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Description Hue-luminance plot of exp(1/z), centered on the essential singularity at zero.
Source Own work
Author Functor Salad

Visible domain: .

The hue represents the complex argument;


The luminance represents the absolute value. After some experimentation, I chose the following luminance mapping:

This yields a value between -pi/2 and +pi/2, which was then affinely transformed into the required [0,1] range. I chose a slowly-growing function in order to avoid the hue getting drowned by black and white too much.

The resulting color map looks like this:

Visible domain: [-5,5] × [-5,5]


GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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Date/TimeThumbnailDimensionsUserComment
current12:32, 20 April 2017Thumbnail for version as of 12:32, 20 April 20172,000 × 2,000 (951 KB)TypometerReverted to version as of 18:52, 4 September 2007 (UTC)
06:00, 20 April 2017Thumbnail for version as of 06:00, 20 April 20172,000 × 2,000 (835 KB)SteinsplitterBotBot: Image rotated by 90°
18:52, 4 September 2007Thumbnail for version as of 18:52, 4 September 20072,000 × 2,000 (951 KB)Functor Salad{{Information |Description=Hue-luminance plot of exp(1/z), centered on the essential singularity at zero. |Source=self-made |Date= |Author= Functor Salad }} Visible domain: <math>[-0.7,0.7]\times[-0.7,0.7]</math> The hue represents

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