Here's a clickable version of the URL included in Bill's excellent animation http://www.vanderbilt.edu/AnS/psychology/cogsci/chaos/workshop/Fractals.html On Fri, Oct 4, 2013 at 2:26 PM, David Makin <makinmagic@tiscali.co.uk>wrote:
Ah - sorry I just looked at the animation page, guess I should have read all the previous mails first ;)
On 4 Oct 2013, at 21:54, Mike Stay wrote:
The mistake is leaving out the condition that the larger figure be similar to the smaller one. Seven hexagons are not similar to one, but seven Franceflakes are similar to one.
On Fri, Oct 4, 2013 at 2:38 PM, David Makin <makinmagic@tiscali.co.uk> wrote:
Surely some mistake - the fractal version also works with hexagons ? i.e. with something of unit boundary dimension. Or am I going insane ?
On 4 Oct 2013, at 21:29, Dan Asimov wrote:
Guess: It's 1/21 of the large figure.
--Dan
On 2013-10-04, at 1:27 PM, Dan Asimov wrote:
That's a really cool demo!
I wonder what the area is of the triangular figure of the map-of-France at the moment the 3 "segments" first touch.
--Dan
On 2013-10-04, at 11:47 AM, Bill Gosper wrote:
Mike Stay>That's great! May I suggest that when the area is smallest, you should give those three regions the labels 1, 2, and 3?
Thanks! How's http://gosper.org/flaky.gif ?
--rwg
On Fri, Oct 4, 2013 at 2:41 AM, Bill Gosper <billgosper@gmail.com> wrote:
Funster Gary Antonick (NYT NumberPlay) fears that the Franceflake fractal boundary paradox might be too hairy for his readers, even though Martin Gardner explained it in his original Flowsnake piece. So I made an mgif (gosper.org/flake.gif) illustrating the problem, and offering a URL for an (indirect) explanation. --rwg _______________________________________________
-- Mike Stay - metaweta@gmail.comhttp:// www.cs.auckland.ac.nz/~mikehttp://reperiendi.wordpress.com
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