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	<title>aThematics &#187; space</title>
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		<title>Project ion</title>
		<link>http://www.athematics.com/2009/12/project-ion/</link>
		<comments>http://www.athematics.com/2009/12/project-ion/#comments</comments>
		<pubDate>Tue, 01 Dec 2009 23:28:01 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[My work]]></category>
		<category><![CDATA[computation]]></category>
		<category><![CDATA[hypercube]]></category>
		<category><![CDATA[n-dimensional]]></category>
		<category><![CDATA[project ion]]></category>
		<category><![CDATA[space]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=224</guid>
		<description><![CDATA[I am working on a long term project investigating higher dimensional space and how it can be understood in architectural/spatial terms. The eventual goals for the project include instructive and generative tools for designers as well as a pedagogical agenda towards a better understanding of Cartesian space in architecture. The diagrams below demonstrate a particular [...]]]></description>
			<content:encoded><![CDATA[<p>I am working on a long term project investigating higher dimensional space and how it can be understood in architectural/spatial terms.  The eventual goals for the project include instructive and generative tools for designers as well as a pedagogical agenda towards a better understanding of Cartesian space in architecture.<br />
The diagrams below demonstrate a particular form of projecting three dimensions into one and I&#8217;m working already on the next which will be projecting 3 dimensions into 2.  </p>
<p>First, we establish a projection window and some geometry to project:<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/3d-1d-diagrams-1.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/12/3d-1d-diagrams-1.jpg" alt="3d-1d diagrams 1" title="3d-1d diagrams 1" width="600" height="450" class="alignnone size-full wp-image-222" /></a></p>
<p>Then, we capture anything that&#8217;s in the window and project it.<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/3d-1d-diagrams-2.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/12/3d-1d-diagrams-2.jpg" alt="3d-1d diagrams 2" title="3d-1d diagrams 2" width="600" height="450" class="alignnone size-full wp-image-222" /></a></p>
<p>Eventually, I hope to be able to make clear explanations about what it means to project 4, 5, etc dimensions into 2, 3 or more.  </p>
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