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	<title>The Art of Nathan Selikoff &#187; Faces of Chaos</title>
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	<link>http://nathanselikoff.com</link>
	<description>Just another Creative Outsiders weblog</description>
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		<title>Faces of Chaos Category Description</title>
		<link>http://nathanselikoff.com/317/faces-of-chaos/faces-of-chaos-category-description</link>
		<comments>http://nathanselikoff.com/317/faces-of-chaos/faces-of-chaos-category-description#comments</comments>
		<pubDate>Sun, 04 Apr 2010 01:05:39 +0000</pubDate>
		<dc:creator>nathan</dc:creator>
				<category><![CDATA[Category Description]]></category>
		<category><![CDATA[Faces of Chaos]]></category>

		<guid isPermaLink="false">http://nathan.creativeoutsiders.com/?p=317</guid>
		<description><![CDATA[After working with the equations in my series for a few years, I began to wonder if there was a way to capture the nature of the system, visually. In other words, what is going on here at a higher dimension, at the &#8220;meta&#8221; level? These questions birthed the Faces of Chaos series, which visualize the system using a unique mapping of the Lyapunov exponent to the image plane. At a more subconscious level, the images and titles I chose [<a href="http://nathanselikoff.com/317/faces-of-chaos/faces-of-chaos-category-description">Read More...</a>]]]></description>
			<content:encoded><![CDATA[<p>After working with the equations in my <a href="http://nathanselikoff.com/category/strange-attractors"><em>Strange Attractors</em></a> series for a few years, I began to wonder if there was a way to capture the nature of the system, visually. In other words, what is going on here at a higher dimension, at the &#8220;meta&#8221; level? These questions birthed the <em>Faces of Chaos</em> series, which visualize the system using a unique mapping of the Lyapunov exponent to the image plane. At a more subconscious level, the images and titles I chose from the myriad of possibilities evoke an almost mythological aura, with <a href="http://en.wikipedia.org/wiki/Archetype">archetypes</a> such as &#8220;king&#8221; and &#8220;warrior&#8221; emerging from the chaos.</p>
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		<title>Owl King</title>
		<link>http://nathanselikoff.com/209/faces-of-chaos/owl-king</link>
		<comments>http://nathanselikoff.com/209/faces-of-chaos/owl-king#comments</comments>
		<pubDate>Sun, 28 Mar 2010 00:59:53 +0000</pubDate>
		<dc:creator>nathan</dc:creator>
				<category><![CDATA[Faces of Chaos]]></category>

		<guid isPermaLink="false">http://nathan.creativeoutsiders.com/?p=209</guid>
		<description><![CDATA[One of the thousands of images generated during development of the Faces of Chaos series, chosen for its subtle detail and evocative overall form. What do you see? An owl, spider, space ship... something else?]]></description>
			<content:encoded><![CDATA[<div id="attachment_210" class="wp-caption alignnone" style="width: 610px"><a href="http://nathanselikoff.com/files/2010/03/owlking_med.jpg"><img class="size-large wp-image-210" title="Owl King" src="http://nathanselikoff.com/files/2010/03/owlking_med-600x600.jpg" alt="Owl King by Nathan Selikoff" width="600" height="600" /></a><p class="wp-caption-text">Owl King by Nathan Selikoff. 2007. Dimensions variable. Open edition print.</p></div>
<p>What do you see? An owl, spider, space ship&#8230; something else? There is an incredible partnership between solid form and fine filigree-like structure in this artwork.</p>
<div id="attachment_387" class="wp-caption alignnone" style="width: 610px"><a href="http://nathanselikoff.com/files/2010/03/owl-king-detail.jpg"><img class="size-full wp-image-387" title="Owl King (detail) by Nathan Selikoff." src="http://nathanselikoff.com/files/2010/03/owl-king-detail.jpg" alt="Owl King (detail) by Nathan Selikoff." width="600" height="600" /></a><p class="wp-caption-text">Owl King (detail) by Nathan Selikoff.</p></div>
<h2>Mathematical Background</h2>
<p>This artwork is a two-dimensional  plot of the Lyapunov exponent of a chaotic dynamical system. The  Lyapunov exponent is a measure of how chaotic the system is, and in this  case, the system is a strange attractor with a four-dimensional phase  space. Two of the dimensions are static, and the other two vary in the x  and y directions of the image. A custom program renders four 16-bit  grayscale images, which represent the different &#8220;components&#8221; of the  spectrum of Lyapunov exponents. These images are combined in Photoshop  using a pseudo-color technique to bring out subtle coloration in the  final artwork.</p>
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		<title>Death Mask 1 &amp; 2</title>
		<link>http://nathanselikoff.com/203/faces-of-chaos/death-masks</link>
		<comments>http://nathanselikoff.com/203/faces-of-chaos/death-masks#comments</comments>
		<pubDate>Sun, 28 Mar 2010 00:58:03 +0000</pubDate>
		<dc:creator>nathan</dc:creator>
				<category><![CDATA[Faces of Chaos]]></category>

