|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: The time has come for the next FOTD to appear, but I am still behind in my work. I do not wish to disappoint, so I have gone to Fractal Land and taken the first thing I found, which in this case, not surprisingly, turns out to be a midget. The fact that it is not quite a quadratic midget is a bit more surprising. The generating expression is Z^(2.03)+C, which means that, when the MandelbrotBC2 formula is used, the resulting image can be of many different shapes. In this case however, since the exponent is so close to 2, most fractals will be a rotated version of the traditional Mandelbrot set, with a bit of distortion thrown in to make things interesting. In today's case, the parent M-set is rotated only slightly clockwise. The main bud has come apart, with near total chaos in the area between the two competing remnants. Today's image lies in this chaos.. I gave the image a wild-card rating. I put too little effort into it to consider a firm rating. In fact, I am not even certain it is worthy of being a FOTD. I named the image "Random Shapes" which is basically a full description. The render time of under 3 minutes makes it almost worth the effort of running the included parameter file. I still have quite a bit of work to do, plus drifts of cicada shells to sweep away, so if I miss a FOTD or two in the coming week or so, don't be concerned. I merely will be still trying to catch up in the work. The image, for what it is worth, is available on Paul's FOTD web site at: The weather has been pleasant here at Fractal Central since the last FOTD, with the exception of Monday afternoon, when an intense thunder-storm moved in, with 2 inches (5cm) of rain, 1 inch (2.5cm ) diameter hail, terrifying (at least for some) lightning and thunder, and winds of 65mph (100kph). Needless to say, the cats dashed into hiding, and were not seen for several hours. Today is looking to be a repeat. We'll see how it goes. I'm still a bit behind in my work, so the thing for me to do is start working. Until next FOTD, take care, and do dare. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Random_Shapes { ; time=0:02:51.59--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=1
center-mag=-1.19187521524887300/+0.035312902072153\
03/422.451/1/-127.5/-1.03011349450454759e-012
params=2.03/0/0/0 float=y maxiter=1200
inside=0 logmap=26 periodicity=10
colors=000diNfkLglKinIkpGlqFnsDotChmBbgAXa9RW9LQ8F\
K79E74FA7GCAHFDIHHJKKKMNLPQLRUMTXNW_OYbP`fQbiRelSg\
oSilTgjUehVcfWadX_bYY`ZWZ_UX`SVaQTbORcMPdKNdIPeHRe\
GTfGVfFXfFZgE`gEbhDdhDfhChiCjiBljBnjApjAT4WS3YR3_Q\
2`P2bP1cO1eN0fM0hM0iC2d23`ABcIJfQQiYYleeollqUmhBn_\
Aka9ic9gd8df8bg7`i7Yj6Wl6Um5Ro5Pp4Nr4LsBOmHQhNScTU\
Z_WUeYPk_KqaFoZGnWHmUHlRIkOJjMJiJKhHKlOGpVCs`8tWFu\
SMvOTwK_xGfyCmxDjwEhwFfvGduHbuI`tIYtJWsKUrLSrMQqNO\
qNMaROMVQ6ZS9UWCPZFKaIFdLAgO5jQ0mgIpx_sF1vG7wHCxII\
yINwSPw`RwiSwiPwiNwiLwiIwiGwiEwiBwi9wi7wi5wCDwDEwD\
EwEFwEFwFFwFGwGGwGGwHHwHHwIHwIIwJIwJIzXNzjRzkPzkNz\
kMzlKzlJzlHzlGzmFznEznDzoCzoBzpAzp9zq8zq7zr6zr5zsC\
zsIztPztVzuazuczvczvcztczrczpcznczlczjczhczg`zeZzc\
WzaUz_SzYPzWNzVKzTIzRGzPDzNBzL8zJ6zI4zG6zF8zEAzCCz\
BEzAGz8Iz7Kz6Mz4Oz3Qz2SzKQz`PzqOzoPznPzmPzlPzkPzjP\
ziPzgQzfQzeQzdQzcQzEfzFgz }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*floor(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==================================
|
times.
