 років тому +2

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

    • @chman5365
      @chman5365 5 років тому +1

      *Seen*

  • @alexhinz5681
    @alexhinz5681 4 роки тому +123

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

  • @Jacob-il3nu
    @Jacob-il3nu 4 роки тому +23

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

  • @SKYL1N3
    @SKYL1N3 5 років тому +1575

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

    • @Hasan...
      @Hasan... 5 років тому +62

      2021: F**k Cube Earthers!

    • @user-cd1vg8le7f
      @user-cd1vg8le7f 4 роки тому +6

      Hahah.. see

    • @stulora3172
      @stulora3172 4 роки тому +17

      2025: TV screens are spheres

    • @dx8pi6o48
      @dx8pi6o48 4 роки тому +10

      Minecraft

    • @CieMaKat
      @CieMaKat 4 роки тому +1

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

  • @scottwatrous
    @scottwatrous 5 років тому +438

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

    • @ehkbv
      @ehkbv 5 років тому +2

      My bf bc he cheated on me

    • @livedandletdie
      @livedandletdie 5 років тому +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 років тому +2

      what's so abstract about negative curvature?

    • @Bryan-fl5ve
      @Bryan-fl5ve 5 років тому

      Waists and cleavage are nice examples of negative curvature.

  • @queenaunt4531
    @queenaunt4531 3 роки тому +23

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

  • @Etobio
    @Etobio 3 роки тому +26

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

  • @thescoobymike
    @thescoobymike 5 років тому +3054

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

    • @menjii4833
      @menjii4833 5 років тому +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 років тому +72

      wait i think its more than 180° not less sorry

    • @sairentov
      @sairentov 5 років тому +57

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

    • @nickgismo
      @nickgismo 5 років тому +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 років тому +8

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

  • @ogrxdy
    @ogrxdy 5 років тому +835

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

    • @JustAWorms
      @JustAWorms 5 років тому +5

      Easy Maths no me

    • @supersharpshots
      @supersharpshots 5 років тому

      Vertigo,
      Under dat.

    • @Tommy20136
      @Tommy20136 5 років тому

      Just A Worm nobody asked

    • @martiddy
      @martiddy 5 років тому +1

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

  • @karimnuri2533
    @karimnuri2533 4 роки тому +158

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

  • @macaroni9496
    @macaroni9496 3 роки тому +125

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

  • @OrangeC7
    @OrangeC7 5 років тому +220

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

    •  5 років тому +22

      OrangeC7 A *cliff*hanger indeed.

    • @felipe970421
      @felipe970421 5 років тому +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 роки тому

      NotaWalrus, Well I don't know about that

  • @MisterAppleEsq
    @MisterAppleEsq 5 років тому +741

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

    • @H457ur
      @H457ur 5 років тому +5

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

    • @sethgrasse9082
      @sethgrasse9082 5 років тому +1

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

    • @astro2191
      @astro2191 5 років тому +20

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

    • @ClickBeetleTV
      @ClickBeetleTV 5 років тому +5

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

    • @blinky_52
      @blinky_52 5 років тому +1

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

  • @bryantherocker
    @bryantherocker 4 роки тому +47

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

  • @abel8787
    @abel8787 4 роки тому +119

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

  • @nono7105
    @nono7105 5 років тому +309

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

    • @moritzheinzel815
      @moritzheinzel815 4 роки тому +1

      no no probably 1 to infinity

    • @Melkoh02
      @Melkoh02 4 роки тому +9

      @@moritzheinzel815 how would you have just one?

    • @petrmatko6628
      @petrmatko6628 4 роки тому

      @@moritzheinzel815 Were you even thinking while writing that?

