FOTD -- June 24, 2002 (Rating 6) Fractal visionaries and enthusiasts: When I checked my e-mail box a few minutes ago, I found among the 22 junk letters four letters that told me I had 'opted in' to something or other, two letters that were a 'reply to my inquiry', and two letters that had bounced back because I had sent them to a bad address. Curiously enough, I have no memory of 'opting in' to anything or 'making an inquiry' about anything or sending any letters to any invalid addresses. All of these letters had a line saying something like 'if this letter has reached you in error'. The puzzle of the day is why such a line needs to be included in letters that I supposedly have asked to receive. Does the sender have reason to suspect that he actually *is* sending the letter in error? If so, then the letter with the misleading subject is not an error but a deliberate effort to sell something to me. Most of these letters have no chance to succeed, particularly with me, since I have no desire to get a bogus diploma or consolidate my debts or increase my size, (I'm already a bit overweight). In addition, many of the letters are in <html> format and I have my e-mail reader set to display <html> coding as text, which makes the over-designed letters virtually impossible to read and destined for immediate consignment to the trash bin. Now that I've got that off my chest, I see that we have a fractal to at least acknowledge. The image is that of another Mandelbrot midget. This one is just different enough to make it worth the position of honor as FOTD for June 24. The parent fractal was created when I iterated the unusually simple even for me formula (Z^3)+0.357(Z^4)+C. I named the image "Green Scene". The name is purely descriptive, and based on the strong green coloring which appears in the image. The rating of 6 has become normal since the FOTD slipped to its temporary every-three-days schedule. The render time of 10 minutes can be cut by 3/4 by downloading the GIF image from Paul's web site: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Sunday here at Fractal Central featured a bit too much of a good thing. The sun was a bit too hot, the air a bit too still, the humidity a bit too high, the ground a bit too dry, and the temperature of 91F 33C a bit too warm for cat comfort. The cats in question, after a few minutes outdoors, chose to spend the day in the indoor air conditioning. Which is where I'll spend most of today while I tend to the things that need to be done. Until next time, on the 27th, take care, and always try to separate truth from fiction. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Green_Scene { ; time=0:10:28.40--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.50637533704881520/+0.000758454262473\ 48/8.225209e+010/1/80.0208434512356774/-0.02262412\ 96535609898 params=1/3/0.357/4/0/0 float=y maxiter=1600 inside=0 logmap=218 periodicity=10 colors=000AFKGJREWfCgvWAsYDq_FoaImbKkdMifPhhRfiTdk\ WbmY`o`_pbYrdWtgUviSwkRjRSiLTfBUdCScCQbCPaDN_DMZDK\ YEIXEHVEFUGETICSKBQMAPOAOQAMS9LU9KW9IY8H_8Ga8Gc7Ge\ 7Gg7Gi7Gk6Gl6Gn6Gp6Gr5Gt5Gu5Gt5BrYDpXEnXGlWHjWJhWK\ gVMeVNcVOaUQ_URZTTXTUVTWTSXRSYQSZRQ_RP`SNaSMdTLgTJ\ jUImUGoVFqVEoTEmRElQEjOEhNEgLEeJEcIEbGE_FEYDEWBETA\ EQ8EQ7EUBDXEC`ICbLBdPBfSAgWAhZ9jb9ke8lh8mi7nj6oj6o\ k5pk5ql4rl4rm3sm3tn2un2uo1vo1wp0wp0cgJKZa1Rt8NoEKk\ KHgQEbWBZa8V`7W`7X_7Y_7Z_7_Z7_Z7`Z7aY7bY7cX7cX7dX7\ eW7fW7gW7gR8hM9iIAjDBk8Cl4CmAHmGMmLRmRWmW_madmfiml\ nmqrmmjZibKeW5``BWdHRhNMlTHpYGoWGoUFnTFnREmQEmODlM\ DlLCkJCkIBjGBjFAhG9gG8fG8dH7cH6bH5aH5_I4ZI3YI3XI4Y\ K5ZM6_O7`P7`R8aT9bVAcWBdYBd_CeaDfbEgdFhfFhgHffJgfL\ ifNkePmeRoeTqeVsdXudZwd`xdbycdzcfzchzcUzSFzHIzILzJ\ NzKQzLSzMVzNXzN_zOazPdzQfzRizSkzSnzRqzQtzPwzOyzOoz\ QfzRYzTOzUFzW6zXGzRGzRGzR } frm:MandelbrotMix4 {; 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, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================