Grasshopper

algorithmic modeling for Rhino

3D Logarithmic Spiral Surface

Hi every body,

I just discover this wonderful software and I already love it !

My first challenge is to make a 3d parametric surface :

I'll try to explain :

- It's a spiral equation based on polar coordinates (teta,R) .

- R is define with z value.

I fixed the domain for teta (0 to 720° for ie)

I fixed the domain for z (0 to 200 for ie)

X=R cos (teta)

Y=R sin (teta)

Z : 0 to 200 step of 1

So to resume, for each z, I have a spiral curve define on 2d (parallele to XY plane)

This spiral evolves from z=0 to z=200

My 3D surface join all the curve for each Z.

Unfortunatly, I obtain a 3d linear spirale ! I certainly forget parameters, have you any ideas ?

Thanks a lot.

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Permalink Reply by Igor on January 10, 2014 at 9:13am

 You need Graft the z-input in Point tool(right click), but you can construct a spiral with one z coordinate and then Extrude(Surface tab) alond z vector...

Permalink Reply by Igor on January 10, 2014 at 9:49am

 ....or like this...

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Permalink Reply by LOSBOS on January 10, 2014 at 10:32am

Many thanks for your answer  . It looks very nice but the polar radius is a function of z2 and z3 so the progression on z axis is not linear.  That s why I try to generate a spiral at different elevation and make a surface linked on all these curve. I try to use matrix too.

Permalink Reply by LOSBOS on January 11, 2014 at 5:02am

Ok I will try the graft tool

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