FOTD -- February 06, 2003 (Rating 5) Fractal visionaries and enthusiasts: Somewhere in the world, today is Waitangi day. I have no idea where it is celebrated or what a waitangi is. I assume that by mentioning a waitangi, I am not offending any ethnic group and thereby violating the rules of political correctness. So to all for whom it has significance, Happy Waitangi Day, or if the day is celebrated in the far east where the date has already passed, Happy Belated Waitangi Day. Today's fractal is named "Hairybrot". I gave it this name when, after studying the image for several minutes, half closing my eyes and all that kind of stuff, I could see nothing but a fractal pattern with porcupine-like hairs sticking out of it. The parent fractal is the same as yesterday's, with the slight exception that I changed the portion of Z^3.5 from 3.67 to 3.7. Today's scene lies in the suburbs of a larger midget in the East Valley area of a small Mandelbrot set that lies just beyond the southern point of the shapeless main bay of the parent. Like yesterday's image, today's image features disconnected elements, which normally indicate a non-critical area. But fractals don't seem to care about what is normal, and despite the surface appearance, the tiny midget is there at the center in all its unseen glory. I included the mathtolerance entry in the parameter file because the magnitude of the image is so great that it might otherwise render incorrectly. The rating of an average 5 reflects my current feelings about the image. Others may consider the image worth a higher or lower rating. The render time of 9 minutes can be avoided by downloading the pre-rendered GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Wednesday passed uneventfully here at Fractal Central. The dynamic fractal cats did not complain too loudly, though it was obvious that they would have preferred a temperature quite a bit warmer than the high of 34F 1C. At the end of the day I rewarded them for their patience with a treat of tuna. Today is starting just as cold, with clouds moving in and a threat of snow. If the duo have any plans at all of going outside, they had best do it early. My immediate plans involve finishing the work and finding a fractal for tomorrow's FOTD that would be above average. And this isn't Lake Wobegon, where every child is above average. This is the 'real' world, where only half of any distribution can be above average (more correctly, above the median). Until tomorrow, take care, and, unless it is politically incorrect, search for that waitangi. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Hairybrot { ; time=0:09:15.13--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.02872664355981464/-0.580735855227059\ 2/1.307901e+012/1/-42.5/0.00257131772770670397 params=3.7/3.5/3.7/5.5/0/0 float=y maxiter=600 inside=0 logmap=190 mathtolerance=/1 periodicity=10 colors=000nP8oQ7pR6qS6rT5rU5sV4tW4uX3vY3vZ2w_2x`1y\ a1zb0zb0tZ1oW2jT3eQ4`N5WK6QH7LE8GB9B8A65B12C67FABH\ EFJIJLMNOQRQUVSYZUabXefZij`mnbplWrjQthKvfDxd7zc1ue\ 5pg8qcCr_FsWJsSMtNQtMUuLYuKau8et9isAhsAfrBeqBcqCbp\ C`pD_oEZnEXnFWmFUlGTlGRkHQkHPhLNeOMbSK`VJYZIVaGTeF\ QhDNlCLoBJnCInCGnCFmCEmCCmCBmCAlC8lC7lC6kC4kC3kC2k\ C4jG5iJ7iM8hPAhSBgVCgYGd`JabMZePWgSUjVRlYOo`LqcItf\ GvdHtbIraJp_KnYLmXMkVNiTOgSPeQQdORbNS`LTZJUXIUWJTS\ JSOJRLKQHKQEKPALO7LN3LN0OM2QM3SM4UM5XL7ZL8`L9bLAJK\ mOKiSKeXKa`KYdPUiOQmIMrDIv8Ez3BrBDkJFdRHXSJQTLJUNC\ UPJUMPUJVUG`LDfBAl28j7BiBEhFHgJKeNNdRQcVTbZWabZbc`\ bdabdcbedbffbfgbgibgjchkcimcincjpckqckrclscltYhuTe\ vObwJ_xEXy9Uz4RzCKzPEzT7zU1zW3zY4z_5za6zc7ze8zg9zi\ CzkFzmIzoLzqNzsQzuTzwWzxZzz`zzYzzVzzTzzVzzXzzYzz_z\ z`zzbzzczzezzfzzczzazzZzzXzzUzzSzzPzzNzzKzzIzzFzzD\ zzUzz_zzBzzCzzDzzEzzFzzGz } 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==================================