I began this endeavor by exploring the Mandelbrot set with Zlata over the MIT Spark weekend. In the wee hours of Sunday morning, the first grainy images of the Mandelbrot set came into view. Uplifted by this success, we toiled tirelessly to create a full color, zoomable, and downright awesome fractal generator.

One of the best renderings from our Mandelbrot generator.

View Demo

Adding color was one of the toughest challenges we encountered. The standard RGB color notation is great for most purposes, but it really does fall short for generating the spectrum. In order to more easily generate a smooth color spectrum, we switched the project to HSL color and were able to simply scale the “H” (hue) property with each point’s iteration count.

Another interesting problem which still exists as a “bug” in the demo applet above is the lower limit imposed by the floating point datatype. As you zoom in farther and farther, the coordinates shrink down to absurdly small and precise values. Eventually, the measly floating point becomes imprecise, and the display seems pixelated. An easy fix would be switching all datatypes to doubles or bignums, but that would just take too much effort. It works!

Next I tackled the Lorenz Attractor. One of many such “strange attractors” that visualize the changes in a dynamic system by plotting the system’s state in “system space.” In the case of the Lorenz Attractor, fluid convection is represented in 3-space by the following set of equations:
From hypertextbook.com:
dx/dt = σ(y − x)
dy/dt = ρx − y − xz
dz/dt = xy − βz
As stated above, “x” is the convective flow, “y” is the horizontal temperature distribution, and “z” is the vertical temperature distribution of the system. Curiously, the orbit of point (x,y,z) over time will not “settle down” or form a repetitious cycle given certain critical values for σ, ρ, and β. Instead, the orbit forms a magnificent, infinitely complex object known as a strange attractor.

The Lorenz Attractor

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I decided to lighten up my rather industrial looking brick wall with a splash of color. Literally. I’m not completely sure if my landlords will be happy with it, but paint isn’t that hard to scrape off!

I was recently exposed to the fascinating visual and auditory art of David Lynch. His 1990 film “Wild At Heart” struck a chord with me with it’s array of outcast characters and it’s foray into the darker and more insane side of human social behavior. I am making an effort to watch more of Lynch’s creations.

Harvey Citron wanted a Flashy new site to show off his amazing custom guitars and basses. Keeping with the “film strip” design of his previous site, I created a general swf file that loads images dynamically from a MYSQL database. This is the first dynamic Flash app I have ever made.

I wrote a nifty little administrative interface that allows Harvey to add instruments, delete them, and modify them. He can also change any other static looking page on the site. No framework was used, just raw PHP.

I have been maintaining my mother’s freelance web presence since 2002. The current iteration of her site(s) feature some statically loaded flash content and simple JavaScript rollovers.

• janetperr.com
• yiddishfordogs.com
• hiphopfordogs.com
• yiddishforbabies.com