August 4, 2013: No Minibrots Here | Aug. 2 | Aug. 5 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's scene shows what I call a 'hill' of anti-bifurcation situated
inside the second bud of the north radical of the large minibrot on the
main stem of the tiny parent M-set. The generating expression
adds an infinitesimal amount of Z^(-2.2) to 100 parts of Z^2, producing
a tiny Mandelbrot set with left-over debris at the center of the
buds. The fractional part of the exponent has generated a
discontinuity in the northeast part of the image.
As the name implies, there are "No Minibrots Here". At least,
I
have not yet found any in the area, though similar 'hills' abound.
The artistic rating of a 7 indicates average worth, while the math
rating of an 8 indicates exceptional mathematical value. In
fact,
the 'hill' is one of the finest I have yet stumbled upon.
The calculation time of 1-1/2 minutes is fast enough to keep impatience
at bay. And the finished image is always available on the
FOTD
web sites.
Near perfect midsummer weather prevailed here at Fractal Central today,
with photoshop blue skies, cotton-candy clouds and a temperature of 77F
25C. The fractal cat enjoyed the conditions while sleeping in
the
laundry basket. The fractal humans enjoyed the fractal cat
enjoying the conditions while sleeping in the laundry basket.
The next FOTD will be posted when I find it and write about
it.
Until that glorious moment arrives, take care, and show the world that
your pet conspiracy theory is true.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
No_Minibrots_Here { ; time=0:01:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-0.01757933078094727/+0.000158504568805\
81/1804502/1/75/0 params=100/2/1e-016/-2.2/0/0/0/0
float=y maxiter=1000 inside=0
periodicity=6 mathtolerance=0.05/1
colors=000AmNDPDf97c86a76Z66X55U45S45P35N24K14I04Y\
GsXFpWEmVDjUChzzzzzzhcz09YP8cO7fU6zYIzL5KK4HJ3EI2C\
H19G06GzaGtYGnVGhSGcPGYMGSJGMGGHDGBAG57v86k65`45Q2\
4wlrshnpejmagjZcgV_dSXaOTYLPVHMSEIPAEM7BF37amzaWgH\
LV9AH0Fz1Em2Dc3CW4BU5AS69P78N87L96JA5HB4EC3CD2AE18\
F06TP2SN3RL3QJ3PH3OG3NE3MC3LA4K84J74I54H34G14o7Gk6\
Eg5Dd4C`4BY3AU28Q27N16J05BeMzXhpQ_gJSYDKP6CQu7Pr6P\
o6Ol6Oi6Ng6Nd6Ma6MZ5LX5LU5KR5KO5JM5JJ5IG4ID4HB4H84\
G54G24fyKdvJcsIbqIanH65G63H61H74I86J98K9ALACMBENCG\
OCIPDLQENRFPSFRTGTUHVVIXWIZWPROVJGaB8g31Mdf61qL`bL\
Y_KUXKRUJNQJKNIHKIDHHADH6AG37C5`D4YD4WD4UD3SE3QE3O\
E2ME2KF2IF1GF1EF1CG0AG08G06Y6hX5eW5cV5aU4ZT4XS4VR3\
TQ3QP3OO2MN2JM2HL1FK1DJ1AI08H06S7bR6`Q6ZQ5XP5WP5UO\
4SN4QN4PM3NM3LL3JK2IK2GJ2EJ1CI1BH19H07G05WxIUsHToG\
SkFRgEQcDP_COWBNSAMO9LK8KG7JC6I85H446jP8`KASGCICE9\
8rcimZchUZcPUZKPUFJPAEK59 }
frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================