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	<title>Comments on: Mobius circuit</title>
	<atom:link href="http://hackaday.com/2009/02/04/mobius-circuit/feed/" rel="self" type="application/rss+xml" />
	<link>http://hackaday.com/2009/02/04/mobius-circuit/</link>
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		<title>By: Christopher</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-304967</link>
		<dc:creator><![CDATA[Christopher]]></dc:creator>
		<pubDate>Sat, 15 Jan 2011 03:07:17 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-304967</guid>
		<description><![CDATA[Ok first of all.

The Möbius strip or Möbius band (pronounced UK: /ˈmɜːbiəs/ or US: /ˈmoʊbiəs/ in English, [ˈmøːbi̯ʊs] in German) (alternatively written Mobius or Moebius in English) is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.

A model can easily be created by taking a paper strip and giving it a half-twist, and then joining the ends of the strip together to form a loop. In Euclidean space there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise. The Möbius strip is therefore chiral, which is to say that it has &quot;handedness&quot; (right-handed or left-handed).

It is straightforward to find algebraic equations the solutions of which have the topology of a Möbius strip, but in general these equations do not describe the same geometric shape that one gets from the twisted paper model described above. In particular, the twisted paper model is a developable surface (it has zero Gaussian curvature). A system of differential-algebraic equations that describes models of this type was published in 2007 together with its numerical solution.

The Euler characteristic of the Möbius strip is zero.





In other words THERE IS ONE EDGE AND ONE SIDE. if you were to walk the Side, you&#039;d end up back at the beginning going around the strip twice and this goes the same for the Edge because both left and right edges are the same edge once you&#039;ve turned the trip into a mobius strip.

People who disagree clearly don,t know what a mobius strip is. Your welcome for explaining what it is in detail, thank Wikipedia for the genuine information.]]></description>
		<content:encoded><![CDATA[<p>Ok first of all.</p>
<p>The Möbius strip or Möbius band (pronounced UK: /ˈmɜːbiəs/ or US: /ˈmoʊbiəs/ in English, [ˈmøːbi̯ʊs] in German) (alternatively written Mobius or Moebius in English) is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.</p>
<p>A model can easily be created by taking a paper strip and giving it a half-twist, and then joining the ends of the strip together to form a loop. In Euclidean space there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise. The Möbius strip is therefore chiral, which is to say that it has &#8220;handedness&#8221; (right-handed or left-handed).</p>
<p>It is straightforward to find algebraic equations the solutions of which have the topology of a Möbius strip, but in general these equations do not describe the same geometric shape that one gets from the twisted paper model described above. In particular, the twisted paper model is a developable surface (it has zero Gaussian curvature). A system of differential-algebraic equations that describes models of this type was published in 2007 together with its numerical solution.</p>
<p>The Euler characteristic of the Möbius strip is zero.</p>
<p>In other words THERE IS ONE EDGE AND ONE SIDE. if you were to walk the Side, you&#8217;d end up back at the beginning going around the strip twice and this goes the same for the Edge because both left and right edges are the same edge once you&#8217;ve turned the trip into a mobius strip.</p>
<p>People who disagree clearly don,t know what a mobius strip is. Your welcome for explaining what it is in detail, thank Wikipedia for the genuine information.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Charlie</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-130744</link>
		<dc:creator><![CDATA[Charlie]]></dc:creator>
		<pubDate>Thu, 18 Mar 2010 21:17:09 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-130744</guid>
		<description><![CDATA[Technically it does have two sides, if you count the edge. But in the strip&#039;s defense, there aren&#039;t any other 2 sided objects.]]></description>
		<content:encoded><![CDATA[<p>Technically it does have two sides, if you count the edge. But in the strip&#8217;s defense, there aren&#8217;t any other 2 sided objects.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: live wire</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-89998</link>
		<dc:creator><![CDATA[live wire]]></dc:creator>
		<pubDate>Thu, 27 Aug 2009 22:39:45 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-89998</guid>
		<description><![CDATA[Is there a picture for it anywhere to see what it looks like?
-Jack]]></description>
		<content:encoded><![CDATA[<p>Is there a picture for it anywhere to see what it looks like?<br />
-Jack</p>
]]></content:encoded>
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	<item>
		<title>By: niun</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-62703</link>
		<dc:creator><![CDATA[niun]]></dc:creator>
		<pubDate>Thu, 12 Feb 2009 08:49:44 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-62703</guid>
		<description><![CDATA[yeah, you can make through hole connections from one side of the board to __the same side__ of the board. i have to think about circuit for such a routing ...]]></description>
		<content:encoded><![CDATA[<p>yeah, you can make through hole connections from one side of the board to __the same side__ of the board. i have to think about circuit for such a routing &#8230;</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: lofty</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-62073</link>
		<dc:creator><![CDATA[lofty]]></dc:creator>
		<pubDate>Fri, 06 Feb 2009 19:45:13 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-62073</guid>
		<description><![CDATA[Similar conductive paint is used to repair rear-window defrosters.]]></description>
		<content:encoded><![CDATA[<p>Similar conductive paint is used to repair rear-window defrosters.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: andar_b</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61992</link>
		<dc:creator><![CDATA[andar_b]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 23:26:17 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61992</guid>
		<description><![CDATA[@wolf:

