; Date: Fri, 14 Feb 2003 09:53:05 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 14-02-03 (Beach and Cliffs [6]) ; Id: <1.5.4.16.20030214095618.29dfa18c@pop.mindspring.com> ; --------- ; 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: ; ; ; ; or from: ; ; ; ; 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 PARAMETER 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|