Le 18/05/2017 à 13:57, Bald Eagle a écrit :
> I did a bit of work on this last night, and thanks to
>
> figures 12.21 and 12.22 here:
>
http://what-when-how.com/computer-graphics-and-geometric-modeling/surfaces-in-computer-graphics-geometric-modeling-part-7/
>
> I was able to work out some of the circles that lie on the face of the algebraic
> surface, the inner ellipse, and the hyperboloid that the surface is tangent to.
>
> It's not perfect - I think there's a little bit of difference due to the scaling
> in the z direction due to B=A*0.98, but most of the hard stuff is worked out.
Thanks to your link, I would say:
A = R
C = abs(r-rho)/2
B = sqrt(A^2-C^2)
D = (r+rho)/2
with R the traditional radius (major) of the torus
r & rho the two different minor radius
and voila!
Here with 3,2 & 1 (and still the white sphere of radius 1 at origin)
Post a reply to this message
Attachments:
Download 'cyclide0.png' (107 KB)
Download 'cyclide2.png' (76 KB)
Preview of image 'cyclide0.png'
Preview of image 'cyclide2.png'
|