Matt McCutchen's Web SiteInversion Animation  (Top, Download, Readme, Bottom).  Email me about this page.

Inversion Animation

I wrote a small MATLAB program that animates geometric inversion of the plane, bringing arbitrary polar-parametric curves along.  If you have MATLAB, try it out!

Download

DescriptionFileSizeModification time
Inversion animation packageinversion-animation.tar.bz220132006-01-15 02:38:48 +0000
Inversion animation packageinversion-animation.zip30002006-01-15 02:39:30 +0000

Readme

MATT MCCUTCHEN'S INVERSION ANIMATION
====================================

To use this software:

1. Launch MATLAB and put the folder with the four included .m files on your MATLAB path.

2. At the command prompt, type:
        inversionAnimationDemo
to see the demo: inversion of a line and a circle.

3. If you want to invert your own curves, type:
        help inversionAnimation
for information on how to use the underlying ``inversionAnimation'' routine.
For example, this command inverts a parabola with a focus at the origin, giving a cardioid:
        inversionAnimation(3, (0:pi/12:2*pi)', {inline('[1./(1+cos(t)),t]','t')})
A little MATLAB experience helps here.

4. If you want to invert a tic-tac-toe board, type:
        invertATicTacToeBoard
You can also invert it with Xs and Os on it by supplying a 3x3 matrix of 1s
(X), -1s (O), and 0s (blank).  Play inverted tic-tac-toe; it's fun!

Matt McCutchen's Web SiteInversion Animation  (Top, Download, Readme, Bottom).  Email me about this page.
Modification time of this page's main source file: 2009-05-06 04:14:10 +0000
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