Seiffert´s spherical spiral - Integral methods

Hi,

I am trying to set up a seiffert´s spherical spiral

http://www.wolframalpha.com/input/?i=Seiffert%E2%80%99s+spherical+s...*SpaceCurve.SeiffertsSphericalSpiral-

using the parametric equations.

I managed to do other sorts of spirals, but here I cant get a grip on the integral.

( http://mathworld.wolfram.com/JacobiEllipticFunctions.html )

Calculus has been a while. Any practical hints how to proceed besides reading http://en.wikipedia.org/wiki/Integral ?

Thanks,

Phillip

Replies to This Discussion

Permalink Reply by Mateusz Zwierzycki on May 16, 2012 at 3:36pm

iam not good at math, but probably to make it easier is to find equations for spherical coordinates :)

Permalink Reply by Mateusz Zwierzycki on May 16, 2012 at 4:24pm

http://www.maa.org/joma/Volume8/Miller/Examples.html

It is said that this curve can be obtained by moving on a spherical surface with constant speed from top to bottom etc... this can be obtain by projecting & some intersecting, but probably that wont satisfy you.

http://wwwx.cs.unc.edu/~snape/publications/mmath/dissertation.pdf some more theory.

Permalink Reply by phillip on May 21, 2012 at 1:37am

Hi Mateusz,

Indeed I was hoping to find a way to use the Intgral, but I guess now I will try to find a way using coodinates. Thanks for the links, I think this already helps.

Will let you now, If I figure out a more satisfying solution than projection.

Best,

Phillip

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