Message Font: Serif | Sans-Serif
 
UnThreaded | Threaded | Whole Thread (3) | Ignore Thread Prev Thread | Prev | Next | Next Thread
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: of 5865  
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
Post New | Post Reply | Reply Later | Create Poll Report this Post | Recommend it!
Print the post  
UnThreaded | Threaded | Whole Thread (3) | Ignore Thread Prev Thread | Prev | Next | Next Thread

Announcements

Foolanthropy 2014!
By working with young, first-time moms, Nurse-Family Partnership is able to truly change lives – for generations to come.
When Life Gives You Lemons
We all have had hardships and made poor decisions. The important thing is how we respond and grow. Read the story of a Fool who started from nothing, and looks to gain everything.
Post of the Day:
Dividend Growth Investing

Good Time for Dividend Champions?
What was Your Dumbest Investment?
Share it with us -- and learn from others' stories of flubs.
Community Home
Speak Your Mind, Start Your Blog, Rate Your Stocks

Community Team Fools - who are those TMF's?
Contact Us
Contact Customer Service and other Fool departments here.
Work for Fools?
Winner of the Washingtonian great places to work, and "#1 Media Company to Work For" (BusinessInsider 2011)! Have access to all of TMF's online and email products for FREE, and be paid for your contributions to TMF! Click the link and start your Fool career.
Advertisement