Final: 3-Dimensional Fractals

Title: Fractals in the Third Dimension

Artist: Sam Ozenbaugh

Completion Date: 3/14/15

Place of Creation: Computer

Style: Fractal

Material: Mandelbulber

A few weeks ago I began experimenting with fractals in photoshop. I was extremely intrigued with the different shapes that could be created by using mathematical equations, repetitions of shapes, and infinite iterations of imaging. For this project I wanted to delve in more with the idea of fractals to see what I could create. I was inspired by the artist we talked about in lecture, Herbert Franke, and his work in computer art. I really enjoyed the works “Lichtformen” and “Raumformen,” and I wanted to create some similar artwork using a computing software. In the process I discovered the creation of 3-dimentional fractals; fractals that actually have a 3D perspective and can be held and rotated instead of a 2D flat image. The first fractal I created using Mandelbulber, shown below, somewhat resembled the work of Franke, except with color and more dimension. As I continued working I discovered something very interesting about the 3D fractals I was creating. When I zoomed in to the middle, they were actually made up of an inner complex that identically resembled the outside (seen in the third fractal). Also, when zooming in on some, the 3D space seemed to morph into a 2D, flat image, like the fractals we are used to seeing. It reminded me of the earth; when standing on the earth’s surface, it seems flat because we are so small, yet when you “zoom out” and view it from a telescope, the earth is actually a 3D sphere. This made me begin to wonder if all the other 2D fractals I’ve seen elsewhere are just scratching the surface of the whole image. Are the intense fractals we’ve seen in class just a part of a larger, more complex object? If I had more time, I would like to take some complex objects in nature, like leaves, bark, fur, insect wings, and examine them under a microscope to see how they resemble the whole object, as I’m sure some people have. Below are four of the many fractals I experimented with.

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