|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's not-so-glorious image was created by the 'tetrate' formula, a formula even more simple (if possible) than the Mandelbrot formula. The iterated expression is simply C^Z, but even this simple expression creates a fractal. The fractals it creates consist mostly of large flat blocks, so to add interest I rendered today's image with the inside set to 'atan' and the outside set to 'real'. In the resulting fractal I found a scene that vaguely reminded me of the top part of a helmet or ceremonial headdress peeking over a hill. Since the bottom of the helmet, along with the head wearing it, is hidden, I named the picture "Hidden Helmet". There is really nothing in the image that could be rated above average. The mathematical interest is lacking, the coloring is smooth but unexceptional, the composition is nothing out of the ordinary. The rating of 5 is as good as I could do with the image. Luckily, the calculation time of a brief 1-1/2 minutes means that not much time will be spent rendering it. The overall worth is 314. The rendering can be avoided entirely by downloading the image from the FOTD web site at: Mostly sunny but cold weather here at Fractal Central on Friday, with a temperature of 46F 8C, limited the fractal cats' outdoor time to under an hour -- not nearly enough to keep them contented. An extra treat of tuna was needed to make up for the yard time they missed. Today is starting much the same. More tuna may be needed before the day ends. I expect a relatively calm day -- that is unless something unexpected happens. Until the next FOTD fractal appears here in 24 hours, take care, and try to prove that the world is real. If you fail, try to prove that it is unreal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Hidden_Helmet { ; time=0:01:35.62--SF5 on a P200
reset=2004 type=tetrate passes=1 periodicity=10
center-mag=2.8193/-1.30897/1.577268/1/-98.75/1.310\
75705844807544e-014 params=0/0 float=y maxiter=2500
bailout=1600 inside=atan outside=real logmap=yes
colors=000L5KN8MRBOVEQYHS`KVcNTdQTdSTeTXfVYhXZjZ_l\
``nbbqdcrfdshctjaskaqkbpjboibmhblgbjfchecgdcfccebc\
dadc`da_d`ZcZYbYXaWWaVV`TU`ST_RSZPRZNQZMPZKOYJNXHM\
WGLVEKUDJSBIRAIQ9ST8aJ7jAOwKNxMMxOLxQKxSJxTIxVHxXG\
xZFy_EyaDycCyeByfAyh9yj8yl7ym9vjBthDqfFocHmaJj_LhY\
MeVOcTQaRSZPUXMWUKYSIZQGYPIYOJXNLXMMXLOWKPWJRWISVH\
UVGVVGXUFYUE_TD`TCbTBcSAeS9fS8hR7iR6kR6lP8jN9iLAgJ\
BfICdGEcEFaCG`AHZ9IYAKZBLZBMZCNZDPZDQZERZFSZFUZGVZ\
HWZHXZIZZI_ZJ`ZKaZKcZLdZMeZMfZNhZOiZOjZPkZQmZQnZRo\
ZRpZTo_Uo_Vo_Xo`Yn`Zn``naanabnadmaembfmbhmbilcjlcl\
lcmldnldpkdqkdrketkeujevjfxjfyjfzjftfdocbj`adX__UY\
VRXPNVKKTFHSGJRGKQGLQHMPHNPHOOHPNIQNIRMITMJULJVKJW\
KJXJKYJKZIK_IK`HLaGLcGLdFMeFMfEMgDMhDNiCNjCNkBNlBM\
hBKeAJaAIZ9HV9GS8FP8ERDETHEVMEXQEZVE`ZEbbDdgDfkDhp\
DjtDlyDnzDpzCozCozBozBozBozAoyAowAov9nu9ns8nr8nq8n\
o7nn7nm7nlS_akMRjNUjNWjNY }
END PARAMETER FILE=========================================
|
times.
