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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With today's image we leave the Mandelbrot set and examine the fractal that results when 5 negative parts of Z^(-1.5) are combined with 1 negative part of Z^(-5), and (1/C) is added. This parent fractal is a vertically stacked series of bays, with the typical 'fan' extending east along the X-axis. The scene of today's image is in a blunt valley on the southwest edge of the stack of bays. With its gaudy colors and feeling of pop-art, the image reminds me of a festive celebration, so I named it "Celebration Rites". The usual minibrot appears to be missing, but actually the image is filled with minibrots. They are simply too small to be seen. One of these will appear in 24 hours however, at the center of the FOTD for August 29. All things considered, I rated the image at a 7. The calculation time of just over 1 minute is no obstacle to the rapid enjoyment of today's image. And downloading the completed image from the FOTD web site at: Perfect weather, perfect cats, and little work on Monday -- what more could a dedicated fractalist ask for? . . . . . . Well, he might ask for a better image, but no fractal can possibly achieve perfection. Be that as it may, the next try at perfection will come in 24 hours, when the next FOTD appears. Until then, take care, and stay filled with wonder, even as you wonder about which wonder to wonder about. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Celebration_Rites { ; time=0:01:14.12-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip inside=0
params=-5/-1.5/-1/-5/0/0/0/0 float=y periodicity=10
center-mag=+0.1144117535417508/-1.646747111980673/\
2489156/1/87.5/4.68434676464957178e-009 maxiter=1600
colors=000z0emYez0drUdz0dzQdz0dzUgz0kzYmzCqzauzRvv\
gzsezolzkuzimzgzzelzexzdjzbvzbhz`szZgzZqzXfzVmzVez\
TkzRexRgxPevPevNesNdqLdoLbmLbkJ`gJ`eJZdHZbHX`EXbHX\
ZJWXLXVNYRPZPR_NTZJVZHX`GZ`C``Ab`8db4eb2gb0ib0kd0m\
d0od0qd0sd0ve0xe0zg0zg0zi0zi0zk0zk0zm0zm0zo0zo0zL8\
zREzXJz`NxeTvkZsobougkxkizqezvbzzZzzXzzbzzgzzkzzqz\
zuzzzzzzzzzzzzzzzzzzzzzzzzxzzuzzqzzozzkzzgzzezzbzx\
ZzvXzsTzoPzeTzmNzuHzzCzz6zz2zz4zz6zz8vzAuzCqzCozEk\
zGizHgzJdzLbzLZzNXzPTzRRxTPxVLvVJvXGuZEu`Asb8dP0sb\
6zmCzxHzqLziNzbRzVTzNVzGZz8`z2bz4`z4Zx6Zs6Xm6Xg8Vb\
8VVATPATJARECR8CP2EP0EN0HL0EN0AN08N04N02N00dE0uR0z\
V0zX0zZ0z`0zb0zd0ze0zg0zi0zk0zm0zo0zq0zs0zu0zx0zv0\
zu0zs0zq0vo0om0ik0di0Zg0Re0Ld0Gb0A`02Z00X00X00V00T\
00R00R00P00N00L00L02J04H08G0AG0CE0GC0HA0JA0N80P60R\
60TA0TC0TE0TG0TH0TJ0TL0TN0TR0TVWTV0TXYTZ0T`ZTb0Td_\
TX2Nf`HLECga68P0hb00T0k`0 }
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=========================================
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