#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):
My two cents, regarding making multi-color curves the default...
Perhaps, "Mathematica and Maple do it," is not a convincing enough
argument for most (though I think it is), but what about, "because that's
what a novice user needs"? Anyhow, this was the impetus for creating
#12962, as I was not getting what I expected. I certainly wouldn't expect
my (pre-)calculus student to figure out dictionaries and plot-addition to
help them distinguish one function from the next.
Regarding B&W readability, yes, this could be a problem with
`rainbow()`... and I notice that Mathematica chooses very dark shades for
their default colors. However, there is an additional problem with
`rainbow()`: sometimes your second function would be plotted with cyan,
sometimes your fourth function would be (depending on how many are
plotted, in total). For a novice trying to learn the different behavior of
assorted functions, this hardly seems like a good idea.
Regarding alternatives to `rainbow()`, I really like the golden-ratio idea
(and it solves my 'additional problem' above). We should start from 'blue'
as this is Sage's preferred plot color. Try:
{{{
h = golden_ratio_conjugate = 0.618033988749895
graphics_array([circle((.2,.2),.5,facecolor=Color((.666666+i*h)%1,1,.45,space='hsl'),fill=True,edgecolor='white')
for i in range(10)]).show(axes=False,figsize=7)
}}}
and notice that the first ten entries are identical to those here:
{{{
h = golden_ratio_conjugate = 0.618033988749895
graphics_array([circle((.2,.2),.5,facecolor=Color((.666666+i*h)%1,1,.45,
space='hsl'),fill=True,edgecolor='white') for i in
range(15)]).show(axes=False,figsize=10)
}}}
I've implemented the following function in #12962, in case anybody wants
to pull that branch and have a look.
{{{
def rainbow_color(i):
# note: 'blue' has hue-saturation-lightness values (2/3, 1, 1/2).
h = golden_ratio_conjugate = 0.618033988749895
return Color((0.666666666666+i*h) % 1, 1, 0.4, space='hsl')
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/8164#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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