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http://vimeo.com/6797740?hd=1
--
Darren New, San Diego CA, USA (PST)
I ordered stamps from Zazzle that read "Place Stamp Here".
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Darren New wrote:
> http://vimeo.com/6797740?hd=1
>
Has anyone ever used a Julia fractal for anything other than these
trippy videos?
...Chambers
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Chambers wrote:
> Has anyone ever used a Julia fractal for anything other than these
> trippy videos?
I would guess there's at least one mathematical result of importance about
them, or we'd not be hearing about them so much.
--
Darren New, San Diego CA, USA (PST)
I ordered stamps from Zazzle that read "Place Stamp Here".
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>> Has anyone ever used a Julia fractal for anything other than these
>> trippy videos?
>
> I would guess there's at least one mathematical result of importance
> about them, or we'd not be hearing about them so much.
Result #1: Simple dynamical systems can give rise to unpredictable
behaviour. (The system has to be non-linear though, even if only
slightly. A perfectly linear system does nothing interesting.)
Result #2: Every basin of attraction contains at least one critical
point of the map. (Only guaranteed for rational maps though.)
Result #3: The Julia set is the boundary of all basins of attraction
simultaneously. (Even if there are three attractors, every point of the
Julia set touches all three basins simultaneously - despite this being
obviously impossible.)
I could go on...
I have no idea whether these results have any particular *practical*
usage. But Julia sets do occasionally pop up when people aren't trying
to do anything related to computer graphics. (Ferromagnatic phase
renormalisation transforms, anyone?)
--
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*
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Darren New schrieb:
> http://vimeo.com/6797740?hd=1
Hey! That's on-topic, and therefore off-topic here...! ;-)
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"clipka" <ano### [at] anonymous org> wrote in message
news:4ac1d34c$1@news.povray.org...
> Darren New schrieb:
>> http://vimeo.com/6797740?hd=1
>
> Hey! That's on-topic, and therefore off-topic here...! ;-)
Careful... Someone reading this might be a computer/life form from the Star
Trek universe. Logic like that makes their heads explode.
With sparks, even.
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Captain Jack schrieb:
>> Hey! That's on-topic, and therefore off-topic here...! ;-)
>
> Careful... Someone reading this might be a computer/life form from the Star
> Trek universe. Logic like that makes their heads explode.
... or, worse yet, makes them raise a single eyebrow? :-)
LLAP
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"clipka" <ano### [at] anonymousorg> wrote in message
news:4ac239d1@news.povray.org...
> Captain Jack schrieb:
> ... or, worse yet, makes them raise a single eyebrow? :-)
>
> LLAP
Fascinating... 8)
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On Tue, 29 Sep 2009 11:28:35 +0200, clipka <ano### [at] anonymousorg> wrote:
>Darren New schrieb:
>> http://vimeo.com/6797740?hd=1
>
>Hey! That's on-topic, and therefore off-topic here...! ;-)
But if it is off topic here then here is the perfect place for it. I would think
;)
--
Regards
Stephen
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Chambers <Ben### [at] gmailcom> wrote:
> Has anyone ever used a Julia fractal for anything other than these
> trippy videos?
I don't know if the Julia fractal in particular has been used, but some
fractals have been used as counter-examples for some mathematical
conjectures, proving them wrong.
--
- Warp
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