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Math Help - What kind of 3D object is this/what is it's parameterisation?

  1. #1
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    What kind of 3D object is this/what is it's parameterisation?

    Hello, I am trying to work out the function of this 3D object and it's parametrisation but after searching the web I have had no luck. Does anybody have any clue what it may be? I was thinking it could be some sort of inverse hyperboloid.

    http://www.ikeamarketplace.com/produ...69357_zoom.JPG

    Thank you
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  2. #2
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    Re: What kind of 3D object is this/what is it's parameterisation?

    That looks like a variation on the "bell shaped curve", rotated around the x-axis. You can write it most easily as parametric equations using "x" and the angle of rotation as parameters:

      x= t
      y= e^{-t^2}cos(\theta)
      z= e^{-t^2}sin(\theta)
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  3. #3
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    Re: What kind of 3D object is this/what is it's parameterisation?

    Thank you!

    I am attempting to integrate this, do you know what the determinant of the Jacobian matrix would be?
    You say that this is a variation of the bell shaped curve, is there a significant change or would it be ok to use those equations in finding the volume?
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  4. #4
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    Re: What kind of 3D object is this/what is it's parameterisation?

    If you are only given a picture, it is impossible to give an exact formula- we don't know the exact shape!
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