Fractal Tree No. 4

"Fractal Tree No.4" is a black-and-white digital artwork constructed by graphically iterating an arrangement of a small portion of a photograph of a bush. The original photograph was digitally altered to allow smooth joining of the smaller copies. In addition to being scaled down, the three smaller copies added with each iteration are all rotated by varying angles. The spiral forms result from the repeated combination of shrinkage and rotation. A sufficiently large number of iterations is performed so that the image is indistinguishable from the image that would result after an infinite number of iterations. In this particular design, the iteration rules result in considerable overlap of the branches. One of the three smaller copies is lightened with each iteration, providing an illusion of depth in the overlap regions. The resolution of the print is quite high, resulting in rich and sharp detail even at a size of 28" x 34".

Click here for a high-resolution detail of the print.



Copyright 2007 Robert Fathauer
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