; Date: Tue, 10 Dec 2013 08:50:01 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 09-12-13 (Cupcake Quest [A-6,M-8]) ; Id: <1.5.4.16.20131210085002.0d877376@earthlink.net> ; --------- ; ; FOTD -- December 09, 2013 (Rating A-6,M-8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is a math special, which explains the math rating ; of an 8. It is also an entire parent fractal in itself, which ; explains why the art rating is an unspectacular 6. ; ; The entire scene has been rotated minus-90 degrees, for a ; marginally improved composition. The fractal actually has ; X-axis symmetry. ; ; The real(p2) value of 3.1439495 is not frivolous. It is the ; critical value at which the fractal does have X-axis symmetry. ; The value's closeness to the number PI is purely coincidental. ; ; The name "Cupcake Quest" refers to the two cupcake shaped buds ; on either side of the fractal's main bay. These buds and the ; filaments extending from them probably hold countless minibrots ; of all degrees of interest, but today is not the day we check ; for them. ; ; The calculation time of 1-1/3 minutes will cause stress for no ; one. Running a DOS file on some SOTA units can be quite a task ; however. Those with uncooperative machines may find the image ; on the web sites. ; ; The pre-calculated image is available online at: ; ; ; ; ; ; ; ; ; ; Heavy clouds, melting ice and a temperature of 36F +2C defined ; the day here at Fractal Central. The fractal cats had a ; reasonably uneventful day except when they inadvertently bumped ; into each other dashing around a doorway and a little mild cat ; profanity was exchanged. We humans were shocked by the cat ; language, but it was nothing we had not heard before. ; ; The next FOTD will be posted in the right time. Until ; righteousness prevails, take care, and feel free to disagree. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Cupcake_Quest { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.32195/0/1.06271/1/-90/0 params=1.333\ /0/3.1439495/0 float=y maxiter=25000 inside=0 logmap=yes periodicity=6 sound=off colors=00001S01Q02O03M04K05I06G06E06C0690460230000\ 00000D6BG6AJ7AL7AO79R79T79SD6SJ3SP0TN5TL9TJEUIIUGN\ UERZCVcB_h9cm7hr5lv4pz4gv4Zr5_o6`l7`j8ah9afAbdBbbC\ c`DdZEdXFeVGeTHfRHfTKcUM`VOZWQWXTTYVRZXO_ZL``Ju4Ut\ BSsIRrOPqVOpaMogLnnJmtIkqNinSglWei`cgdadi_bmaanbao\ dape`qg`rh`sj_tk_ul_ukZukZukZukZukZukYukYukYukYukY\ ukYudPhYHWR8JL07bMLtfZAoREiWIc_MYdPShTMmXGq`Avc5zb\ 6wb7ta8raEoaKl`Pj`Ug_Ze_cb_h_ZmYZrVZvTOy0ty7qzAozC\ mzEkzGizJgzLezNczPewOftOgqOhnOikOjhOleOmUOnUOoUOpU\ OqUOrUMrUKrUJrUHrUFrUErUCrUArU9rU7rU5rU4rU2rU1sU5s\ U8sUCsUFtUItUMtUPtUStUWuUZuUauUeuUhuckmhimhhmhgmhe\ mhdmhcmhbmmZmhVmhRvhNwhIxhDyh9xhCwmFwmIvmLvmOumRum\ UtmXtm_zmczmfzmizmlzmgzmbzmYzmTezzezzgzzhzzizzjzzl\ zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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|