geodesic on torus: curve parameterization on surface

Replies to This Discussion

Permalink Reply by enrique soriano on November 3, 2011 at 3:42am

 

 

It's not a parametric curve on surface. 

They are just joined segments of geodesic curves. 

It's approaching the right geometry , but just an aproximation...

 

 

Permalink Reply by enrique soriano on November 3, 2011 at 4:49am

a torus knot. 

(nothing to do..) but from far away it looked like..

Permalink Reply by enrique soriano on November 3, 2011 at 6:27am

This is an attempt of the geodesic curve on torus.

The Torus is build with the parametric definition

The geodesic too. 

I think there's a major problem of mapping u and v of the parametric definition.

 

Attachments:

• GeodesicOnTorusNotSolved.gh, 14 KB

Permalink Reply by 3D Invention on March 26, 2015 at 3:13pm

Hello enrique
Did you find a solution till now? do you have some definitions?

regards

patrick

Permalink Reply by 3D Invention on March 27, 2015 at 4:31am

i found this: http://math.stackexchange.com/questions/324527/do-these-equations-c...

But i just don't know how to do that in grasshopper. how to start. does anyone know how to do this?

Permalink Reply by enrique soriano on March 27, 2015 at 5:47am

I'll look for the definition. it was a time ago.

we finally built it

http://coda-office.com/work/BigO

Permalink Reply by 3D Invention on March 28, 2015 at 3:46am

This is very interesting and impressiv work wath you are doing. i'd would be great if you find the time to search for the definition. many thanks.

Permalink Reply by Laurent DELRIEU on March 27, 2015 at 1:44pm

Do yo need something like that ?

Attachments:

• spiral_torus.gh, 17 KB

Permalink Reply by 3D Invention on March 28, 2015 at 3:49am

Hello Laurent
Yes, seems to be exactly what i'm looking for. Do you share your definition?

Permalink Reply by Laurent DELRIEU on March 28, 2015 at 6:24am

Yes of course I share it. It is in the reply "spiral_torus.gh"  it is just an equation. The pipes are not very good because they have a null radius inside the torus.

Permalink Reply by 3D Invention on March 28, 2015 at 7:51am

Haha sorry i didn't saw it.. Thank you very much!

Permalink Reply by Kim hauer on March 28, 2015 at 10:57am

Hi Laurent:

The geometry for the pipes seem to suffer from constriction, as it wraps back upon itself is related to the Moebius effect?