Links

Markov Chains

• Wikipedia entry on Markov chains -- look, it has a graph just like mine in class!
• Markov chain video -- kind of boring but with good info
  
  fractals:
• javascript fractal microscope -- kind of slow, but well-rendered look at the Mandelbrot set
• javascript source code for generating the Mandelbrot set -- if you really want to get into this stuff...
• another js fractal microscope -- faster, image size is selectable
• yet another js fractal microscope -- faster and you can set the number of iterations used to compute the point trajectory. This is the one I showed in class.
• older class -- with good explanation of the 'fractal delay'
  
  L-systems:
• L-systems examples -- good selection of different types
• another L-systems example -- ability to animate the construction
• Applications of Generative String Substitution Systems in Computer Music -- Luke DuBois' L-systems dissertation page (with music and videos)
• The Algorithmic Beauty of Plants -- on-line version of the original book about L-systems written by Aristid Lindenmayer. Lots of other links here, too.
• Musical L-Systems -- another L-systems diss (Stelios Manousakis), interesting info
  
  Music
• Profiles -- Charles Dodge's fractal piece
• Nick Didkovsky's MandelMusic app -- an amazing app, sonifying the trajectory of points as they get computed to determine if they are inside or outside the Mandelbrot set.
• Chaotic Squares -- by Michael Gogins (check out his soundcloud page for more examples of Michael's work)
• Vanishing Trajectories -- L-systems music from Akira Takaoka with laser video from Keiichi Tanaka. (Akira's explanation of the L-system he used for the piece is here
• musical examples of L-systems -- on Luke DuBois' dissertation page

Class Downloads

• g6610-fall2024-week4-maxmsp-patches.zip -- the patches we showed in class.