|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's lively fractal is infested with dark shadows, which is why I named it "Very Dark Shadows". The name has nothing to do with an old TV series, which is the only soap-operaish program I ever actually got interested in. It merely refers to the gloomy appearance of the image, which is entirely of my making. The parent fractal came about when I iterated the formula Z^(2.005)+C at a level one step up the infinitely-valued logarithmic ladder, with the 'conj' function applied. This function is probably totally wrong, but what the heck, it makes an interesting image, consisting of a near-normal Mandelbrot set rotated so that the period-4 bud on the southern shore of the main bay intersects the negative X-axis, which is where all the action lies. There is an anomalously large minibrot in this area, and today's scene is located in the East Valley of this minibrot. I might have made the image a lot brighter, but being in a kind of down mood despite the bright weather, I let it go with the depressed feeling created by the dark areas. At the end, I rated it at a 7. The calculation time of 13 minutes is slow, but nothing that any fractalist has never seen before. And the wait may be eliminated by going to the FOTD web site at: They say that Pennsylvania had the best weather in the nation for our election on Tuesday. Being located in the center of the state, Fractal Central enjoyed the best day so far this spring. The blue skies, puffy white clouds, temperature of 73F 23C and lack of airplane contrails could hardly be beat. Being uninterested in politics, the fractal cats merely enjoyed the sun. My day was average; tomorrow looks to be the same. The next FOTD will be posted right here in 24 hours. Until then, take care, and even the most rational-thinking scientists admit that miracles are real. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Very_Dark_Shadows { ; time=0:13:18.46-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=conj logmap=1270
center-mag=-0.659994386833905/-0.0400706991520263/\
4.475544e+011/1/-58.3/0 params=2.005/0/1/0 inside=0
float=y passes=1 maxiter=7500 mathtolerance=0.05/1
periodicity=10
colors=000TKUTKUTKUTKUTKUTKUTKUTKUTKUTKUTKUTJUTIUT\
IUTJUTJUTJUTJUTKUTLUTMUTNUTNUSOSPPRMQQJQPGROESNCTM\
BTLCUMCVNCVOCWPCXQCXRCYSCZTCZUC_VC`WC`XDaXDaYDbZDc\
_Dc`DdaDebDecDfdDgeGgfKhgPewUhzZkzcnzhqzmtzrwzvzzz\
rzvrzrrzmrvhrrcrmZrhWrcUrZWrUZrV`rWcrXfvVetWerXeqY\
eoZen_dl`dk`diadhbdfccddccecafc`fcZgbYhbWibVjbTkbS\
k_QiYPhWOfUMeSLdQKbOIaMH`JGZHFYFDXDCVBBU99T78R57Q1\
3Q36P49P5CP7FP8HP9KPBNPCQPDTPEVPFVQFVQFVRFVRGVSGVS\
GVSGVTHVTHVUHVUHVUGUTGTSGSRGSRFRQFQP000FKOFONEOMEN\
M84C8CFEGKDKJDKIDEHDIHCIGCHFCGFCGECFDBECBECBDBBCAE\
68C99BCAAFB8IC7KC6ND4QE3TFKUFHUF2VF3WE3XDzXCzrB5ZB\
5UA5U96U86U77U77Q68_58b49b08c48d78eB7fE7gI7hL6rP6i\
S6jW5kZ5lb5me5mh6mi7mj8mk9mlAmmBmnCmoDmpEnqForGpsH\
qtIruJsvJtvIuuIvuHwvLxwPyxUzyZzzczzhzzmzzrzzvzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
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=========================================
|
times.
