FOTD -- May 09, 2010 (Rating 10) Fractal visionaries and enthusiasts: For a brief moment on Saturday I thought today's FOTD image was the best I have ever produced. Even though the moment did not last, this earned the image a rating of a supercalifragilistic- expialidocious 10. At least IMO, what makes the image so good is its resemblance to an actual physical object. And why should this be so surpris- ing? Physical objects are made of atoms, and read any serious book on quantum theory and you will see that atoms are made of sub-atomic particles, which in turn are mere mental models best described in the abstract language of mathematics. Both the real world and the world of fractals are made of numbers! With the exponent of Z being 2.5, one would expect the image to be filled with discontinuities. And actually, it is. But the discontinuities are arranged in so orderly a manner that they are barely noticeable. I have no idea why the central minibrot is purely quadratic in nature however. One would expect a mini- brot at such a depth to be of order-2.5. The name "Just beyond Infinity" means nothing. It merely has a kind of sci-fi feeling to it. The calculation time of 6-3/4 minutes is cheap for such a worthy image, and those who run the included parameter file will be well rewarded. This leaves only those with over-qualified compu- ters stricken with dosophobia, who may view the already calcula- ted image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Saturday brought high winds accompanied by tortured clouds and afternoon showers of rain to Fractal Central. The day began with sun and a summer-like temperature of 68F 20C, but by mid afternoon it had fallen to 50F 10C and the wind gusts were near 50mph 80kph. The fractal cats showed little concern about the outdoor conditions. My day was uneventful. The next FOTD, for all it is worth, will be posted in 24 hours. Until then, take care, and physicists tell us that substantial physical objects are made of the activities of non-substantial atoms, while neurologists say that non-sunstantial thought is made of the activities of substantial physical neurons. Would the real reality please stand up? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= JustBeyondInfinity { ; time=0:06:43.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.749591043614323/+0.0000449504726666/\ 1e+12/1/-55/0 params=2.5/25000/0/0 float=y inside=0 maxiter=4600 logmap=716 mathtolerance=0.05/1 colors=000UViUVhUVgUVfUVeUUeUUeTUeRUePUeMUdKTcISaG\ R_EQYCPWBOU9NS7NS6NP9PTBRVEUXGYZIaaLfcPjfUnfZrgcvg\ hzhnyhtymzxvzxzvwzrwzmvzhvzcszZpzUmzQjzNgzKdzMazPZ\ zRWWTTXUVYUWZUX_UY`UZaU_bU`cUadUbeVadVadWacWacW`bX\ `bX`aX`aY_a__`a_`c__eZ_gZZiZZkZZm`ZpaZsbZvdZzeZzfZ\ wfZufZtfYsgXrgWqgVphUohTnhSmiRmiQmjPmjOmkNmkMmgKmc\ JmZHmVGmREmNDmRHmVLmZOmbSkfWijZcnbUrfKui2pg3lf3he4\ dd5`c5Xb6Ta6P`HS_SU_aXZlZZv`Zs_WpZUmZSjYQgYNeXLU_Y\ NWQGSJ9PCNcX_qpmYczFRqJThMU_PWSTXJWZAZ_2a`2Sd2Ig0R\ LSwAQp9Oi8Nb7LW6JP5II4GB3F53K47P3BU2FZ1J_1M_AKXIJ`\ PFeVCi`8nf5zj2uf7sYBqQGqIKqAPq3TgAUZGUQNUHTU8ZULTW\ M_YNeZOl`PraPzbNpWLiQJaJHVDzN6zG0zUDzcPaOaiQmqSysg\ jtkXpm`mediXgfPkbGn_8rX0uaJdfaPbYL_XIXYFTZBQ_8Na5K\ c2Re9XgFbiL_kOYnQWqSUtVSwXQzZMz`Izazzczzdzzfzzgzzg\ zzgzzhzzmzzrzzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================