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Author: 5761796E65 Big gold star, 5000 posts Old School Fool Add to my Favorite Fools Ignore this person (you won't see their posts anymore) Number: of 5823  
Subject: name of this pattern? Date: 3/28/2012 2:43 PM
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#   # #   # #   # #   # #   # #   #  
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  # #   # #   # #   # #   # #   # #  
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Author: rmhj Big gold star, 5000 posts Old School Fool Add to my Favorite Fools Ignore this person (you won't see their posts anymore) Number: 5797 of 5823
Subject: Re: name of this pattern? Date: 3/28/2012 3:12 PM
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serpentine?

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Author: LorenCobb Big gold star, 5000 posts Top Favorite Fools Top Recommended Fools Feste Award Nominee! Old School Fool Add to my Favorite Fools Ignore this person (you won't see their posts anymore) Number: 5798 of 5823
Subject: Re: name of this pattern? Date: 3/28/2012 5:10 PM
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Wayne, I don't recognize that specific pattern, but it looks like a variant of the Hilbert space-filling curve:

http://en.wikipedia.org/wiki/Hilbert_space_filling_curve

Here are pictures of a huge number of different fractal curves (i.e. continuous patterns of lines that, in the limit, have a Hausdorff dimension that exceeds 1. The Hilbert curve has Hausdorff dimension 2.0. Some of them resemble your pattern, but I didn't see any exact match.

http://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_d...
http://m2matlabdb.ma.tum.de/files.jsp?MC_ID=5&SC_ID=13

Loren

P.S. I recently wrote a post for the "other" Math board, on the subject of Vladimir Arnold, the Russian mathematician.

http://boards.fool.com/math-111308.aspx?mid=28772176

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