; Date: Sun, 05 Jan 2014 20:30:36 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 05-01-14 (Herringbone Filters [A-6,M-6]) ; Id: <1.5.4.16.20140105203102.2bb7f6ca@earthlink.net> ; --------- ; ; FOTD -- January 05, 2014 (Rating A-6,M-6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is found in the everyday parent fractal that ; results when the formula Z^(2.001)+C is iterated 4.7 levels up ; the hyperladder with no function applied. This parent is a ; near-Mandelbrot set rotated 180 degrees so that East Valley ; falls on the negative X-axis, and the main spike, where even ; more action is happening, lies on the positive X-axis. ; ; Today we focus our attention on East Valley, which instead of ; coming to a sharp point, has been broadened into a wedge ; infested with sickle-shaped debris. Today's scene lies in this ; debris. ; ; The coloring is rather chaotic, and both the art and math tricks ; have been seen before, which holds the ratings of both of them ; to a routine 6. ; ; The name "Herringbone Filters" has nothing to do with the field ; of TV repair. It came to mind when something in the scene ; reminded me of herringbones. ; ; Most of the coloring effect was produced by rendering the scene ; with the outside set to 'tdis'. Other options produce different ; effects, some of which have potential. ; ; The calculation time of a dragging 11-1/2 minutes will pass ; slowly even for the most devout fractal fans. But relief is ; always at hand on the web sites. ; ; To view the image without calculating it, check the FOTD web ; sites at: ; ; ; ; ; ; ; ; ; ; The morning was sunny here at Fractal Central today. But clouds ; moved in by noon and by mid-afternoon freezing rain was falling, ; with a temperature of 28F -2C. The fractal cats were too busy ; chasing each other up and down the hallway and tussling to worry ; themselves with the weather. The fractal humans were simply ; glad there was no reason to go out. ; ; The next FOTD will be posted in a matter of minutes, which will ; also be a matter of seconds, hours, weeks, months or years, ; depending on how time is measured. To find the exact numbers, ; check back at regular intervals. Until whenever, take care, and ; a local eight-year-old boy was recently asked what was the best ; thing that happened to him in 2013. He replied it was when he ; got his mini I-pad for Christmas. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= HerringboneFilters { ; time=0:11:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-0.2521599928326848/-0.0019727729038808\ /2.614896e+009/1/-40/0 params=2.001/0/4.7/0 float=y maxiter=8600 inside=0 outside=tdis periodicity=6 colors=000sfqsivb`pMTj5Le7Oa9RYBUUDWQFZMHaIIcFDfM9\ iS3ubFlgRdkbWpnOtiKndHi`EdWA_S7VN4QJ1LN8OQFQTMSWTU\ __XbfZem`hsbkocmlcoidqfdscdu`ewYeyVehWlSXrCYxLSoTM\ faGYcAP88HUAJ10K02D03MD0NB6O94PA0M54J0AG0AD52A0AC0\ 5E25G55I5Th64eCFaHQYN`VckRmuOrq_lccckcUieKffAdhqvz\ ipjakaUfTM`KEMB7R28W39U3Ad3Ah3Bl4zz4Du4Dy4Lx9TwEzw\ JgvOhtQyzzjpUknWllYmj_zhaogbjhceid`jeWjfRkgMlhHmiD\ miIfiM`iQUiUOiYHiaBie5izAjzEkXJlUNmRSnOWoKdYHwbDgh\ Awm6es3cx9xtFeqLxnRxjXxgbmdhm`nmYtmVymSwmWvsZuqaso\ drlhqjkohnnfqmdtkeqiengfkffihdhicgjbfkaem`dnZcoYbp\ XarW`sV_tTZuSYwRXxQWyPVzOUwQRuROrTLpUInVFkXCiY9`lG\ `lG_lG_lGZlFZlFYlFYlFYmFXmEXmEWmEWmEVmDVmDUmDUmDTm\ DTmCSmCSmCRmCRmCQmBQmBPmBPmBPmBQlCQlCRlCRlDRkDSkDS\ kDTkETkETjEUjEUjFUjFVjFViFWiGWiGWiGXhGXhHXhHYhHYhH\ ZgIZgIZgI_gI_gJ_fJ`fJ`fJafKafKaeKbeLbeLceLcdLcdMdd\ MddMddMecNecNfcNfcNfcOgbO } 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|