|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today we return to the DivideBrot5 formula to check a fractal that is quadratic on the surface, but of order-7 in its depths. This oversized fractal at first appears to be a Mandelbrot set blown up like a balloon, but it is totally different once one wanders beneath its deceiving surface. At first the quadratic minibrots appear merely distorted, as though they were not critical, but they soon evolve into perfect order-7 minibrots, with far more interesting detail surrounding them than could ever be found in the simple Z7+C Mandeloid. Today's surprisingly rich minibrot is located near a minor bud on the northwest shore line of the main bay of the parent near-Mandelbrot set. I especially enjoy the awkward way the 7 arms radiating from the minibrot merge into the quadratic pattern a little farther out. An outzoom will reveal more detail of this merge area. I named the image "Frankenberries". I think I did it because the wine-colored basins remind me of the color of rasperry ice-cream, which strangely enough I have a sudden urge for. The rating of a 7 is about FOTD average. The calculation time of 2-1/3 minutes can be eliminated by surfing to the FOTD web site at: The weather report, back by popular demand, for Monday at Fractal Central in central Pennsylvania is one of typical midsummer conditions -- partly cloudy skies, a temperature of 86F 30C and contented fractal cats. The cats are contented because the wandering tomcats that had a noisy catfight in the yard a few nights ago have apparently moved on to other territory. My Monday was just a little busier than average. Tuesday will probably be the same. Early Wednesday the 30th I must take a 140-mile-each-way trip back to Old Fractal Central to arrange to have some repair work done on the old place, but I'll be back to New Fractal Central by Wednesday evening. As a result, there will most likely be no FOTD for July 31. The next FOTD, the one for July 30, will be posted in 24 hours or less. Until then, take care, and maybe what really is, really isn't. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Frankenberries { ; time=0:02:20.40-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 float=y inside=0 logmap=118
center-mag=-9.17759645799/+7.267304008055/2860593/\
1/7.5/0 params=7/16 maxiter=13000 periodicity=10
colors=000UI0VJ0WK0XL0YM0ZN0_O0`P1aQ1bR1cS1dT2eU2f\
V2gW2iY3jZ3l`3na3oc4qd4sf4wi3tg4re5oc5mb6j`6hZ7eY7\
cW8aU9ZT9XRAUPASOBPMBNKCGHALJCQLDVMF_OGdQIgTHiRJjQ\
KkPMlONmNPoLQpKSqJTrIVx5ZsHWoTTkdQieRhfRgfRegRdhRc\
hSbiS`jS_jSZkSYlTWlTVmTUnTUqRTnTSkVRhXQeYPb_O_aNXb\
MUdLRfNGfKPgIYgGfhFmjEnhEofEodEpbEp`EqZEqXErVEsTEs\
REtPEtNEuLEuJEvH4y9EvFNsLWpRdmWUmvTmtTisSerSapRYoR\
UnQPlQLkPHjPDhO9gO5fK7gH9hDBiACiMA`X8Si2Ig7KeBLdFM\
bJOaNP_RQZVSXZTWbUUfWTjXRnYQrZToYVmXYjW_hVbfUdcTga\
SiZRlXQnVPqSOsQNtPNuONrMMoKLlILiHKgFJdDJaCIZAIX8HU\
7GR5GO3FN1EN2FO2GP2HQ3HR3IS3JT4JU4KV4LW4MX5MY5NZ5O\
_6O`6Pa6Qb6Rc7Rd7Se7Tf8Tg8Uh8Vi9Wj8Vk8Vl8Vm8Vn8Vo8\
Vp8Vq7Vr7Vs7Vt7Uu7Uv7Uw7Ux6Uy6Uz6Uz6Uz6Uz6Uz6Uz9Vz\
BWzCXzDYzEZzF_zG`zHazIbzJczKdzLezMfzNgzOhzPgzQfzRe\
zSezTdzUczVbzWbzXazY`zZ_z__z`ZzaYzbXzcXzdpzepzfpzg\
qzhqziqzjqzkYzlXzmXznWzoW }
frm:DivideBrot5 { ; Jim Muth
z=0, c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
|
times.
