Polynomiography

ANIMATION ON YouTube

The Rise of Polynomials: A polynomiograph of z3 - 1 coming to life through 3D animation (and music).

RECENT EVENTS

Math Camp Girls Plus Math Camp at Western Illinois University, July 2008.

Lecture A Polynomiography Lecture was held at MuseumsQuartier Vienna on Thursday May 8, 2008
Math.Space

Conference 57th Annual
Western Illinois University
Mathematics Teachers Conference
Friday, March 28, 2008

Learn more about this year's conference.

Teacher Workshop A Teacher Workshop was hosted at Zimmerli Art Museum on December 7, 2007.

Get more information here.

Exhibition A Polynomiography Exhibition was displayed at the Rutgers Art Library on October 19 through November 20, 2007.

Invitation card [pdf] and poster [pdf] promoting the exhibition.

Girls Plus Math Camp at Western Illinois University, June 2007.

Educator's Workshop A unique workshop for middle and high school educators was held at Rutgers University on May 15th, 2007.

See this brochure (1.68 MB PDF) for full details.

NEWS

Site Updates! In addition to the current revisions, this site will continue to be revised with more artwork, news, and software coming soon.

New Book Announcement: "Polynomial Root-Finding and Polynomiography" by Bahman Kalantari. Coming Fall 2008.

Article: Polynomiography is featured in the April 2007 edition of Muy Intersante. Spain's popular science magazine.

Cover: A polynomiograph featured on the February 2007 cover of the Finnish science magazine Tiede.

Cover: Kalantari's Polynomiography on the cover of Princeton University Press Mathematics Catalog [pdf]

Cover: Kalantari's Polynomiography on the cover of Princeton University Press book Fearless Symmetry: Exposing the Hidden Patterns of Numbers.

Exhibit: Kalantari's Polynomiography artwork part of traveling art-math exhibit in France and Greece.

About Polynomiography

polynomiograph

Polynomiography software allows the creation of beautiful images by inputting numbers into a software.

Formally, polynomiography is the art and science of visualization in approximation of zeros of polynomials. This visualization is via fractal and non-fractal images created based on the mathematical convergence properties of iteration functions.

I have invented the name "polynomiography" as a combination of the word "polynomial" (a mathematical function defined as a linear combination of integral powers of a variable), and the suffix "graphy".

Informally, polynomiography stands for a certain graph of polynomials, but not in the usual sense of graphing, say a quadratic polynomial.

An individual image is defined to be a "polynomiograph".

The purpose of these pages is to display a small sample of the many images that I have created using a software for polynomiography. The underlying mathematical theory behind polynomiography is addressed in a PDF file. The interested reader may return to this web site from time to time for future announcements about polynomiography as well as information on exhibitions of images from my collection.

Bahman Kalantari (Sept. 19, 2000)
Department of Computer Science
Rutgers University
New Brunswick, NJ 08903