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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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|<a } END PARAMETER FILE========================================= </HTML>