Two and Three-Dimensional Art Inspired by Polynomiography

Aus de_evolutionary_art_org
Wechseln zu: Navigation, Suche


Bahman Kalantari: Two and Three-Dimensional Art Inspired by Polynomiography. In: Bridges 2005. Pages 321–328



In several previous articles I have described polynomiography as the art and science of visualization in approximation of zeros of complex polynomials. Polynomiography amounts to a colorful two-dimensional image, called a polynomiograph, created via a prototype polynomiography software that could typically allow a great deal of human creativity and control. In this article I describe several types of 2D and 3D artwork that could be inspired by polynomiography. These include work of art as paintings, tapestry designs, carpet designs, animations, sculptures, neon light-like polynomiographs, and more. The realization of some of these applications as serious work of art takes coordinated effort, collaborations, and support. I will report on progress in the realization of some of the above-mentioned artwork.

Extended Abstract


Used References

[1] C.P. Bruter, Mathematics and Art: Mathematical Visualization in Art and Education, Springer- Verlag, 2002.

[2] M. Emmer, The Visual Mind: Art and Mathematics, MIT Press, 1993.

[3] B. Kalantari, Polynomiography: The art and mathematics in visualization of polynomials, in Proceedings of ISAMA (International Society of Art, Mathematics, and Architecture), 2002.

[4] B. Kalantari, Can Polynomiography be Useful in Computational Geometry?, DIMACS Workshop on Computational Geometry, New Brunswick, NJ, November, 2002. (http//

[5] B. Kalantari, Polynomiography and Applications in Art, Education, and Science, in Proceedings of SIGGRAPH 2003 on Education.

[6] B. Kalantari, Summer, artwork and its description in Electronic Art and Animation Catalog, pp. 87, SIGGRAPH 2003.

[7] B. Kalantari, The Art in Polynomiography of Special Polynomials, in Proceedings of ISAMA/BRIDGES Conference, pp. 173-180, 2003.

[8] B. Kalantari , Polynomiography and application in art, education, and science, Computers & Graphics, 28, pp. 417-430. 2004.

[9] B. Kalantari, A new medium for visual art: Polynomiography, Computer Graphics Quarterly, 38, pp. 22-24. 2004.

[10] B. Kalantari, I. Kalantari, F. Andreev, Animation of mathematical concepts using polynomiography, Proceedings of SIGGRAPH 2004 on Education.

[11] B. Kalantari, Polynomiography in art and design, Mathematics & Design, Vol. 4, pp. 305-311. 2004. Proceedings of Fourth International Conference of Mathematics & Design.

[12] B. Kalantari, Polynomiography: From the Fundamental Theorem of Algebra to Art, to appear in LEONARDO, Volume 38. 2005.

[13] I. Peterson, Fragments of Infinity, A Kaleidoscope of Math and Art , Wiley, 2001.


Full Text

intern file

Sonstige Links