"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmail com> wrote:
>...
>
> I have now made a couple of rendering of this function with both the natural
> logarithm and the base 10 logarithm of the magnitude.
>
> It looks like your rendering was done with the base 10 logarithm. The attached
> rendering was done with the natural logarithm.
>
> It seems to me that using a logarithmic scale can sometimes reveal some extra
> information also in 3D.
Now my work with my POV-Ray library for complex functions has come a bit
further.
Here's an image where the domain colors for the function above are shown on a
plane. Here the lightness value for the colors are ramped up in intervals both
for the phase angle and the natural logarithm of the magnitude.
There are more images here for those that are interested:
https://github.com/t-o-k/POV-Ray-complex-functions
--
Tor Olav
http://subcube.com
https://github.com/t-o-k
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Download 'hueramps_magnramps.png' (493 KB)
Preview of image 'hueramps_magnramps.png'
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