Oloid curve division , distribution of range values

Hi there,


I drew an oloid by using the functions:
http://upload.wikimedia.org/math/5/d...21106068d5.png; http://upload.wikimedia.org/math/f/7...f654476d1b.png; http://upload.wikimedia.org/math/5/2...c6802e8fa9.png and
http://upload.wikimedia.org/math/7/1...62f9639ac2.png; http://upload.wikimedia.org/math/6/5...e235a833e2.png; http://upload.wikimedia.org/math/6/1...e37c155867.png;
If I use any equal spaced range of t(x) on http://upload.wikimedia.org/math/c/e...86cef23791.png; I will end up with an unequal range t(y), which looks like this:


Attachment 26592


My goal is to have an symmetric spacing by remaping t(x).
I tried to use a parabolic distribution for t(x) and it almost right but still off.

Attachment 26593


How do I distribute values of t(x) to get the right result?
Asking for help, please.
Thanks,
Phillip