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Re: Overlaid parametric plots are too faint

• To: mathgroup at smc.vnet.net
• Subject: [mg123685] Re: Overlaid parametric plots are too faint
• From: Heike Gramberg <heike.gramberg at gmail.com>
• Date: Thu, 15 Dec 2011 04:56:24 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201112141100.GAA10153@smc.vnet.net>

The plot looks washed out because by default, ParametricPlot plots 
graphs with an opacity of about .2. Try setting  PlotStyle->{Opacity[1], 
Hue[=85.]}. The reason the first graph is brightly coloured is because 
you're plotting 12 copies of the same (semi-tranparent) sector on top of 
each other.

By the way, you could also use Disk to plot the sectors, e.g.

Graphics[Table[{Hue[k/12, 1, 1],
   Disk[{0, 0}, 1, k 30 Degree + {-15 Degree, 15 Degree}]}, {k, 0,
   11}], Frame -> True]

Heike

On 14 Dec 2011, at 12:00, Chris Young wrote:

> I'm trying to get a fast, sharp plot of a disk divided into color
> sectors, to be used to illustrate complex mappings. Based on some
> experimenting, it seems to me that doing lots of parametric plots is
> sharper and faster than using mesh functions and color functions. The
> only problem is, each time the whole disk seems to get overlaid onto
> the plots that are already there, causing the sectors to get very faint.
>
> Here's a brightly colored single sector:
>
> Show[
> Table[
>  ParametricPlot[
>   {
>    Through[{Re, Im}[u Exp[(- 15 =B0 + 30 =B0 v ) I]]]
>    },
>   {u, 0, 1}, {v, 0, 1},
>
>   Mesh -> None,
>   BoundaryStyle -> None,
>   PlotStyle -> Red
>   ],
>  {k, 0, 11}
>  ],
> PlotRange -> 1.1
> ]
>
>
> And here's how they fade out when they're overlaid:
>
> Show[
> Table[
>  ParametricPlot[
>   {
>    Through[{Re, Im}[u Exp[(- 15 \[Degree] + (k + v) 30 \[Degree]) I]]]
>    },
>   {u, 0, 1}, {v, 0, 1},
>
>   Mesh -> None,
>   MeshStyle -> None,
>   BoundaryStyle -> None,
>   MeshShading -> None,
>   PlotStyle -> Hue[k/12, 1, 1]
>   ],
>  {k, 0, 11}
>  ],
> PlotRange -> 1.1
> ]
>
>

• References:
  • Overlaid parametric plots are too faint
    • From: Chris Young <cy56@comcast.net>