|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Visionaries see things, sometimes supernatural things, that ordinary people miss, but skeptics know that these things seen by visionaries exist only in the visionaries' minds, and therefore are not real. So far, so good, but then we get to fractals, which exist only as ideas in the mind until they are made real by a computer. So, depending on the definition of the word 'real', fractals can be real, unreal, or somewhere in between. Of course, it does not necessarily follow that the supernatural visions of visionaries are real . . . or could they be real . . . ? Regardless, today's image is worth the 7 points I gave it. It's a scene quite deep in the western east-style valley of the Z^(2.99)+C Mandeloid. In the case of the Z2.99 fractal, the east and west valleys are quite different. Instead of broadening into a wedge, the valley on the west side of the main bay of today's parent fractal is starting to pinch off. The pinching has little effect on the presence of cubic minibrots, which are quite numerous and quick to find. I named the image "Going to Pieces", though I have forgotten why I gave it this name. The calculation time of 6-1/3 minutes is about what would be expected for an above-average image. (Can so many images actually be above average?) Why not escape the chore of calculation by viewing the already-calculated image on the FOTD web site at: A really pleasant midwinter day prevailed here at Fractal Central on Saturday, with full sunshine and a temperature of 34F 1C. The fractal cats must have agreed, for they passed much of the afternoon at the back window, watching for squirrels. My day was spent taking it easy, an occupation that takes some getting used to. The next FOTD will appear in 24 hours. At least, it is scheduled to. Until next time, take care, and when skeptics tell you that fractals are all in the mind, remind them that the mind is quite real. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Going_to_Pieces { ; time=0:06:21.85-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotN float=y mathtolerance=0.05/1
center-mag=-0.4160061105507027/-0.0015889616893713\
/9.619985e+011/1/-23.5/0 logmap=1054 periodicity=10
params=2.99/0/0/0/0/0 maxiter=10000 inside=0
colors=000b_MbZNbYObXPbXQbXREFBGKCIOCKSCMUCOUCQUDS\
UDUUDWUDYUDZUDYUCXUCWUCVUCUUCUUBTUBSUBRUBQUBQUAPUA\
OUANUAMUAMUALUDKWFKYHJ_JIaLIcNHePGgRGfTFeVEdXEc_Db\
aCacC`eBZgAYiAXk9Wm8Vo8Uq7Ts5Qz7Su8UpAWkBXfDZaE`XG\
bSFbMHcOJcQKcSMcUNcWPcYQcZSc`TcbVcdWdfYdhZdj`dkadm\
cdoddqfdsgduidwjdxgfpehicjaalV_nNYoGTlMPiRLgWHd`Da\
e9_j5Xo1Vt7XnCYiI_cN`ZTbTYcOcgGbdJbaLbZNbWQaTSaQUa\
NXaKZaH`TTcLceCUh4Uj6Uh7Ug8Ue9UdAUbBUaCU_DUZEUXFUW\
HUUIUTJURKUQLUOMUNNULOUKPUIQUHNUPKUWHQcF7jH9hJAfKB\
dMCcNDaPF_QGZSHXTIVVJUWKSYMQ_NPaONcQLeSKgUIiWGkYFm\
_DoaBqcAseFJBJ40NJ6HYCBkI6lJ7lK9lLAmLCmMDnNFnOHnPI\
oPKoQLoRNpSOpTQqTSqUTqVVrWWrXYrXZqY_qY`pZ`pZapZao_\
ao_bo_cn`cn`dmadmaelbelbflbgkcgkchjdhjdijdjiejiekh\
fkhflgglggmggnfhnfhoeioeipUj2VkJWlMXmPXnSYoVZpY_q`\
_rc`sfatibulbvocwqdxteywMzzOzzPzzQzzRzzSzzUzzVzzWz\
zXzzYzzZzzbzzbzzbzzbzzbzz }
frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================
|
times.
