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   <title>Professor Arek Goetz's Homepage  Page at San Francisco State
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<center><b><font size=+3>Stability of cells in piecewise isometries and
piecewise affine maps.</font></b></center>

<p><br>
<br>
<p><b><font size=+0>The movies included here illustrate theorems in piecewise rotations and piecewise affine maps.</font></b>
<p><b><font size=+0>Although not required, these animations are best
viewed if you have installed
a quicktime movie viewer (available for free from <a
href="http://www.apple.com/quicktime/download/">Apple</a>). Unless you
have a high-end machine and fast internet connection, please download
smaller versions of the movies.</font></b>
<br>&nbsp;
<br>&nbsp;

<p><B>WARNING: The animations may cause severe eye strain. In order to
reduce, you may try to watch it half-size, advance frames manually.</B>
<ul>
<b><font size=+0><a href="thesis.avi">Piecewise rotation on the
torus (a few MB).</a></font></b><b><font size=+0></font></b>
<p><b><font size=+0><a href="affine.avi">Piecewise affine maps (a few MB)</a>.</font></b><p>
<b><font size=+0><a href="thesisL.avi">Piecewise rotation on the
torus. Huge file (30MB)</a>.</font></b><b><font size=+0></font></b>
<p><b><font size=+0><a href="affineL.avi">Piecewise affine maps. Huge
file (30MB)</a>.</font></b>
<br><b><font size=+0></font></b>&nbsp;
<br><b><font size=+0></font></b>&nbsp;
<br><b><font size=+0></font></b>&nbsp;<b><font size=+0></font></b>
<p><b><font size=+0>Arek Goetz</font></b>
<br><b><font size=+0>goetz@sfsu.edu</font></b>
<br><b><font size=+0>February 2000.</font></b></ul>

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