; Date: Sat, 30 Apr 2011 23:19:49 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 01-05-11 (A Turquoise Cousin [8.5]) ; Id: <1.5.4.16.20110430231953.1447c6b6@pop.earthlink.net> ; --------- ; ; FOTD -- May 01, 2011 (Rating 8.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "A Turquoise Cousin". The reason for the ; word 'turquoise' is obvious; the reason for 'cousin' is less ; apparent. Actually, the minibrot at the center is not a pure ; quadratic, only a close cousin. ; ; The parent fractal was created by the formula Z^(1.98)+C calcula- ; ted 1.98 levels up the hyper-ladder, with no function applied. ; This parent closely resembles a Mandelbrot set that has been ; rotated so that its main bud faces southeast, a position that ; puts its large south bud on the northeast side of the main bay. ; Today's scene lies in a small blunt valley jutting into this bud. ; ; The rating of an 8.5 includes a half point bonus for the cool ; coloring. At least the colors look pretty cool to me, almost ; like a mint. ; ; The calculation time of just over 1-1/2 minutes is very near ; FOTD average, and is a bargain for an image rating an 8.5. But ; setting up this message as a parameter file is still a minor ; chore, so for ultimate convenience the finished image may be ; viewed with total satisfaction on the FOTD web site at: ; ; ; ; and enjoyed in hi-def at: ; ; ; ; Paul's classic FOTD web site may be accessed at: ; ; ; ; Friday here at Fractal Central began with a light shower, ; followed by clouds and occasional sprinkles the rest of the day. ; A brisk wind and temperature of 57F 14C made it feel quite ; chilly, especially after the summer-like warmth of the past ; several days. The fractal cats remained well under control most ; all day, though Nicholas worried us a few times for an extra ; treat of cheese. Saturday brought more sun, a temperature of ; 68F 20C and contented cats. ; ; While all this was happening, the humans' days were acceptable. ; The next FOTD is scheduled to be posted in 24 hours. As always ; however, I make no guarantee that it will actually be ready on ; time. Until whenever, take care, and how can we determine the ; secrets of the universe when we don't even know what we are or ; how we came to be here? ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= A_Turquoise_Cousin { ; time=0:01:35.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.5430329672717207/+0.6525570342040315\ /2.2935e+010/1/-52.5/0 params=1.98/0/1.98/0 float=y maxiter=1500 inside=0 logmap=132 colors=0000HF2KK4MN6PQ8UUAZZCccEhhGmmIrrKvvjzzzzzz\ zzmmmKKKdvtBdf8WY6OP4GH288X6DG36z4cr3Zj3Ub2PV2K3GI\ OaEgwBakAX_9SP8ND7I26M69Q9BUDDYGFaKHeNJhQLgZPggSgp\ WgyZ_nTTdNMVH970EKB7A5Yj5Tc4OX3JQ2EK29D1460kbmcWdW\ QXOJPGDG868GtBCh89Y66M43B2dmmZeeTZZNSSHLLBEE577SKS\ MGMGCGB8B545SU_IKO9AC9Gz7Dq6Bh59_36R24I129hSVUIKF9\ AvaanXXgSS_NNTJJMEEE997445Pi3IY2CN16ByPIlKE`FAOA7C\ 53xlpUOQSvsETSRESD7EsUplQieMbZIXSFQLBJE7D736Bc49Y3\ 7S26M24H13B1150gj4bk7Xd6RY5MR4GK3BD2561wlzkbm_T`OJ\ PC9C9es7Xg5PX3GM18B1cfTYnOSeJMYEHP9BH458ba4YX3TS3O\ N2JJ2EE19914405Jk4Ge3E_3BU29O17I14C026l5QvmYTPH28j\ 16c15X14Q03K02D0163YP2RK1KF1DA065iTXYLONEGB78UGlKA\ WA5GQJPD9CEr49s24t1Pu8Kv6Gw5Cx48z24z1OzeCzLQzYKzRF\ zKAzDzz6zzvzzbzzJzzezzZzzSzzLzzEzz7zzWzzGzz5zz4zz3\ zz3zz2zz1zz1zz0zzXzzOzzGzz8zzDzzBzz9zz8zz6zz4zz3zz\ 1zz7zz4zz2zzrzzhzz_zzRzzI } 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|