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<channel>
	<title>aThematics</title>
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	<link>http://www.athematics.com</link>
	<description></description>
	<lastBuildDate>Mon, 22 Feb 2010 03:22:17 +0000</lastBuildDate>
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		<title>Form Follows Sunlight</title>
		<link>http://www.athematics.com/2010/02/form-follows-sunlight/</link>
		<comments>http://www.athematics.com/2010/02/form-follows-sunlight/#comments</comments>
		<pubDate>Mon, 22 Feb 2010 03:22:17 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=353</guid>
		<description><![CDATA[This semester I&#8217;m TAing a studio with Stephen Cassell from ARO.  We&#8217;re focusing on getting the students to use Grasshopper to practice precision form-finding through the actualization of solar effects.  

Image by Yoon-Hee Cho.
It&#8217;s still early and the students are already producing really good work.  You can keep up with their work [...]]]></description>
			<content:encoded><![CDATA[<p>This semester I&#8217;m TAing a studio with Stephen Cassell from <a href="http://www.aro.net/">ARO</a>.  We&#8217;re focusing on getting the students to use <a href="http://www.grasshopper3d.com">Grasshopper</a> to practice precision form-finding through the actualization of solar effects.  </p>
<p><a href="http://www.athematics.com/wp-content/uploads/2010/02/panel-21.jpg"><img src="http://www.athematics.com/wp-content/uploads/2010/02/panel-21.jpg" alt="" title="Rendered Light Rays" width="600" height="382" class="alignnone size-full wp-image-355" /></a><br />
Image by Yoon-Hee Cho.</p>
<p>It&#8217;s still early and the students are already producing really good work.  You can keep up with their work at <a href="http://formfollowssunlight.wordpress.com/">FormFollowsSunlight</a>.</p>
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		<title>Only Tools</title>
		<link>http://www.athematics.com/2010/02/only-tools/</link>
		<comments>http://www.athematics.com/2010/02/only-tools/#comments</comments>
		<pubDate>Mon, 01 Feb 2010 19:44:33 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[computation]]></category>
		<category><![CDATA[design]]></category>
		<category><![CDATA[only tools]]></category>
		<category><![CDATA[rhino script]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=346</guid>
		<description><![CDATA[
Image by Varvara Toulkeridou.
The last two weeks I&#8217;ve been co-teaching a Rhino-Scripting class with Skylar Tibbits and Steffen Reichert to help introduce algorithmic design to some of the non-computation architects at MIT.  We&#8217;ve set up a blog with much of the students work here.
The students all produced really impressive work and I&#8217;m proud to [...]]]></description>
			<content:encoded><![CDATA[<p><img alt="by Varvara Toulkeridou" src="http://onlytoolsmit.files.wordpress.com/2010/01/8.jpg" title="Dynamic Spiraling" class="alignnone" width="600" height="450" /><br />
Image by Varvara Toulkeridou.</p>
<p>The last two weeks I&#8217;ve been co-teaching a Rhino-Scripting class with Skylar Tibbits and Steffen Reichert to help introduce algorithmic design to some of the non-computation architects at MIT.  We&#8217;ve set up a blog with much of the students work <a href="http://onlytoolsmit.wordpress.com/">here</a>.<br />
The students all produced really impressive work and I&#8217;m proud to have participated in this class.  Hopefully, I&#8217;ll carry the torch next year and head up the effort to expose the architectural community to some of the ideas that we work with in computation.</p>
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		<title>More on Parallelepiped Packing</title>
		<link>http://www.athematics.com/2010/01/more-on-parallelepiped-packing/</link>
		<comments>http://www.athematics.com/2010/01/more-on-parallelepiped-packing/#comments</comments>
		<pubDate>Thu, 21 Jan 2010 19:32:02 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=329</guid>
		<description><![CDATA[Working out how I want to instantiate the parallelepipeds.  I must say that I rather fancy the filleted option below:

