Snail generation with logarithmic spiral and torus

Here is 2 ghx (one with GH 0.80066 and the other with GB 0.9.0005 ) for generation of snail with logarithmic spiral and torus.

Radius = exp (b*angle), in order to minimize problem I have done adimensional size. So the diameter is near 10 units.

In order to be fast I plug the circle instead of torus

First example

Tags: logarithmic, snail, spiral, torus

Attachments:

logarithmic_spiral_torus_v2.ghx, 290 KB
logarithmic_spiral_torus_v2_g0.9.ghx, 328 KB

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Permalink Reply by CongChien on August 1, 2012 at 6:01pm

Nice job

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Permalink Reply by spiral on August 1, 2012 at 10:45pm

Super, thanks to this excellent work

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Permalink Reply by Duncan W on May 14, 2013 at 5:31am

This is pretty amazing.

I'm trying hard to create a loxodrome with Grasshopper but your definition escapes me as it uses mostly custom math rather than Grasshopper components.

How would you recommend going at a loxodrome using just Grasshopper components?

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Permalink Reply by Laurent Delrieu on May 16, 2013 at 2:10pm

I posted an example with equations, but it seems quite explicit. If you want a revolution different from a sphere, it is possible but a bit more difficult. See the link below http://www.grasshopper3d.com/forum/topics/loxodrome

Feel free to ask questions.