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		<title>Cycling 74  &#187;  Topic: Self-avoiding walk?</title>
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		<pubDate>Thu, 20 Jun 2013 01:31:03 +0000</pubDate>
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					<title><![CDATA[Self-avoiding walk?]]></title>
					<link>http://cycling74.com/forums/topic/self-avoiding-walk/#post-65887</link>
					<pubDate>Wed, 02 Jan 2013 23:13:42 +0000</pubDate>
					<dc:creator>owmtxy</dc:creator>

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						<p>Has anybody played with / thought of a simple way of implementing a self-avoiding walk algorithm for working through 2D matricies?<br />
I&#8217;m trying to &#8216;walk&#8217; through a [jit.matrix] without repeating steps (which makes me think along the lines of [urn]?), but want to be able to move up/down too. Also, since the steps want to be limited to immediate neighbour cells, maybe I should be looking towards some sort of drunk/markov type thing?</p>
<p>Anybody got any thoughts?</p>
<p>O.</p>
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					<guid>http://cycling74.com/forums/topic/self-avoiding-walk/#post-237293</guid>
					<title><![CDATA[Re: Self-avoiding walk?]]></title>
					<link>http://cycling74.com/forums/topic/self-avoiding-walk/#post-237293</link>
					<pubDate>Thu, 03 Jan 2013 12:38:55 +0000</pubDate>
					<dc:creator>Roman Thilenius</dc:creator>

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						<p>are you talking about a random walk in a 2d space, which does not cross its own past path?</p>
<p>in this case i think you wont come around creating a table with all the past coordinates, so that  you can compare new steps with all the past ones.</p>
<p>i would probably use a signal buffer~ to do so.</p>
<p>-110</p>
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					<guid>http://cycling74.com/forums/topic/self-avoiding-walk/#post-237294</guid>
					<title><![CDATA[Re: Self-avoiding walk?]]></title>
					<link>http://cycling74.com/forums/topic/self-avoiding-walk/#post-237294</link>
					<pubDate>Thu, 03 Jan 2013 13:28:51 +0000</pubDate>
					<dc:creator>big_pause</dc:creator>

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						<p>The trouble with a purely random walk, for anything other than a 2&#215;2 matrix is that there is no guarantee you&#8217;ll visit every element, which is what <a href='http://cycling74.com/forums/users/owmtxy/' rel='nofollow' class='bbp-mention-link owmtxy'>@owmtxy</a> wants I think.  If you allow wraparound (create a torus out of your matrix), then I think you can do for 2xN, but again no guarantee for 3&#215;3 or larger (thats taking steps to neighbours only).</p>
<p>A possible way to look at this is with various space filling curves.</p>
<p>T</p>
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