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	<title>FUNCTION &#187; Math</title>
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	<link>http://www.functionblog.com</link>
	<description>blog about AS3, PHP &#039;n tech</description>
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		<title>3D Graphing in flash</title>
		<link>http://www.functionblog.com/?p=95</link>
		<comments>http://www.functionblog.com/?p=95#comments</comments>
		<pubDate>Sun, 02 Nov 2008 17:06:25 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[3D]]></category>
		<category><![CDATA[AS3]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Proof of concepts]]></category>
		<category><![CDATA[3D engine]]></category>
		<category><![CDATA[Flash]]></category>

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		<description><![CDATA[Made a few quick mock ups for simple graphing programs using my 3D engine in Flash. Currently there is still a lot of room for improvement in speed, light angles and (invisible) shadows are being calculated which is unnecessary. Check out the applications in realtime at the read link;

The first graph is a one variable [...]]]></description>
			<content:encoded><![CDATA[<p>Made a few quick mock ups for simple graphing programs using my 3D engine in Flash. Currently there is still a lot of room for improvement in speed, light angles and (invisible) shadows are being calculated which is unnecessary. Check out the applications in realtime at the read link;</p>
<div class="wp-caption aligncenter" style="width: 510px"><img title="One dimensional graph in 3D" src="http://www.gamitude.nl/flash/graphing/1dgraph.jpg" alt="One dimensional graph in 3D" width="500" height="350" /><p class="wp-caption-text">One variable graph in 3D</p></div>
<div class="wp-caption aligncenter" style="width: 510px"><img title="Two dimensional graph in 3D" src="http://www.gamitude.nl/flash/graphing/2dgraph.jpg" alt="Two dimensional graph in 3D" width="500" height="350" /><p class="wp-caption-text">Two variable graph in 3D</p></div>
<p><span id="more-95"></span></p>
<p>The first graph is a one variable parameterized function, displaying the following formula;</p>
<p><img src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=x%20%3D%20t" alt="x parameter" align="left" /><br />
<img src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=y%20%3D%20%5Csin(t%5Cfrac%7B%5Cpi%7D%7B45%7D)" alt="y parameter" align="center" /> <img src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=z%20%3D%20%5Ccos(t%5Cfrac%7B%5Cpi%7D%7B45%7D)" alt="z parameter" align="right" /></p>
<p>The second graph is a two variable surface graph of a modified sinc function. Two realtime examples below, move your mouse over them to rotate around the graph.</p>
<p style="text-align: center;"><object classid="clsid:d27cdb6e-ae6d-11cf-96b8-444553540000" width="550" height="400" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0"><param name="id" value="test" /><param name="align" value="middle" /><param name="allowScriptAccess" value="sameDomain" /><param name="allowFullScreen" value="false" /><param name="quality" value="high" /><param name="bgcolor" value="#000000" /><param name="src" value="flash/graphing/1dgraph.swf" /><embed id="test" type="application/x-shockwave-flash" width="550" height="400" src="flash/graphing/1dgraph.swf" bgcolor="#000000" quality="high" allowfullscreen="false" allowscriptaccess="sameDomain" align="middle"></embed></object></p>
<p style="text-align: center;"><object classid="clsid:d27cdb6e-ae6d-11cf-96b8-444553540000" width="550" height="400" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0"><param name="id" value="test" /><param name="align" value="middle" /><param name="allowScriptAccess" value="sameDomain" /><param name="allowFullScreen" value="false" /><param name="quality" value="high" /><param name="bgcolor" value="#000000" /><param name="src" value="flash/graphing/2dgraph.swf" /><embed id="test" type="application/x-shockwave-flash" width="550" height="400" src="flash/graphing/2dgraph.swf" bgcolor="#000000" quality="high" allowfullscreen="false" allowscriptaccess="sameDomain" align="middle"></embed></object></p>
<p>Having multiple tabs open in your browser will significantly impact performance, so view in one tab before criticizing the frame rate! Once I get the dynamic text at points done there can be scales and titles for the axisses as well. And prepare for a few more very interesting demos soon&#8230;</p>
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