		<guid isPermaLink="false">http://nathan.creativeoutsiders.com/?p=203</guid>
		<description><![CDATA[Two artworks created from thousands of individual &#8220;faces&#8221; during my exploration of Lyapunov space. With gaping, leering mouths and fractured skull-like forms, these images evoke tribal customs surrounding death or spiritual forces.]]></description>
			<content:encoded><![CDATA[<p>Two artworks created from thousands of individual &#8220;faces&#8221; during my exploration of Lyapunov space. With gaping, leering mouths and fractured skull-like forms, these images evoke tribal customs surrounding death or spiritual forces.</p>
<div id="attachment_204" class="wp-caption alignnone" style="width: 610px"><a href="http://nathanselikoff.com/files/2010/03/deathmask1_med.jpg"><img class="size-large wp-image-204" title="Death Mask 1" src="http://nathanselikoff.com/files/2010/03/deathmask1_med-600x600.jpg" alt="Death Mask 1 by Nathan Selikoff" width="600" height="600" /></a><p class="wp-caption-text">Death Mask 1 by Nathan Selikoff. 2007. Dimensions variable. Open edition print.</p></div>
<div id="attachment_207" class="wp-caption alignnone" style="width: 610px"><a href="http://nathanselikoff.com/files/2010/03/deathmask2_med.jpg"><img class="size-large wp-image-207" title="Death Mask 2" src="http://nathanselikoff.com/files/2010/03/deathmask2_med-600x600.jpg" alt="Death Mask 2 by Nathan Selikoff" width="600" height="600" /></a><p class="wp-caption-text">Death Mask 2 by Nathan Selikoff. 2007. Dimensions variable. Open edition print.</p></div>
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		<title>Chinese Warrior</title>
		<link>http://nathanselikoff.com/32/faces-of-chaos/chinese-warrior</link>
		<comments>http://nathanselikoff.com/32/faces-of-chaos/chinese-warrior#comments</comments>
		<pubDate>Wed, 17 Mar 2010 03:09:22 +0000</pubDate>
		<dc:creator>nathan</dc:creator>
				<category><![CDATA[Faces of Chaos]]></category>

