; Date: Fri, 29 Nov 2013 16:12:05 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 29-11-13 (Winged Minibrot [A-7,M-7]) ; Id: <1.5.4.16.20131129161157.2e4fcdcc@earthlink.net> ; --------- ; ; FOTD -- November 29, 2013 (Rating A-7,M-7) ; ; Fractal visionaries and enthusiasts: ; ; Today's venture into the realm of ultra-low exponents takes us ; down to the world of Z^(1.07071)+C, where we check no farther ; than ground level of the hyperladder as it appears with no ; function applied. 0.7071 is the square root of 0.5, though this ; is of no significance in the appearance of today's fractal. ; ; The parent fractal resembles an unbalanced boomerang, with ; today's image located in the western part of the chaos between ; the two arms. There actually is a minibrot at the center of the ; chaos filling the screen, which justifies the name, though it is ; too small to show up at today's magnitude. This unseen minibrot ; is shaped like a torpedo and surrounded by patches of chaos of ; the most chaotic kind. ; ; The name "Winged Minibrot" came about when the two large amber ; elements in the upper part of the frame reminded me of a pair of ; wings. The art and math aspects both rate a 7, meaning they are ; worth a look, but nothing that might win a prize. ; ; The calculation time of 1-3/4 minutes seems a fair price for the ; image, though the FOTD web sites can make the price much more ; fair. ; ; In all fairness, the finished image may be accessed at: ; ; ; ; ; ; ; ; ; ; Clouds and cold temperatures made today feel like a day from ; midwinter here at Fractal Central, with a high temperature of ; 34F +1C that was barely far enough above freezing to make the ; ice damp. The fractal cats spent the afternoon sleeping and ; playing, while the fractal humans spent the day recovering from ; Thanksgiving. ; ; The next FOTD will be delayed until at least December 1st. ; Until whenever, take care, and we must seek out the latest ; trendy electronic gadgets that we simply must have for ; Christmas. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Winged_Minibrot { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-7.3593914824083/-1.9453641284373/2.906\ 568e+007/1/171.250 params=1.07071/0/0/525 float=y maxiter=4000 inside=0 logmap=194 periodicity=6 colors=000zbDz`CzbCwZBtaBqWBrYAnTAjOAiT9iQ9cP8hK8f\ J7cH7bF600051665B79G7DL8HQ8LV9P_9SdPQOQVMQ_LQdJQiI\ QnGUsFcwEhrGmnHrjIvfJzaLzYMzUNzQOzLQzHRzDSz9Tz5Uz6\ Sf6Rd6Pa6O_6NX6LV6KS6JQ6HN6GL6FP5GT5HX5I`5Jc5Jg5Kk\ 5Lo5Mr5Mp9LoCKnFJlIIkLHjOGhSFgVEfYDd`CccBbfAai9VkG\ PmMIoSCqYUe_kVagUWdTQaTLZSFWSAYTCZTE_TGaTIbTKcTMeT\ OfUPgURiUTjUVkUXmUZnU`oUapV_qVYrWWsWUsXStXQuYOvYMv\ ZKwZIx_Gy_Ey_DeVTNQgRNhVKhYIiaFieCihAjl7jo5jl9hjCf\ hFdfIbdL`aO__RYYUWWXUU_SSbRVZSYWS_TSbQSeNSgKSjHSmE\ SoBSpH_pNgpToQljShiUdhW`gZWf`SebOddKdVNoMPyLRxKTwJ\ VvIXuHZtG`sFbrFdrEfqDhpCjoBlnAnm9pl9ql8km8en8_n8Uo\ 7Po7Jp7Dp77q72qLP4JLBIHIHDPF9WE5bD1iFEbGRWHcQK`PMY\ POVPRTPTQPVNPXLP_IPaFPcCPfAPh7Pj4Pl2P1_L4ZK7YJAYJD\ XIGWHJWHMVGPVGSUFVTEYTE`SDcRCfRCiQBkQBfO9bM8YK7UI5\ PG4LE3KD4JD4ID4IC5HC5GC5GC5IF9JICLKFMNIOPLPSORVRSX\ UU_XVa_XdbYge_ih`lkannKeW } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|