Talk:Color wheel graphs of complex functions
|WikiProject Mathematics||(Rated Stub-class, Low-priority)|
Should definitely be merged with domain coloring. Couldn't find anything reputable on the claim that Larry Crone (AKA Crone, Lawrence J. (?)) invented it in 1987. He's got some papers on MathSciNet but nothing to support this 1987 claim. MikeRumex (talk) 22:03, 26 May 2012 (UTC)
- support merge: not notable enough, nor a sufficiently big topic to stand on its own. I've never seen this type of plot used outside of WP. --catslash (talk) 00:31, 6 December 2012 (UTC)
Seven years later, the two articles still are fundamentally the same, except for the examples of color functions (see also my note below) and function images. It is therefore time to finally perform the merge. I will add hatnotes to both articles to alert other editors. — Sebastian 13:33, 18 December 2017 (UTC)
((I used to be a Vandal but I'm not anymore ^^)) Hey there, this article is RELEVANT. I'll remove the template, because it is CLEARLY NOTABLE. I believe the template placer is a VANDAL. ChaoDer01 (talk) —Preceding undated comment added 09:44, 30 March 2012 (UTC).
0 is black, infinity is white, red is positive
The article says there are two common conventions:
- ) the origin is white, 1 is red, -1 is cyan, and a point at the infinity is black,
- ) the origin is black, −1 is red, 1 is cyan, and a point at the infinity is white.
However neither is the most common. The most common is:
- ) the origin is black, 1 is red, -1 is cyan, and a point at the infinity is white.
Even Wikipedia's own articles that use color wheel graphs of complex function, e.g. the articles on gamma function or riemann zeta function, use that third convention. So... should it be fixed? 18.104.22.168 (talk) 23:16, 12 April 2014 (UTC)
- At least at Wikipedia, the OP seems to be right that the third convention is the most common, if one judges by a quick glance at commons:Category:Complex_color_plots. (The best documented ones, such as File:Complex_polylog0.jpg, define their color function, a practice I would hope to see more often.) Globally, the picture is less clear, as a Google image search for "domain coloring" shows. In particular, lightness is seldom a steady function of magnitude, as suggested by the selection of the examples. Since the second example does not exhibit the existing variations in definitions, I will remove it. It would be far more instructive to replace it with a significantly different color function, such as the one used in Domain coloring#Visual encoding of complex numbers. — Sebastian 13:17, 18 December 2017 (UTC)