Questions on Plot

• To: mathgroup at smc.vnet.net
• Subject: [mg36752] Questions on Plot
• From: "Steve Gray" <stevebg at adelphia.net>
• Date: Sun, 22 Sep 2002 04:32:40 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```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.

```

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