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Bahman Kalantari

Rutgers University
New York, USA
kalantari@cs.rutgers.edu
Summer
21" x 21"

Artist Statement: Polynomiography I have defined to be ``the art and science of visualization in approximation of zeros of complex polynomials, via fractal and non-fractal images created using the mathematical convergence properties of iteration functions.'' An individual image is called a ``polynomiograph.'' Working with polynomiography software is comparable to working with a camera or a musical instrument. Through practice one can learn to produce the most exquisite and complex patterns. These designs, at their best, are analogous to the most sophisticated human designs. The intricate patterning of Islamic art, the composition of Oriental carpets, or the elegant design of French fabrics come to mind as very similar to the symmetrical, repetitive, and orderly graphic images produced through polynomiography. But polynomiographic designs can also be irregular, asymmetric, and non-recurring, suggesting parallels with the work of artists associated with Abstract Expressionism and Minimalism. Polynomiography could be used in classrooms for the teaching of art or mathematics, from children to college level students, as well as in both professional and non-professional situations. Its creative possibilities could enhance the professional art curriculum.

The ``polynomiographer'' can create an infinite variety of designs. made possible by employing an infinite variety of iteration functions. The polynomiographer then may go through the same kind of decision making as the photographer: changing scale, isolating parts of the image, enlarging or reducing, adjusting values and color until the polynomiograph is resolved into a visually satisfying entity. Like a photographer, a polynomiographer can learn to create images that are esthetically beautiful and individual, with or without the knowledge of mathematics or art. Like an artist and a painter, a polynomiographer can be creative in coloration and composition of images. Like a camera, or a painting brush, a polynomiography software can be made simple enough that even a child could learn to operate.

The image here called, ``Summer'' was produced using a polynomiography software.