Le_Forgeron <lef### [at] freefr> wrote:
> Le 04/08/2015 07:47, Feeler a écrit :
> > I'm trying to make a elliptical hyperboloid like
> >
> > http://img.ctrlv.in/img/15/08/04/55c051410afa4.png
> > and
> > paraboloid like
> >
> > http://img.ctrlv.in/img/15/08/04/55c0511271b75.png
> >
> > As I was searching on POV-Ray I got
> > http://www.povray.org/documentation/view/3.6.1/471/
> >
> > Is there a good way to draw these two? Is there any macro for these?
> >
>
> no real need of macro, your two objects are basic quadric.
>
> If you get the equations for them, the transcription is easy
>
> http://www.povray.org/documentation/3.7.0/r3_4.html#r3_4_5_3_6
>
> For instance, a paraboloid on y axis, with circular base is
>
> quadric { < 1, 0, 1> , <0, 0, 0>, < 0, -1 , 0>, 0 }
>
> (To reverse it's direction, toggle the minus sign.
> To translate it along the y axis, change the single 0 at the end.)
>
> An hyperboloid can have 2 forms: one with a single surface (sheet),
> another with two sheets.
>
> http://mathworld.wolfram.com/Hyperboloid.html
>
> http://mathworld.wolfram.com/EllipticHyperboloid.html
>
> quadric { < a2, b2, -c2> , <0,0,0>,<0,0,0>, -1 }
>
> for an hyperboloid along z axis (a2, b2 and c2 being the squared
> coefficients of the reference ellipsoid)


Thanks a lot. Its very helpfull to me. But these quadric equations formed
infinite hyperboliod and peraboloid. Is there a way to limit these to.
I have a starting point and a height point i.e. I have to make it between these
two point, is it possible?

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