; Date: Tue, 23 Nov 2010 19:40:32 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-11-10 (Busy-body Blueness [5]) ; Id: <1.5.4.16.20101123194029.10e75bae@pop.mindspring.com> ; --------- ; ; FOTD -- November 24, 2010 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; As I said in yesterday's FOTD, I have grown bored with the odd ; slices of the Julibrot, and have decided to return to the old ; familiar routine images a week early. ; ; Today's image lies in a remote valley of the strange parent ; fractal that results when the formula Z^sqrt(2)+C is iterated ; 41.3 levels up the complex logarithmic ladded with no function ; applied. ; ; The minibrot at the center is a square-root-of-2 thing. With ; exponents of Z in this range, parent fractals and their mini- ; brots can take any shape whatever, which is not surprising, ; since the complex logarithm is multi-valued. ; ; The name "Busy-body Blueness" is one of the most unjustified I ; can remember. Very few blue tints are in the image, which is ; more of a sickly olive-green and orange than anything else. I ; have no idea what the 'busybody' is supposed to refer to. ; ; The rating of a 5 might have been higher if I had put a bit more ; effort into the coloring. ; ; The calculation time of 5-1/4 minutes is asking a bit much from ; the casual viewer to see a 5-rated image, but those who decline ; to view it will never know what they have missed. ; ; Running the included parameter file may not be necessary. The ; finished image is likely posted on the FOTD web site at: ; ; ; ; Clouds prevailed all day Tuesday here at Fractal Central, but ; they broke in the west just before sunset, leading to a spectac- ; ular light show. The temperature reached a pleasant 57F 14C. ; The fractal cats took things easy until late afternoon, when ; they began agitating for food. ; ; My day was a very boring average, but then who needs excitement ; all the time. The next FOTD will be posted in 24 hours. Until ; then, take care, and the fractals will keep coming until the ; supply is exhausted. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Busy-body_Blueness { ; time=0:05:14.45-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.09186130753/+1.498879230002/2387775/\ 1/110/0 params=1.4142/0/41.3/0 float=y maxiter=8400 inside=0 logmap=362 periodicity=6 colors=000qPLqPLqPMqPNqPOqPPqPPpPQpPRpPSpPSpPTpPUp\ PVpPVoQWoRXoSYoTYoUZoV_oW`oXboY`mZ_k_Yh`XfaWdbUacT\ _dRYeQVfPTfNReMOdKMcJJdJKcILcHLbGMbFMaFN`ENZDOYCOX\ CPdBPcAQa9Q`9RZ8RY7vW6vV6vU5vS4vR3vP3vO2sM1pL0mK0j\ M2gN4dO6aP8ZQAXRCYSEYTGYUHYVJYWLYYNYZPZ_RZ`TZaVZbW\ ZcYZd__ea_fc_ge_ig_ji_kj_ll`mn`np`or`pt`qv`rx`sy_q\ wZpvZouYnsYmrXlqXkoWinVhmVgkUfjUeiTdgTcfSaeR`dR_bQ\ ZaQY`PXZPWYOUXNTVNSUMRTMQRLPQLOPKMOJKMJILIGKIEIHCH\ HBGG9EF8DF7CE6AE59D48D37E58F78FA9GC9HE9HHAIIAIJAJL\ BKMBKNBLPCLQCMRCNTDNUDOVDOXEPYEQZEQ`FRaFRbFQ`KQ_UP\ ZcPXjOWcOVUNUKNSCMRCMQCLOCLLBKJBKHBJFBJDAICAIBAIBA\ HD9GF8GI8FK7FL6EO6EQ5DS4CV4CW3BY2Be2Af1Ag1lh2li3lj\ 4lk5ll6lm7ln8lo9qpAqqBqrCqsDqtEquFqvGqwHqxIqyJqzKq\ zLqzMvzNvzOvzPvzQvzRvzSvzTvzUzzVzzWzzXzzYzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|