May 12, 2013: Oh-I-See-You | May 11 | May 13 | 2013 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
rating is in
two parts, a math part and an art part. The mathematical
interest
is quite high, the artistic interest, just so-so.
The scene lies well inside the main bay of the Mandelbrot set, where
nothing but a blank screen should be expected, but today's image is
anything but blank. The 'ghost bud' peeking out from behind
the
dark foreground stuff on the left is the first sign I have found of
minibrots in the hyper part of the HyperMandelbrot set. True,
the
scene is not critical, but it is a sign that interesting discoveries
might lie ahead. So far however I have been unable to bring
the
partially hidden bud out into the open.
The hole at the center of the parent fractal closely resembles the
mandel-object found by Mike Frazier at the bottom of what I had
previously assumed was an endlessly shrinking series of concentric
fractal starbursts. Today's scene lies inside a second-order
bud
at the edge of the circluar hole at the center of the main bay of the
M-set.
The superior math rating of a 9 is held down by the merely average
artistic-worth rating of a 6. The name "Oh I See You"
describes
how I felt when I first caught sight of the unexpected bud.
The calculation time of 7 minutes is slow, let's face it. The
way
to avoid time frustration is to find relief on the web sites.
A mix of sun and ragged clouds, a temperature of 59F 15C and a brisk
northwest wind made today feel unseasonably chilly here at Fractal
Central. The fractal cat managed to find a stray shaft of
sunlight in the afternoon, and curled up in comfort, but a cloud
covered the sun after only 10 minutes and he retired to claim my
favorite chair. With no mothers to visit, the fractal humans
had
a pleasant day at a local barn that has been converted into an antique
shop.
The next FOTD will be posted in the proper time. Until that
wonderful moment arrives, take care, and if the right is right, how can
the left be right?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Oh_I_See_You
{ ; time=0:07:00.00
SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=HyperMandelbrot2 passes=1 float=y
center-mag=-0.1237598874/+0.0164735574/3530/1/-23/0
params=0/0/0/0/10/0/1e-060/0 maxiter=7200
inside=0 logmap=459 periodicity=0
colors=00060I50K70J70K80K90LA0LB0KC0KD1LE2MF3OH4PJ\
5RL6SN7UP8WR9XTAZWB_ZC`aD`cEacFacGbcGdcHccIbcHacIa\
cJ`cI_cJZcJZcJYcJXcKWcKWcLVcMUcMTcNTcOScORcPQcPQcP\
PcPOcPNcPRcPPcPNbPMaPK`PJ`NH`MG_ME_KDZJBZIAXJBWKCV\
LDUKETKFSKGRKGQKHPKIOKJNKKMKLLKMKKMJJNIIOHHPHGQKMR\
JMSIMSHMTGMUFMVEMWDMXCMXDMWEMWFMVFMVGMUHMUHMTDGTEH\
SFISFJRGKRHKQHKQIKPJKPKKOKKOLKNMKNMKNNKMOKMPKLPKLQ\
KKRKKRKJSKJTKIUKIUKHVKHWKGWJGXIFYHFZGEZFE_FE_JG_JG\
ZIGZIGZIGZHGZHGYGGYGGYGGYFGXFGXFGXEGXEGXEGWDHWDHWC\
HWCHVCHVBHVBHVBHUAHUAHUAHU9HU9HT8HT8HT8HT7HS7HS7HS\
6HS6HS6HT7GT8GT9GT9GTAGTBGUCGUCFUDFUEFUFFUFFVGFVHF\
VIEVIEVJEVKKWLKWLKWMKWNPWNPWOPXPPXQUXQUXSUXTUXTZYT\
ZYUZYWZYXcYYcYZcZ_cZahZahZbhZchcembkmbkmbkmbkrbkrb\
krbkrbkwhkwhkwhkwhkzhkzblzhlzhlzhlzhlzhlzhlzhlzhlz\
hlzhgzhgzhgzhhzmmzmmzmmzmmzmmzmmzmwzmwzmwzzwzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================