; Date: Thu, 06 Jun 2002 11:26:53 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 06-06-02 (Stems [6]) ; Id: <1.5.4.16.20020606112658.2b676064@pop.mindspring.com> ; --------- ; FOTD -- June 06, 2002 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Take four lines with a length of -1 meter and arrange them as ; the sides of a square. The result is a square with an area of ; one square meter and four sides that measure one meter less than ; nothing. This is not only getting something from nothing; it is ; getting something from less than nothing. ; ; Then take six of these square meters with sides less than zero ; and arrange them as the sides of a cube. The result is a cube ; with a volume of one cubic meter less than nothing. I shall not ; attempt to describe this incredible beast, but I shall note that ; if eight of these weird cubes were arranged as the cells of a ; 4-D hypercube, that unimaginable object would have a hypervolume ; of 1 quartic meter more than nothing. ; ; This situation is mathematically correct, though I have yet to ; see a line with a length of -1 meter. It simply shows that much ; mathematics extends far beyond the everyday world in which we ; live. ; ; I have also never seen a real-life fractal, though I have seen ; hundreds of thousands of pictures of fractals. Today's image ; simply adds one more fractal picture to the ever-growing list. ; ; The image is a scene in the fractal created by the formula ; (Z^3)+0.4(Z^5)+C. I named it "Stems" because of the sprawling ; stem-like features surrounding the midget at the center. Like ; so many other recent FOTD images, today's image rates a nominal ; 6. The render time of 2 minutes makes running the parameter ; file not too great a task. And as always, the GIF file of the ; completed image is available on Paul's web site at: ; ; ; ; and on Scott's site at: ; ; ; ; The fractal weather Wednesday was very warm and muggy, with a ; temperature of 92F 33C and humidity to match. In the late ; afternoon a very noisy thunder-storm developed, which sent the ; dynamic duo of fractal cats scurrying for cover. They stayed ; out of sight until hunger brought them into the open around ; nightfall. ; ; As for myself, as is normally the case, I've got too much work ; to do and too little time in which to do it. The remedy for ; such a situation is to get busy and resume productive activity. ; So until Sunday June 9, take care, and be of good humor. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Stems { ; time=0:02:48.18--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=ident passes=1 center-mag=+0.54332395099606500/+0.517188441425538\ 80/1.244136e+010/1/-67.5000495545287009/7.69023680\ 009528476e-005 params=1/3/0.4/5/0/0/0/0 float=y maxiter=300 inside=0 logmap=49 periodicity=10 colors=000HfuHcqH`lHYhHVcHS_HPVHNTHLRHIQKFPNHNQKNT\ NOWQQZTR`XSg`RmeQtkPzpOykQygRxcTx_UxWWwSXwPZvL_vIa\ vFbuCdu9et6gt3ht0ip8fmGdiOafW_cbYbaZa`Z`_Z___ZZ_ZY\ _YX`XX`WW`VVaUUaUUaYYY`aVcdRfhOjlKmoHpsDsvAmwFgxJa\ xOWySRyWDlT0_R6ZMCZHHYDNY8SY4TZBT_HT_NT`UU`_UaeUal\ UbrUbxVcrWclXcgYcaZcX_cR`cMacGacBiiDqoFyuGwpFulFsh\ FqdFo`FnXFlTFjPFhLFfHFeDF`KKWRPSXUNcZJibGk`DmZBoY8\ qW6rV9pXCoYEn_Hl`JkbMjcPheRgfUfhWdiZckablc`nf_ohZp\ jVqlRrnOrpKsqHsrFprEnsDlsCjtAht9fu8cu7av5_v4Yw3Ww2\ Uw1SuNHth7ti9tjBtkCtlEtmFtnHtoItoKtpMtqNtrPtsQttSt\ uTtvVtxWhzaYzfNzkCzpRzbezPtzBrzDqzEpzFozGnzHlzIkzJ\ jzKizLhzMgzPfzRfzTezVezXdzZdz`czcczebzgbziazkazm`z\ o`zqYzjVzdSzYPzSMzMJzFGz9Dz3Fz8GzCIzHJzLLzQMzUOzZP\ zbRzgSzkTzoVzkWzgYzcZz`VzaRzbNzcJzdFzeBzf7zg3zgGz`\ TzVezPdzQdzRdzSazQ_zOXzNVzLSzKQzIOzHLzFJzDGzCEzABz\ 99z77z6FzHNzSVzaWzROzhHzz } frm:MandelbrotMix2 {; 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================================== ; ;