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May 15, 2013 at 9:59 comment added Joris Timmermans @Dukeling - I've edited my answer to include your remark about why reusing the same color may be bad.
May 15, 2013 at 9:54 history edited Joris Timmermans CC BY-SA 3.0
Added HSL diagram, and integrated some changes based on Dukeling's comments.
May 15, 2013 at 5:53 comment added Joris Timmermans @Dukeling - you misunderstand my point. At some point, no matter how carefully you choose, if you need many different colors you will start having colors that look similar (e.g. the purples in the first image in the question). At that point a naïve but simple implementation like I suggested may put those colors close together, making it hard to see what's going on. That's when you can use graph coloring to ensure that you are using distant colors for "close" lines on the graph.
May 14, 2013 at 16:54 comment added Bernhard Barker Regardless of whether or not there is intersection, you do not want the same colours representing different things on a single graph (if this is what you imply), there's too much room for confusion and you may not be able to figure out which is which, so graph colouring is unrelated. In case you didn't notice, each line only has a single colour and consists of a sequence of connected points.
May 14, 2013 at 14:35 history edited Joris Timmermans CC BY-SA 3.0
Explained a bit why RGB is probably not the ideal choice, more examples for the color distance.
May 14, 2013 at 14:02 history answered Joris Timmermans CC BY-SA 3.0