; Date: Mon, 05 Oct 2009 19:31:52 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 05-10-09 (The Forever Valley [No rating]) ; Id: <1.5.4.16.20091005193445.2a6fb21c@pop.mindspring.com> ; --------- ; ; FOTD -- October 05, 2009 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Yes, I know that today's FOTD is late, but I have an alibi. On ; Sunday FL was bitten by the antiquing bug, which sent us on a ; trip to an antique emporium in Bellefonte, which is 2 miles ; northeast of the geographic center of the state of Pennsylvania. ; Actually I'm glad we went. I found a 35-year-old 35mm SLR film ; camera in perfect working condition, offered for sale at $15. ; Film cameras are pretty much a thing of the past, but how could ; I resist such a bargain. The camera cost $250.00 new in 1974. ; ; Today's image lies in the fractal that results when the formula ; Z^1.5+C is calculated 16 levels down the logarithmic hyperladder ; and no function is applied. ; ; The parent fractal is shaped much like the minibrot at the ; center of today's image. The scene is located rather deep in a ; valley leading to a bud on the shore line of the main period-2 ; bud of the parent. ; ; Having put so little effort into the image, I was unable to give ; it a real rating, but considering the muddiness, a rating of a 5 ; would be about right. ; ; The name "The Forever Valley" is a poetic phrase. It has little ; connection with the actual appearance of the image. The calcula- ; tion time of 6-1/3 minutes is brief enough to keep doubts of the ; worth of the calculation at bay. And those who do not consider ; fractal calculation to be their cup of tea, may view the image ; effortlessly on the FOTD web site at: ; ; ; ; The weather here at Fractal Central on Sunday was a bit too ; cloudy for absolute perfection, but there were enough periods of ; strong sun to keep the fractal cats satisfied. My day was ; unexpectedly pleasing. The next FOTD is due to be posted in 8 ; hours. It might make it; it might not. Check then to find out. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Forever_Valley { ; time=0:06:20.58-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.762519089/+1.109746278/5982/1/45/0 params=1.5/0/-16/0 float=y maxiter=16000 inside=0 logmap=-312 periodicity=10 colors=000P6DS9ITCNUFSVIWVHUXGSVFRTEPRDOOCMMBLKBJI\ AIG9GD8FB7D96C75A559HBESHIcMMzKQzYUzcVzmVzhWzcWzUX\ pUXnTYmTYkSZjSZgR_eR_bQ`_Q`UMaTJbSGcRDdQ9eQ6fP3gN0\ hK3UK6GKBNKFTKJZSNeKRzDVzCQzBMzAHz9Dz88S74N76O78P7\ AQ7CR7DS7FT7HU7JV7KW7MX7OY7QZ7R_6QX6PU5OS5NP5MN4MK\ 4LI4KF3JD3IA3I8BNEJRKRWQZ_Wfc`eeYegVdiSdkzcmzcoKbq\ HbsEbuC`zD_nzzzzzgzzzzV`zTYzSVzRREPOEOKENHELEEKAEJ\ 7EI4ECQN6kW8lYAlZCl_El`GlaIlbKlcMldOleQlfSlgUlhWli\ Ylj_lk`llckmejngjojipliqnhrqhssgtugtoioijkclgYmbTo\ ZNpVHrQBsM5uI0vE2pF3jF4dG5ZG6TH7NH8HH7b`6xtCrnHmiN\ hdSbZYYUbTP__QXfRUmSStTUqSVnRWkRXhQYfQZcP_`P`YOaWO\ ZYQXZSU`USaWPcYNdZLf`IgbGidDjfBlh9mi9nh9oh9og9pg9q\ g9qf9rf9sf9se9te9ue9ud9vd9zd8z`7zz7zz6zz6zz5zz5zzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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|