Sunday, November 26, 2006

Mandelbrot deep zoom

Let's produce a very deep zoom of the Mandelbrot set, deep enough to require use of arbitrary precision arithmetic. How would one scale the colors? How many iterations should frames go? Should there be supersampling and antialiasing? How can the video be losslessly encoded efficiently? How can one keep the zoom aesthetically and artistically interesting? How can we avoid regions of extravagantly fine detail which will render to chaos at limited resolution? A human operator might be able to solve the previous two problems by trial and error, though an interactive system to produce deep zooms of the fractal will require considerably computational horsepower. Wouldn't it be nice to print it to IMAX and truly push the level detail that that film format can display?

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