    • @darkienl5886
      @darkienl5886 4 роки тому +2

      @@petrmatko6628 nah, thinking is for rookies

    • @petrmatko6628
      @petrmatko6628 4 роки тому

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

  • @AndriyVasylenko
    @AndriyVasylenko 5 років тому +1670

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

  • @soychivaspues6375
    @soychivaspues6375 4 роки тому +12

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

  • @maythefool9904
    @maythefool9904 4 роки тому +6

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

  • @olger05
    @olger05 5 років тому +1358

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

    • @jakemiller9461
      @jakemiller9461 5 років тому +41

      Olger nah, he has hundreds of Klein bottles

    • @flossenking
      @flossenking 5 років тому +22

      Under his house

    • @precumming
      @precumming 5 років тому +19

      With a robot which collects the bottles

    • @blasttrash
      @blasttrash 5 років тому +6

      Whoa, this is heavy.

    • @mr.cooldude6846
      @mr.cooldude6846 5 років тому +1

      I was gonna say that

  • @xSungamerx
    @xSungamerx 5 років тому +336

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

    • @SS-cc2cv
      @SS-cc2cv 5 років тому +18

      The Sungamer that and bongs

    • @dmaster254
      @dmaster254 5 років тому

      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!

  • @altf4magic332
    @altf4magic332 4 роки тому +7

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

  • @xenofeild983
    @xenofeild983 2 роки тому +4

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

  • @sdm000
    @sdm000 4 роки тому +1230

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

    • @terminatortot4421
      @terminatortot4421 4 роки тому +21

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

    • @martinpast2187
      @martinpast2187 3 роки тому +1

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

    • @danielhawk5390
      @danielhawk5390 3 роки тому +1

      I’m not sure I’d qualify

    • @jassipapayucatan7278
      @jassipapayucatan7278 3 роки тому +1

      Same

    • @harold121
      @harold121 3 роки тому +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.

  • @sudoscoobs1373
    @sudoscoobs1373 5 років тому +575

    478 flat earthers disliked this video

  • @lewisbotterill4948
    @lewisbotterill4948 4 роки тому +28

    Honestly love this guy's energy and enthusiasm.

  • @zacharytaylor190
    @zacharytaylor190 2 роки тому +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.

  • @Emilamlom
    @Emilamlom 4 роки тому +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 роки тому +64

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

    • @rainydeestar4806
      @rainydeestar4806 4 роки тому +89

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

    • @demenion3521
      @demenion3521 4 роки тому +58

      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 роки тому

      Omg yes bruh

    • @Josephsamuelinniss
      @Josephsamuelinniss 4 роки тому +102

      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...

  • @XanTheDragon
    @XanTheDragon 5 років тому +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.

  • @theemeraldman6580
    @theemeraldman6580 4 роки тому +10

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

  • @heneedsumilk3488
    @heneedsumilk3488 4 роки тому +46

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

    • @asheeandmonkey9855
      @asheeandmonkey9855 4 роки тому +3

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

  • @Kapin05
    @Kapin05 5 років тому +397

    This dude's voice makes me so inexplicably happy

  • @Kapin05
    @Kapin05 5 років тому +523

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

    • @thegamer5367
      @thegamer5367 5 років тому +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 років тому +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 років тому +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 років тому +3

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

    • @howardbaxter2514
      @howardbaxter2514 5 років тому +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).

  • @BerdlyGaming
    @BerdlyGaming 4 роки тому +1

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

  • @DavidWilsonJr
    @DavidWilsonJr 4 роки тому

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

  • @OddWorlderer
    @OddWorlderer 5 років тому +1312

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

  • @elonmusk6205
    @elonmusk6205 5 років тому +698

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

    • @Neris-of-the-hidden
      @Neris-of-the-hidden 5 років тому +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 років тому +7

      Outstanding move

    • @spin.chicken
      @spin.chicken 5 років тому +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 років тому +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 років тому +2

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

  • @Zyrdalf
    @Zyrdalf 4 роки тому +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 роки тому +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 роки тому +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 роки тому

    Your passion is contagious, thank you for your videos

  • @rovio6445
    @rovio6445 5 років тому +389

    I dont understand you but your enthusiasm is universal!

