; Date: Mon, 24 Jan 2005 12:14:17 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-01-05 (Complex Diversion [5]) ; Id: <1.5.4.16.20050124121636.0e37267c@pop.mindspring.com> ; --------- ; ; FOTD -- January 24, 2005 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Over the long weekend I began wondering what some of the ; 'cmplxmarksmand' type fractals look like in the odd planes of ; the Julibrot. A few minor changes to one of my Julibrot ; formulas enabled me to investigate the mystery. I named the new ; formula 'mult-XY-ZW-compjb' and included it in my 'allinone' ; file of most active formulas. ; ; At the present time, I have done almost no exploring with the ; new formula, so I cannot comment on what it might hold, but I ; did find one rather interesting, if not great, image in my first ; trial run that appeared good enough to be an average-rated FOTD. ; ; The parent Julibrot is that of the Z^100+C fractal, which has ; been reduced to one lobe. The angle at which it is sliced is 30 ; degrees from the Julia orientation. Quite a bit of stretching ; was needed to bring the image to a roughly circular shape. ; ; The outer circular ring is the Julia part of the overall ; Julibrot fractal. The Mandelbrot part has been stretched in ; one direction to infinity, and appears as the horizontal bands ; filling the circle. ; ; I named the image "Complex Diversion". There is nothing ; outstanding about the image; it simply exists to be looked at as ; a diversion. Since everything about it is average, the rating ; of a 5 seems proper. The superman-like render speed of under 6 ; seconds gives the image an unrealistic overall worth of 5574. ; The image is not really worth this rating. I must do something ; to avoid such artificially high overall worths. ; ; As has been the case almost from the day the FOTD first ; appeared, the finished image is available on the FOTD web site ; at: ; ; ; ; I'll do some further exploring in this new formula later today. ; I am sure it has better things in it than the image that passed ; for today's FOTD. ; ; Arctic cold and roaring winds kept the dynamic duo ensconced ; safely indoors all day Sunday. The high temperature on the ; almost-accurate fractal thermometer reached only 18F -8C, while ; the wind gusted to near 50mph 80kph, blowing the powdery snow ; around in great clouds. The duo watched all this from their ; window shelf, thankful that they were inside. In the evening I ; put extra tuna in their dish to reward them for their patience. ; Today is starting sunny and just as cold, but the wind has died ; down, which makes it feel far less harsh. The cats might sneak ; an hour or two on the porch. ; ; For me it's time to finish the job of clearing away the drifted ; snow. If I accomplish that, I will be home free. The commer- ; cial work is caught up. ; ; The next FOTD will appear in 24 hours. The enlightening ; philosophy might be included, or it might not. Until then, take ; care, and if this is the age of enlightenment, why are we so ; ignorant of so many important things? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Complex_Diversion { ; time=0:00:05.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mult-XY-ZW-compjb function=ident/flip passes=g center-mag=0.000367865/3.88578e-014/1.229\ 082/1.3647 params=60/90/100/0/-99/0/0/0/-0.50878/0 float=y maxiter=10000 inside=253 symmetry=xaxis logmap=yes periodicity=10 colors=000K84SB5bU6ELUDYbBTUAYU8aU7eU0460350340230\ 1261C215I8GXERkKafNdbQfZTiUWkQZnMapIdrNbsSasW_s`Zs\ dYs_ZqV_oQ_mM`kHaiCag7be3bdWQZwDU0Nb4MT8LJCK9GJ08O\ Q1SnWGdy4V1l92mV2moZ6LRMWJafCppImjOkdUhZZfTdcNjaHp\ ZBuX6m_EeaMYdUQfaIiiAkq2myAhrdvFfwFixFkyFq_8wB2sF5\ oJ7kN9gRBcUD_YFWaHSeJPhLReSSbZT`dUYkVWqQPpMJoICnE6\ mA0m`G7bJ8Zvm`xmcqlejlhcljYkmRkoKkqEkoIjnMilPhkTgi\ Wfh_efcdefccjbbma`q`_t_YsaXscWreUrfTrhSqjQqlPpmOpo\ MpqLosKotInvHnxGnyIltKjpMhlOfhQddSb`U`XWZTYXP_VLaT\ HcRDeP9gN5hL10pX1lY1hZ2e_2a`3Z`3Va3Sb4Oc4Kd5Hd5De6\ Af66g63gTRQnm8jk7fi7cg6_e6Wd5Tb5P`4LZ4IX3EW3AU27S2\ 3Q10P1a4FZ3CW39T27Q24N22Q53eM9hOAjRBmUCpXDrZEuaFxd\ GzfHycKxaNw_QwXTvVWuTZuQatOdsMgsKjeMoTOsGQwBYb6eJA\ dcEcxF_tGXpHTlHQhIMdJJ`KFXKCTIEOGFKEHGCICAJ8FIAJIB\ NICRIDVIEZIFcHGgHHkHIoHJsHKwHLrFLnDLjCLeALa9LY7LT6\ LP4LL3LJ8IHCGGGEHwzOZfVU` } frm:mult-XY-ZW-compjb {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=z^p2*(c^(p3-1))+c, |z| < 400 } ; END PARAMETER FILE========================================= ; ;