; Date: Thu, 14 Nov 2002 09:13:56 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 14-11-02 (Four Corners [7]) ; Id: <1.5.4.16.20021114091552.2aaf2e6e@pop.mindspring.com> ; --------- ; FOTD -- November 14, 2002 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal is unusual in that it contains flat, nearly ; featureless areas surrounded by areas of total chaos. The flat ; areas are of more interest, since many hold midgets at their ; centers. Today's image shows one of these flat areas, with its ; midget sitting proudly at its center. ; ; To emphasize the difference between the chaotic and flat areas, ; I have given the scene a color palette that highlights the flat ; areas. The largest flat area, which surrounds the midget at the ; center, has four well-defined spirals at its corners, thus the ; name "Four Corners". The other obvious flat areas in the image ; appear to also have midgets at their centers, but I have not yet ; checked these. ; ; The parent fractal was created by combining some Z^(-2.1) with a ; lesser amount of Z^(-8.9), and adding (1/C). The exact portions ; were chosen at random with the program's evolver feature. ; ; The parent's shape resembles a clover-leaf, with no immediately ; apparent critical areas. But sometimes things can be critical ; where least expected, and today's parent is a fine example of ; this always-enjoyable phenomenon. A trip back up to the surface ; of the parent fractal will reveal how unlikely the existence of ; today's midget would seem to be when seen from the surface. And ; some other interesting things will be seen on the way, including ; a tiny, most unlikely bud, in the valley of which today's scene ; is located. ; ; Not wanting to under-rate myself, I rated today's image at an ; above-average 7. Yes, I realize that if every image is rated at ; a 6 or 7, then the standard for an average image will increase ; until the typical image once again rates a perfectly average 5. ; But that is a consideration for the future. ; ; The render time of 24 minutes is slow. The download of the ; completed GIF image file is fast. The download can be found at: ; ; ; ; and at: ; ; ; ; The weather here at F.C. on Wednesday was cloudy, breezy and ; chilly, with light rain in the morning. The wet grass and ; temperature of 50F 10C kept the fractal cats pretty much ; house bound, but they accepted their confinement with only a ; modicum of displeasure. ; ; Today is starting sunny, and it is due to be warmer. The cats ; should have a better day. My day will improve when the work is ; finished and I have had time to settle down to read the latest ; issue of "Skeptical Inquirer" magazine, which I picked up last ; evening. In it I see an article which, at first glance, appears ; to state that psychokinesis (mind-over-matter) has been con- ; firmed by the rational scientific method that skeptics place so ; much faith in. The article then tries to escape the rational ; conclusion by stating that something must be wrong with the ; standard scientific method of doing statistics. ; ; I haven't read the entire article yet, but if it in fact claims ; what it appeared to claim when I skimmed it, I'll have much to ; philosophize and be cynical about in the near future. If the ; standard statistical method could lead to a wrong conclusion ; about psychokinesis, how many other currently accepted statisti- ; cal proofs could also be in error? On the other hand, if psycho- ; kinesis is true, how many other 'paranormal' things could also ; be true? Things could be getting interesting. (Or perhaps I ; got the wrong impression when I skimmed the article.) ; ; Until next time and next FOTD, take care, and though skeptics ; doubt the existence of a non-material world beyond the senses, ; why do they still fear that it might exist? (One thing for ; certain is that the non-material world of fractals does exist.) ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Four_Corners { ; time=0:24:20.96--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.300621681407275/-0.6277892275393613/\ 2140275/1/7.5/-1.3143590944786343e-008 params=4.64\ /-2.1/0.77/-8.9/0/525 float=y maxiter=3600 inside=0 logmap=362 periodicity=10 colors=000TAGVBFYBE_CDbDCdEBfFBiGAkH9nI8pJ7sK6uL5w\ L5xM7xN8xO9xPAxQBxRCxSDyTFyUGyVHyWIyXJyYKyZLy_Mz`O\ zaPzbQzcRzdSzeTzfUzfVyc`xdfwelvfrugnthjsigrjcqk_pl\ XorTnpQmyfgmvkulmlbmnTnkJnh9mf8le8ld8kc8kb8j`8i_8i\ Z7hY7hX7gW7fU7fT7eS7eR6dQ6cO6cN6bM6bL6aK6aJ6`I8`HA\ `GB_FD_EE_DG_CHZBJZAKZ9MZ8NY7PY6QY5SY4TX3VX2WX1YX1\ ZW2_W3_V4_V5_V6_U7_U8_U9`TA`TB`TC`SD`SE`SF`RF`QE`P\ E`OE`ND`ND_MC_LC_KC_JB_IB_HAZGAZFAZE9ZD9ZD9ZH8WK7U\ N6UR5UU4UU3UU3UU3UU3UU3UU5UU6UU7UU9SUPOUBLSPIQEFOF\ CPHDQRDRJERTESLFTMFUNGUTGVPHWUHXRIXSIYUJZVJ_WK_WK`\ XLaYLbZMb_MdaLfdLhgLjiLllKnnKmmKmkKigUihcfcmc`t`Yy\ YVvVStVPqWMoXNlYQjZTg_We`Zbaa`bdYcgWdjTemRfpOgsMhv\ JiyHfiIcUJ`EKYHNVKQSNTPQWMTZKWaHZdEagBdj8gm5jp3mrI\ fnW`kiVhwPerSanVYjYVf`RbbO_dQYeSWfUUgWShYQi_OjaLkc\ JleHmgFmiDmkBmm9moBmqDmsFmuHmvImwKmxMmyOmzPmzOmzNm\ zMmzLmzLmzKmzJmzMmzOmzQmz } 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================================== ; ;