Re: Questions on Plot

• To: mathgroup at smc.vnet.net
• Subject: [mg36771] Re: [mg36752] Questions on Plot
• From: Omega Consulting <omega_consulting at yahoo.com>
• Date: Tue, 24 Sep 2002 01:34:26 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```At 03:32 AM 9/22/2002, Steve Gray wrote:
>I would appreciate help with these problems:
>
>1. I'm plotting several thousand points, which I can do
>either with something like this (this is a test):
>
>w = Table[Point[{Random[], Random[]}], {i, 1, 4096}];
>x = Table[Point[{Random[], Random[]}], {i, 1, 4096}];
>y = Table[Point[{Random[], Random[]}], {i, 1, 4096}];
>z = Table[Point[{Random[], Random[]}], {i, 1, 4096}];
>dw = Graphics[{PointSize[0.01], RGBColor[ 1, 0, 0], w}];
>dx = Graphics[{PointSize[0.01], RGBColor[.8, .8, .8], x}];
>dy = Graphics[{PointSize[0.01], RGBColor[ 0, .5, .9], y}];
>dz = Graphics[{PointSize[0.01], RGBColor[.8, .8, 0], z}];
>Show[dw, dx, dy, dz, AspectRatio -> Automatic,
>    PlotRange -> {{0, 1}, {0, 1}},
>             Axes -> Automatic,
>             Frame -> True,
>    Background -> GrayLevel[.026],
>    GridLines -> Automatic];
>
>This gives me dots in 4 colors for distinguishing different
>kinds of points in my real application. This works fine but
>needs the Point structure. Or, I can do (this is for one
>kind of point),
>
>t = Table[{Random[], Random[]}, {i, 1, 1024}];
>ListPlot[t, AspectRatio -> Automatic,
>             Axes -> Automatic,
>             Frame -> True,
>    Background -> GrayLevel[.026]
>    ];
>
>which seems simpler and may fit into the rest of the program
>more easily.
>
>1. How do I get the RGBColor Rule or the equivalent into
>the latter? The RGBColor[] call is not a rule.
>
>2. In the latter case I also want to plot 4 types of points.
>How do I get ListPlot to put down 4 plots superimposed?
>Or can't I?
>
>3. In either case, I need to make the whole plot area about
>twice as big. That is, it now occupies about a 4" square. To
>see details better in my real plot, and because with 16k points
>the small plot just looks almost like a solid blur, I want to
>make it more like 8" square, or as big as will fit the screen
>(without changing the plot range or anything else). There
>must be a scale factor somewhere.
>
>Thank you for any information.

You can plot more than one list with MultipleListPlot.

<<Graphics`

If you don't like the default symbols used by MultipleListPlot, then you
can create your own.

ColorPoint[color_] := MakeSymbol[{color,Point[{0,0}]}]

Create the data.

w=Table[{Random[],Random[]},{i,1,1024}];
x=Table[{Random[],Random[]},{i,1,1024}];
y=Table[{Random[],Random[]},{i,1,1024}];
z= Table[{Random[],Random[]},{i,1,1024}];

And plot

MultipleListPlot[w,x,y,z,
AspectRatio->Automatic,Axes->Automatic,Frame->True,
SymbolShape->{ColorPoint[RGBColor[1,0,0]],
ColorPoint[RGBColor[.8, .8, .8]],ColorPoint[RGBColor[ 0, .5, .9]],
ColorPoint[RGBColor[.8, .8, 0]]},
SymbolStyle->PointSize[0.01],Background->GrayLevel[.026]
]

--------------------------------------------------------------
Omega Consulting
"The final answer to your Mathematica needs"

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http://www.wz.com/internet/Mathematica.html

```

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