Turning a sphere inside out

Discussion in 'The Muppet Show' started by clueless1, Jul 13, 2012.

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  1. clueless1

    clueless1 member... yep, that's what I am:)

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    See if you can get your head round this.

     
    clueless1, Jul 13, 2012
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  2. ARMANDII

    ARMANDII Low Flying Administrator Staff Member

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    After a couple of Ziggy's brews my head feels like that!!:heehee:
     
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      ARMANDII, Jul 13, 2012
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    • Phil A

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      Looks like some sort of contortion of Mercator's projection of a sphere, but its abstract so it don't really matter.

      Only just got the hang of Pi r cubed:doh:
       
      Phil A, Jul 13, 2012
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    • ARMANDII

      ARMANDII Low Flying Administrator Staff Member

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      Why did they hang Mr Pi r Cubed???:scratch::dunno::snork:
       
      ARMANDII, Jul 13, 2012
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    • Phil A

      Phil A Guest

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      He had too much volume.
       
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        Phil A, Jul 13, 2012
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      • clueless1

        clueless1 member... yep, that's what I am:)

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        There's a paradox in the video that I was too tired to spot last night. Can anyone spot it?

        Zig has perhaps inadvertently given us a clue.
         
        clueless1, Jul 13, 2012
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      • pete

        pete Growing a bit of this and a bit of that....

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        Well as it doesn't satisfactorly demonstrate how its done.

        To me its a complete load of rubbish.

        And I would like to know what material this sphere is actually made of.
         
        pete, Jul 13, 2012
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      • clueless1

        clueless1 member... yep, that's what I am:)

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        Still, nobody has figured the paradox.

        The video doesn't demonstrate a sphere being turned inside out, and nor can it ever do so. Why? Simples. A sphere is a sphere. The instant you start bending it, twisting it, squashing or stretching it, it stops being a sphere, therefore not only can you not turn a sphere inside out, you can't change its shape in any way.
         
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          clueless1, Jul 13, 2012
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        • pete

          pete Growing a bit of this and a bit of that....

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          Yeah thats what I was trying to say clueless:lunapic 130165696578242 5:
           
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            pete, Jul 13, 2012
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          • Phil A

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            That would be an ecumenical matter.
             
            Phil A, Jul 13, 2012
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          • Lolimac

            Lolimac Guest

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            :rolleyespink::thud:
             
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              Lolimac, Jul 13, 2012
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            • pete

              pete Growing a bit of this and a bit of that....

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              I was also going to say that, but I couldn't spell it.:biggrin:
               
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                pete, Jul 13, 2012
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              • Phil A

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                Ye don't spell it, ye boils it.
                 
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                  Phil A, Jul 13, 2012
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                • Dave W

                  Dave W Total Gardener

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                  Oh boy, gave myself a headache trying to follow the video and explanation.
                  The bottom line is that it's a mathematical solution that works when applied to a sphere made of abstract material. It doesn't work in the real world (yet??)

                  If you want to get even more confused and an even bigger headache, Google Prof Albert Marden and look at some of his maths.

                  Now off for a lie down:eeew:
                   
                  Dave W, Jul 14, 2012
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                • shiney

                  shiney President, Grumpy Old Men's Club Staff Member

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                  You can try looking at a Klein Bottle :thumbsup:. It's a three dimensional shape where you can move from the inside to the outside (or vice versa) without having to cross over an edge.
                  Klein Bottle.jpg


                  A few people have made them but they aren't really Klein Bottles as they're only immersed in our 3D world and not embedded in it.

                  The maths is simple as a polynomial


                  (x2 + y2 + z2 + 2y – 1)(x2 + y2 + z2 -2y -1)2 – 8x2] + 16xz(x2 + y2 + z2 -2y – 1) = 0
                  but if you can't follow that, then try this :roflol:


                  x = cos(u)*(cos(u/2)*(sqrt_2+cos(v))+(sin(u/2)*sin(v)*cos(v)))

                  y = sin(u)*(cos(u/2)*(sqrt_2+cos(v))+(sin(u/2)*sin(v)*cos(v)))

                  z = -1*sin(u/2)*(sqrt_2+cos(v))+cos(u/2)*sin(v)*cos(v)
                   
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                    shiney, Jul 14, 2012
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