; Date: Thu, 27 Oct 2005 09:47:22 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-10-05 (Julia Variation-4 [5) ; Id: <1.5.4.16.20051027094852.2affc9f6@pop.mindspring.com> ; --------- ; ; FOTD -- October 27, 2005 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image looks somewhat like a nuclear explosion. It is ; actually a picture of the Julia set of the Z^(1.25)+C Mandeloid ; as it exists only one level up the spiral. Or perhaps I should ; say 2.14159... levels down the spiral. The number PI works ; better as a ground level. ; ; The interesting Julia sets that can be created with the JuliaBC ; formula are very easy to find and they are literally endless in ; number. And, as today's 24-second render time shows, they are ; lightning fast. ; ; I'll post a few more low-order Julia sets before returning to ; the hoard of old, forgotten, mostly useless formulas. I want to ; check the Julia sets of a few of the square-root-of-two ; Mandeloids. ; ; Since today's fractal basically found itself, I could rate it no ; higher than a 5. The name merely indicates that it is the ; fourth in the series of similar images. (The first in the ; series was not an FOTD.) For the convenience of those with over- ; qualified computers, the completed image is available on the ; FOTD web site, which may be accessed at: ; ; ; ; A chilly blustery day Wednesday produced just enough sun to keep ; the cats in a neutral mood as they lurked in the yard. With the ; work still caught up, my mood was good. Today is starting sunny ; but chilly, leading me to expect another marginal day for the ; cats. The next FOTD will appear in 24 hours. Until then, take ; care, and be with it. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Julia_Variation-4 { ; time=0:00:24.06--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.0612658/0.043239\ /0.3908483/1/-90/3.88578058618804789e-016 params=1.25/0/1/0/0.09428/-0.0025/0/0 float=y maxiter=1000 inside=0 outside=real periodicity=10 colors=000HL8FM8DN7BO79P67Q65R53S51T54U77V89WACXBF\ YCHZEKaFNcGPfIShJUjKWfNYcQ_`T`YWbUZdRahOcmLfrHivEl\ zBoz8rz5tz6qz7nz8kz9hzAevBbrC_mDYhEVcFSZGPUHMQIJOJ\ GMJEMNIMRMMVQMZUMbYMfaMjeMmhKjkJhmIfoHdzGbzFazEczG\ qzHwzJqzKmzLczNYzOYwPYrRYmSYiUYhVYgWYeYYdZYc_Yb`ad\ adfchidkkfongrphurbkoYamTSjOIhJ8fNAgQChTEiWGiZIjaK\ kdMlgOljQmmSnpUnlTkiThfSecSb_R_XRXUQURQROQOMPNKPNI\ PNHONFOMDOMCNMANM8NL7ML5ML3ML2ML4NO6NR8OUAOWCOZEPa\ GPdHPfGQbFQ_FRWERTERQDSMCSJCTFBTCBT9EU8GV8IW8LX8NY\ 8PZ8SZ8U_8W`8Za8`b8bc8dc8eaAe_BeYDeWEfUGfSHfRJfPKg\ NMgLNgJPgHQhFShEThCVhAWi8Yi6Zi4`i3ak8YlDUnIQoNMpSI\ rXEsaAte6pf7mg8ig9fhAciA_iBXjCUkDQkDNlEKmFGmGDnGAo\ H6oI3pJ0pJ1lK1iL1fM1cN1`N1YO1VP1SQ1PR1MRGU`V`jhgtg\ drfbpf_neYldWjdThcRfcOdbMcaKaaH_`FY`CW_AUZ8SZ5QY3O\ Y1NW2RV2UU3YT3`S4dR4gQ5kP5nO6rN6uM6xP7tR7pT7mV7iX7\ fZ7b`7Zb7Wd7Sf7PhANiDLjGJ } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } ; END PARAMETER FILE========================================= ; ;