#14533: Add strands with different colors in BraidGroup plot
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Reporter: mathzeta2 | Owner: joyner
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.10
Component: group theory | Keywords: braid group, plot
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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Currently, when plotting a braid, all the strands are in the same color.
For `plot3d()`, even choosing a different color is unavailable.
The attached patch adds the ability to give each strand a different color.
This is done for `plot()` and `plot3d()`.
Few notes:
* I changed the default coloring scheme, so instead of blue strands, the
braids are in different colors.
* The color option can be one of: single color, which is backwards-
compatible; "rainbow", the default; A list or a tuple of colors.
* Some of the plot options are "global" for the entire plot (e.g. aspect
ratio and axes), but some should be "local" for a specific strand (e.g.
color, thickness or alpha). Maybe there should be another ticket for this,
as I just needed different colored strands.
* When testing if the `color` is a list or a tuple I used the idiom
`isinstance(color, (list, tuple))` which is of prevalent use in Sage.
Should we use `isinstance(color, collections.Sequence)` instead, with the
downside that we need to check `isinstance(color, types.StringTypes)`
first?
Two examples:
{{{
B6.<a,b,c,d,e> = BraidGroup(6)
z = a^-1*b*c^3*e^-2*a*b^2*a^-3*d^5*c*a*b*c*d*e^2*d^-1*c^-1*b^-1*a^-1
bp1 = z.plot(orientation="left-right")
}}}
[[Image()]]
{{{
from sage.plot import colors
B3.<f,g> = BraidGroup(3)
z2 = g^-1*f^2
bp2 = z2.plot(orientation="top-bottom",
thickness=4,
color=[colors.red.lighter(), colors.red, colors.red.darker()])
}}}
[[Image()]]
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14533>
Sage <http://www.sagemath.org>
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