May 27, 2012: Fractal in the Hay | May 25 | May 28 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
strange
looking fractal is a near-Julia set of a parent Mandelbrot set that has
been distorted almost beyond recognition by Z^101 energies.
This
parent resembles the vaguest outline of an M-set, which is filled with
one large fragmentary circular outline and various fragmentary circular
arcs and curves of other shapes and sizes.
The orientation of the slice is only 0.0001,0.0001 degree from the true
Julia direction of the Julibrot, but this slight departure fills the
empty Julia circles with grossly enlarged images of some of the
fragmentary arcs filling the parent Mandelbrot set.
I named the image "Fractal in the Hay" when the colors reminded me of
the color of dried hay. The large horseshoe-shaped object
adds to
the impression of a barnyard.
The rating of a 7 will set no new quality record, but the calculation
time of 23 seconds will waste no time either. And as always,
the
FOTD web sites are ready to make the viewing even easier.
FL and I made it to Old Fractal Central and back yesterday with few
problems other than taking one wrong turn. When we returned,
we
were loudly scolded by the Fractal Cats, who were cranky about having
been left alone all day.
Lots of clouds and humidity prevailed here at Fractal Central
today. But enough sun broke through to raise the temperature
to a
sultry 86F 30C. The fractal cats appear to have gone into
summer
mode. They spent the warmest part of the day stretched in the
coolest places they could find.
The humans had a slow day, resting after yesterday's trip to Old
Fractal Central. The next FOTD will be posted before
long.
Until that incredible moment, take care, and when life serves a lemon,
make a sour face and bite it.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Fractal_in_the_Hay { ; time=0:00:23.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideJulibrot passes=1 maxiter=1500
center-mag=1.81961/0.00092575/2.211791/1/-45/0
params=89.9999/0/89.9999/0/-2.3155315/0/0/0/101\
/1.5 float=y inside=0 symmetry=none periodicity=6
colors=000nIUsIQxIMZDdA8wGDqMIkSNeXS_bXUhaOmeJldIk\
cHjbGiaFh`Eg_DfZCeZBdYAcX9bW8aV7`U6_T5ZT5`V8bXBdZE\
e`GgbJidMjeOlgRniUpkXqmZsoauqdvrfwpewoewnexlexkexj\
evhbtf`reYpcWnbTl`Rj_OiYMgXJeVHcUEaSC_R9YP7XO5dHJk\
AWr3hl7dgB`aFXXITSMPMQLHUHCXEITLNPSSLZXHdjOnxUwiZv\
WcvIhu4muCllJkcQkWSlXTmYUnZWo_Xo`YpaZqb`rcasdbsedt\
feugfvhgviitjjrkkqllommnnolopkpqiprhqsfruesvctwbux\
`vy_vzWozSizOczKYzGRzCLz8Fz49z03dIGK_TLbVLeXLgYMj_\
Mm`MobNrcNueNwfPtdRqbTo`VlZXjXZgV`eTabRc_PeYNgVLiT\
JkQHmOFoLDpJCnMDlPEjREhUFfXGeZG_WOVUVQRaLPhGNoXPlm\
QijNfhKceIacFZ`CWZAUW7RU5PV7RW9SXBUYDVZFW_HY_JZ`L`\
aNabPbcRddTedUfcWebXdaZc`_b_aaZbaYd`Ye_XfZWhYViYUk\
XTlWSnVRoURpU_e`hVfqKly9rt8np8jk7fg7bb7_Z6WV6SQ6OM\
5KH5HD5D84944504235865E95KC5PF5VI5`L5eO5kR5qU5vLps\
GlgBhX6dM2aBVJXv1rw4pw7owAmwClxFjxIixLgxNfyQdyTcyW\
ayY`z`ZJFqOGmUGiZGecHaiHY }
frm:DivideJulibrot {; draws 4-D slices of
DivideBrot
Julibrots
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d), aa=-(real(p5)-2),
bb=(imag(p5)+0.00000000000000000000001),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a),
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=sqr(z)/(z^(aa)+bb)+c
|z|< 1000000 }
END PARAMETER FILE=========================================