; Date: Tue, 01 Nov 2005 10:16:16 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 01-11-05 (Diamond in the Rough [5) ; Id: <1.5.4.16.20051101101749.29ef2174@pop.mindspring.com> ; --------- ; ; FOTD -- November 01, 2005 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows a squared Mandelbrot midget. Yes, I know ; that the Mandelbrot set results from squaring Z, but today's ; unlikely formula squares the entire Mandelbrot set. ; ; More correctly, the formula scrunches and stretches the set. ; And it changes the entire set into a diamond shape, along with ; its midgets. It wreaks total havoc with the normally placid ; iteration bands. ; ; Today's image shows one of the midgets deep in East Valley of ; the large midget on the negative stem of the parent M-set, which ; itself has been changed into a diamond. To add a bit of depth, ; I rendered the image with the outside set to 'tdis'. ; ; As for the formula itself. It was not written by me, and I have ; no idea what the original author was trying to do. I named the ; image "Diamond in the Rough", and rated it at an average 5. I ; could not rate it higher because too little effort was put into ; adding diamond-like sparkle. ; ; The name is a bit misleading, as diamonds in the rough have an ; irregular shape. They do not take on the typical diamond shape ; until they have been carefully cut by a master craftsman, which ; is one reason why they are so costly. ; ; The fractal diamond's almost non-existent sparkle may be seen by ; running the attached parameter file and waiting a few minutes, ; or by downloading the finished GIF image from the FOTD web site ; at: ; ; ; ; The sunny 73F 23C weather on Monday was perfectly perfect here ; at Fractal Central. The cats were near perfectly happy. I ; cannot claim absolute happiness for the cats because who knows ; what goes on in a cat's mind. But with the work under control, ; my day was satisfactory. Today is starting the same as yester- ; day. I expect good things. Until tomorrow, when the next FOTD ; appears, take care. The Halloween hauntings have ended; the ; saints have arrived. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= DiamondInTheRough { ; time=0:08:47.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=C4G passes=1 center-mag=-1.74996259251\ 672100/0/7.855169e+008/0.7484 params=1/0.8 float=y maxiter=16000 inside=0 outside=tdis symmetry=xaxis periodicity=10 colors=000Lj`Ji_IhYHgWFfVEeTCdRBcPAbO8aM7`K6_J4ZH3\ YF2YE4XF6XG7WG9WHAVHCVIDVIFUJGUJITKKTLLSLNSMOSMQRN\ RRNTQOUQOWQPWPPXPQZORYORZNSYNSZNTYMT_MU`LUbLVcKWcL\ VbMUaNT_NSZORYPRWQQXQPYROYSNYTMYTMYULWVKWVJVWITXHS\ YHRYGQZFO_EN`DM`CKaCJbBIcAGc9Fd8Ee7Cf5De7Ed8FcAGbB\ HaCH`EI_FJZGKYILXJLXKMWMNVNOUOPTQPSRQRSRQUXmLVlKUk\ KTjKRiKQhJPgJOfJMeJLdJKcIIbIHaIG`IF`II_JK_JN_JP_KS\ _KU_KW_KZZL`ZLcZLeZMhZMjZMlZMAKS9JR9IR8IQ7HQ7GP6GP\ 5FO5EO4EN3DN2EM3DN3CN3CN3BO3BO4AO4AP49P49P48Q58Q57\ Q57R56R56R65S65S64S64T63T63TA5UD7UG8UJAUMCUPDUSFVV\ GVYIV`KVcLVfNVgOViOVVTBUWETYHS_KScLRaMQ_NPYOOXPNVQ\ NTQMRRLQSKOTJMUIKVMEUIJVEOWATX3_V7XYBU_FSbJPdNNgRK\ iVHkZFnbCpfAsj7uo4yn5wm5ul6sl6qk7pj7ni8li8jh9hg9gf\ AefAceBadB_cCZcCXbDVaDT`ER`EQ_FOZFMYGKYGKYGJZJMZMP\ ZPRZSUZVW__Z_da_hc_mf_rh`vkmzzmyzmxzmwzhvwcutZtqXs\ pWrnUqlTpkSoiQngPmeNldMkb } frm:C4G {; p1 is (plus or minus) 1 or i x=real(pixel), y=imag(pixel)*p1 a=b=0: a1 = a^2-p1^2*b^2 b1 = 2*a*b a=a1+x, b=b1+y z = sqrt(a^2 + b^2) z < 4 } ; END PARAMETER FILE========================================= ; ;