; Date: Fri, 11 May 2007 21:54:00 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-05-07 (Apparition Root [6]) ; Id: <1.5.4.16.20070511215820.2d375d7a@pop.mindspring.com> ; --------- ; ; FOTD -- May 12, 2007 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is found rather deep in a valley on the southwest ; shoreline of the S-shaped main bay of the parent fractal that ; results when the formula Z^sqrt(2)+C is iterated 130 levels up ; the logarithmic ladder. ; ; The image is unusually rich for one found in a fractal created ; by an exponent of Z between 1 and 2. Usually fractals in this ; range hold far fewer spirals and much less intricate detail. ; ; Except for the brilliant blue inside fill, the image was ; rendered in the traditional equal-iteration-bands manner. All ; the excitement is due to the fractal itself and not to any human ; manipulation. ; ; I named the image "Apparition Root" for no obvious reason. Then ; I rated it at a 6, which seems about right. The calculation ; time of 14 odd minutes may be avoided by visiting the FOTD web ; site at: ; ; ; ; and viewing the image there. ; ; Friday began with dense fog here at Fractal Central, but by 9am ; the sun had done its work, and the rest of the day was perfect, ; with sunny skies, gentle winds and a temperature of 81F 27C. ; The fractal cats passed a good part of the day sitting in the ; window, watching the world go by. The rest of the time they ; spent chasing each other up and down the hallway. ; ; My day was busier than normal, but not extremely so. The next ; FOTD will appear in 24 hours. Until then, take care, and be at ; one with fun. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Apparition_Root { ; time=0:14:22.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.26354287579943400/-0.456797947395005\ 10/7.112779e+008/1/-75/3.7304841097131336e-005 params=1.4142/0/130/0 float=y maxiter=14500 inside=255 logmap=1110 periodicity=10 colors=000F_PGrOIpNJmMKkLMhJNeIPcHQ`GRZFT_HU`JVaLW\ bNXcPYcRZdT_eV`fXagZbg`chbdidecefdgaihhjjijjj`ff_f\ nVklfgkdfibehXeePdeTddVdbTdaRc`QcZJcYOcXNbRMbQKbSI\ bRGaQEaOCaNAaMA`KA`JA`HA`GAZFAZDAYCAXBAU9AT8AR6AQ5\ AO49O28O17O06O17N17N27O28O38P38P49O49P59Q59Q6AR6AS\ 7AQ7BP8BO8BN9BM9CMACKACKBDJBDICDHCDHDCIECIFCIGCIHC\ IICJJCJKCJLCJMCJNCJOCKPCKQCKRCKSCKTCLUCLVCLWCLXCLX\ CLWEMVFNVGOUHPUJPTKQTLRSMSRNTRPTQQUQRVPSWPUWOVXOWY\ NXZMY_M__L``LaaKbbPdbUecZfdcgechfcjfckgmmhzrizwiwr\ eCmaBhY9bV8_R7XN5UK4RG3OC2L9HTKV_Uhfcvmmli`cfPVbDM\ _1NZ2OZ2PZ2PZ3QZ3RZ3SZ4SZ4TZ4UZ4VZ5VZ5WZ5XZ6XZ6YZ6\ ZZ7cZ7hZ7mZ7rZ8sZ8tZ8uZ9vZ9wZ9zZAw_AuaAscAqeBogCmi\ CkkDikEglEemFcmGanG_nHYlHXkIWhJVgJUgKUhLThLSiMRjMQ\ jNPkOOkOOlPNmQMmQLnRKnSJoSIpTHpTHqUGqVFrVErWDsXCtX\ BtYAuYAuZ9v_8w_7w`6xa5xa4yb4ybMtZNsYNrYNqYNpYOoYOn\ YOmYOlYPkYPjYHrQFuRDxRpzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-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|