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"Log Spiral Sunflower"
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Imitation of the geometry of nature is something that has been a goal of mine in working with computer graphics. Pov-Ray is fairly well suited to imitating certain patterns found in nature, but it requires a great understanding of mathematics and programming to be able to represent very complex phenomena accurately. Here I used the golden ratio, or phi in the rotation. It actually translated into an angle of 222.492 degrees for each step. I curved the surface to make it look like the head of a sunflower.
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Scene file for viewing here: log-spiral-sunflower.txt
Scene file for downloading: log-spiral-sunflower.pov
| | by Ben Scheele -- initial 1-9-02, final 3-2-03
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"Icosavertahedron"
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The title is my invented name for my invented shape. It is an icosahedron made up of smaller icosahedrons at each vertex. I used Uwe Zimmermann's geodesics macros to create the icosahedrons, but I had to figure out how to get it to substitute in the new shape. This was also an experiment in using layered textures.
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| | by Ben Scheele -- initial 6-13-00, final 3-15-03
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"Golden Spiral"
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In order to create this golden spiraling shape I used the golden mean to scale it the the correct size for each step, as well as scaling it vertically in an exponential fashion. It is based on the idea of the "whirling square". I ended up using a recursively defined object, because the translations would get very tricky with a normal loop. I used reflective photons to create the light effects.
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Scene file for viewing here: golden-spiral.txt
Scene file for downloading: golden-spiral.pov
| | by Ben Scheele -- initial 5-24-02, final 7-25-02
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