FOTD -- November 10, 2002 (Rating 5) Fractal visionaries and enthusiasts: Take one negative portion of Z^(-8.5), add to it eight negative portions of Z^(-1.5), then add (1/C), iterate one-thousand times and display a critical plane. What do you get? You get the parent fractal of today's image. This parent is beyond verbal description. It is filled with a larger variety of fractal features than a fractal cat has tricks. Basically, this fractal is a large multi-lobed Mandeloid surrounded by scattered smaller disconnected Mandeloids. Today's image is located near the tip of a filament extending from a bud of the northernmost bay of the main Mandeloid. The filament itself has a curiously jagged nature. This jaggedness is reflected in the filaments surrounding the midget in today's image. The whole image appears to have a case of the jaggies, which inspired (if it can be called inspiration) the name "The Jaggies". There is also a vaguely sinister and threatening aura about the image, which creates a feeling of unease suitable for the design of a cover for a paperback horror novel. The image is of average quality; I rated it at a 5. The render time of 6 minutes is a bit slow for a merely average image. A download of the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> is the better choice. As a brief off-topic comment, I have noticed the nature of sounds being discussed on the Fractint list recently. The question arose of what is the shortest sound duration in which a definite pitch or frequency can be discerned. The question has been tossed around a bit, but to my knowledge no one has yet mentioned the reverberation aspect. A sound must have a duration of at least one cycle (hertz) for the concept of frequency to make sense. But even a sound burst of one cycle will produce reverberations lasting many cycles. It is these reverberations that give the effect of pitch to sounds such as the tapping of a pencil on a desk. The ear tends to ignore these reverberations and notice only the initial impact, but if the tapping is recorded on tape and played backward, the importance of the reverberations to the perceived sound of the tapping is immediately obvious. The closest we can come to a sound without reverberation is an electronically produced and recorded sound heard through an earphone headset, but even here, the ear and headset itself create some echo. A pure one-cycle tone heard without echo appears to be an unreachable ideal. The Saturday weather here at F.C. featured no sharp sound transients, which would have scared the cats, but it did feature lots of sunshine, which pleased them. The temperature of 64F 18C pleased them even more. Since happy cats make for a happy day, it was a better-than-average day. Today is starting with less sun, but it is still warm. How the cats will take these conditions remains to be seen. Until next time, which will arrive with little fanfare in 24 hours, take care, and keep the fractal faith. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ The_Jaggies { ; time=0:05:54.44--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.87811921245282280/+1.494945544689796\ 00/4.508265e+011/1/45/-0.00608343082262642609 params=-1/-8.5/-8/-1.5/0/0 float=y maxiter=1000 inside=0 logmap=124 periodicity=10 colors=000JQhNTmRYnVZsYaq`cpbfoehngkmjmlloktwoV__M\ TUIQULT`MVeQZmR`zRavO`vL`jI`mG`ZD`hA`N8`cFaLLaORbQ\ XbTccWicYod`udbphWlkQgnKcqDZt7Vw1Rv9NvGKvNGvUCua9u\ t5uo2zzPbbjKJhVOfeSdpWfgUh_TjSRlKQ`AYQ1dT6cVAcXFbZ\ JbaOacSaeX`g``cXb_TdWPfTLhPHjLDlH9nE5oQ7qa9smBuyDv\ rGwlIwfLx`NxUPyOSyIUzCWzESqGOhIL_KHRMEIOA9P70OG7OP\ EOYLOfROn0Yb4fS8pHCy6FrDIlKKeQN_XPTcSNiUGpXAvZCrYD\ oXEkWFhWJbRNYMRTIVODYJ9SHKMGUGEdADn5Cx6Iq6Nj6Sc6XX\ 6aQ6fJ6kD9bRBYXDTaFOfHPkSQmbRndSmfTlhUljVklWknXjoY\ jjZhe_f``d_a`ZbYZcVYdSYeOXfLWgIWhFViBVj8Uk5Ul2Rm5P\ n8NoBLpDJqGHrJFsLDtOBuR9vTXwcsxnoymlzlizkfzjbzi_zh\ XzhUzgRzfNzeKzdHzcEzbBzbGzdLzeRzgWzh`zjezkkzmpznuz\ pzzqmzf`zW2zUPzLCzAkzYgzVdzT`zQYzOUzLRzJOzHKzEHzCD\ z9Az76z43z2ezS`zOWzLSzINzFIzCEz99z64z3kzPgzNczL_zJ\ XzHTzFPzDMzBIz9Ez7Bz57z33z1WzbSzYOzTKzOGzJCzE8z94z\ 4kzKgzIdzHazGZzEWzDSzCEzY } 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 20.0 PAR-FORMULA FILE==================================