Re: [math-fun] Fractal puzzles
For the fractal boundary I describe below -- and for the one described by Bill G. and Alan, if they're all the same -- I get Hausdorff dimension = log_5(9) (~ 1.3652+). --Dan << So, does this make it the same as starting with a plus sign of 5 adjacent squares, and taking 5 congruent copies snuggled together and normalized -- then iterate to the limit? (Actually the boundary of this limit.) If so, it's a fractal I was studying just a couple of months ago. I'll go review what I had about it.
_____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele
Does the rotation from the /(2+i) make a difference here? --Rich ________________________________________ From: math-fun-bounces@mailman.xmission.com [math-fun-bounces@mailman.xmission.com] On Behalf Of Dan Asimov [dasimov@earthlink.net] Sent: Wednesday, June 24, 2009 10:00 AM To: Dan Asimov; math-fun Subject: Re: [math-fun] Fractal puzzles For the fractal boundary I describe below -- and for the one described by Bill G. and Alan, if they're all the same -- I get Hausdorff dimension = log_5(9) (~ 1.3652+). --Dan << So, does this make it the same as starting with a plus sign of 5 adjacent squares, and taking 5 congruent copies snuggled together and normalized -- then iterate to the limit? (Actually the boundary of this limit.) If so, it's a fractal I was studying just a couple of months ago. I'll go review what I had about it.
_____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (2)
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Dan Asimov -
Schroeppel, Richard