; Date: Thu, 25 Mar 2004 10:22:33 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 25-03-04 (Somber Snowflake [6]) ; Id: <1.5.4.16.20040325102537.0d772af8@pop.mindspring.com> ; --------- ; ; FOTD -- March 25, 2004 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal pictures a quadratic midget. There is nothing ; unusual in having a quadratic midget at the center of the ; screen. Most of my images have them. But this midget is ; strange indeed. By their nature, quadratic midgets are ; surrounded by symmetrically spaced elements that continually ; split in two as they approach the midget. The first indicator ; of a midget is the presence of two symmetrical elements that ; split into four similar but smaller elements. This splitting ; continues in the series 2,4,8,16,32... as the elements approach ; the midget. ; ; We now can see what is wrong with today's midget, which I have ; named "Somber Snowflake". I gave the image this name because ; the pattern surrounding the midget is shaped quite like a dark ; snowflake with a green aura. But snowflakes have six sides, and ; the number 6 is not part of the 2,4,8,16... series. ; ; Something has gone wrong. Some other series has infected the ; quadratic series, and this infection will become only worse as ; the exploration of the Z^3+x(Z^4) fractals continues in the days ; to come. ; ; Though it is on the dreary side, today's image rates a 6, which ; is just a little above average. The render time is a speedy ; 2-1/2 minutes, which results in an overall value of 233. ; ; The pre-rendered GIF image is available on the FOTD web site at: ; ; ; ; With sun and a temperature of 61F 16C, Wednesday was a rather ; pleasant day here at Fractal Central. Thomas, the oversized ; orange, spent several hours in the yard. Tippy, the lean wiry ; tabby, passed the day sleeping on his window shelf. Since ; 14-year-old cats do little but sleep, it was hard to tell if ; Tippy did not feel good. In the evening all appeared well when ; the tuna treat vanished as it should. This morning is starting ; with clearing skies and warmer temperatures. I expect a good ; day for the duo. ; ; As for me, being not quite as old on the human scale as the cats ; are on the cat scale, I still enjoy an occasional bit of the ; unusual, but it appears it will be another in a seemingly ; unending stream of normal days, with the exception of a new ; fractal at the end. Until tomorrow, take care, and fractals are ; never boring. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Somber_Snowflake { ; time=0:02:34.39--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.54195976260355410/+0.002250716455883\ 61/127978.5/1/-52/1.42828571886299827e-009 params=1/3/0.357/4/0/0 float=y maxiter=1000 inside=0 logmap=37 periodicity=10 colors=000NMfONgPOhQPiRQjSRkTSlSTmRUnRVmQWlPYkP_j`\ kf_mcZr`YvXWyUUzRTyOQtQNoSLjTIeVG`WCXT9TR6PP3LN0IL\ SXIrjFg_GYPHOEIE3JD9ICEHBJHBPGAUG9ZF9cFH`COZAVX7aU\ 5hS2oQ0lV6iZCfbIcfOajUenVjqXnuZrx_pubnrdlofjlhhijf\ fldcnb`p`Yr_UoZRmYNjXKhWHfVDcUAaU7_W9`YAa_BbaCcbDd\ dEefFfhHgjIhkJimKjoLkqMlsNmtOnpMhmKbjIYgHSdFMaDHZB\ BWA6YD5ZF5_H5`J5aM4cO4dQ4eS4fV3gX3iZ3j`3kc2le2mg2n\ i2jk9fmFboMZqSVsZRudX2hR3fM3eG3dB3cJA_QHXXOTdVQkaM\ rhJynGvqNttTrwZpudamfOcgQcbRcZScVTcRRcQQePPgOOiOMk\ NLmMKoLJqLcsJYuLSvNMwPHxREyRBzR8zR5zRlzujzmizfhz_f\ zTezMdzFcz8azD_zIYzMWzRUzWSz_Yzebzkgzqlzwszvyzvwzk\ uzaszSrzIjzUczegzfjzgmzgpzhszhgziWzjKzjUzkczlmzmvz\ mpzfkz`fzUazOXzHSzBNz5IzQEzjDzjDzjDzjDzjDzjIziNzgS\ zfXzeazdazeazfazgazgazhaziazjazjazkazlazl`zp_zsZzv\ YzyXztXzoXzkXzfXzaXzYXzTXzOXzKVzIUzHTzGSzFQzDPzCOz\ BNzALz8Kz7Jz6Iz5Hz4Iz9JzD } 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 PARAMETER FILE================================== ;