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	<title>Zach Archer Blog &#187; strange attractor</title>
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	<link>http://blog.zacharcher.com</link>
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		<title>Strange Attractors in Flash</title>
		<link>http://blog.zacharcher.com/2009/12/12/strange-attractors-in-flash/</link>
		<comments>http://blog.zacharcher.com/2009/12/12/strange-attractors-in-flash/#comments</comments>
		<pubDate>Sun, 13 Dec 2009 00:10:16 +0000</pubDate>
		<dc:creator>Zach</dc:creator>
				<category><![CDATA[Flash]]></category>
		<category><![CDATA[Graphics]]></category>
		<category><![CDATA[fractal]]></category>
		<category><![CDATA[strange attractor]]></category>

		<guid isPermaLink="false">http://blog.zacharcher.com/?p=184</guid>
		<description><![CDATA[Have you seen (or played) the demo for Polynomial, the space shooter? Quick! Watch the video: I spent a couple hours generating strange attractors in Flash, just a simple 2D version for now. Click to play: Click the black region to generate new polynomial coefficients and redraw. You will have to click many times to [...]]]></description>
			<content:encoded><![CDATA[<p>Have you seen (or played) the demo for <a href="http://dmytry.pandromeda.com/games/index.html">Polynomial</a>, the space shooter? Quick! Watch the video:</p>
<p><object width="560" height="340"><param name="movie" value="http://www.youtube.com/v/2Q6RaOgmanc&#038;hl=en_US&#038;fs=1&#038;"></param><param name="allowFullScreen" value="true"></param><param name="allowscriptaccess" value="always"></param><embed src="http://www.youtube.com/v/2Q6RaOgmanc&#038;hl=en_US&#038;fs=1&#038;" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="560" height="340"></embed></object></p>
<p>I spent a couple hours generating strange attractors in Flash, just a simple 2D version for now. Click to play:<br />
<a href="http://zacharcher.com/lab/20091212_strange_attractor/StrangeAttractor.html"><br />
<img src="http://zacharcher.com/lab/20091212_strange_attractor/attractor_image.png" alt="Here Be Strange Attractors" /></a></p>
<p>Click the black region to generate new polynomial coefficients and redraw. <strong>You will have to click many times to generate something interesting</strong>. That's the nature of fractals, I'm afraid. Some coefficients are automatically thrown out if the drawing exceeds a certain size. Unfortunately, the inverse is not true: the code isn't smart enough to trash any drawings that shrink to microscopic size.</p>
<p>I believe that you can stabilize any coefficients by scaling the values of each coefficient, gradually nudging them larger/smaller until the drawing is stable. I'll try this when I get more time. I've been gung-ho on my first proper iPhone app, trying to finish it before Christmas! Stay tuned...</p>
<p>Also, <a href="http://zacharcher.com/lab/20091212_strange_attractor/strange_attractor.zip">here's the source code for the strange attractor harness</a>! Enjoy.</p>
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