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Extra fractal; not an FOTD
by Jim Muth
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Fractal fans: Today's posting is not an FOTD. I have no time today for a regular FOTD, but I have just turned up a formula that I had forgotten about, and I wanted to give an idea of the things it might do. I also have found that it was Andrew Coppin who originated this formula and apparently the basic idea for the MandelbrotBC2 formula as well. The image is a Julia set of the Z^(1.1)+C Mandeloid as it appears 100 levels up the logarithmic super-spiral. The next real FOTD will appear on October 25. Jim Muth jamth@mindspring.com jimmuth@aol.com |
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Julia_Variation-1 { ; time=0:02:34.18--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=JuliaBC passes=1 center-mag=0.0738128/\
-0.0496634/1.036244 params=1.1/0/100/0/0.206/0/0/0
float=y maxiter=2600 inside=255
logmap=15 periodicity=10
colors=000EF8GC6I94J72L67N6CP6HR6LT6QU6VW6_Y6c_6ha\
6mc6rd6ue8sfAqgBohDmiEkiGijHgkJelKcmMaoN_nSYnXWnaU\
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KgMLeNMcOObPP`QRZRSXSTWTVUUWSVXRWZPX_NYaLZbK_cI`eG\
afFbgI_`LYVOWPRTJURDXP7ZN1YX2Yf2Xp3Xz3Ww7WuAVrDVpG\
UnJUkMTiPTfSSdVSbYR_`RYcQVfQTiPRlPOoOMrOKuPLsQMrQN\
qROpSPoSQnTQmURlUSkVTjWUhWVgXWfYWeYXdZYc_Zb__a```a\
a_aaZ`aU_aQZaMYaI`bGcbFfcDicClcBod9rd8ud7p_6kV6fR6\
aM5XI5SD5O95NC7ME9MGBLICLKEKNGKPHJRJITLIVMHYOH_QGa\
RGcTFeVFgWQiQ_jKjlEtm9oj8kg7fe6bb5Y`5UY4PW3LT2HR2J\
S3LT4MU5OV6QV7RW8TX9VYAWZBYZC__D``EbaFdbGebGcdEaeC\
`gBZh9Yj7Wk6Vm4Tn2So1Pl3Ni4Lf5Jc7H`8FY9RQCaJEmBHx4\
Jp9HiDFPVKQSIQPGRNESMCJWN }
frm:JuliaBC { ; Formula by Andrew Coppin
e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
r=real(p2)-q, C=p3, Z=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < p4+100 }
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times.
