The Motley Fool Discussion Boards

Previous Page

Fun & Games / Math Recreations & Puzzles

URL:  http://boards.fool.com/wayne-i-dont-recognize-that-specific-pattern-29941691.aspx

Subject:  Re: name of this pattern? Date:  3/28/2012  5:10 PM
Author:  LorenCobb Number:  5798 of 5864

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
Copyright 1996-2014 trademark and the "Fool" logo is a trademark of The Motley Fool, Inc. Contact Us