Bahman Kalantari: Summer

  • ©2003, Bahman Kalantari





Creation Year:



    21 in x 21 in


Artist Statement:

    This image was produced with polynomiography, which I have defined as: “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 teaching art or mathematics at every level, from elementary school to university, 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 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, polynomiography software can be made simple enough that even a child can learn to operate it.


All Works by the Artist(s) in This Archive: