; Date: Wed, 15 May 2013 17:43:22 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 15-05-13 (Crystal Cities [M-4,A-6]) ; Id: <1.5.4.16.20130515174319.0d8767d4@earthlink.net> ; --------- ; ; FOTD -- May 15, 2013 (Rating M-4,A-6) ; ; Fractal visionaries and enthusiasts: ; ; In today's image we take a brief break from hyperland and check ; the parent fractal that results when the formula Z^(1.37)+C is ; iterated 1.37 levels up the hyperladder with no function ; applied. This parent appears as a shapeless main bay with an ; equally large and shapeless period-2 bud attached to the ; northwest side. Today's image is located in a twisting filament ; just inland of the eastern shore line of the parent's main bay. ; ; I named the image "Crystal Cities" for no apparent reason. ; ; The math interest rates a rather boring 4, the artistic worth, a ; not much better 6. ; ; The calculation time of a mere 45 seconds will remove some of the ; disappointment if the image lays an egg. ; ; The finished image should be posted on the official web site at: ; ; ; ; but the host site has been having problems and has been hard to ; access lately. It might be down. If it is down, check the ; hi-def version of the image at Hal's site at: ; ; ; ; Hopefully, his site is up to date: ; ; Regardless, the back images are online at: ; ; ; ; A rather pleasant day passed virtually un-noticed today here at ; Fractal Central, with ample sun and a temperature of 75F 24C. ; The fractal cat enjoyed the few beams of sunlight that managed ; to sneak into F.C. (We get little inside sunlight during the ; high-sun-angle time of year.) The humans made the best of ; things. ; ; The next FOTD will be posted in a matter of hours. How many ; hours is yet to be determined. Until whenever, take care, and ; get hot under the collar about climate-change-global-warming. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Crystal_Cities { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.80267755/+0.71031711/117.094/1/65/0 params=1.37/0/1.37/0 float=y maxiter=16000 inside=0 outside=tdis logmap=28 periodicity=6 colors=000zJnzEozAsz6uz2wy6ys9zlCzfCz7CcUCcOCcJCcD\ Cc9CcKCcRCY`CHdC4_C1OA0E20500000200605A0AE0GJ0MP0R\ U0Y_0cd0li0so0yq0wq0wq1wq5wqAwqEwqLwqPwsUus`usfusn\ ussuszuszuszuUgfRidOn`Lo_HsWEwTCyR9zO6zM4zJ1zH2zG4\ yG5uG6oG6lE7fE9bEAYEAUE7YG6`G5dH2gH1lJ0oJ0sL0wL0zM\ 0zM0yL1sL4nL7gLCbLEYLJTJMOJRJJWEJ_AJd6Jg4JlADoH9sP\ 5wY1zf0zo0zw0uy0lz0bz0Uz0Mz0Ez07z0Az0Dy0Eu0Hq0Ln0M\ l0Pg2Td5U`6YY9`WCbTDfPGiMJlJLoHOsERuCTy9Wz6_z`GzdG\ zfGzgGziGzlGznGzoGzqGzsGzuGzzHzwGzuEzsEzqDznDzlCyi\ CwgAwd9ub9s`7sb7qd6of6og5ng4lg4lg2ig2gq1lq0gq1fq2b\ q4`q4_q5Wq6Uz6Tz7Pz9Oz9MzAJzCHzCGzDDzECzGAzG7zH6zJ\ 5zJ2zL1zM0zM0zO0zP0zT0zR0zP0zO2zM6zLAzLEzJHzHMzGRz\ EWzE`zDfzClzAqz9wzAuz9uz7uz7uz6sz5sz5sz4sz2qz2qz1q\ z0qz0oz0oz0oz0oz0nz0nz0nz0nz0lz0lz0lz0iz0lz0lz0nz0\ nz0oz0oz0qz0qz0sz0sz0uz0uz0uz0qz0oz0nz1lz6izAgzGlz\ MzzHzzHzzHzzHzzHzzGzzGzzG } 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|