Message Font: Serif | Sans-Serif
 
UnThreaded | Threaded | Whole Thread (3) | Ignore Thread Prev Thread | Next Thread
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 5887  
Subject: name of this pattern? Date: 3/28/2012 2:43 PM
Post New | Post Reply | Reply Later | Create Poll Report this Post | Recommend it!
Recommendations: 0
##### ##### ##### ##### ##### #####
#   # #   # #   # #   # #   # #   #  
### # ### # ### # ### # ### # ### #
  # #   # #   # #   # #   # #   # #  
### ##### ##### ##### ##### ##### #####

Print the post Back To Top
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 5887
Subject: Re: name of this pattern? Date: 3/28/2012 3:12 PM
Post New | Post Reply | Reply Later | Create Poll Report this Post | Recommend it!
Recommendations: 0
serpentine?

Print the post Back To Top
Author: LorenCobb Big gold star, 5000 posts Top Favorite 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 5887
Subject: Re: name of this pattern? Date: 3/28/2012 5:10 PM
Post New | Post Reply | Reply Later | Create Poll Report this Post | Recommend it!
Recommendations: 0
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

Print the post Back To Top
UnThreaded | Threaded | Whole Thread (3) | Ignore Thread Prev Thread | Next Thread
Advertisement