Barnsley's Fern - Fractals


	Barnsley's Fern - Fractals

davboz

12-21-2007 4:09 AM

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12-21-2007 5:29 AM

merrie

Great site! Thanks davboz

12-24-2007 4:50 PM

dorine

Bookmarking to explore! Thanks for clipping, dav!

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color:#669999;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://www.clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/05dc8a7d-19ef-4729-a042-b4de6e94ad53/3ACBFEE2-ECBA-4058-8246-D149B6AB0A97/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://www.daviddarling.info/encyclopedia/B/Barnsleys_fern.html" href="http://www.daviddarling.info/encyclopedia/B/Barnsleys_fern.html" style="font-size: 11px;">www.daviddarling.info</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.daviddarling.info/encyclopedia/B/Barnsleys_fern.html"><FONT size="3" face="Arial, Helvetica, sans-serif" color="#ffffff"><BR /><DIV>
      <TABLE cellpadding="5" align="right"><TBODY><TR><TD><IMG width="220" height="321" alt="Barnsley's fern" src="http://www.daviddarling.info/encyclopedia/B/../../images/Barnsleys_fern.jpg" /></TD></TR></TBODY></TABLE>A <A href="http://www.daviddarling.info/encyclopedia/B/../F/fractal.html">fractal</A> shape, discovered by Michael F. Barnsley at the <A class="iAs" classname="iAs" href="#" target="_blank" itxtdid="4364289">Georgia Institute of Technology</A>, that has many geometric features in common with a natural fern, most notably the appearance of frond-like forms at different scales. As in the case of real ferns, Barnsley's fern reveals smaller prominences along the edge of each frond that are miniature versions of the overall figure. Along these small prominences are still smaller protuberances, and so on. Barnsley's fern is created by the repetitive application of four relatively simple mathematical rules and is a type of fractal, introduced by Barnsley, known as an <EM>iterated function system</EM> (IFS). </DIV>
      

<FONT size="4"><STRONG>Reference</STRONG></FONT>
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<FONT size="3" face="Arial, Helvetica, sans-serif" color="#ffffff">      <FONT size="2">
      <OL>
        <li style="margin-left:16px;padding-left: 0px;"> Barnsley, Michael. <EM>Fractals Everywhere</EM> 2nd edition. San Francisco: Morgan Kaufmann, 1993. </LI>
      </OL>
      </FONT> <BR /><DIV>
      <STRONG><FONT size="4">Related category</FONT></STRONG></DIV></FONT></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/3ACBFEE2-ECBA-4058-8246-D149B6AB0A97/blog/" title="blog or email this clip"><img src="http://content6.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>

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