Re: OT: Fractal: was Re: Champagne Elegance

Thanks for the info Gerry and hats off to Aunty Pear for the cool
fractal.

Christopher Darlington
In warm sunny Lafontaine Quebec

Gerry Snyder wrote:
> 
> Aunty Pear wrote:
> >
> > Hello, Christopher.
> >
> > I am sending one fractal to have a look at.
> 
> Beautiful, A.P.
> 
> A brief explanation. "Normal" geometic objects look like what they are
> at just one scale. Zoom out on a circle and it's just a dot. Zoom in
> properly and it is a circle. Zoom in farther and it just looks like a
> straight line.
> 
> Many real things look about the same at different zoom factors. A map of
> the west coast of the USA has a certain roughness. A map of the
> California coast has a similar roughness. So does one of Los Angeles
> County. The puffiness of clouds is similar at different scales. In a
> (dicot) tree, the branches off the trunk have similar geometries to the
> smallest twigs on the branches. Etc.
> 
> In short, many natural objects we see all the time are not
> well-represented by circles and squares. Objects with similar roughness
> over a range of scales look more real with a much smaller number of
> parameters.
> 
> The name comes from these constructs having (somehow) a fractional
> number of dimensions. WAY off topic for here.
> 
> And don't get me started on the Mandelbrot set.
> 
> Gerry
> --
> g*@mediaone.net
> Gerry Snyder, AIS Symposium Chair, Region 15 RVP
> Member San Fernando Valley, Southern California Iris Societies
> in warm, winterless Los Angeles--USDA 9b-ish, Sunset 18-19
> my work: helping generate data for: http://galileo.jpl.nasa.gov/
> 
> 
> 
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