		<guid isPermaLink="false">http://nathan.creativeoutsiders.com/?p=32</guid>
		<description><![CDATA[The "smiling face of a Chinese warrior" above his broad-shouldered armor, or a mustachioed warrior with a fanciful hat? Another artwork from my exploration of "Lyapunov space."]]></description>
			<content:encoded><![CDATA[<p>A quote from <a href="http://rhizome.org/editorial/7"><em>Strangely Attractive</em> by Lisa Delgado</a> on Rhizome.org, regarding my <em>Faces of Chaos</em> series:</p>
<blockquote><p>Mythology meets chaos theory in  Nathan Selikoff&#8217;s <em>Faces of Chaos</em> series. A leering death mask and the smiling face of a Chinese warrior  are just a couple of the forms the artist discovered while sorting  through hundreds of images he created using the <a href="http://en.wikipedia.org/wiki/Lyapunov_exponent">Lyapunov exponent</a>,  a commonly used measure of how chaotic or predictable a <a href="http://en.wikipedia.org/wiki/Dynamical_system">dynamical system</a> is.</p></blockquote>
<div id="attachment_33" class="wp-caption alignnone" style="width: 610px"><a href="http://nathanselikoff.com/files/2010/03/warrior_med.jpg"><img class="size-full wp-image-33   " title="Chinese Warrior" src="http://nathanselikoff.com/files/2010/03/warrior_med.jpg" alt="Chinese Warrior" width="600" height="600" /></a><p class="wp-caption-text">Chinese Warrior by Nathan Selikoff. 2007. Dimensions variable. Open edition print.</p></div>
<p>Lisa interviewed me after seeing the <em>Math and Art</em> exhibition at <a href="http://axiomart.org/">AXIOM</a>, where I exhibited <em>Chinese Warrior</em> and four other pieces in the series as part of a group show.</p>
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		<title>Tiled Faces</title>
		<link>http://nathanselikoff.com/29/faces-of-chaos/tiled-faces</link>
		<comments>http://nathanselikoff.com/29/faces-of-chaos/tiled-faces#comments</comments>
		<pubDate>Wed, 17 Mar 2010 03:07:08 +0000</pubDate>
		<dc:creator>nathan</dc:creator>
				<category><![CDATA[Faces of Chaos]]></category>

		<guid isPermaLink="false">http://nathan.creativeoutsiders.com/?p=29</guid>
		<description><![CDATA[In my Faces of Chaos series, I seek to visualize a chaotic dynamical system, using a unique mapping of the Lyapunov exponent to the image plane. Tiled Faces is one result of this exploration, and its 1,024 images combine to reveal the “face” of the four-dimensional system’s chaotic behavior.]]></description>
			<content:encoded><![CDATA[<h2>Experiments in Lyapunov Space</h2>
<p>In my Faces of Chaos series, I seek to visualize a chaotic dynamical system, using a unique mapping of the Lyapunov exponent to the image plane. Tiled Faces is one result of this exploration, and its 1,024 images combine to reveal the “face” of the four-dimensional system’s chaotic behavior. This emergent figuration draws the viewer in, closer to the surface, where a myriad of individual “faces” are revealed. Because I approach the challenge of representing four dimensions from an aesthetic perspective, I am free to bring the underlying equations to light, to visually and intuitively understand them. Tiled Faces juxtaposes order and chaos, artistic sensibility and mathematical depth, within its pixels and pigments.</p>
<div id="attachment_30" class="wp-caption alignnone" style="width: 610px"><a href="http://nathanselikoff.com/files/2010/03/tiledfaces_med.jpg"><img class="size-full wp-image-30   " title="Tiled Faces" src="http://nathanselikoff.com/files/2010/03/tiledfaces_med.jpg" alt="Tiled Faces" width="600" height="600" /></a><p class="wp-caption-text">Tiled Faces by Nathan Selikoff. 2007. Dimensions variable. Open edition print.</p></div>
<p>This artwork captures the essence of a chaotic dynamical system  by  visualizing its 4-dimensional parameter space. The X and Y of the  whole  image map to two coefficients, while the X and Y of each of the  1,024  individual images contained therein map to the other two  coefficients. More details are available on the <a href="http://nathanselikoff.com/26/tech-notes/faces-of-chaos-series">Tech Notes</a> page for this series.</p>
<div id="attachment_385" class="wp-caption alignnone" style="width: 410px"><a href="http://nathanselikoff.com/files/2010/03/tiled-faces-boston.jpg"><img class="size-large wp-image-385" title="Tiled Faces at Axiom Art Gallery in 2008" src="http://nathanselikoff.com/files/2010/03/tiled-faces-boston-400x600.jpg" alt="Tiled Faces at Axiom Art Gallery in 2008 with the artist, Nathan Selikoff" width="400" height="600" /></a><p class="wp-caption-text">Tiled Faces at Axiom Art Gallery in 2008 with the artist, Nathan Selikoff</p></div>
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