So I&#8217;m beginning to think about casting them and laser-cutting some dummies to work on layout.  
]]></description>
			<content:encoded><![CDATA[<p>Working out how I want to instantiate the parallelepipeds.  I must say that I rather fancy the filleted option below:</p>
<p><a href="http://www.athematics.com/wp-content/uploads/2010/01/filleted-egdes.png"><img src="http://www.athematics.com/wp-content/uploads/2010/01/filleted-egdes.png" alt="" title="filleted egdes" width="600" height="450" class="alignnone size-full wp-image-328" /></a></p>
<p>So I&#8217;m beginning to think about casting them and laser-cutting some dummies to work on layout.  </p>
]]></content:encoded>
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		<item>
		<title>discrete / continuous</title>
		<link>http://www.athematics.com/2010/01/discrete-continuous/</link>
		<comments>http://www.athematics.com/2010/01/discrete-continuous/#comments</comments>
		<pubDate>Mon, 11 Jan 2010 04:46:57 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[My work]]></category>
		<category><![CDATA[extra long island]]></category>
		<category><![CDATA[geometry]]></category>
		<category><![CDATA[voronoi]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=323</guid>
		<description><![CDATA[Searching for geometrical techniques for a project that I&#8217;m doing with Mishka Alexander called Extra-Long Island.  This is, admittedly, a Voronoi diagram but in my defense, we&#8217;re making every effort to exercise control over the location of points and therefore the structure of the topology.  More to come on this. 
 
]]></description>
			<content:encoded><![CDATA[<p>Searching for geometrical techniques for a project that I&#8217;m doing with <a href="http://miscurban.com">Mishka Alexander</a> called Extra-Long Island.  This is, admittedly, a Voronoi diagram but in my defense, we&#8217;re making every effort to exercise control over the location of points and therefore the structure of the topology.  More to come on this. </p>
<p> <a href="http://www.athematics.com/wp-content/uploads/2010/01/jD-cover.jpg"><img src="http://www.athematics.com/wp-content/uploads/2010/01/jD-cover.jpg" alt="" title="jD-cover" width="600" height="500" class="alignnone size-full wp-image-324" /></a></p>
]]></content:encoded>
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		<item>
		<title>The Third and the Seventh</title>
		<link>http://www.athematics.com/2010/01/the-third-and-the-seventh/</link>
		<comments>http://www.athematics.com/2010/01/the-third-and-the-seventh/#comments</comments>
		<pubDate>Fri, 08 Jan 2010 20:34:35 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Web]]></category>
		<category><![CDATA[architecture]]></category>
		<category><![CDATA[surreal]]></category>
		<category><![CDATA[Video]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=312</guid>
		<description><![CDATA[via BLDG BLOG.
The third and the seventh is a visually amazing 13 minutes of architecture.  VERY hard to believe that it entirely computer generated.  I&#8217;ll leave the commentary to Geoff Manaugh.

]]></description>
			<content:encoded><![CDATA[<p>via <a href="http://www.bldgblog.blogspot.com">BLDG BLOG</a>.<br />
<a href="http://www.thirdseventh.com/">The third and the seventh</a> is a visually amazing 13 minutes of architecture.  VERY hard to believe that it <em>entirely computer generated</em>.  I&#8217;ll leave the commentary to Geoff Manaugh.</p>
<p><object width="601" height="338"><param name="allowfullscreen" value="true" /><param name="allowscriptaccess" value="always" /><param name="movie" value="http://vimeo.com/moogaloop.swf?clip_id=7809605&amp;server=vimeo.com&amp;show_title=0&amp;show_byline=0&amp;show_portrait=0&amp;color=00ADEF&amp;fullscreen=1" /><embed src="http://vimeo.com/moogaloop.swf?clip_id=7809605&amp;server=vimeo.com&amp;show_title=0&amp;show_byline=0&amp;show_portrait=0&amp;color=00ADEF&amp;fullscreen=1" type="application/x-shockwave-flash" allowfullscreen="true" allowscriptaccess="always" width="601" height="338"></embed></object></p>
]]></content:encoded>
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		<item>
		<title>&gt;3  : spatializing higher dimensions</title>
		<link>http://www.athematics.com/2009/12/3-spatializing-higher-dimensions/</link>
		<comments>http://www.athematics.com/2009/12/3-spatializing-higher-dimensions/#comments</comments>
		<pubDate>Wed, 23 Dec 2009 17:08:11 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=253</guid>
		<description><![CDATA[I&#8217;ve been spending most of my time on the back end of this project but I decided to poke my head out and generate some images.
I&#8217;m excited about some of the spacial and graphic possibilities here:

