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: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> 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|<a } END PARAMETER FILE=========================================