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 ----------------------------------------------------------- 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\ oeSojQooOosMlrKirIfrKdqMaqNZqPXpRUpTRpVPpWNkVMfUKa\ TJXSHSRGNQEIPDDPFPCIRDLSENUEQVFSXFVYGX_G_`HabHdcIf\ eIifJkhJniKpkKslLunLxoMzpMskOlfQfaS_XUUTVWSUXRTYQS\ ZQR`PQaOPbOOcNNeMMfLLgLKhKJjJIkJHlIGmHFnHFlJHjKIhL\ 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 } ----------------------------------------------------------