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: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> 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|<a } END PARAMETER FILE=========================================