#8164: automatic rainbow coloring of multiple plot lines
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       Reporter:  jason        |        Owner:  was
           Type:  enhancement  |       Status:  new
       Priority:  major        |    Milestone:  sage-6.4
      Component:  graphics     |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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Comment (by alauve):

 The website
 [http://stanford.edu/~mwaskom/software/seaborn/tutorial/color_palettes.html
 seaborn] suggests we use a "qualitative" color palette, so the
 [http://martin.ankerl.com/2009/12/09/how-to-create-random-colors-
 programmatically/ Preiss/Ankerl] idea of using the ''golden ratio'' is
 fine. (I actually prefer it to what seaborn does, as the latter would
 result in the first plot in a list of seven being colored differently than
 the first plot in a list of six.)

 Do we have access to seaborn in Sage? Its attempt to adjust for human
 perception of hue seems like a good idea. It draws "hue polygons" as a
 function of brightness, then intersects a given hue's ray with the polygon
 ([http://www.husl-colors.org/ HUSL]). (If not, one could port over
 Boronine's [https://github.com/husl-colors/husl-python python code], on
 which seaborn is based.)

 '''Proposed algorithm:'''
 {{{
 step 1: pick a hue using golden_ratio()
 step 2: adjust hue using husl()
 }}}

 Note that brightness-level isn't mentioned in the algorithm. We should
 agree on a level to use, independent of hue. If I understand Boronine's
 discussion (and [http://www.husl-colors.org/ HSL sliders demo]) correctly,
 there is only one hue-polygon that contains the color 'blue' (brightness =
 32.3).
  * We might choose brightness = 32.3, to respect Sage's default plot
 color. However, the hues along the boundary of the polygon are quite a bit
 darker than I'd like to see, e.g., "960000" for red, "005900" for green,
 and "005555" for cyan.
  * Setting brightness = 40.0 gives a pretty good approximation to 'blue'
 ("3b3bff") with more vibrant colors along the boundary of the polygon,
 e.g., "c00000" for red, "006e00" for green, and "006a6a" for cyan.

--
Ticket URL: <http://trac.sagemath.org/ticket/8164#comment:16>
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