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<rss version="2.0" xmlns:opensearch="http://a9.com/-/spec/opensearch/1.1/" xmlns:media="http://search.yahoo.com/mrss/"><channel><title>Komojo's Posters: Zazzle.com Gallery: Products </title><link>http://feed.zazzle.com/z.2/api/find.aspx?ft=rss&amp;ch=Komojo&amp;ou=/Komojo/rss</link><description></description><language>en-us</language><pubDate>Sat, 05 Dec 2009 16:53:58 GMT</pubDate><ttl>60</ttl><opensearch:totalResults>3</opensearch:totalResults><opensearch:startIndex>1</opensearch:startIndex><opensearch:itemsPerPage>15</opensearch:itemsPerPage><opensearch:Query role="request" searchTerms="" />
<item><guid isPermaLink="false">http://www.zazzle.com/1_000_000_cubes_poster-228036313597637011?gl=Komojo</guid><pubDate>Wed, 11 Aug 2004 23:47:31 GMT</pubDate><title><![CDATA[1,000,000 Cubes]]></title><link>http://www.zazzle.com/1_000_000_cubes_poster-228036313597637011?gl=Komojo</link><author>Komojo</author><description><![CDATA[
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		>1,000,000 Cubes</a><br />
		<span class="byLine">by <a href="javascript://" id="_assetCell1-contributorLink">Komojo</a><br /></span>
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			<br />
			
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</div>]]></description><media:title><![CDATA[1,000,000 Cubes]]></media:title><media:description><![CDATA[It's a 100x100x100 block of cubes made with Bryce.  I tried to make this as simple and minimalistic as possible, but it ended up taking me a long time to complete just because I had to mess around with Bryce for a long time to get the texture offsets of the big cube just right so that it's actually 1,000,000 cubes.

This is the third installment in my trilogy (or, should I say, tryptich) of posters.  To complete the whole series, you also need &quot;Chaos Theory&quot; and &quot;Swans and Spheres.&quot;]]></media:description><media:thumbnail url="http://rlv.zcache.com/1_000_000_cubes_poster-p228036313597637011tdar_125.jpg" /><media:content url="http://rlv.zcache.com/1_000_000_cubes_poster-p228036313597637011tdar_500.jpg" /><media:keywords>cubes, computer, generated, cool, komojo, 3d</media:keywords><media:rating scheme="urn:mpaa">g</media:rating></item>
<item><guid isPermaLink="false">http://www.zazzle.com/chaos_theory_poster-228498573994349172?gl=Komojo</guid><pubDate>Thu, 05 Aug 2004 04:54:02 GMT</pubDate><title><![CDATA[Chaos Theory]]></title><link>http://www.zazzle.com/chaos_theory_poster-228498573994349172?gl=Komojo</link><author>Komojo</author><description><![CDATA[
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		>Chaos Theory</a><br />
		<span class="byLine">by <a href="javascript://" id="_assetCell2-contributorLink">Komojo</a><br /></span>
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			<br />
			
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I made the program that generated this poster using C++.

The background is a Julia fractal.  (If you have fractal software and want to recreate this fractal, its coordinates in imaginary space are .383333 + .4125i ...)

The full image of the fractal has dimensions of 4000x2000 pixels.  But each pixel is rendered with &quot;subpixel resolution&quot; (for lack of a better term) anti-aliasing.  Essentially, for every pixel, instead of computing the color value for just that pixel, the software computes the values for smaller, finer values of the fractal in a 4x4 matrix and then colors the pixel based on the average color of the precomputed 4x4 matrix corresponding to that point.  In other words, it's the same as if I rendered the original image with a size of 16000x8000 and resized it to 25% of its original size taking an average value for each pixel.

The triangle things are 3D variations of a fractal called the sierpinski triangle.  (A quick search on the internet can bring up hundreds of pictures of the sierpinski set.)  The 3D variation is in the shape of a tetrahedron, but (in the case of this poster at least) the three-dimensional shape is rendered using the same algorithm as its two-dimensional counterpart.  The algorithm is called the &quot;Chaos Game&quot; algorithm, which can also be found with a quick Google search.

The fuzziness of the sierpinski fractals is due to the fact that the Chaos Game algorithm is an explicit formula, which means rather than being able to compute exactly the color value for each pixel (as I was able to do with the Julia fractal) the triangles must be drawn as a series of random dots.  (A better (i.e. implicit) algorithm for drawing this fractal might exist, but I didn't want to do a whole lot of research, I just wanted a cool poster.)

As far as I know, the poster doesn't have anything directly to do with chaos theory, but I like the name.]]></media:description><media:thumbnail url="http://rlv.zcache.com/chaos_theory_poster-p228498573994349172tdar_125.jpg" /><media:content url="http://rlv.zcache.com/chaos_theory_poster-p228498573994349172tdar_500.jpg" /><media:keywords></media:keywords><media:rating scheme="urn:mpaa">g</media:rating></item>
<item><guid isPermaLink="false">http://www.zazzle.com/swans_and_spheres_poster-228326774498972576?gl=Komojo</guid><pubDate>Thu, 05 Aug 2004 04:38:58 GMT</pubDate><title><![CDATA[Swans and Spheres]]></title><link>http://www.zazzle.com/swans_and_spheres_poster-228326774498972576?gl=Komojo</link><author>Komojo</author><description><![CDATA[
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			<br />
			
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