|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Most elements of the cubic Mandeloid are extensions of similar elements in the classic Mandelbrot set. They bear a strong resemblance to their analogs. East Valley of the M-set is reflected in the prominent east and west valleys of the cubic set. Seahorse Valley is reflected in the valleys leading to the prominent north and south double-buds of the cubic set. But the cubic Mandeloid has one set of valleys that is entirely new, bearing no resemblance to anything in the classic M-set. These valleys are the ones that split the buds into two parts. Today's image is a scene deep in the valley centered on the Y-axis, which splits the north bud. This valley has no corresponding feature in the Mandelbrot set and holds elements that are entirely new. I named the image "A New Valley" for this very reason. The rating of an average 5 indicates that I am not fully satisfied with the results of the day's fractal efforts. The colors seem muddy, or it could be that my ancient monitor needs replacing. The render time of 25 minutes is borderline slow, though not nearly as slow as some recent images. But the task of rendering the scene may be escaped by going to the FOTD web site and viewing the image there. The web site may be accessed at: An absolutely perfect day here at New Fractal Central on Sunday was ignored by the fractal cats, who spent most of the day dashing up and down the hallway. The brilliant sun and temperature of 72F 22C had no effect on the duo. My day was peaceful. With any luck, things will stay that way. The next FOTD, hopefully an improved one, will appear in 24 hours. Until then, take care, and be quiet as a mouse hiding from a cat. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
A_New_Valley { ; time=0:25:06.99--SF5 on a P200
reset=2004 type=formula formulafile=slices.frm
formulaname=MandelbrotCube passes=1 periodicity=10
center-mag=+0.00000016885379887/+1.088680605744047\
00/4.609962e+011/1/35/0.00418326666131869918
params=0/0/0/0 float=y maxiter=50000 inside=0
colors=000Vg3Vg2Vg1dfKnfatcombnd_jWWeNTaEQYGP_HPaJ\
ObKOdMNeNNgONiQMjRMlTLmULoVLpUPkUSgTVcTY_S`WScSSgO\
RjKRmGQpCQs8Qv4Ts5Wq5Yo6`m6ck7ei7hg7ke8mc8p`9sY9uW\
AuUArSAmQChNDcKEZHFUEGPBHK8IF5JA2K50K00K00K00L00L1\
0L10L10M10M10M15M37P59R7AU8CWADZCF`EGcFIeHJhJLjKMl\
bZVujDpfFkcHg`IbYKZUMURNPOPLLRGHSCEU7BW38X49W49V49\
V49U49U4AT4AS5AS5AR5AR5BQ5BP5BP5BO5BO7EN9HNAKMCNMD\
QLFTLGVLHXMHYMH_MI`MIaMIcMJdMJeMJgMKhMKjMKkMLlMLnM\
LoMLpMWlXeifYgTReGlTFjQEiNEhLDgIDfFCdDCcABb7Ba5A`2\
A_0AZ88ZG6ZN5ZV3Za2Ub3Pb3R`4S_5UZ5VY6XX7YV7_U8`T9b\
S9cRAePBfOBhNCiMDjLDiNEhPFgRGfTHeVHdXIcZJc_KbaLacL\
`eM_gNZiOYkPYlPafQd`QhVRkQRlRQmSQmTQnTQnUQoVQoVQpW\
QqXPqXPrYPrZPsZPs_Pt`Pt`PnYViV`cSfZPlUNqVMqWMpXLpY\
LoZLoXMmVMlUMjSMiRNgPNfONdMNcLOaJO`IOZFPWGOYTLESMG\
RMHQMIPMJPMKOMLNNMMNNMNOLNPKNQJNRIOSIOTHOUGOVFOWDz\
RExSEwSEuSEtSErTVg7Vg6Vg5 }
frm:MandelbrotCube {; Jim Muth real(c),imag(c)
z=p1, c=pixel+p2:
z=z*(sqr(z))+c,
|z| <= 16 }
END PARAMETER FILE=========================================
|
times.
