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The topic made me a little curious and the parameterization is not overcomplicated but not trivial as well. Check there:
http://mathworld.wolfram.com/Torus.html
http://demonstrations.wolfram.com/ToroidalHelices/
There is all you need. Wolfram is frequently an excellent source for things like this.
Cheers
Edgar
Thank you Edgar, your suggestions are really helpful. The equation of Toroidal Helices is exactly what I need!
However, I found it difficult to define the parameter of angle to fit in the equation. It always comes up with errors.
The equation is showns as following:
cos(t)(R-rcos(pi+25t))
sin(t)(R-rcos(pi+25t))
rsin(pi+25t)
How to define 't' in these equations?
Thank you!
Aoi
>The topic made me a little curious and the parameterization is not overcomplicated but not trivial as well. Check there:
>
>http://mathworld.wolfram.com/Torus.html
>http://demonstrations.wolfram.com/ToroidalHelices/
>
>There is all you need. Wolfram is frequently an excellent source for things like this.
>
>Cheers
>Edgar
Thank you Edgar, your suggestions are really helpful. The equation of Toroidal Helices is exactly what I need!
However, I found it difficult to define the parameter of angle to fit in the equation. It always comes up with errors.
The equation is showns as following:
cos(t)*(R-r*cos(pi+25*t))
sin(t)*(R-r*cos(pi+25*t))
r*sin(pi+25*t)
How to define 't' in these equations?
Thank you!
Aoi