|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: When we see an escape radius of one googol in a fractal with only negative powers of Z, we know that the image shows an 'evaporated' fractal. Today's image has an escape radius of one googol and the powers of Z are -1.5 and -5.5. Therefore, the image is 'evaporated'. Evaporated fractals consist of only 'inside' stuff. All points are trapped. When rendered in the normal equal-iteration-band manner, an 'evaporated' fractal will not be a fractal at all. It will be a blank screen. But apply an active 'inside' fill to that blank screen and watch what happens. I rendered today's image with the inside set to 'bof61', which colors the points according to the number of the iteration that takes the points closest to the origin. The result is an image that rates a 6. The parent fractal consists of 4 bays, many fractal rings, and a prominent 'fan'. Today's scene is located in the interior of the fan. After a bit of meditation, I named the image "The Edges of Infinity". And why not? It's hardly possible to get closer to infinity than the googol that the points in today's fractal are allowed to wander. (Yes, I realize that 10100 is no closer to infinity than just plain 10.) The render time of 2 minutes is true on the new fractal-dedicated computer -- a 2000mhz P4 unit. On the old P1-200mhz the image would have taken around 12 minutes, which is still within reason. Even more reasonable is the FOTD web site, where the completed image is posted for easy viewing. The web site may be accessed at: Another perfect day passed unappreciated by the fractal cats here at Fractal Central on Wednesday. They were totally unconcerned with the sunny skies, light winds and high temperature of 84F 29C. They did concern themselves with their evening treats however. My day was unexpectedly busy, but the job was a small one and was finished by the middle of the afternoon. Tomorrow will likely be the same. The next FOTD will appear in 24 hours. Until then, take care, and the light is right. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
TheEdgesOfInfinity { ; time=0:02:07--SF5 on a P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+1.537981778375796/+0.06779821367610976\
/3.416741e+010/1/147.5/-0.0575485351264499873
params=-5.5/-1.5/-1.5/-5.5/0/1e+100/0/0 maxiter=1600
float=y inside=bof61 periodicity=10
colors=000XaYTbVPcSLdPHeMDfKLaRTYX`UbhPhpLnxHtrIpm\
JlgKibLeYMaSNZNOVIOSJNTKNULMVMMWNMXOLYPLZQL_RK`SKa\
SKaRN_QQZPTXOWWNZUNaTMdRLgQKjOJmNIpLIrKJjRJcXKXbKQ\
hLJnLCtL5zUJtbXnkjhtwcusduodvldvheweewaexYfxVfyRfy\
OgzKgzHgwGhtGiqFjnFjmIklKkkMkYOUiQkVSXgUkPRTeZkd`k\
cbkbdkafk`hk_jkZlkWihUfeScbQa_OZXMWVKTSIRPGOMELJCJ\
HIPFOUDU_B_d9ei7ko5qt3vy1mx5dx9WxDNxHExL6xOAyLDyIG\
yFJyCHkNFYXHRWIKVJDUK6TLAYMEaNHeOLiPPmQSqRWuSZytTl\
tEvmSpgekmI9fLA`OBVRCPUCJXDD_E7bEEeGLhHSjJZmKepMkr\
N_kOPeOEZO3TOmWDdZHWaLOdPFgT7iWwGndQTbJMaDF_68Z02V\
59S9FPDLLIRIMXFQb9bS4oIBpLIqNPrQWrSbsUitXpuZvu`sn_\
qh_ob_lX_jR_hL_fF_iYpeNmI8xNCwSGvWBzXKvXTrYananhYi\
kVdmS_oOVqLQsHOwILuJJtJHsKFrLCqLApM8oH1mM6nQAnVFnZ\
JncOogSolXot_vp`ol`hi`ae`Va`OdZBZ`ITaOObUUc__deedk\
keqvazpewkhtfkqannXqlVogUmcSl_RjVPiROgNOkHNfJNbKNY\
LNUMMQNMLOMHPOEPMDQdZc`_` }
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=========================================
|
times.
