FOTD -- February 14, 2003 (Rating 6) Fractal visionaries and enthusiasts: Today's spectacularly colored image lies near the tip of the main filament of the fractal that is drawn by the MandelbrotBC1 formula when the real(p2) parameter is not changed from zero. This figure does not fit on the default screen, and the filament extends even farther beyond the border, to the north and west. Midgets of Mandeloids in the exponent range between 1 and 2, such as today's, have a curious characteristic that is well displayed in today's image. Parts of their shoreline form broad, gently sloping beaches, while other parts form sheer cliffs. The northern edges of today's midget are in the form of broad, flat, high-iteration beaches, which I have colored brilliant yellow. The southern edges form sheer cliffs, where the duller, low-iteration, outside material directly abuts the water. I named the image ""Beach and Cliffs" when I noticed the clarity of this contrast. This same beach-cliff effect also exists in the normal quadratic midgets, though it is far less noticeable. In quadratic midgets, the East Valley area represents the sheer cliffs, while the area where the main stem joins the main body of the midget represents the flat beaches, where the iteration count becomes very high, and images take a long time to render. Though the coloring of today's image is spectacularly intense, it was achieved with the aid of an additional graphics program, and therefore is artificial. Combined with the commonplace nature of the midget, this drops the rating from a 7 to the present 6, which is still a bit above average. The render time of 5-1/2 minutes on my 200mhz machine is just about proper for an image that rates just a little above average. The image may be seen faster by downloading it from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Before moving on to the all-unimportant weather, I must find what kind of a demand there will be for the much-heralded FOTD CD-ROM, so that I will know whether it will be worth the effort of having it mass-produced. (which I doubt) The disk is basically finished, and will contain every FOTD image from the start of the series in April 1997 to the end of December 2002, plus many earlier images and some extra controversial philosoph- ical discussions. I currently plan on selling the disks for 20 dollars. If you would purchase a disk at this price, drop me a letter at my mindspring e-mail address. Cold temperatures, clouds and biting winds prevailed all day Thursday here at Fractal Central. The temperature of 28F -2C was far too chilly for sensitive paws and whiskers, so the fractal duo spent the day indoors, wishing they could be more comfortable outside. Luckily, by the time evening arrived, the tuna had been restocked. The treat raised the duo's spirits notably. Today is starting cold again, and more snow is forecast for the week-end. I fear much more tuna will be required. I also fear that if I fail to start the day's tasks, I will never finish before the forecasted snowstorm arrives. (which they often never do) So until 24 hours from now, when the next glorious FOTD will appear, take care, and wait patiently. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Beach_and_Cliffs { ; time=0:05:30.37--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-1.590574411382/+4.488285640669/85143.9\ 2/1/17.7/0.0 params=1.414213562373/0/0/0 float=y maxiter=42000 inside=0 logmap=38 periodicity=10 colors=00060J00O00R00V00_00c00h00m00p00m00j00g00d0\ 0a00Z60WB2UH4SM6PV8McBHjDCrF7yH0uB0q60m00i00e00a00\ Y00U00Q02M08I0FJ0MO0SS0_X0e_0lc0rg0yl0zp0zu0zy0zz0\ zz0zw0zp0zg6raJcVVQMXXDXa6_e0_j0an0ar0aw0er0jp8nlH\ pjSuecyclz_wzXzzSzzQzzVzwXwn_pgaj_ccSeXJgSDj_FgeHe\ lJcrMayO_zQXzSXzQazOczMgzJjzHnzFpzDuzDwzBzz8zz6zz4\ zz2zz0zz0zz0zz0zz0zw0zr0zl0ze0za0zV0zO0zJ0zD0z60z2\ 0zB0zJ0zS0za0zj0zp0zy0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\ z2zz4zz6zz6zzDzwJzuQzpXwnaujgpgnlcugayeczXezOgzFgz\ 6_z0Sz0Jz0Dz06z08z0Bz0Dz0Fz0Hz0Hz0Hz0Jz0Jz0Jz0Jz0M\ z0Mz0Mz4Mz6OzBOzDOzHOzJVzXawggprnlzzgzzczz_zzXzzVz\ zSzzSzzQzzOzzOzzMzzMzzMyzMrzMlzMezJ_zOSzSMzXFza8ze\ 2zj0zn0zr2zw4zz6zz8zzBzzDzzFzzHzzJzzMzzOzzQzzSzzVz\ zXzz_zzazzczzezzgzzjzzlzznzznzzgzzczzXzzSzzOzzHzzD\ zz8zz2zz0zz0zz0zz4zz8zzDzzHzzMzzQzzVzz_zzczzgzzlzz\ pzzuzzyzzDzzwzz0zz0zz0zz0 } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================