FOTD -- April 11, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image has a rating of a question mark. Since the image is the first of its kind, there is nothing with which to compare it that would determine its worth. In fact, the object at the center might not even be an object at all. Even though it has a vague Mandelbrot shape, it certainly is not a minibrot. Maybe it's nothing more than a near-circular grouping of eight pink almost-fractal trees. But as the colors show, something is dif- ferent inside the circle of pink trees. On each iteration the generating expression subtracts 1.08 parts of Z^(-1.3) from 0.72 part of Z^(-2.2) then adds (1/C) to create a humdrum fractal with little to note. This parent fractal is a sprawling thing consisting of two partially merged main bays with a chunk of chaos in the middle. Today's image is located in a very tiny valley inside a tiny bay on the west side of this chaotic chunk. At this point, words fail me. The name "Puzzled Predicament" indicates my loss for words. Since I am out of words, the best way to view the source of the wordlessness is either to run the included parameter file or visit the FOTD web site at: <http://www.Nahee.com/FOTD/> to see the finished image there. Saturday brought near normal early spring conditions to Fractal Central. The fractal cats would have preferred the temperature of 63F 17C to have been a few degrees warmer, but they seemed pretty much satisfied with things the way they actually were. The cloudless sky pleased the humans in the area, especially FL, who started work on her 2010 garden. My day was about average for a Saturday; Sunday should be a con- tinuation -- that is unless an unexpected antiquing expedition comes up. If no expedition arises, the next FOTD will be posted in 24 hours, otherwise it will appear in 48 hours. Until when- ever, take care, and the first step to finding a solution is to thoroughly understand the problem. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= PuzzledPredicament { ; time=0:01:46.92-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-1.669522262876/+0.0000241354613/149822\ /1/-32.5/0 params=0.72/-2.2/-1.08/-1.3/0/2/0/0 maxiter=1750 inside=255 logmap=100 periodicity=6 colors=000MH9NHAOHCPHDQHFRHGSHITHJUHIVHIWHIXHIYHIZ\ HI_HIYIIVJITKHQLHOMHLNHJOHGPHEQJBRL9SN7TR8UU9XXA_Z\ Bb`CeeDhiEkmFmpGlqGlpGkoGklGklGj`GjZHjXHiVHiTHiRHh\ PHhSHhQKeONbMQ_HTXCWU2YS0`P0cM0fJ0iG0kE0nB0q80t50w\ 25y25v28s2Bq2En2Gk2Ji2Mf2Pc2Ra2UZ2XW2_U2aR2dO2gM2j\ J2lG2oE2rB2u92wD3sH3pK4lO4iR5eV5bY6Za6Wd7Sh7Pk7Mj`\ Oi5PnSQg4Rf4Se3Td3Uc2Vb2Wa2X`fi_2ZZUmY2`X2aW2bV2cU\ 2dzc_m4WR8RzKzPEJQzIRCHSBHTAGU9GV8FV7FW6EX5EY4Dz3D\ _2CzzCY2BX2BW2BV2BU2AT2ASzAR2AP2AO29N29M29L29K29z2\ 8I28z28F28E28D27C27B27A27927B28D28F28G39I39K49M5AN\ 5AP6AR6BT7BU7BW8CY9C_9CbB9aC8aC7aC7rhzwczrhzwczrhz\ wczsgzsMzsMzsMzcMzcMzcMzcMzcMzcMzsgzxbztfzyaztfzya\ ztfzyaztfzyaztfzyaztfzyazuezz`zuezz`zuezz`zuezz`zu\ ezz`zuezz`zvdzz_zvdzz_zvdzz_zv_wv_wv_wv_wv_wv_wwZw\ vZwt_wr_wp`wo`wmawkawibwhcwmczmdzmdzmezmezmfzmgzmg\ zmhzmhzmizmizmjzmkzNkzmoz } 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=========================================