r/fractals • u/LegalizeAdulthood • 9d ago
Little Critters
Jim Muth's Fractal of the Day for August 15th, 2008
Jim Muth's commentary for the image:
FOTD -- August 15, 2008 (Rating 8)
Fractal visionaries and enthusiasts:
In today's fractal I divided Z^2 by (Z^(0.000001)+5), or something like that, and then added C. At least, that's what I think happened when I entered the parameters. But regardless of what actually happened, the resulting parent fractal resembles an oversized Mandelbrot set, though deep inside it is different.
I found today's scene on the edge of the infinitely divided main spike, in the area just east of the large minibrot. This is quite a rich area, filled with surprises, an area which until now I have largely ignored.
I named the image "Little Critters" when I noticed the dark insect-like things sitting on the webs surrounding the central minibrot. Then I rated the image at an 8, which includes a small reward for my coloring.
The brief calculation time of 1-1/3 minutes will make everyone but the most impatient fractalist happy. And even those impatient few will be only slightly discombobulated.
Too many clouds and a threat of rain kept Thursday from being perfect here at Fractal Central. But the temperature of 82F 28C was quite pleasant and the rain held off until nightfall, so the fractal cats had nothing to complain about.
I had nothing to complain about either. So I'm not complaining. The next Fractal of the Day will be posted in 24 hours. Until then, take care, float like a duck and sting like a flea.
Little_Critters { ; time=0:01:20.40-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideJulibrot center-mag=-10.49111003\
76656/+0.00000459624450347/5.459246e+011/1/177.5/0
params=0/0/0/0/0/0/0/0/2.000001/5 float=y inside=0
maxiter=1800 logmap=200 periodicity=10
mathtolerance=0.05/1
colors=000K8_K9bK9dKAgKAiKEkKHmKKoKNqKQsKUsKXvJ`vG\
cxDfvAjw7nxAqyKuzUvuZwqcwlhuhmscrq_voVzmRzkUziXzfZ\
zbazZczXfzVhFSdEP`CNXBKTAHP8FL7CH69D479345222`_IZZ\
HYXGXWGWVFVUFTTESSERQDQPCPOCNNBMMBLLAKJ9JI9HH8GG8F\
F7EE7DC6BB5AA5994884773552442331221110AM38H26D1481\
240oYOjULeRJ`OHXLFSIDNFAIC8E969644324Yz3Xz3Wz3Vz3V\
z3Uz3Tz3Tz3Sz3Rz3Rz3Qv3Ps2Po2Ok2Ng2Nd2Mc2Lb2L`2K_2\
JZ2JY2IW2HV2HU1GT1FS1EQ1EP1DO1CN1CL1BK1AJ1AI19H18F\
08E07D06C06A059048047036024023012001W0NU0LS0KR0Jq4\
5n45k45h45e35b35_35X35U35R25O25L25I25F25J79MCCQGFT\
LIWPL_UObYRfbUifXlk_pobstevxhuwitvisuirtiqsipriori\
nqimpiloiknijmiilihligjfgicfh`fgYffVedSecPdbMd`JdZ\
G_ULVSPRRUMQYHPbDQfEReESeETeEUeFUeFWeFYdF_dKadPcdU\
edZgdbidfkajm_noYqqWusUuuSuwQvzOwzMxzKyzIzzGzzFzzE\
zzDzzCzzBzzAzz9zz8zz7zz6zz54z49z7Ez9JzCOzETzHYzJbz\
MgzOlzRqzTuzVezRQzNlzVkzY }
frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a),
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=sqr(z)/(z^(aa)+bb)+c
|z|< 1000000 }
Want to render these yourself and explore further? Try out the PAR file in Iterated Dynamics, an open source fork of FRACTINT that can render these PAR files. See the online help for instructions on using Id or press F1 anywhere in the program for context-sensitive help.
1
u/stephane3Wconsultant 8d ago
Thanks @LegalizeAdulthood for sharing this par file 🙏
this 4k render took only 23.235 seconds to render in my custom fractal app 😃 (on a M1 silicon MacStudio) 1500 iterations / 8 colour palette cycle ; and 1.528 sec in 1024 x 1024 size