; Date: Tue, 22 Apr 2008 19:05:30 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 23-04-08 (Very Dark Shadows [7]) ; ; Id: <1.5.4.16.20080422190809.2bbfa686@pop.mindspring.com> ; --------- ; ; FOTD -- April 23, 2008 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's lively fractal is infested with dark shadows, which is ; why I named it "Very Dark Shadows". The name has nothing to do ; with an old TV series, which is the only soap-operaish program I ; ever actually got interested in. It merely refers to the gloomy ; appearance of the image, which is entirely of my making. ; ; The parent fractal came about when I iterated the formula ; Z^(2.005)+C at a level one step up the infinitely-valued loga- ; rithmic ladder, with the 'conj' function applied. This function ; is probably totally wrong, but what the heck, it makes an inter- ; esting image, consisting of a near-normal Mandelbrot set rotated ; so that the period-4 bud on the southern shore of the main bay ; intersects the negative X-axis, which is where all the action ; lies. ; ; There is an anomalously large minibrot in this area, and today's ; scene is located in the East Valley of this minibrot. I might ; have made the image a lot brighter, but being in a kind of down ; mood despite the bright weather, I let it go with the depressed ; feeling created by the dark areas. At the end, I rated it at a ; 7. ; ; The calculation time of 13 minutes is slow, but nothing that any ; fractalist has never seen before. And the wait may be elimina- ; ted by going to the FOTD web site at: ; ; ; ; and viewing the finished image there. ; ; They say that Pennsylvania had the best weather in the nation ; for our election on Tuesday. Being located in the center of the ; state, Fractal Central enjoyed the best day so far this spring. ; The blue skies, puffy white clouds, temperature of 73F 23C and ; lack of airplane contrails could hardly be beat. Being uninter- ; ested in politics, the fractal cats merely enjoyed the sun. ; ; My day was average; tomorrow looks to be the same. The next ; FOTD will be posted right here in 24 hours. Until then, take ; care, and even the most rational-thinking scientists admit that ; miracles are real. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Very_Dark_Shadows { ; time=0:13:18.46-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=conj passes=1 center-mag=-0.659994386833905/-0.0400706991520263/\ 4.475544e+011/1/-58.3/0 params=2.005/0/1/0 float=y maxiter=7500 inside=0 logmap=1270 periodicity=10 mathtolerance=0.05/1 colors=000TKUTKUTKUTKUTKUTKUTKUTKUTKUTKUTKUTJUTIUT\ IUTJUTJUTJUTJUTKUTLUTMUTNUTNUSOSPPRMQQJQPGROESNCTM\ BTLCUMCVNCVOCWPCXQCXRCYSCZTCZUC_VC`WC`XDaXDaYDbZDc\ _Dc`DdaDebDecDfdDgeGgfKhgPewUhzZkzcnzhqzmtzrwzvzzz\ rzvrzrrzmrvhrrcrmZrhWrcUrZWrUZrV`rWcrXfvVetWerXeqY\ eoZen_dl`dk`diadhbdfccddccecafc`fcZgbYhbWibVjbTkbS\ k_QiYPhWOfUMeSLdQKbOIaMH`JGZHFYFDXDCVBBU99T78R57Q1\ 3Q36P49P5CP7FP8HP9KPBNPCQPDTPEVPFVQFVQFVRFVRGVSGVS\ GVSGVTHVTHVUHVUHVUGUTGTSGSRGSRFRQFQP000FKOFONEOMEN\ M84C8CFEGKDKJDKIDEHDIHCIGCHFCGFCGECFDBECBECBDBBCAE\ 68C99BCAAFB8IC7KC6ND4QE3TFKUFHUF2VF3WE3XDzXCzrB5ZB\ 5UA5U96U86U77U77Q68_58b49b08c48d78eB7fE7gI7hL6rP6i\ S6jW5kZ5lb5me5mh6mi7mj8mk9mlAmmBmnCmoDmpEnqForGpsH\ qtIruJsvJtvIuuIvuHwvLxwPyxUzyZzzczzhzzmzzrzzvzzzzz\ 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|