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Complex numbers can be so pretty....
complex.jpg shows e^(10/z)
complex2.jpg shows (z^2-i)/(2z^2+2i) using brightness to indicate
magnitude.
--
~Mike
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Attachments:
Download 'complex.jpg' (56 KB)
Download 'complex2.jpg' (43 KB)
Preview of image 'complex.jpg'
Preview of image 'complex2.jpg'
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On 9/2/2010 7:42 AM, Mike Raiford wrote:
> Complex numbers can be so pretty....
>
> complex.jpg shows e^(10/z)
> complex2.jpg shows (z^2-i)/(2z^2+2i) using brightness to indicate
> magnitude.
Very nice! I assume that you wrote the visualization program yourself?
If so, are you planning on implementing more ways of visualizing
complex functions?
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And lo On Thu, 02 Sep 2010 15:42:50 +0100, Mike Raiford
<"m[raiford]!at"@gmail.com> did spake thusly:
> Complex numbers can be so pretty....
>
> complex.jpg shows e^(10/z)
So that's how they did the old Doctor Who intro graphics :-)
--
Phil Cook
--
I once tried to be apathetic, but I just couldn't be bothered
http://flipc.blogspot.com
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>> complex.jpg shows e^(10/z)
>
> So that's how they did the old Doctor Who intro graphics :-)
No, that's more like this...
http://www.youtube.com/watch?v=58_s6r7PaKo
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On 9/4/2010 11:34 AM, Kevin Wampler wrote:
> Very nice! I assume that you wrote the visualization program yourself?
> If so, are you planning on implementing more ways of visualizing complex
> functions?
Thanks :)
I might look into it in the future. But for the moment, this mode serves
my purposes. There are so many ways to view the complex plane, though.
I'd love to write one up that will take the magnitudes and generate a
mesh of them to show a nice 3D view of the results. But, that would
require me to learn how to generate a surface from the function. :D
--
~Mike
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