FOTD 07-11-09 (A Minibrot in the Sand [8])
FOTD -- November 07, 2009 (Rating 8) Fractal visionaries and enthusiasts: I was going to name today's image "Sandy Claws", but I decided to name it "A Minibrot in the Sand" instead. The image is a scene on the main stem of the chaotic Mandeloid that results when Z^(2) and Z^(-2) are combined in a crazy way. When a negative exponent of Z is involved in a formula, the resulting fractal is highly dependent on the bailout radius. The 3000000 entered as the second parameter acts as somewhat as a bailout radius. I set this parameter at the point where the image is on the verge of evaporating, and let it rip. The result was interesting enough to be FOTD for today. The rating of an 8 might be a bit optimistic, but I feel the image is worth it. The calculation time of 2-3/4 minutes is certainly a bargain. The most convenient way to view the sandy image however is to surf out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and be exalted in its radiant glory there. Total sun but chilly temperatures prevailed here at Fractal Central on Friday. The fractal cats enjoyed the sun while it was beaming in the window, then took their places by the hall radiator. My day was average, which is just about all I can say about it. Due to a trip back to Old Fractal Central on Saturday, there will be no FOTD for November 8. But the FOTD for November 9 will be posted on schedule. Until then, take care, and don't get caught up in the feel-good craze. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= A_Brot_in_the_Sand { ; time=0:02:44.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y passes=1 center-mag=-1.785765881132176/0/3.218e+008 params=-2/3000000 maxiter=5000 inside=0 logmap=400 symmetry=xaxis periodicity=10 mathtolerance=0.05/1 colors=000gEahBeiFfiJfiNfiRfiUfiYfiafiefihfilfipfi\ tfiwf0ZU3WT5TT7QT9NSBKSEHSGESIBRK8RM5RO3RN5SM6TM7U\ L8VK9WKAXJBYIDZIE_HF`GGaGHbFIcFJcMRYSYSYeMclG_mIWm\ JTzKPzLMzMIzOzzzBzzzzz4zzzzz3zzzzz6zzzzzAzzzzzDzzz\ znGzpzzsJzuzztNpsOnrQlqSjqThpVfoXdnYbm_`maZlbXkdVj\ eUjhTfjSclR`oQYqPVsOSqNPoMNnMLlLJjLHiKFgKDeJBdJ9cI\ BcHDbGEbGGaFIaEJaEL`DN`CO_BQ_BSZATZ9VZ9WU8XQ7YM6YI\ 5ZE4ZGAcIGgKMkMSpOYtPbxO`wNZvMXuLVtKTsKSsJQrIOqHMp\ GKoGJoFHnEFmDDlCBkCAkFEiHHgJKfMNdOQcQTaTX`V_ZXbY_e\ WahVckTzn0et0ez0_p0zf0zY0mO0GEBB5CA4A949938837836L\ BJYJWjRhvZun_tf`tZataPpdDlf1hdDjbPl``nZlpXxr`tkcpd\ glZjhSmdMieNfeObeO_ePWeQTeQPeRMeSIeSFeTCeTAgV8hW6i\ X4jY5i_6ha6gb7gd7ff8eg8di9dk9clAbnAboGmELmAPm7Tm4Y\ mPami`mk_mnZmpZwrYwpXwoWwmVzlUzjXznLzcAzTBzRCzPDzN\ DzLEzJFzHGzFGzDHzBIz9Iz7HzBHzEHzIHzLGzPGzSGzWGzZGz\ bFzeFziFzlFzpFzsdzNezSfzX } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================
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Jim Muth