Spherical Fantasies

by Tuğrul Yazar | July 16, 2012 22:53

This is about conforming distortions on surfaces and creating imperfect (say ugly) surfaces. I started with planar surfaces, however, I continued with spherical ones. There are interesting results when applying trigonometric functions to spherical surfaces. Example surface equations: W=(sin(x*y)) / 2 and W=(cos(x)+sin(x-y²)) / 2

Please be patient if animations are loading slowly. But they represent a way of creating free-form-looking surfaces, highly mathematical behind the scene.

Here is the Grasshopper definition: [GHX: 0.8.0066][1]

[2]

As you see, I used the UVW coordinate system of the sphere, subdivided into 20 pieces. W represents the amount of distortion from the ideal sphere.

Endnotes:
  1. [GHX: 0.8.0066]: https://www.designcoding.net/decoder/wp-content/uploads/2012/07/2012_07_16-spherical-fantasy-1.ghx
  2. [Image]: https://www.designcoding.net/decoder/wp-content/uploads/2012/07/2012_07_17-spherical-def.jpg

Source URL: https://www.designcoding.net/spherical-fantasies/