|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's image, with both Z2 and Z6 features, lies in the East Valley of a parent fractal that resembles a ragged Mandelbrot set. I named it "A Huge Trunk Full" because it is a scene in a trunk-spiral in a larger trunk-spiral. I rated the image a 7.5, allowing myself 1/2 point reward for the 1/2 hour I spent working on the colors. Unfortunately, the colors will not blend as smoothly on a monitor with a different color balance. Though the generating expression combines both Z2 and Z6 elements, there are no discontinuities in the image, such as would exist with a generating formula of something like Z4.5. Yet with the DivideBrot5 formula, we can produce Mandeloids in all the stages of morphing between Z2 and any other power of Z. But strange things happen when we try to morph a Z2 Mandeloid into something with an exponent less than 2, especially including the negative exponents. This area needs much more exploration, which of course, I will be doing in the days to come. The calculation time of just under 2 minutes is as brief as a bikini. The trip to the FOTD web site at: Sunday began quite foggy here at Fractal Central, but by 10am when the fog lifted, the rest of the day was near perfect. The fractal cats fully appreciated the warm sun and temperature of 61F 16C, but had a bit of a spat about who got the sunniest spot on the shelf. My day was fully occupied by doing nothing. But with the work already waiting, tomorrow will be less peaceful. The next FOTD will be posted in 24 hours. Until then, take care, and keep the fractal exponents straight. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
A_Huge_Trunk_Full { ; time=0:01:57.18-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5 float=y inside=0 logmap=279
center-mag=+1.54532810831662200/-0.0057378568096575\
1/7.048239e+008/1/-120/0 maxiter=3600 periodicity=10
params=6/6
colors=000Y9SX9SW8RV8QU8QT7TT7VT6YT6_S6bS5dS5gS4iR\
4lR4nR3qR3sR3uT5sU7qW8pXAnYBm_Dk`EjaGhcHgdJeeKdfJc\
fIcfIceHcdHccGbbFbaFcaEe_IgWMiTQlQUoNYqKauHeuIivKm\
vLovNovOpvQpvRqvTqvUrvWrvXsvZsv_tv`tvYrrVqoTolQmiN\
leLkbIi_GfXHcVI`UIYTJVRKSQKPPLNOMKMMHLNEKOBIOFHPKG\
PPFVUL`ZQfcVlh`rmevpjnmaehTXcKOZBFV3ER8EOCDLGDLKCL\
PCKTBKXBK`DJYEJVFISGIPIHMJHJKGGLGDNFAOF7PE4QE2TI3V\
M4XP5_T6aW7c_8fb9hfAjiBmmCopDqtEswFtuEttEusDuqDupD\
voCvnCwlBwkBwjBxiAxgAyf9ye9yd9wcEvbIuaMs`Qr_UqZZpY\
bnWfmUjlRikQgjOeiMchKagI_fGYeEWdCUcDSgMQhOOiQMQLKz\
hMzeOvcQv`StZSqWRlURkRQjQOhPQ_ORRNTHCcJMUDPKKVLTT4\
R_MRggQecQd_PbWPaSP_OOZKOXGLXAOWDzWGTVJzVLZVOzURcU\
UzOBzUWzapzZoSoozXnt1jpFmmTpzfszclz`ezYZzWSzTLzQEz\
N7zL0zI5zFAzCFz9Kz6Pz3Uz0Yz7`zDbzKezQgzWizXWzYIzY4\
zVBzSHzQNzNTzK_zIezFkzDqzAnz8kz6hz4ez5_z5Uz5Oz5Iz5\
Cz56z50zMfzKbzIZzGVzERzCN }
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.
