August 19, 2012: PI Celebration | Aug. 17 | Aug. 20 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
venture into
the PI family of fractals takes us to the parent fractal that results
when Z^(PI)+C is iterated PI levels up the hyperladder with the 'ceil'
function applied. This parent resembles the familiar ground
level
PI fractal rotated about 30 degrees so that the north bud faces
northeast. Today's image is located in the debris surrounding
a
small distorted bud on the fractured western shore line of the southern
lobe of the main bay, just north of the negative X-axis.
I usually avoid spirals in my fractals, since currently trendy fractals
are over-populated with them, but today's fractal is so unusual that I
just had to show it. Instead of consisting of continuous
unbroken
arms, the spiral surrounding the minibrot in today's image consists of
isolated patches of debris spotted in a spiral pattern. This
plus
the coloring raises the rating to a respectable 7-1/2.
The name "PI Celebration" needs no explanation. The
calculation
time of 1-1/4 minutes leaves only a tiny opening for impatience and
boredom to creep in. And even this tiny possibility may be
eliminated by visiting the web sites.
The day began with a bank of river fog obscuring the sky, but by
mid-morning the fog cleared off, revealing a higher layer of clouds
that prevailed for the rest of the day. The temperature of
75F
24C and lack of hot sun kept it quite comfortable for the middle of
August.
The house watch cats, Cassie and Nicholas, being indoor cats, had
little to say about the outside conditions. The humans, being
at
least marginally human, had other things, such as discussing politics,
to occupy their time.
The next in the unending series of FOTD fractals will soon be
posted. Until whenever, take care, and is the FOTD finally
running out of steam after 15 years? Stay tuned for the next
15
years to find out.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
PI_Celebration { ;
time=0:01:15.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ceil
center-mag=-0.6252176739160485/+0.0538719225787179\
/3.284e+009/1/147.5/0 params=3.14159265358979/0/\
3.14159265358979/0 float=y maxiter=2000 inside=0
logmap=142 periodicity=6
colors=000Kx0Kw0Kv0Ku0Kt0Ks0Kr0Kq0Kp0Ko3Kn4Km4Ii5G\
f5Eb6C_6AW78T76P84M82I90F91E81D81B71A7186176266245\
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ybezXizVgxUewTcvRauQ_tPYsNWrMUqLTpMVnNWlOXjPZiQ_gR\
`eRbdScbTd`Uf_VgYWhWWiVXhTYgSZfR_fQ`ePadNbdMccLdbK\
ebJb`N`_RZZUXYYVX`TWdRVgNSTPOVRKWTHXRIWPIVNIULJTJJ\
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8zc8zc8zc8zc8zc8zc8zh8zm8zr9zvAzzBzzCzzCzzDzzEzzFz\
zGzzGzzHzzIzzJzzKzzKzzUzzbzzlDzzFzzHzzJzzKzzMzzOzz\
QzzRzzTzzVzzXzzYzzXzzWzzVzzUzbTzcSzdRzeQzePzfOzgNz\
hNzhMzgLzfLzfKzeJzeJzdIzd }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z|<a }
END PARAMETER FILE=========================================