[Coco] printing out floating point numbers...(only peripherally related to coco)

[jdaggett at gate.net]

Robert

Someth9ing jgged the memory when y ou mentioned Fractals. I 
stayed away from that like the plague as I found it interesting but  
had  no real use for them. 

I just wondered if a psuedo Cordic Rotator might do some of the 
math a bit easier? The precsion is limited by the number of 
iterations and the precison of  tables for the various functions. 

Neat things one can do with Cordic Math. 

james

On 13 Jul 2006 at 21:02, Robert Gault wrote:

> jdaggett at gate.net wrote:
> ><snip>
> > I  have no knowledge of Mandlebrot printing. >
> <snip>
> 
> Mandlebrot is a mathematician who's moment of fame was using a computer 
> to draw a graphic representation of a special set of numbers. There was 
> an article in Scientific American that presented the graphical 
> techniques used and it seemed that every home computer was attempting to 
> generate these patterns.
> 
> The set is fractal in nature which means no matter how small a slice of 
> the set is taken, it can't be distinguished from any other part of the 
> set or the entire set.
> 
> It has been quite some time since I've played with this and will have to 
> search for my programs if there is any interest. However, the Mandelbrot 
> set in the complex number plane is generated by the recursive formula
> x -> x^2 + c . The graphic is made by calculating the value of the 
> function over a window in the complex number plane and setting colors 
> based on the results. The window of value is -2.25<realC<0.75,
> -1.5<imagC<1.5.
> 
> On a Coco (whether Disk Basic, Basic-09, or C) one rapidly runs out of 
> the required precision to zoom in on subsets of the function.
> 
> If there is any interest in this subject, I can post three book 
> references (heavy math) where fractals and the Mandelbrot set in 
> particular are discussed.
> 
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