Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: An unexpected rush job has arrived, the customer has already called once, and is waiting impatiently, so I'll have to make today's discussion a short one. I found today's scene near a larger midget in the Z^(sqrt(2))+C Mandeloid, located 23.78 levels up the logarithmic spiral. The image vaguely resembles a sea of sand dunes with a mis-shapen midget at the center, perhaps located on the well-known fictional planet known as "Dune". I gave the picture the simplest name possible -- "Dunes". Being found and colored almost automatically, I could not rate the image above average, so I gave it the highest possible below-average rating -- a 4. The render time of almost 19 minutes is slow for such a mediocre image. The best way to see the scene is to download it from: The pleasant autumn weather gave the fractal cats a pleasant afternoon Monday. The temperature of 46F 8C was chilly, but the duo managed to find enough sun to keep them comfortable despite a moderate breeze. I'll be comfortable when I finish this work, so until next time, which will arrive in 24 hours, take care, and make no fractal mistakes. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Dunes { ; time=0:18:51.52--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=recip passes=1
center-mag=-1.10193383668258500/+1.115688662390884\
00/397152/1/130/2.10770308151086994e-009
params=1.414213562373/0/23.78/0 float=y maxiter=16\
000 inside=0 logmap=-480 periodicity=10
colors=000rjUrjUrjUrjUrjUrjUsjUsjUsjUsiUsiUtiTshSq\
hRphQohPmfOkdOibOg`OeZOcXNbWNaUN`SN_QNYOMXMMWKMVJM\
UHMTFLSDLRBLQ9LP7LO6LSAJWEH_IFbMDfPCjTAmX8q`6ud4xg\
3wf6ve8vdAucCubFtaHs`Js_Lr_OrZQqYSpXUpWXoVZoU`nTbn\
TdmVflXhkZjj_lianhcpgdrfftehvdiwZgrUfmPeiKddFc_AbW\
D`YGZZJY_LW`OUaRTbTRcWPdZOfaMgcKhfJiiHjkFknElqCmsB\
niOl``jRmhIygJvfJteJrdJpcJmbJkaJi`Jg_JeZJbYJ`XJZWJ\
XVJVVMUXOTZQS`SSbURdWQfYQh_PjbOldOnfNphMrjMtlLvnKx\
pKyoJvoJsnJqnJnmJlmJilJglJdkJbkJ_jJYjJViJTiJQhJOhJ\
LgJJgJGgJEfLHeMKdONcPQcRTbSWaUZ`Va`Xd_YgZ_jY`mYapW\
cnUdmSelRfkPgjNiiMjhKkgIleHmdFocDpbCqaAr`8s_7tZ8s_\
9s_Ar_Br_Cr_Dq`Eq`Fq`Gp`Hp`Ip`JoaKoaLoaMnaNnaNnaQl\
cSkdUjfXigZhh`gjbfkeelgdnicolbpnarp`sr_teclUhdImX6\
mPCmSImVNiXTe_YbaccdhZfnUisPkrRjqSjqTipUioWhoXhnYg\
nZgm_glaflbfkcekdejfdigdihdhichjcglbfmbfnaeoaepafo\
`go`go`ho_ho_io_io_io_io_ }
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(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==================================
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times.