FOTD -- June 23, 2008 (Rating ?)
Fractal visionaries and enthusiasts:
Today's image springs from a new formula, one that I wrote on
Sunday and named 'DivideBrot2'. The formula is so new that I
have little idea what it does or how it works.
Today's particular parameters create a parent fractal that
resembles a Mandelbrot set with two main bays. But even though
the parent resembles the M-set, the minibrots in it are quartic.
And though today's image is located in what appears to be
Seahorse Valley of the parent fractal, the elements in the image
more closely resemble those of an East Valley.
Since I have very little idea of what the formula can do, I had
no idea how to rate the image. The name I gave it -- "Quartic
Minibrot" -- is nothing more than a description.
This formula appears to get more out of a quartic fractal than
the simple formula Z^4+C. Hopefully it will do the same for
some of the higher order fractals. I'll work with the new
formula for a day or so before deciding whether to consign it to
the storage bin. If anything of unusual interest turns up, I'll
post it as a FOTD.
Today's image is rather slow, taking almost 9 minutes to finish
on the fastest machine. Any budding impatience may be nipped by
visiting the FOTD web site at:
<
http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
and viewing the completed image there.
The weather was good enough here at Fractal Central on Sunday,
with sunny skies and a temperature of 84F 29C. The clouds that
moved in at 5pm and the light thunder-shower than followed
arrived too late to spoil the day. The fractal cats spent most
of the day watching for squirrels and passing tomcats.
My day was appropriately lazy, and if I have my way, tomorrow
will be the same. The next FOTD will appear in 24 hours. Until
then, take care, and if it doesn't make good sense, question it.
Jim Muth
jamth@???
jimmuth@???
START PARAMETER FILE=======================================
Quartic_Minibrot { ; time=0:08:58.05-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot2 passes=1 inside=0
center-mag=-1.045188369333446/+0.03206533434293096\
/1.098195e+012/1/82/0 params=2/-2/1/0 float=y
maxiter=15000 periodicity=10 mathtolerance=0.05/1
colors=000YmXXhUWdRV_OUWLSRIRNFQICPE9O96N53M10O32P\
44Q56R68T8AU9CVAEWBGYDIZEK_FM`GNZFOYEPXDPWCQUBRTAR\
S9SR8TQ7TO6UN5VM4VL3WK3WQDUVMT`WSedQknPpwOltTirYfp\
bbmg_klXipVfmTdjRagP_dNXbLV_JSXHQUFNRDLPBIM9GJ7DG5\
BD39B88GD7LH6PM6UR5YV4b_3fd3kh2om1tq1xq2Zq39o5Dn6G\
m8Kk9NjBRiCUgDXfF`eGccIgbJjaKm`Mk_OjZQiYShXUgWWfVY\
eU_dTacSbbOcaKc`Gc_CdZ8dY5dX6IRBNSGRTLVTP_UUcUZgVb\
lWgpWltXpxXjpUeiS_aPVVNPNKKGIE8F91DB6JDBOFGTHLYJQc\
LVhN_mPdrRhwTdqU`kVXeWT`YPVZLP_HJ`DEeGMjIUoKatMiyO\
qSvqOmgLeYIYOFQECI4FH8HHCJHFLGJNGMPGQSFTUFXWF_YEc_\
EfaEjcEm`FlZFkXGjVGjTHiRHhPIgNIgKJfIJeGKdEKdCLcALb\
8Ma6MaTVgSThSRhSQhSOhSNhSLhSKhRIhRGhRFhRDhRChRAhR9\
hU8gW7gZ6f`6fc5ee4eh4dj3dm2co2cdWaVx_YwX_vVauSctQf\
tNhsLjrIlqGnpDqpBso8un6wm3ym1xj4xg6wd8waAvZCvXFuUH\
uRJuOLtLNtJQsGSsDUrAWr7Yr5_s4Ys4Ws3Us3Ts3Rs2Ps2Os1\
Ms1Ks1Jq2ICqb9sdNuc`vcZq_ }
frm:DivideBrot2 { ; Jim Muth
z=0, c=pixel, aa=real(p1), bb=imag(p1),
dd=real(p2), ff=imag(p2)+64:
z=z^aa/(z^bb+dd)+c
|z| <= ff }
END PARAMETER FILE=========================================
