|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's fractal continues the same approach as yesterday's -- mixing portions of (Z) and (1/Z). In today's case however, there is a difference. Instead of exactly Z and 1/Z, we subtract some Z^(0.97) from some Z^(-1.15) before adding (1/C). The parent fractal consists of a Mandeloid so distorted that its parts are virtually unrecognizable. It also has a smooth-edged eye-shaped open area extending to the east. Part of the Mandel figure is obscured behind a circular disk at its origin, but a rudimentary valley barely escapes being obscured. Today's scene is located in a cut-off thread of chaos that lies in the northwest branch of this valley. A fitting name for today's image eluded me. There are many themes that could be emphasized. After studying the scene for several minutes, I noticed the eight-armed cross, which could be taken as two four-armed crosses, and named the picture "Criss-cross Midget". It's another above average image, but the rating of 7 falls short of yesterday's superior 9. Unfortunately, today's parameter file takes 44 minutes to render -- at least on my tired 200mhz Pentium machine. A better way of seeing the scene is to give Paul and Scott a chance to render it from the parameter file and download the GIF image from their web sites at: The fractal weather today here at Fractal Central proved ideal. After a frosty start, the warm sun boosted the temperature to 63F 17C, and brought out the fractal cats for a romp in the yard. They somehow managed to keep out of trouble for an entire day. As for me, I'm about ready to start another day's work. With any luck, I'll finish early and have time to find another 9-rated fractal. If not a 9, a 5 or 6 image will do. Until next time, take care, and search for truth wherever it may be found. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Criss-cross_Midget { ; time=0:44:43.00--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.08314704524001394/+0.131224272955765\
10/1.411807e+010/1/64.9999880445045193/1.014667755\
64301726e-006 params=0.8/-1.15/-0.9/0.97/0.185/0
float=y maxiter=12000 inside=0 logmap=580
colors=000K5PL5RM5UO5WP5ZQ5`R5cT5eU5hWFjPPdGZY9hRJ\
_LTTFaLAkD4u50z00z00x20u33s46p5An6Dk8GhAKeBMcDQ`EU\
ZFWWG_UIcRJeUJcWJaYJ`_J_`JZcJYdJW`I_YIaUIeQIhMIjJG\
nFGpBGs8Gv4Gy0Gz2Kx2Ou3Qq3Uo4Wk4_i5ae5ec5i_6kY6oU8\
qR8uO9xL9zI9zF8yI6tK5pM5kP4hR3cU2_W2VZ0Q`0Mc0Ie0Eh\
09j05l00o00q03n69kDFhILeORaUY__cWdiUjoQpuOuzLtxOtu\
QtsRspUsnVskYsi_qh`qecqcdq`fpZipWjpUlpTnoThnTcnTZl\
TUkTOkTJjTEjT9VVTGYk2_z9YuGVkMUaTT`YT_cT_hTZnRYsRY\
yRWzRWzWTx_PtdLqhIokEkpAit6fx3as4Yo5Tk5Oh6Kd6F_8AW\
95T90PA0LA5KEDJILILTIO`GRhFVpEZxE`qJYlOVhTRcYPY`LT\
eJOjFJoDEsADqEBpIIoLOnPUlT_lVeoakqhqsnxutzxzzyzzvz\
zuzxszqqzkpzenz_lyUkxOjvIkuFluEntBosApq9qp8sp8tj8u\
e8v`8xW8yR8zL8zG8zB8z68z29z69zAAzEAzJAzMBzQBzUBzZD\
zaDzeDziEzjFzjGzkIzkJzlKzlLznMznOzoPzoQzpRzpRzpTzk\
UzfVzaWzZZz_`z_cz_ez_hz`iz`kz`nz`pzaszauzavzalzjdz\
qWzzOzzWzudzdcziaznazq`zv
}
frm:MandelbrotMix4 {; 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,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
