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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: There are everyday snails and there are snails of the Wonderland variety, which, along with the caterpillars, sit on mushrooms, smoking water pipes and blowing smoke letters into the air. Today's image shows a highly decorated snail of the latter variety, at a time when he is not smoking his pipe. The curious little critter was created by the same formula that gave us the orb that appeared in yesterday's FOTD. But in today's version we slightly shift the direction of the slice +3 and -3 degrees from the Julia aspect. This small rotation opens the figure and reveals considerable 'inside' area. The 'fmod' fill, with the proximity set to 1, adds the chaotic detail to the 'inside' areas. The final step in the creation of the snail was to stretch the image in the vertical direction. When this was done, the little fellow came to life for all the world to see, sitting on his abstract mushroom, wondering what happened to his pipe. Snails are not my favorite animals. They make quite boring pets, and they don't taste good either, so a rating of 6 was the best I could do with the image. But the rendering takes less than a minute, so it is worth the little bit of effort required to see the snail on his mushroom. The name "Snail on Mushroom" is the only name that could have been given to an image like today's. For the convenience of those who dislike rendering snails, the image is available in all the glory it can muster on the FOTD web site at: The next round of enlightening philosophy is a few days off. But be patient. The best (or craziest) part is yet to come. It was colder than a w-----'s t-t here at Fractal Central on Thursday. The wind was up and the temperature never rose above 21F -6C, but the sun was strong, and just enough sunlight struck the porch to make conditions bearable for the cats, who spent a full 45 minutes chasing the moving sunbeams that filtered through the upper branches of the holly trees. When the sunbeams were gone, the duo came inside without the need to be called, to enjoy their treat of tuna. Today is starting even colder. Luckily, the sun is once again strong. The cats should have another acceptable day. My other work is light, which means more time for fractals and more time to prepare the next eagerly awaited outburst of philosophy. Until we meet again in 24 hours, take care, and I still have not decided whether fractals truly exist or whether they are inventions of the human mind. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Snail_on_Mushroom { ; time=0:00:38.89--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=mult-xy-zw-compjb function=ident/flip
center-mag=-0.789184/1.12102/0.7198814/0.8175/2.04\
299432563946048/1.01592002781501933
params=87/93/1.4142/0/1.4142/0/0/0/-0.542983266/0.\
017693381 float=y maxiter=5000 inside=fmod
proximity=1 periodicity=10
colors=000O8UQCWSGYUK_WOaYSc_Wea_gcciegkgkmiooksqm\
wspzutzzzzzLVPBLE1B36E4BH4GK5KN5PP5US6YV6bY7g_7kb7\
pe8uh8yj8tf7pc7k_6gX6cU5ZQ5VN4RK4SL8SLCTLGTMKTMOUM\
SUNWVN_VNcVNg`UYf`PlgGqm7lk9hjAdhB`gDXfETdFOcHKaIG\
`JC_L8YM4XN0WO6OYBHgGAqK9nO9kR9hV9eZ9ba9_e9Xh9Vc8V\
_8VW7VS7VO6VK6VI9WHBWGDWEFXDIXCKXAMY9OY8QYBPXEPWGP\
VJPULPTOOSQORTORVOQYOP_NObNNdNMgNLiNLjLOkJRmHUnGXo\
E_qCbrAes9hu7kv5nw3qx2sq7mkCheHc_MZBdETRTNWOH`JSmS\
PkQNjOLiMJhLHgJFfHDeF3PX4QW4RV5SU5ST5TS6US6UR6VQ7W\
P7WO7XN8YN8ZM8ZL9_K9`J9`IAaIAbHAbGBcFBdEYGtXHsWIrW\
IqVJpVJoUKnULmTLlTMkSMjSNiRNhROgQPfPPePQdOQcORbNSa\
NS`MT_MTZLUYLUXKVWKWVJWUJXTIXSHYRHZQGZPG_OF_NF`ME`\
LEaKDbJDbICcHCcGBdFZBAYCBXDBXEBWEBWFBVGBVGBUHBTIBT\
IBSJCSKCRLCRLCQMCQNCPNCOOCOPCNPCNQCMRDMSDLSDLTDKUD\
JUDJVDIWDIWDHXDHYDGZEGZEF_EE`EE`EDaEDbECbECcEBdEc7\
NYELSLJMSHGZF3k94jAUdURaS }
frm:mult-XY-ZW-compjb {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5:
z=z^p2*(c^(p3-1))+c,
|z| < 400 }
END PARAMETER FILE=========================================
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times.
