#14533: Add strands with different colors in BraidGroup plot
-------------------------------------+--------------------------------------
Reporter: mathzeta2 | Owner: joyner
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-5.10
Component: group theory | Resolution:
Keywords: braid group, plot | Work issues:
Report Upstream: N/A | Reviewers: Frédéric Chapoton
Authors: | Merged in:
Dependencies: | Stopgaps:
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Description changed by chapoton:
Old description:
> 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(ticket:14533:colored_braid.png)]]
> {{{
> 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(ticket:14533:red_braid.png)]]
>
> Apply:
> * [Attachment:trac_14533_braid.patch]
> * [Attachment:trac_14533_braid-review-fc.patch]
New description:
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(ticket:14533:colored_braid.png)]]
{{{
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(ticket:14533:red_braid.png)]]
Apply:
* [attachment:trac_14533_braid.patch]
* [attachment:trac_14533_braid-review-fc.patch]
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14533#comment:4>
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