; Date: Mon, 05 Nov 2012 19:43:01 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 05-11-12 (Pseudo-Symmetry [6.5]) ; Id: <1.5.4.16.20121105194735.2ae74766@earthlink.net> ; --------- ; ; FOTD -- November 05, 2012 (Rating 6.5) ; ; Fractal visionaries and enthusiasts: ; ; The name of today's image is "Pseudo-Symmetry". The name refers ; to the shape of the parent fractal, which came about when I ; whimsically calculated the expression Z^(2.34)+C at a level 4.32 ; turns up the hyperspiral. At first glance this figure-eight- ; shaped parent appears to have 'origin' symmetry, but a closer ; look reveals that the symmetry is only approximate. ; ; Today's scene is located in a valley of a larger minibrot lying ; on a filament extending from a mis-shapen bud on the northeast ; shore line of the northern bay of the parent. The semi- ; symmetrical shape of the minibrot at the center of the image ; reflects the shape of the parent. ; ; The coloring is nothing exceptional, but with the minor math ; interest, still earns a rating of 6-1/2. The calculation time ; of 2-2/3 minutes lies within the normal range. As always, ; calculation may be totally avoided by checking the image on the ; FOTD web sites. ; ; The pre-calculated image is posted on the official FOTD web site ; at: ; ; ; ; with hi-def variations at: ; ; ; ; The back images are available at: ; ; ; ; Today began with clouds here at Fractal Central, but in the ; afternoon, the sun finally made a brief appearance, its first ; since October 25. The temperature of 45F +7C was rather chilly ; for early November. Fractal cat Nicholas' anticipation is ; building as the arrival date of his new companion Callie nears. ; She is due on November 14. Meanwhile, the humans simply made it ; through another day. ; ; The next FOTD will be posted when it is ready. Until whenever, ; take care, and who are you voting against on Tuesday? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Pseudo-Symmetry { ; time=0:02:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.581511067122/+0.663743919851/1.3e+007 params=2.34/0/4.32/0 float=y maxiter=5000 inside=0 logmap=243 periodicity=6 colors=000pQgnPilOkkOniNpgMrfLtdKvbJxaJzcMydOxeQwf\ SvgUvhWuiYtj_skarlcrmeqngpoiopknqmnrkjsigtgdudavaZ\ wZWxWTyUQwSNwQKvOHrKHmFGhAGc5Fa2F_2EY2EW2DU2DU1CU1\ CT1BS1BR1AQ1AQ00Q19Q19P18N18K17K17K16F06F05F05F04F\ 04F03F03F02F02F01F01F00A09A08A08A08A07A07A07A07A06\ A06A06A06A05A05A05A05A04A04A04A04A03A03A03A03E02D0\ 2B02A02901701601501300200100wytwxswwrmvqmuqmtpctoc\ sncrnUqmUplUpkUokUnjUmiPlhPlhPkgPjfPiePheLhdLgcLfb\ KebKdaKd`Jc`Jb_EaZE`YD`YD_XDZWCYVCXVCXUBWTBVSBUSBT\ RASQASPARP9QO9PN9OM8OM8NL8MK8LJ7KJ7KI7JH6IH6HG6GF5\ GE5FE5ED5DC4CB4CB4BA3A9398388287IDaL7eO2hS4ZV5PY6F\ eCXbGV`KTaPYaTbbYgbalbeqqE8lPQgZgchxcfocdfccYcaPc`\ HmbMmdRmeVmg_mhcmjhmklciecg_cfTcdNccHceNmfTmgZmhdm\ ijmjombgmV`zOTzGMz9FzJSzScz`ozXpzUqzUqzlnzUozUpzUq\ zUqzcrzcszcszctzcuzcvzcwzcxzcyzcyzcxzcwzcvzcvzcuzc\ tzctzcizc_zcQzcGzc6zc9zcB } 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|