Thanks very much for you help. i have had a kit of usesless replys. but
yours it very help full.

i would very much appiciate it if you can provide me with a formula for what
i have written.


"Tor Olav Kristensen" <tor### [at] onlineno> wrote in message
news:3A6### [at] onlineno...
>
> Adam Gibbons wrote:
> >
> >...
> >
> > but this is where I get stuck you may notice there is a rotation left in
the
> > statement,
>
> Ehh... No. Not ONE rotation "left".
>
>
> When you do this;
>
> sphere {
>   <0.51, 0.8643750, 0>, 0.1
>   rotate <10, -45, -20>
> }
>
> you make 3 rotations of the sphere relative to the axes.
>
> First the sphere is rotated 10 degrees around the x-axis.
> Then it is rotated -45 degrees around the y-axis.
> And then -20 degrees around the z-axis.
>
>
> And yes, you can use your "string" idea to visualize how
> they are rotated.
>
> In the fist rotation your string is attached to the
> closest point on the x-axis.
>
> In the second rotation your string is attached to the
> point that now has become the closest point on the y-axis.
>
> And in the third rotation your string is attached point
> that now has become the closest point on the z-axis.
>
>
> (To see which way a rotation will go around an axis,
> let your left hand thumb point in the direction of the
> axis in question, and then look at the other fingers
> of your left hand. They will now point in the direction
> that the rotation will go if the angle is positive.)
>
>
> If I can find some more spare time tomorrow, then I'll
> try to explain the calculations of the rotations.
>
> Regards,
>
> Tor Olav
> --
> mailto:tor### [at] hotmailcom
> http://www.crosswinds.net/~tok/tokrays.html

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