But I need to explore variety more aggressively.  Currently, I&#8217;m just taking the ball that I&#8217;m generating with math [...]]]></description>
			<content:encoded><![CDATA[<p>I&#8217;ve been spending most of my time on the back end of this project but I decided to poke my head out and generate some images.</p>
<p>I&#8217;m excited about some of the spacial and graphic possibilities here:<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/worms-eye-persp-01.png"><img src="http://www.athematics.com/wp-content/uploads/2009/12/worms-eye-persp-01.png" alt="worms-eye persp 01" title="worms-eye persp 01" width="600" height="450" class="alignnone size-full wp-image-259" /></a></p>
<p>But I need to explore variety more aggressively.  Currently, I&#8217;m just taking the ball that I&#8217;m generating with math and that&#8217;s it.<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/normal-view-01.png"><img src="http://www.athematics.com/wp-content/uploads/2009/12/normal-view-01.png" alt="normal view 01" title="normal view 01" width="600" height="450" class="alignnone size-full wp-image-258" /></a></p>
<p>But there are some tantalizing possibilities that I think I&#8217;ll be able to exploit&#8230;..after the holidays.<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/elevation.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/12/elevation.jpg" alt="elevation" title="elevation" width="600" height="531" class="alignnone size-full wp-image-257" /></a></p>
]]></content:encoded>
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		<item>
		<title>first images</title>
		<link>http://www.athematics.com/2009/12/first-images/</link>
		<comments>http://www.athematics.com/2009/12/first-images/#comments</comments>
		<pubDate>Thu, 10 Dec 2009 05:17:59 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[My work]]></category>
		<category><![CDATA[Apps]]></category>
		<category><![CDATA[computation]]></category>
		<category><![CDATA[graphics]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[n-dimensional]]></category>
		<category><![CDATA[projection]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=242</guid>
		<description><![CDATA[I&#8217;m very excited.  Finally, after a few months of grinding away at this java-based higher-dimensional projection system, I&#8217;ve got a few legitimate results to show off:
5 dimensions into 2:

I literally cropped these in MS Paint.  Seriously.
6 dims into 2 (in perspective so it looks faster)

and finally 6 dims into 3.  I promise [...]]]></description>
			<content:encoded><![CDATA[<p>I&#8217;m very excited.  Finally, after a few months of grinding away at this java-based higher-dimensional projection system, I&#8217;ve got a few legitimate results to show off:<br />
5 dimensions into 2:<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/untitled.JPG"><img src="http://www.athematics.com/wp-content/uploads/2009/12/untitled.JPG" alt="untitled" title="untitled" width="600" height="600" class="alignnone size-full wp-image-243" /></a></p>
<p>I literally cropped these in MS Paint.  Seriously.<br />
6 dims into 2 (in perspective so it looks faster)<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/untitled2.JPG"><img src="http://www.athematics.com/wp-content/uploads/2009/12/untitled2.JPG" alt="untitled2" title="untitled2" width="600" height="443" class="alignnone size-full wp-image-244" /></a></p>
<p>and finally 6 dims into 3.  I promise better graphics soon.<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/untitled3.JPG"><img src="http://www.athematics.com/wp-content/uploads/2009/12/untitled3.JPG" alt="untitled3" title="untitled3" width="600" height="538" class="alignnone size-full wp-image-246" /></a></p>
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		<item>
		<title>Sunday night nonlinear dynamics</title>
		<link>http://www.athematics.com/2009/12/sunday-night-nonlinear-dynamics/</link>
		<comments>http://www.athematics.com/2009/12/sunday-night-nonlinear-dynamics/#comments</comments>
		<pubDate>Mon, 07 Dec 2009 03:00:28 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[My work]]></category>
		<category><![CDATA[Science]]></category>
		<category><![CDATA[computation]]></category>
		<category><![CDATA[dynamics]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[nonlinearity]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=233</guid>
		<description><![CDATA[A few images from a project I&#8217;m working on modeling Atlantic tuna populations:
Gratuitous 3D representation of the anchovy, tuna and bluefish population under certain parameters.

