; Date: Sun, 03 Aug 2008 17:52:15 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 04-08-08 (Hexidecimal Quad [9.5]) ; ; Id: <1.5.4.16.20080803175251.2aaf7512@pop.mindspring.com> ; --------- ; ; FOTD -- August 04, 2008 (Rating 9.5) ; ; Fractal visionaries and enthusiasts: ; ; I'm starting to discover the potential of the DivideJulibrot ; formula. Today's image is a Julia-set of East Valley of the ; large minibrot on the main stem of its parent fractal. This ; parent fractal came about when I divided Z^2 by (Z^(16)+10). On ; the surface it resembles an oversized Mandelbrot set, while deep ; inside it takes on Z^16 characteristics. ; ; The image is a splendid blending of quadratic East Valley ; elements with the more circular Z^16 elements. It rates a full ; 9.5, 1/2 point of which is due to my marginally expert coloring ; efforts. ; ; I named the image "Hexidecimal Quad" in recognition of the ; mixture of elements of two different orders. The calculation ; time of a superluminal, (which is possible in the world of ; fractals), 23 seconds, will make running the included parameter ; file a pleasure. ; ; An equal pleasure may be experienced by visiting the FOTD web ; site at: ; ; ; ; where the already-calculated image is posted for instant ; ecstasy. ; ; The Sunday weather here at Fractal Central was so good that the ; digital thermometer read 'comfort' from sunrise to sunset. Lots ; of sun, low humidity and a temperature of 82F 28C in the middle ; of the dog days must be considered near perfection. The fractal ; cats were more interested in a squirrel that was in the yard all ; morning, gathering nesting material. ; ; I did little but take it easy most of the day, though far busier ; days are in sight. The next FOTD will be posted in 24 hours. ; Until then, take care, and forget philosophy for a day -- a lack ; of philosophical pondering leads to less wisdom but more peace ; of mind. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Hexidecimal_Quad { ; time=0:00:23.00-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideJulibrot center-mag=0/0/0.891266\ /1/-90/0 params=90/90/90/90/-17.4231/0/0/0/16/10 float=y maxiter=1600 logmap=11 periodicity=10 colors=000FA2HA0LA0OA5S8CXAJaCQfEXkGcpIjuKqiJnYJkN\ JhKYLHk0Fd0DZ0BT09N08H0zh4zc8zECmCJcBOUAQK9QJAPKAK\ LBKMBKNCMOCSMKULRZKYaJeaIldHthKvmMurPxzRzzTzzXlz_`\ zdZqO_UNYTMWSLURKSQJQPJOOMZJWbFcfBci8mn4mu1zzCVXNb\ NYjDhlCbnBYoASq9Ns8Ht7CrAGpDKnFOmISkLWiN_gQcfSggcd\ hnaiyZhydgyjXqbMiWBaO0VH8TEFRCNQ9UO7`M4hL2oJ0vI0uJ\ 6uKFtLOtMWnbfhrqikojemjZkkTjlMhlGfm9dm3ch9YcESZKMV\ PGFcnJXnNRnRLnVFnZ9nY7cX5TW3JV18V00Y70`E1bK2TGHKDV\ BAhUsnNq`GoO9mA3l0LZ9bMLs9WtGRuMMuSHvYCvc7liMbo`Ut\ o_X4cR7gLAkFDoAGrMKuXNxhRzsUzzMzzEzz6zz0zz0cm1ar2`\ v3_z4WwCTtJQqRNnYKke4SV3PS2MP1KN4GV7Db8Ea8Ea9F`9F`\ AF_AG_BGZBGZ65h8Be9GbAL_BQYCWVD`SEePFjNPeLY`KgWJpS\ IeYEWbALg6Bl3FkAJjGNiMRhSVgYZfcbeifeo`hpWjqRlrLosG\ qtBsu8cf5OT29F3MI4ZK4kMDkRLkVUkZakbjkfrkjricrgXreQ\ rdKrbDr`6r_0jS4cL8XECQ7GJ0KNBGQMCUW9Xf5_p2XmCVjLSg\ UQdbObkTfiXihalgeofFZ6GR4 } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001, p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(-aa)+bb)+c |z|< 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint