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Summer
21" x 21"
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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.
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