Art with a Mathematical Twist

Euler points out a story about art created through mathematics. The Science News article covers selections from a recent exhibit, where over 40 artists gathered to show their work and the math behind it. The rest of the pieces are also viewable at the exhibit's website. "Michael Field, a mathematics professor at the University of Houston, finds artistic inspiration in his work on dynamical systems. A mathematical dynamical system is just any rule that determines how a point moves around a plane. Field uses an equation that takes any point on a piece of paper and moves it to a different spot. Field repeats this process over and over again--around 5 billion times--and keeps track of how often each pixel-sized spot in the plane gets landed on. The more often a pixel gets hit, the deeper the shade Field colors it."

Comments

Some great examples of mathematical art

[paroneayea]

If you're interested in pretty, shiny, mathematical things that you can run on Linux, check out:
  - electricsheep: animated fractal flames: http://www.electricsheep.org/ (I highly recommend running this as your screensaver, though it takes a bit for the first sheep to download)
  - Jenn: pretty, shiny, blue(?) polytopes, rendered on your computer: http://www.math.cmu.edu/~fho/jenn/

Anyone have any others?

Context Free

[replicant108]

Context Free is a program that generates images from written instructions called a grammar. The program follows the instructions in a few seconds to create images that can contain millions of shapes. The program itself is GPLed and available here.

As you can see from the link below, some of the results from this project are stunning.

Context Free Art gallery.