This got me thinking (a rare occurance and not without its dangers).
Our fractals are mostly based on the micro-interactions of the real
and imaginary components of a complex number.
Has anyone explored using very imaginary numbers (ie n^4 = -1) or
where a very complex number has the form ax + biy + cjz  (where j^4 = -1).
Or further extensions into any power of 2 = -1.
probably been done (hasn't it all) - but you never know........
too hot here for anything but such meandering musings.                                     
 
db
 
> -----Original Message-----
> From: Jim Muth [mailto:jamth@mindspring.com]
>
> Would fractals exist if there had been no intelligent beings in
> the universe to find them?  Would the potential for fractals
> exist if there had been no intelligent beings to invent numbers?
> And what of numbers?  Could they exist without having been inven-
> ted by a human type of intelligence?