    • @renjia3504
      @renjia3504 5 років тому +2

      Rovio 64 MK47 saitama

  • @balthazarnaylor5874
    @balthazarnaylor5874 5 років тому +440

    This man is so jolly it literally made my week

  • @mr.cschaosworkshop4100
    @mr.cschaosworkshop4100 3 роки тому

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

  • @pikaku42069
    @pikaku42069 3 роки тому +2

    He’s so enthusiastic, I love it

  • @bulba1561
    @bulba1561 5 років тому +253

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

  • @evynmclellan6755
    @evynmclellan6755 5 років тому +298

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

    • @gonati3051
      @gonati3051 5 років тому +14

      **happ noises**

    • @son9798
      @son9798 5 років тому +4

      @SpongeBob13579 I think not

    • @skylardeslypere9909
      @skylardeslypere9909 5 років тому +1

      How did you get the sound so correctly tho

  • @toothpickprovider2614
    @toothpickprovider2614 4 роки тому +1

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

  • @StealthySpace7
    @StealthySpace7 4 роки тому

    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

  • @ZacabebOTG
    @ZacabebOTG 5 років тому +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 років тому

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

    • @requiem6465
      @requiem6465 5 років тому +6

      @james lewis the wait continues for a response.

    • @jjrulez1596
      @jjrulez1596 5 років тому +1

      @james lewis over 6 months, abd still nothing.

    • @jadethejoker1029
      @jadethejoker1029 5 років тому +1

      @@jjrulez1596 I'll @ him

    • @jadethejoker1029
      @jadethejoker1029 5 років тому +1

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

  • @KB3TLR
    @KB3TLR 5 років тому +886

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

    • @missionpupa
      @missionpupa 4 роки тому +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 роки тому +7

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

    • @jubileeYAVEL
      @jubileeYAVEL 4 роки тому +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 роки тому +1

      Next Pythagoras probably

    • @flamingeddge782
      @flamingeddge782 4 роки тому +2

      @@muskawazin2484 mathmatize

  • @ihaq31-Islam-and-Physics
    @ihaq31-Islam-and-Physics 2 роки тому

    Absolutely brilliant way of presenting.. lively and informative.

  • @VictorDiaz97
    @VictorDiaz97 3 роки тому +20

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

  • @jchry3688
    @jchry3688 5 років тому +320

    I love this professor, he always hyped

    • @MrB33keeper
      @MrB33keeper 5 років тому

      Same

    • @cordlefhrichter1520
      @cordlefhrichter1520 5 років тому

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

    • @timseguine2
      @timseguine2 5 років тому

      I think he isn't a professor, actually.

    • @MrB33keeper
      @MrB33keeper 5 років тому

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

  • @tasosjw
    @tasosjw 5 років тому +318

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

    • @XXLandorinXX
      @XXLandorinXX 5 років тому +19

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

    • @danielcastillo591
      @danielcastillo591 5 років тому +41

      Can I make a five-sided four-sided?

    • @benjaminnewlon7865
      @benjaminnewlon7865 5 років тому +25

      Sooooo, its funny in all languages except english

    • @Jack-dc2rv
      @Jack-dc2rv 5 років тому +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 років тому +3

      Do you believe in greek gods?

  • @XMarkxyz
    @XMarkxyz 2 роки тому

    I love the excitement he shows at every turning point

  • @nii_nii_v2
    @nii_nii_v2 4 роки тому

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

  • @chillerup5709
    @chillerup5709 5 років тому +466

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

  • @hecko-yes
    @hecko-yes 5 років тому +1153

    So, a Parker square?

    • @PhilBoswell
      @PhilBoswell 5 років тому +58

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

    • @Slithy
      @Slithy 5 років тому +52

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

    • @TKNinja37
      @TKNinja37 5 років тому +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 років тому +7

      Cliff Square sounds better.

    • @EchoHeo
      @EchoHeo 5 років тому +19

      Parker pentagon

  • @mystical_ip7131
    @mystical_ip7131 4 роки тому

    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

  • @igipop1981
    @igipop1981 Рік тому

    The joy in this man's eyes and speech..awesome 🙂

  • @jackdog06
    @jackdog06 5 років тому +370

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

  • @dennisolari9886
    @dennisolari9886 5 років тому +562

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

  • @thesussyfoodcridictofameri2687
    @thesussyfoodcridictofameri2687 4 роки тому +7

    Numberphile: 5 sided square
    My Math teachers: Impossible.

