; Date: Tue, 12 Nov 2013 20:06:46 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-11-13 (Cusps of Wonder [A-8,M-5.5]) ; Id: <1.5.4.16.20131112200619.2b0fd96e@earthlink.net> ; --------- ; ; FOTD -- November 12, 2013 (Rating A-8,M-5.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image takes us back to the East Valley of the parent ; Mandelbrot fractal that results when Z^(2.01) is calculated 1.5 ; levels up the hyperladder with no function applied. (We very ; recently checked this same valley.) Since the parent is rotated ; about 90 degrees, its East Valley, which is shaped like a wedge, ; is on the west side. Today's image lies at the inner extremity ; of the chaos shooting inward from this wedge. ; ; The name "Cusps of Wonder" refers to the eight cusps surrounding ; the central minibrot. The artistic rating of an 8 indicates ; that I am rather satisfied with the gloomy atmosphere of the ; image. The math rating of 5.5 shows that there is little new ; stuff in the math. ; ; The calculation time of 2 minutes seems appropriate for the ; scene. faster satisfaction may be enjoyed by checking the web ; sites however. ; ; For complete satisfaction check the finished image at: ; ; ; ; and the variations at: ; ; ; ; ; ; ; ; The day began with a temperature of 31F -0.5C and light snow, ; which piled up to an inch (2.5cm) by the time it ended at 7am. ; But by late morning the sky had cleared and by noon the sun had ; cleared away the snow. The fractal cats, who are showing signs ; of becoming the best of friends, watched the snowflakes in the ; early morning, then took it easy in the afternoon. One fractal ; human was glad the snow went away by itself; the other shrugged ; it off. ; ; The next FOTD will be posted who knows when. The best bet is 24 ; hours from now, so until whenever, take care, and the globe is ; growing warmer, there is no doubt of that. The question is how ; much warming is due to man's activities. My guess is about ; 5-percent, but some zealous environmental activists claim that ; we are responsible for 99-percent of the warming. (If this is ; true, then I'm a sasquatch.) ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Cusps_of_Wonder { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.2657826335419736/-0.0005086399793624\ /1.455326e+012/1/-85/0 params=2.01/0/1.5/0 float=y maxiter=1500 inside=0 logmap=208 periodicity=6 mathtolerance=0.05/1 colors=000AFNAFMAFLAFKAFKAFKAFKAFKAFKAFKAFKAFKAFKA\ FKAFKAFKAFKAFKAFKAGKAHJAGIAFHAEGACEA9C50077B9CGBGL\ EKQFQVFMWGP_LNiRKnSHsTFxUGuVJsWMpXPnYSlZVi_Yg`YeaY\ faXg`Wh_Vi_UiUSdPQ`KLXF3TJ4RM5QQ6PnpZejXYcVP`UUXUW\ WOXWQUYBR`CPbDScGUcIWcLYcN`dPbdSddUxbNybSybXzbazbf\ r6oZPwWMrTJmQGhNEdKB_H8VE5QB3MLHCVV3ZaAbgHenNvjByo\ 7vf8tZ8qQ8oI8mA8nhSpjPqkMrlKsmHuoEvpCwq9xr7tsAqtDn\ uFkvIhwKgpLfiMebM_KVVQVQWWLaWGgWFUYFH_F4aLEhROnWXt\ YZqZ`n_bk`chaeebgbci_djYhiLki8gjBcjE_kHWkJSlMOlPKm\ SGmUOfNV`GbV9iP2ZHWO9xNCwMEwLHvKJvJMuJOuSWr`bpiinr\ plzwjkqVYpGcu1mv7mzDcwJUrPUnVWi`Yjf_jkWi5Tg7Qf9NdB\ KcCHaEE`GC_HMTOWMVdFaaBW_8RY5LdWNcPNbIOaBOaJRaQUaX\ XaW_aUbaVemWhkXliYpgZse_ucarhcbmfNrh8wk8so8ps8mw8j\ zFgzLdzSazYmzOmzFmz6mzDmzJmzQmzWmzbmzhmzomzumzWmz7\ fzWfzaWzfLzjSzlZznezplzqmzmnzjozgozdpzaqzZqzWrzSsz\ PtzMxzIizUlz_kzUjzPgzSezU } 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|