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MathGroup Archive 1996

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new Package: Transform2DPlot.m

  • To: mathgroup at smc.vnet.net
  • Subject: [mg4649] new Package: Transform2DPlot.m
  • From: Xah Lee <xah at best.com>
  • Date: Thu, 22 Aug 1996 03:55:04 -0400
  • Organization: Best Internet Communications
  • Sender: owner-wri-mathgroup at wolfram.com

For those who use Mathematica for leisure, I've wrote a new package 
Transform2DPlot.m.

This package exports the function Transform2DPlot. Transform2DPlot plots 
the image of the plane
(represented by rectangular grid) under a transformation function 
f:R^2->R^2 or f:C^1->C^1. The
transformed grids are colored according to the distance from their 
original position. For example, 

Transform2DPlot[ {{Cos[.5],-Sin[.5]},{Sin[.5],Cos[.5]}}.{x,y}, {x,-3,3}, 
{y,-3,3}];
Transform2DPlot[ 1/Conjugate[x+y I], {x,-2,2},{y,-2, 2}];

Plot a linear transformation rotation and a conformal map respectively. 

For your need to play, check it out at
http://www.best.com/~xah/SpecialPlaneCurves_dir/MmaPackages_dir/mmaPacka
ges.html

 Xah
 xah at best.com; 74631.731 at compuserve.com
 http://www.best.com/~xah/PageTwo_dir/more.html
 Mountain View, CA, USA
 Quote of the day:
 An eye for an eye, let the world go blind. --Mike Epstein

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