       • To: mathgroup at smc.vnet.net
• Subject: [mg16997] ParametricPlot help please
• From: Rob Peterson <robpeterson at iname.com>
• Date: Sat, 10 Apr 1999 02:13:33 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```Some time ago several kind souls on this ng helped me do some conformal
transformation plots (this one is part of the curves describing the fields
in a parallel plate capacitor).  We used a series of ParametricPlots.  Now
I would like to understand how this worked - maybe I can learn something
about Mathematica.  I think I get the use of Map[] but I am stuck on the use of
ParametricPlot[#1,.....].  I have looked high and low and I do not find any
mention of the #1 parameter.  If I ever get thru this, I'll start trying to

Here's the code.  Any help/suggestions appreciated.

By the way, I got about 5 good suggestions on how to do these plots. Some
were faster, some more understandable, but all had more characters than the
code below:

(* part of conformal transformation for parallel plate capacitor *)
x[u_,v_]:=(u+1+Exp[u] Cos[v])/\[Pi];
y[u_,v_]:=(v+ Exp[u] Sin[v])/\[Pi];

{a,b,c,d,e,f} =
Map[ParametricPlot[#1, {u,-Pi,Pi},AspectRatio->Automatic,
DisplayFunction->Identity]&,
{x[u,v],y[u,v]}/.

Show[{a,b,c,d,e,f}, DisplayFunction->\$DisplayFunction]

Thanks, Rob

robpeterson at iname.com
<http://www.flash.net/~eterson>

```

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