; Date: Tue, 01 May 2012 18:08:33 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 01-05-12 (Testing 1-2-3 [7]) ; Id: <1.5.4.16.20120501181128.2c3fefee@earthlink.net> ; --------- ; ; FOTD -- May 01, 2012 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; It's a new month and time for a new theme. To escape the rut of ; mathematical interest only, I have decided to make May the month ; of images with artistic value. And there is no formula I know ; of that creates images more artistic than those created by the ; workhorse MandAutoCritInZ. ; ; To lead off the month, we check the parent fractal that results ; when Z^(2.01) is subtracted from Z^2 and straight C is added on ; each iteration. Intuition says that this fractal will be little ; more than an oversized Mandelbrot set. Well, the fractal is ; oversized sure enough. A bailout radius of 1100 was neded to ; fit it all in, but the fractal is far from an everyday ; Mandelbrot set. ; ; This parent fractal actually resembles a Z^(2.5)+C Mandeloid far ; more than it resembles the classic M-set. In addition, it is ; rotated 180 degrees so that the side normally on the east lies ; on the west. Its East Valley has split into two well-defined ; valleys, with the area between filled with many discontinuities ; that call for exploration. Its main period-2 bud has sprouted ; two large sub-buds, each growing its own infinitely divided main ; spike. Today's image is located in the area of discontinuities ; between the two large sub-buds. ; ; The name "Testing 1-2-3" is what a sound man traditionally says ; to test the levels of his sound system. It came about when I ; saw myself setting up for an actual entire month of worthwhile ; fractals. The rating of a 7 that I gave today's image is not ; particularly outstanding, but I'm still not totally back into ; artistic mode. The ratings will (hopefully) increase as the ; month progresses. ; ; The calculation time of 1-2/3 minutes is a fair price for a ; fractal with a rating of a 7. And the web sites are always ; there for those who would rather miss the fun of calculation. ; ; The finished image is online at: ; ; ; ; A high-definition rendering is at: ; ; ; ; All the past images are at: ; ; ; ; Today brought a mix of clouds and sun to Fractal Central. The ; pleasant temperature of 77F 25C made the periods of clouds seem ; much more pleasant than they might have been. The fractal cat ; duo was very active, chasing each other up and down the hallway ; until Nicholas finally ran out of energy. ; ; The humans, who never chase each other up and down the hallway, ; had a more restful day doing routine things. The next FOTD will ; be posted soon. (I'll no longer mention 24 hours, since the ; time between postings is irregular, and has rarely if ever been ; exactly 24 hours.) Until next time, take care, and it looks ; like it might be fractals all the way down. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Testing_1-2-3 { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+21.50591668895752/-0.1715777757829369/\ 3.11306e+009/1/82.5/0 params=1/2/-1/2.01/1/1000/0/0 maxiter=1250 inside=0 logmap=114 periodicity=6 colors=000u7fr6eo7dlGZiSUdZOZdJTiDOm8No6Mm7Lj7Jf6I\ c6G_5FW5DS4CO4AK39G37E26B0590460340220000FpaEm_EkY\ DhWDfUCcSCaQB_OBXMAVKASJ9QH9NF8LD8JB7G97E76B5693ze\ 0vf1mb1hZ1cV1VQ1PM2LI2HF2DC2992qvznszkpzimzfkzdhza\ em_bhX`cVYcSVcQSUNQULNUIKUGHKDFKBC68948Y77P56G3Xqz\ VnzUlzSizRgzQezObzN`zMZvKWrJUmIShGPcFNZELUCIPBGKAE\ F8BA795psIilFbeDWZBQS8JL6CE4xj4uh3sf3qe3nc3la3j`3g\ Z3eX3cW3aU3ZS3XR3VP2SN2QM2OK2MI2JH2HF2FD2CC2AA2882\ 0sz1pw1nt1lq2in2gk2eh2be3`b3Z_3WX4UV4SS4PP4NM5LJ5I\ G5GD6EA6B7694sPnoNjkMghLcdJ`aIXYHUVGQRENNDJcCGcACc\ 99c85cGFcFEcFDcECcECcDBcDAcCAcC9cB8hP8hP7hP6hP6hP5\ hP4hP4hP3hP2hKZcKncKgcK`cKUcKNcKGcU9mY4mW3mU3mS3mQ\ 3mP3mN3mU3mU2mU2mU2mU2mU2mU2mU2mUmmUmmUmmcmmcmmcmm\ cmmcmmcmmcmmcmmcmmcmmcmmcmmcmzm6zm6zm5zm5zm5zm4zm4\ zm3zm3zm2zm2zmfzmczmazm_zmXzKzzJzzIzzHzzGzzFzzEzzD\ zzCzzBzzAzz9zz8zz_zzXzzVz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;