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	<title>Boing Boing &#187; expensive stuff</title>
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		<title>Klein bottle bottle&#160;opener</title>
		<link>http://boingboing.net/2012/11/19/klein-bottle-bottle-opener.html</link>
		<comments>http://boingboing.net/2012/11/19/klein-bottle-bottle-opener.html#comments</comments>
		<pubDate>Mon, 19 Nov 2012 20:07:04 +0000</pubDate>
		<dc:creator>Maggie Koerth-Baker</dc:creator>
				<category><![CDATA[Post]]></category>
		<category><![CDATA[beer]]></category>
		<category><![CDATA[expensive stuff]]></category>
		<category><![CDATA[math]]></category>
		<category><![CDATA[Science]]></category>
		<category><![CDATA[sculpture]]></category>

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		<description><![CDATA[Yes, it's $72. But this 3-D printed metal sculpture/bottle opener is fantastic. And so is its marketing copy. The problem of beer That it is within a 'bottle', i.e. a boundaryless compact 2-manifold homeomorphic to the sphere. Since beer bottles are not (usually) pathological or "wild" spheres, but smooth manifolds, they separate 3-space into two [...]]]></description>
			<content:encoded><![CDATA[<p><a href="http://boingboing.net/wp-content/uploads/2012/11/kleinx1beer.jpeg"><img src="http://boingboing.net/wp-content/uploads/2012/11/kleinx1beer.jpeg" alt="" title="kleinx1beer" width="318" height="390" class="alignnone size-full wp-image-195092" /></a></p>

<p>Yes, it's $72. But this 3-D printed metal sculpture/bottle opener is fantastic. And so is its marketing copy.</p>

<blockquote><p><strong>The problem of beer </strong> That it is within a 'bottle', i.e. a boundaryless compact 2-manifold homeomorphic to the sphere.  Since beer bottles are not (usually) pathological or "wild" spheres, but smooth manifolds, they separate 3-space into two non-communicating regions: inside, containing beer, and outside, containing you.  This state must not remain.</p></blockquote>

<p><a href="http://www.bathsheba.com/math/klein/klein_x1.html">Read the rest of the product description</a> and, you know, maybe buy the bottle opener, too. If you're feeling spendy.</p>

<em><p>Via <a href="https://twitter.com/pickover">Cliff Pickover</a></p></em>

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