[Coco] High precision math, fractals, and Mandelbrot

[Robert Gault]

Not too long ago there was a thread on the need for narrow range high 
precision floating point numbers. I mentioned one use for such 
capability, the Mandelbrot set, which left many readers wondering to 
what I was referring.

Well here is a low res image of the numbers in the complex number plane 
clustered around 0,0. The image is from a Basic09 program on a low res 
vdg screen (PMODE equivalent). When the window is shrunk and looks at 
areas along the edge of the figure, the patterns get more and more 
complex. The floating point numbers on the Coco can expand the pattern 
just so far before lack of precision limits the process.


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