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"Sierpinski Recursion"
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I designed a pseudofractal in ninth grade which I was finally able to represent well using Pov-Ray. I made a variation on that fractal to move it into space instead of just having it exist in a plane, and was flabbergasted to see the Sierpinski Gasket was formed in it. I have it changing color as it moves to higher levels of recursion, which makes this familiar form highly visible.
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Scene file for viewing here: sierpinski-recursion.txt
Scene file for downloading: sierpinski-recursion.pov | | by Ben Scheele -- initial 7-9-00, intermediate 4-1-01, final 4-15-02
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"Light On The Pyramid"
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This scene uses the same basic code as the previous one. It involves a rotation this time instead of just a translation. I used a radial pattern for the background, and I set up the lighting so that it would cast ligt through the open portions and illuminate the tips of the similar groups along the center-line.
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Scene file for viewing here: light-on-the-pyramid.txt
Scene file for downloading: light-on-the-pyramid.pov | | by Ben Scheele -- initial 7-9-00, final 3-6-03
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"Grapey"
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here the structure branches off in the four cardinal directions and then rotates upwards.
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Scene file for viewing here: grapey.txt
Scene file for downloading: grapey.pov | | by Ben Scheele -- initial 3-16-02, intermediate 3-31-02, final 3-2-03
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"9th Recursion"
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In this case one pair of opposite pieces is rotated up, the other down. I had it alternate between spheres and dispersive glass cubes for each successive level. The dispersion appears odd because I used a value of .5, when the suggested range is between 1 and 1.1. I put the structure in a container so that the refracted and reflected photons would be visible. The radiosity settings are high enough to give it a soft feeling, but not so high that it would take too long to render.
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Scene file for viewing here: 9th-recursion.txt
Scene file for downloading: 9th-recursion.pov | | by Ben Scheele 3-16-02
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"Recursive Border 5"
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This code is based on Tsutomu Higo's "Recursive Pipes" scenes. His site is called Graphics Gallery Cyberbust. I first used it to plot out the Koch Snowflake and the Sierpinski Triangle. It uses a recursive generator defined by an array of sets of rotation angles. After every step, each segment in the object is replaced with itself. The generator for this scene is kind of a zig-zag shape. To see it, reduce the number of levels in the source code and try rendering it. It is very fun to play with. This technique still uses the same basic concept that the other scenes here do. I added a bit more detail by putting in a plane to have shadows cast upon.
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Scene file for viewing here: recursive-border-5.txt
Scene file for downloading: recursive-border-5.pov | | by Ben Scheele -- initial 5-20-01, final 3-19-03
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"Recurset2 Retex"
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Here I took the template of the sierpinski triangle generator and changed the rotations a bit. The shapes are merged spheres and cylinders which were then hollowed out a bit. This shape leads to some very interesting internal reflections, which are visible on the 1024x768 wallpaper version. This is a zoomed in and rotated portion of it, which was allowed by the fact that I originally rendered it at 2500x2500 resolution and with 9 levels of recursion so that it would have good details at that size.
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Wallpaper version
Scene file for viewing here: recurset2-retex.txt
Scene file for downloading: recurset2-retex.pov | | by Ben Scheele -- initial 10-20-01, final 3-19-03
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"Mirror Menger"
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Here I explored inside a menger sponge and found that a 180 degree camera view creates seemingly infinite reflections. The menger sponge was created using a simple recursive macro. I created it in a different way than usual, by setting the positions for the objects using an array of vectors. The background is a large sphere with a turbulence-warped wrinkle texture and a color map, which works well for this type of view.
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Wallpaper version
Scene file for viewing here: mirror-menger.txt
Scene file for downloading: mirror-menger.pov | | by Ben Scheele -- 8-15-03
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"Cantor-Koch"
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this image is a kind of crystalline pseudo-fractal which combines the forms of both Cantor's Dust and Koch's Snowflake. Using my adaptation of Tsutomu Higo's recursive pipes macro, I explored many different configurations through sets of animations. I varied the amount and order of the rotations along the three coordinate axes, and found many interesting patterns. It was very difficult to get one that showed Cantor's dust well, but when I finally got it I was thrilled to see that another form, that of a woven "Star of David" had appeared at the center.
I coded it so that the color would change along with the level of recursion, which created the white frosted look around the edge. The rich colors in the interior are due more to the differently colored light sources surrounding it, and the interreflections allowed by a max trace level of 7.
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Wallpaper version
Scene file for viewing here: cantor-koch.txt
Scene file for downloading: cantor-koch.pov | | by Ben Scheele -- 8-31-03
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