FOTD -- February 19, 2002 (Rating 5) Fractal visionaries and enthusiasts: Three days have passed since the FOTD last appeared. In that time, I have been working on the upcoming FOTD CD, which is now about 18 percent complete. (The inevitable unexpected problems have not yet appeared, so the disk might actually be closer to 10 percent complete.) In addition to the CD, I have been working on a MandelbrotMix3 formula, which instead of mixing 2 powers of Z, as the M-Mix4 formula does, mixes 4 powers of Z. As of this time, I have done very little work with this new formula, but I have done enough to realize that it has much potential. I have named today's image "New MandelbrotMix" because it marks the first appearance of the new formula, unfinished as the formula is, and it also introduces the next class of fractals, which, mixing 4 powers of Z instead of 2, will presumably have more variety. These new fractals will often have several critical starting points. At this time however, the different critical points must be calculated and entered manually. I have not yet figured how to get the formula to automatically calculate the multiple critical starting points and initialize Z to these values. Today's image rates an average 5, making it a bit slow when rendered from the parameter file. The better way of viewing the image is to download it from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Monday was fair enough for the cats to spend several hours on the porch watching the robins feast on the holly berries. The sun peeked above the holly trees just enough to give them a few spots of midday warmth to chase. The temperature of 46F 8C was a bit chilly however, especially when the sun dipped behind the trees again, sending the dynamic duo scurrying for their warm beds indoors. I see that the morning is growing short, and I've got lots to do before the day ends. Until next time, take care, and fractal dreams. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ New_MandelbrotMix { ; time=0:07:34.40--SF5 on a P200 reset=2002 type=formula formulafile=slices.frm formulaname=MandelbrotMix3 passes=1 center-mag=-3.\ 19726650875016000/+0.01482207270577980/1226631 params=0.1/2/0.03/3/3/-1/-1/-2/-3.31805269233/0 float=y maxiter=2400 inside=0 logmap=56 colors=000e`lhcmjfmminpmnrpousoxvpzypuvZpsHlp0eq7_\ rETsKNtRGuYAvcAsbAqbAoaAmaAk`Ai`Ag_Ae_AbZA`ZAZYAXY\ AVXATXARWAPWDOUGOSJOQMOOONNRNLUNJXNHZNGXQFVTETWERZ\ DPaCNdCLgBJjAHmAHnBHnCHnCHoDHoEHoEHpFHpGHpGJqILrKN\ rMPsORsPTtRVuTXuVZvX`vYbw_dxafxchyeiyfI7SG9NFAIEBE\ tRXo_bjhheqn`zsYxoVvkStgPrcMp`JnXGlTDjPAhL7gI8hK9h\ M9hNAiPAiRBiSCjUCjWDjXDkZEk`FkaFlcGleGlfHmdImcJmbK\ naLn`Ln_MoZNoYOoXPpWQpVQpURlSRhRReQSaPSYOSVNSRMTNK\ TKJTGIUCHU9GU5FU2ET4DS6DS7DR9DRADQCDPDDPFDOGDOIDNJ\ DMLDMMDLODLPDNQEORFPRGQSHRTISTJTUKVVLWVMXWNYXOZXP_\ YQ`YQWURfWZhYbj_flbjndnpfrqhvkcqe_m_VhURdON`IIWCES\ 7AO5QqARmFRjJSfOScST_XTXaTTeUQjUMnVJsVFwVC_gFWeETd\ EQcDMaDJ`CG_CDZB9XB6WA3VA0UA2WB3XB4ZC5_C6`C7bD8cD9\ dDAfEBgEChEDjFEkFFlFHgIJbLLYONUROPUQKXSG_UBbW6eX2h\ Z6e_9baD`bGYdKWeNTgRQhUOjYLk`JmdGngEPEWNMdMUmL`vPY\ qSWlVUgZSbaPZVOjYRk`UkbYl } frm:MandelbrotMix3 {; Jim Muth z=p5, c=pixel, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4): z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <= 100 } END 20.0 PAR-FORMULA FILE==================================