August 10, 2010: Little Crater Lost | Aug.
9 |
Aug. 11 | 2010 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's quickie image shows a minibrot of order 12, located in a tiny
piece of debris in the main bay of the large minibrot on the main stem
of the parent Mandelbrot set. This large minibrot is at a stage
about halfway between quadratic and order-12.
I named the image "Little Crater Lost" because it shows a crater filled
with minibrots like a swiss cheese, located near the top of a
hill. Being in such an unlikely location, the crater will
probably never again be viewed anywhere in the universe. If the
universe is infinite however, this crater will be viewed an infinity of
times every atto-second. And this is something to think about.
I did not need to do much thinking to decide on a rating of a 7 for
today's image. It is all-right sure enough, but exceptional -- no
way.
The heat returned to Fractal Central on Monday. When the
temperature reached 93F 34C the fractal cats retired to the tile floor
in the kitchen. They showed some displeasure when the sun, which
is now taking a somewhat lower track across the sky, began shining on
their favorite spot under the sink. A few drops of water
sprinkled on their heads by FL showed them the solution. They got
up and moved across the room. Actually, the tile floor in the
bathroom is the coolest place around, but who wants to take a nap in a
bathroom.
My day was appropriately busy. The next FOTD will be posted in 24
hours. Until then, take care, and keep pondering those mysteries.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Little_Crater_Lost { ; time=0:00:19.16-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip
center-mag=-1.760122589997146/+0.00292600604921105\
/1.074e+013/1/-122/0 params=12/10000000000000000.0\
/0/0 float=y maxiter=1800 inside=0 logmap=40
periodicity=6 mathtolerance=0.05/1
colors=000G0_F0XE0UD0QB0M90I70E30A225494BG4MN3XU3g\
`2qgAvnLwrWxvfyzqzzzRUQONWLGaJMYHRUFXQEaNFZOGWPHUP\
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PakObiObhOcgNdeNedNfcMgaMh`Mh_SURYGIc29dAEdHJdOOdW\
TdbYdibdpfhkelfeobesYdwTd }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================