Why not use something like a racquetball with your electronics stabbed into it (or glued on), and conductive ink to connect them together?  It probably wouldn&#039;t be all that durable, but it would be a spherical circuit, wouldn&#039;t it?]]></description>
		<content:encoded><![CDATA[<p>@wolf:</p>
<p>Why not use something like a racquetball with your electronics stabbed into it (or glued on), and conductive ink to connect them together?  It probably wouldn&#8217;t be all that durable, but it would be a spherical circuit, wouldn&#8217;t it?</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: crobicha</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61962</link>
		<dc:creator><![CDATA[crobicha]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 19:15:42 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61962</guid>
		<description><![CDATA[Great hack! Simple, creative and unique.

An appropriate application of ingenuity indeed =)]]></description>
		<content:encoded><![CDATA[<p>Great hack! Simple, creative and unique.</p>
<p>An appropriate application of ingenuity indeed =)</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Wolf</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61961</link>
		<dc:creator><![CDATA[Wolf]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 18:58:52 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61961</guid>
		<description><![CDATA[Awesome,

Also, google has no relevant results for &quot;spherical circuit&quot; **rummages around for a sphere to electroplate**]]></description>
		<content:encoded><![CDATA[<p>Awesome,</p>
<p>Also, google has no relevant results for &#8220;spherical circuit&#8221; **rummages around for a sphere to electroplate**</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: cptfalcon</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61958</link>
		<dc:creator><![CDATA[cptfalcon]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 18:32:59 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61958</guid>
		<description><![CDATA[so a donut board would have 0 edges?]]></description>
		<content:encoded><![CDATA[<p>so a donut board would have 0 edges?</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Gilboy</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61956</link>
		<dc:creator><![CDATA[Gilboy]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 18:00:23 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61956</guid>
		<description><![CDATA[my brain hurts now.]]></description>
		<content:encoded><![CDATA[<p>my brain hurts now.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Fry-kun</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61952</link>
		<dc:creator><![CDATA[Fry-kun]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 17:51:27 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61952</guid>
		<description><![CDATA[hackius: http://shop3.frys.com/product/2931025?site=sr:SEARCH:MAIN_RSLT_PG]]></description>
		<content:encoded><![CDATA[<p>hackius: <a href="http://shop3.frys.com/product/2931025?site=sr:SEARCH:MAIN_RSLT_PG" rel="nofollow">http://shop3.frys.com/product/2931025?site=sr:SEARCH:MAIN_RSLT_PG</a></p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Hackius</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61948</link>
		<dc:creator><![CDATA[Hackius]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 16:45:15 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61948</guid>
		<description><![CDATA[Where do I get that sweet conductive ink? It looks awesome!]]></description>
		<content:encoded><![CDATA[<p>Where do I get that sweet conductive ink? It looks awesome!</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: tecNik</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61944</link>
		<dc:creator><![CDATA[tecNik]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 16:08:58 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61944</guid>
		<description><![CDATA[Oh my sweet, holy, jammydodgers! That is the sweetest thing I&#039;ve seen on Hackaday for ages.
Just about to start my own with an SMT 40106 and 4017.]]></description>
		<content:encoded><![CDATA[<p>Oh my sweet, holy, jammydodgers! That is the sweetest thing I&#8217;ve seen on Hackaday for ages.<br />
Just about to start my own with an SMT 40106 and 4017.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Chris_C</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61925</link>
		<dc:creator><![CDATA[Chris_C]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 07:17:41 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61925</guid>
		<description><![CDATA[Cut it in half down the middle… trust me.

way to bet for free beer, obvious when you think about it but a little unexpected.

Oh and nice fun circuit!]]></description>
		<content:encoded><![CDATA[<p>Cut it in half down the middle… trust me.</p>
<p>way to bet for free beer, obvious when you think about it but a little unexpected.</p>
<p>Oh and nice fun circuit!</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: basic a</title>
		<link>http://hackaday.com/2009/02/04/mobius-circuit/comment-page-1/#comment-61923</link>
		<dc:creator><![CDATA[basic a]]></dc:creator>
		<pubDate>Thu, 05 Feb 2009 07:07:38 +0000</pubDate>
		<guid isPermaLink="false">http://hackaday.com/?p=8350#comment-61923</guid>
		<description><![CDATA[Cut it in half down the middle... trust me.]]></description>
		<content:encoded><![CDATA[<p>Cut it in half down the middle&#8230; trust me.</p>
]]></content:encoded>
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