The individual populations in time and vs each other.

A few long term behavior diagrams showing results of overfishing (if unclearly).

]]></description>
			<content:encoded><![CDATA[<p>A few images from a project I&#8217;m working on modeling Atlantic tuna populations:</p>
<p>Gratuitous 3D representation of the anchovy, tuna and bluefish population under certain parameters.<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/05-_-.5-.5-.51.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/12/05-_-.5-.5-.51.jpg" alt=".05 _ .5 .5 .5" title=".05 _ .5 .5 .5" width="600" height="450" class="alignnone size-full wp-image-235" /></a></p>
<p>The individual populations in time and vs each other.<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/05-_-.5-.5-.5.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/12/05-_-.5-.5-.5.jpg" alt="-05 _ .5 .5  .5" title="-05 _ .5 .5  .5" width="600" height="450" class="alignnone size-full wp-image-234" /></a></p>
<p>A few long term behavior diagrams showing results of overfishing (if unclearly).<br />
<a href="http://www.athematics.com/wp-content/uploads/2009/12/bif-diagram.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/12/bif-diagram.jpg" alt="bif diagram" title="bif diagram" width="600" height="450" class="alignnone size-full wp-image-236" /></a></p>
]]></content:encoded>
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		<item>
		<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>
]]></content:encoded>
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		<item>
		<title>Mandelbulbs</title>
		<link>http://www.athematics.com/2009/11/mandelbulbs/</link>
		<comments>http://www.athematics.com/2009/11/mandelbulbs/#comments</comments>
		<pubDate>Mon, 16 Nov 2009 21:30:52 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Web]]></category>
		<category><![CDATA[fractals]]></category>
		<category><![CDATA[graphics]]></category>
		<category><![CDATA[mandelbrot]]></category>
		<category><![CDATA[math]]></category>

		<guid isPermaLink="false">http://www.athematics.com/?p=216</guid>
		<description><![CDATA[via SEED
Some downright awesome renderings of the &#8220;Mandelbulb&#8221; or 3D Mandelbrot Set.
As hard as I try to resist my predilection for all things fractal, these are really great and I have to respect the effort to work out the not-so-intuitive math behind them.  

and

The original article here.
]]></description>
			<content:encoded><![CDATA[<p>via <a href="http://seedmagazine.com">SEED</a><br />
Some downright awesome renderings of the &#8220;Mandelbulb&#8221; or 3D <a href="http://en.wikipedia.org/wiki/Mandelbrot_set">Mandelbrot Set</a>.<br />
As hard as I try to resist my predilection for all things fractal, these are really great and I have to respect the effort to work out the not-so-intuitive math behind them.  </p>
<p><a href="http://www.athematics.com/wp-content/uploads/2009/11/61581.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/11/61581.jpg" alt="Mandel bulb" title="Mandel bulb" width="600" height="600" class="size-full wp-image-215" /></a></p>
<p>and</p>
<p><a href="http://www.athematics.com/wp-content/uploads/2009/11/61584.jpg"><img src="http://www.athematics.com/wp-content/uploads/2009/11/61584.jpg" alt="Mandelbrot Gateau" title="Mandelbrot Gateau" width="600" height="600" class="alignnone size-full wp-image-217" /></a></p>
<p>The original article <a href="http://www.skytopia.com/project/fractal/mandelbulb.html#renders">here</a>.</p>
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