ME and Mandelbrot

>>a category Douthett has extended into his particle physics
>>applications of ME.
>
>May I ask you what you mean by "particle physics" here, and what
>these applications are?

I know this was not directed to me, but I am familiar with this as
Richard Krantz works down the hall. Maximally even sets come up in
statistical mechanics and other fundamental areas where the energy of
ensembles of particles are considered, specifically, ME sets come up in
one dimensional Ising models. Krantz and his students are currently
extending their ideas to two and more dimensions.

As for the Mandelbrot stuff, I am sure it is a hoax, or Schipke is
desperately trying to find something that isn't there. Consider this
statement "Schipke continues: "What was interesting at this point was
that we looked back at the words of O Fortuna, and suddenly they fell
into place. Verse two - Luck / like the moon /
changeable in state / We are cast down / like straws upon a ploughed
field / Our fates measuring / the eternal circle - is very clearly an
allusion to the Buffon's Needle
method." Uh uh. Na ga da.
While it is reasonable to expect that certain artistic iterations may
produce objects resembling those arising from modern day fractal
computations (take a circle, graft three circles to its perimeter, graft
three circles to their perimeters, etc.), the crotch of the M set is
clearly seen on this page. Getting that detail right is very unlikely.
On the other hand Gaston Julia did hand calculations and sketches right
after WWI (and published his conclusions in 1928) of the Mandelbrot
set's companion set (now called the Julia set), and there are examples
of fractals in Chinese, Indian, and Islamic art.

--
John Starrett
"We have nothing to fear but the scary stuff."
http://www-math.cudenver.edu/~jstarret/microtone.html