Jim's suggestion of a Clouseauian "sneauflec" is cute. The French word for flake is "flocon". (As in snowflake = flocon de neige.) --Dan On May 30, 2014, at 6:47 PM, Bill Gosper <billgosper@gmail.com> wrote:
On 2014-05-30 18:23, Dan Asimov wrote: |. . .
Finally, define the fractal G := bd(H_oo), the boundary of H_oo.
It has the lovely property that a rosette of 7 translated copies of it fitting snugly together forms a magnified and rotate copy of H_oo, as the regular hexagon doesn't quite do.
It's easy to see the Hausdorff measure d of G is the solution to sqrt(7)^d = 3, so
d = log_7(9) = 1.1291500681....
Reminder: http://gosper.org/wikifrac.gif
Very nice! I'd forgotten about those animations.
QUESTION: Does G have an official name?
--Dan I'm satisfied (≠ thrilled) with Franceflake. --rwg