On Tue, Aug 12, 2008 at 05:30:24PM +0200, Bruno Marchal wrote:
> 
> 
> On 09 Aug 2008, at 09:44, Tom Caylor wrote:
> 
> > I believe that nature is not primarily functional. It is primarily
> > beautiful.
> > And this from a theist?  Yes!  This is actually to the core point of
> > why I am a theist.  I don't blame people for not believing in God if
> > they think God is about functionality.
> 
> 
> If you remember my conjecture that the Mandelbrot Set, (well, its  
> complement in the complex plane), is Turing complete (that is  
> equivalent in some sense to a universal dovetailing), then zooming in  
> it gives a picture of the arithmetical multiverse or of the universal  
> deployment.

This seems related to Langton's "edge of chaos" idea. Sounds plausible.

> And I do find most of them wonderfully beautiful. Here is  
> my favorite on youtube:
> 
> http://www.youtube.com/watch?v=G0nmVUU_7IQ
> 
> Is that not wonderful? Awesome ?
> 
> Bruno
> 

Fantastic. I used the Mandelbrot set as a example for my high
performance computing students. Most of them wouldn't be up to doing
the zooming thing though, but it would be a great example if they did.

-- 

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A/Prof Russell Standish                  Phone 0425 253119 (mobile)
Mathematics                              
UNSW SYDNEY 2052                         [EMAIL PROTECTED]
Australia                                http://www.hpcoders.com.au
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