; Date: Wed, 07 Sep 2011 20:59:33 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 07-09-11 (Emerald Anxiety [7]) ; Id: <1.5.4.16.20110907205932.10f74b38@pop.earthlink.net> ; --------- ; ; FOTD -- September 07, 2011 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the East Valley of the large minibrot on ; the main stem of its parent Mandeloid. Nothing unusual in that. ; But in today's case, the Mandeloid is not the classic Mandelbrot ; set; it is the figure that results when the expression ; Z^(2.15)+C is iterated 9 levels up the hyperladder. ; ; The parent fractal resembles a Mandelbrot set rotated so that ; its main spike faces northwest instead of west. The southern ; lobe of its main bay is also grossly swollen, though this ; peculiarity has no significance in today's image. The shape of ; the minibrot at the center of the image closely resembles the ; shape of its parent. ; ; The pattern around the minibrot in the image gives the ; impression it lies close to the cut-off point of its parent. ; But such is not the case. The scene actually lies quite close ; to a discontinuity. These breaks sometimes act as cut-off ; points. ; ; The rating of a 7 is FOTD average. The name "Emerald Anxiety" ; refers to the emerald coloring of the scene. The word 'anxiety' ; was added for artistic reasons. The calculation time of just ; over 1-1/2 minutes is pleasantly brief. ; ; The completely calculated image is posted on the official FOTD ; web site at: ; ; ; ; It is posted in glorious high definition at: ; ; ; ; The venerable original web site may be accessed at: ; ; ; ; Heavy rain with embedded torrential thunder-storms prevailed all ; day today here at Fractal Central. As of the 5pm post time, ; about 10 inches or 25cm of rain has fallen, and it is still ; coming. The fractal cats wondered what all the water is about. ; The fractal sump pump is doing its job, but the floor is still ; covered with puddles. The humans had a day of checking for new ; leaks, of which several appeared. The next FOTD will be posted ; in 24 hours. Until then, take care, and the local farmers ; prayed for rain during June and July, and now that the Deity has ; answered their prayers, they are praying for the rain to stop. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Emerald_Anxiety { ; time=0:01:37.44-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip center-mag=-0.9395175176009618/+1.332146256656035/\ 3.199834e+009/1/155/0 params=2.15/0/9/0 float=y maxiter=5000 inside=0 periodicity=6 colors=000x5bV_eRV_NRVJMQFILBDF79A345RVgwkxmcmcWcU\ OUKGKA8AtDTlBPe9LZ8IS6EL4AE37713O`KCIAcoAXf8QY6KQ5\ DH3681K5_D3O61C0B8096075064043s2JqVHpwGeZDAAADDDFF\ FIIILLLPPPUUUZZZccchhhmmmrrrwwwzzzswlptfmqajnXgkRd\ hMbgHWSRQC_M`fIxmOrgUlbZfYd`TjVOoPJuJEzD9aPED`JATF\ 1837MB5E7273alwPWcCGKe`clDlO6OfAxW7hL5UA2FAN55B2GN\ D8B6OgaK_VGTPCMJ8EC4766q35k24c23U12K11A0hUgbP`WLVP\ HPJCIC8C5462n_1PIxAEc69K344gR3XK2MD1B62wD1c80K4zSl\ rOejL_bHUVEONAIF7C736cFuQAaD5JeYlVP_LHOA8ClVgOFMyA\ ep8_g7UZ5OQ4IH2C816N0SB0EG__DUUBPP9KK6FF4AA255`wdI\ UK_ezV_wRVqMQjILdDFY9AS45QoR2ObwKWmGQcCJU8DK46AIiw\ 1jM0ZG0NB0B5FgCAT85E4dLWRELD7AmBfz5LzlqzORzc`zaGzu\ 5zT2zxCzk9z_7zO4zC2z1uz0kz0az0Tz0Jz09zqTzjPzcLzXIz\ REzKAzD7z63zEKznWzcPzUJzKCzA6U2oU1bU1Qc0DcUWcOPcIJ\ cCCm66`VRRNKzFDz76zTwzNkzH_UBOU5CUZhUUbUQXULSUHMUD\ GU8BU45UDoU9bU6QU3DUUCUF6 } 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|