  • @gdal6961
    @gdal6961 4 роки тому +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

  • @gameknight5051
    @gameknight5051 5 років тому +117

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

  • @thiccalbert
    @thiccalbert 5 років тому +491

    I tried watching this without smiling along with Chris
    I failed

  • @asheeandmonkey9855
    @asheeandmonkey9855 4 роки тому +1

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

  • @jubileeYAVEL
    @jubileeYAVEL 4 роки тому +1

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

  • @electricpants_abhay
    @electricpants_abhay 5 років тому +493

    this man gives me life

    • @youssubernfissi4357
      @youssubernfissi4357 5 років тому +1

      Abhay Bhardwaj what about Pewdiepie? ?

    • @sashamortkowitz1198
      @sashamortkowitz1198 5 років тому +2

      Youssuber nfissi nah he destroys memes

    • @silverhusky7993
      @silverhusky7993 5 років тому

      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 років тому +486

    Grandpa vsause with enthusiam

    • @ep.
      @ep. 5 років тому +18

      Albert Einstein

    • @LennyUltra
      @LennyUltra 5 років тому +13

      The embodiment of anti-depression

  • @goofyahhuncleproductions42069
    @goofyahhuncleproductions42069 4 роки тому

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

  • @kuru9157
    @kuru9157 4 роки тому

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

  • @richardsantalone9380
    @richardsantalone9380 5 років тому +1051

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

    • @stulora3172
      @stulora3172 4 роки тому +28

      oooor, people in the USA

    • @dx8pi6o48
      @dx8pi6o48 4 роки тому +19

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

    • @CrittingOut
      @CrittingOut 4 роки тому +20

      @@dx8pi6o48 poor america stuck with the primitive imperial system

    • @dx8pi6o48
      @dx8pi6o48 4 роки тому +2

      @@CrittingOut ikr

    • @CrittingOut
      @CrittingOut 4 роки тому +2

      @@ohquicksey9545 They use imperial

  • @devangliya7131
    @devangliya7131 5 років тому +135

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

  • @jeffreylagrou57
    @jeffreylagrou57 4 роки тому

    I loved the enthusiasm over the 3 and 5 sided squares.

  • @an_annoying_cat
    @an_annoying_cat 4 роки тому

    He’s getting genuinely happy and it’s amazing

  • @lawrencecalablaster568
    @lawrencecalablaster568 5 років тому +536

    The Internet's goofy uncle returns :)

  • @minijoe8059
    @minijoe8059 5 років тому +464

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

    • @quaso0000
      @quaso0000 5 років тому +41

      More like 3:13

    • @Pigen_
      @Pigen_ 5 років тому +10

      He is such a precious boi ;)

    • @carsonlodder948
      @carsonlodder948 5 років тому +3

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

    • @OrangeC7
      @OrangeC7 5 років тому +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 роки тому +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.

  • @Shaquille69355
    @Shaquille69355 4 роки тому

    This man is such a legend. Great how happy he is

  • @Deeema
    @Deeema 4 роки тому +524

    Whats next? 8 sided ball? Half Life 3?

    • @minidreschi2
      @minidreschi2 4 роки тому +28

      nah...
      Half Life 3 is impossible

    • @cctrollz5706
      @cctrollz5706 4 роки тому +13

      Now we just need that 8 sided ball

    • @35571113
      @35571113 4 роки тому +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 роки тому +3

      @@minidreschi2 so you say, huh?

    • @Tony_Goat
      @Tony_Goat 4 роки тому +7

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

  • @chasebh89
    @chasebh89 5 років тому +31

    "5 sided square made of 90* angles"
    *Middle School geometry teachers* "STOP, YOU'VE VIOLATED THE LAW"

  • @TheJnblackwell2007
    @TheJnblackwell2007 4 роки тому

    This dude has a passion for this, I love it! ❤