Module Document - Menger_sponge

<table cellspacing="0" cellpadding="0"> <tr height="150"> <td align="left"><img src="../../../../img/logo.gif" alt="IAC logo"></img></td> <td width="100%" rowspan="2" align="left" valign="center"> <table cellspacing="0" cellpadding="0"> <tr> <td> <a name="Menger_sponge"> <table width="84%" border="0" align="center"> <tr bgcolor="FFFFAA" align="center"> <td nowrap width="15%" height="32"> <tt class="label">1710</tt></td> <td nowrap width="100%"> <tt class="label">Menger_sponge</tt></td> <td nowrap width="150"><tt class="label">09/30/93</tt></td> </tr> <tr><td align="left" colspan="3"><p>Menger sponge produces a Menger Sponge (Sierpinski Sponge) as a byte volume. A Menger Sponge (sometimes known as a Sierpinski Sponge) is a recursively defined volume. It is the 3D analog to a Sierpinski Carpet which is can be poorly defined as a recursive 3x3 grid where the center square of each level of the recursion is missing. A more formal definition can be found in Benoit Mandelbrot's book "The Fractal Geometry of Nature" on page 144. You can see a Sierpinski Carpet if you orthoslice the sponge and look at slice 0 (any direction). CURDLE (at the IAC) is another example of a module which produces recursively defined "fractal" data sets.</p></td></tr> <tr><td align="left" colspan="3"><table class="avs5_repository"> <tr valign="top"><td><b>Author:</b></td><td>Larry Gelberg, Advanced Visual Systems</td></tr> <tr><td><b>Version:</b></td><td>1.000</td></tr> <tr><td><b>Language:</b></td><td>C</td></tr> <tr> <td><b>Path:</b></td><td>source/data_input/Menger_sponge/</td></tr> </table></td></tr> <tr><td align="left" colspan="3"><p> <a href="Menger_spong.shtml" target="_top"> <img src="../../../../../img/doc_mod.gif" border="0" width="30" height="30" alt="Module Document - Menger_sponge"></a> <a href="source/data_input/Menger_sponge/Menger_sponge.tar.gz"> <img src="../../../../../img/targz.gif" border="0" width="52" height="30" alt="Archive - Menger_sponge.tar.gz"></a> <a href="source/data_input/Menger_sponge/Menger_sponge.tar.Z"> <img src="../../../../../img/tarz.gif" border="0" width="52" height="30" alt="Archive - Menger_sponge.tar.Z"></a> <a href="source/data_input/Menger_sponge/Menger_sponge.zip"> <img src="../../../../../img/zip.gif" border="0" width="52" height="30" alt="Archive - Menger_sponge.zip"></a> </p></td> </tr> </table> <br> </td> </tr> <tr> <td>  <html> <head> <title> Menger sponge - produce a Menger Sponge (Sierpinski Sponge) as a byte volume </title> </head> <body bgcolor=#FFFFCC> <h2> Menger sponge - produce a Menger Sponge (Sierpinski Sponge) as a byte volume </h2> <h3>Name</h3> <blockquote> <pre> Menger sponge - produce a Menger Sponge (Sierpinski Sponge) as a byte volume </pre> </blockquote> <h3>Author</h3> <blockquote> <pre> Larry Gelberg, Advanced Visual Systems Inc. (larryg@avs.com) </pre> </blockquote> <h3>Summary</h3> <blockquote> <pre> Name Menger sponge Type Input Inputs NONE Outputs output - field 3D 3-space 1-vector uniform byte Parameters Name Type Default Choices flip toggle off off on levels islider 1 1 5 </pre> </blockquote> <h3>Description</h3> <blockquote> <pre> A Menger Sponge (sometimes known as a Sierpinski Sponge) is a recursively defined volume. It is the 3D analog to a Sierpinski Carpet which is can be poorly defined as a recursive 3x3 grid where the center square of each level of the recursion is missing. A more formal definition can be found in Benoit Mandelbrot's book "The Fractal Geometry of Nature" on page 144. You can see a Sierpinski Carpet if you orthoslice the sponge and look at slice 0 (any direction). </pre> </blockquote> <h3>Parameters</h3> <blockquote> <pre> flip (toggle) - this says whether to color the "on" voxels 0 or 255. levels (islider) - this defines the levels of recursion. 1 is a 3x3x3 cube (27 nodes) 2 is a 9x9x9 cube (729 nodes) 3 is a 27x27x27 cube (19,683 nodes) 4 is a 81x81x81 cube (531,441 nodes) 5 is a 243x243x243 cube (14,348,907 nodes and takes a while to compute!) </pre> </blockquote> <h3>Outputs</h3> <blockquote> <pre> output - field 3D 3-space 1-vector uniform byte This can be rendered with tracer, or orthosliced </pre> </blockquote> <h3>Example networks</h3> <blockquote> <pre> This is stored as menger.net in this directory. Menger sponge | compute shade | tracer | display tracker </pre> </blockquote> <h3>Related modules</h3> <blockquote> <pre> CURDLE (at the IAC) is another example of a module which produces recursively defined "fractal" data sets. </pre> </blockquote> </body> </html>  </td> </tr> </table> </td> </tr> <tr height="100%"> <td class="sideLink" width="25%" align="left" valign="top" nowrap="nowrap"> <p><a href="../../../../../general/index.shtml" target="_top">General Information</a></p> <p><a href="../../../../../repository/index.shtml" target="_top">Repositories</a></p> <p class="sideLinkLevel2"><a href="../../../../new/index.shtml" target="_top">  New Releases</a></p> <p class="sideLinkLevel2"><a href="../../../../download/index.shtml" target="_top">  Download</a></p> <p class="sideLinkLevel2"><a href="../../../../submit/index.shtml" target="_top">  Submit</a></p> <p class="sideLinkLevel2"><a href="../../../../pfiles/index.shtml" target="_top">  Project Files</a></p> <p class="sideLinkLevel2"><a href="../../../../avs5/index.shtml" target="_top">  AVS5</a></p> <p class="sideLinkLevel3"><a href="../../../input.shtml" target="_top">    Data Input</a></p> <p class="sideLinkLevel3"><a href="../../../filters.shtml" target="_top">    Filters</a></p> <p class="sideLinkLevel3"><a href="../../../mappers.shtml" target="_top">    Mappers</a></p> <p class="sideLinkLevel3"><a href="../../../output.shtml" target="_top">    Data Output</a></p> <p class="sideLinkLevel3"><a href="../../../misc.shtml" target="_top">    Miscellaneous</a></p> <p class="sideLinkLevel2"><a href="../../../../express/index.shtml" target="_top">  AVS/Express</a></p> <p class="sideLinkLevel2"><a href="../../../../pog/index.shtml" target="_top">  Project Guidelines</a></p> <p><a href="../../../../../usergroup/index.shtml" target="_top">User Group</a></p> <p><a href="../../../../../training/index.shtml" target="_top">Training Materials</a></p> </td> </tr> </table> <table width="100%" border="0" cellspacing="0" cellpadding="0" bgcolor="c6c6e0"> <tr> <td><img src="../../../../../img/foot1.gif" alt="IAC" width="155" height="25"></td> <td width="100%"> Last Updated:  26th November 2002 </td> </tr> </table>