Fractal of the Day (FotD) by Jim Muth

FOTD -- February 27, 2009 (No Rating)

Fractal visionaries and enthusiasts:

With the work still piled up, there's little time for fractals. So let's get right to today's image.

The scene lies on the main spike of the fractal that results when 0.6 part of Z^(-5.6) is subtracted from 6 parts of Z^(-1.6) and (1/C) is added. I'll not even try to describe this parent fractal, but it can be seen easily enough by redoing today's image at a magnitude of 0.3 and turning off the logmap.

Since I put only a couple minutes into the image, I gave it no rating. The name "Rings Around Mandy" has little significance. And the very fast calculation time of 1-1/4 minutes will cause no one any difficulty.

An even simpler way to see the image is to go to the FOTD web site at:

http://home.att.net/~Paul.N.Lee/FotD/FotD.html

where it is posted in completed form.

A veil of clouds that dimmed the sun did not dim the fractal cats' spirits here at Fractal Central on Thursday, as the temperature of 50F 10C made up for the weak sun. My day was very busy. I guess I should be thankful, but I would rather have had things a bit quieter. I'll post the next FOTD in 24 hours. Until then, take care, and if you can't be positively negative, be negatively positive.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE======================================= Rings_Around_Mandy { ; time=0:01:14.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.288637588535473/0/3.18068e+011/1/180 params=6/-1.6/-0.6/-5.6/0/300/0/0 float=y inside=0 symmetry=xaxis periodicity=10 mathtolerance=0.05/1 logmap=138 maxiter=1500 colors=000NKD006IJE926GHGBLGABBfmcYaVQQNHEEtr_nkWh\ dSbZOXSLRLHLFDF89vaKlUHbNETGBJ98p7Sm6Qj6Pg6Ne5Mb5L\ _5JX4IV4HS4FP3EM3CK3BH2AE28B27zduyaquZmpWilTegQacN\ YZKUVHQQEMMBIfccgddgedgfeggfggfeigcjgblh`mh_nhZkgZ\ ifZgeZedYccYabY_aYY`YW__YXa_VbaSdcQedOgfLihJjjGllE\ mmCojDphDqfDrdDtbDu`DvZDwXDyVDzTDzRDzPDzNDuSHnWKg_\ N_dRThUMlXRnWVoVZpUbqUfrTktSouSsvRwwQzxQuQctTfrXiq\ _lpbooerpfjqgcrhXrhQsbUtYYuT`uOdvJgwEkw9noBkgCi_Dg\ SEeKFcLLfMQhNWjO`lPfoQkqRqsRvuPupOtkMtfLsaKsXMnUNi\ SPdQQ`OSWLTRJVMHWIF`REe_EjhEnpEilppomvrjghpXWXNJET\ MJZONdQRjSVpU_vWczYgz_kzZfzZbzYZxYVuXQsXMqWIoWElZL\ j`ShcYeedchkajq`QV_69R5KI5VA5dCBfDGgEMiFRjHXlIamJg\ oKlpIplHshFveEyaDzZTtThmNwfIycLz`OzYRzVUzSXzP_zMbz\ KevQ`iVXX_T_YVbWXdUYgS_jQalPbhPZdPV`PRXPNTPJQPGYQK\ eQNlQRtQUzQYzQ`zT_wWZqYYl`XfbW`eVWgVOjVHlVAnVKfQTZ\ LaSGbUFcVEcWDdXCeYBeZB`XC } 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=========================================