FOTD -- October 22, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: In today's image we return to the workhorse MandAutoCritInZ formula, which automatically initializes Z to a critical value of the iterated expression, thereby eliminating the need of tracking down critical values by hand, as is necessary with the MandelbrotMix3a formula. Today's parent fractal came about when I mixed 3.3 negative parts of Z^(-1.3) with one negative part of Z^(-5.3) before adding (1/C) on each iteration. This parent is a typical oversized double-negative fractal with three large, vertically stacked bays and a prominent, nearly circular, fractal fan extending east. A very prominent minibrot lies just beyond this fan, connecting it to a large ring farther to the east. Today's scene lies rather deep in the East Valley of this minibrot. I named the image "Totally Torus" when I viewed it from a distance and the brilliant pinkish ring around the central minibrot impressed me as a torus. Mostly because of the brilliance of this ring I rated the art aspect a 7. The math aspect remains a 6. The image is a relatively slow one, requiring almost six minutes to complete on one of today's super fireball machines. The time will be notably longer on an older unit. Viewing the image on one of the FOTD web sites will eliminate the delay. Avoid frustration as well as the nuisance of calculation by checking the finished image and variations on the FOTD web sites 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> Morning clouds gave way to sun later in the afternoon here at Fractal Central today. The temperature reached a high of 59F 15C early in the afternoon, but began falling as the day progressed. The old fractal cat spent the day being annoyed by the playful antics of the new fractal cat, who amused herself playing with the old cat's tail, while the fractal humans kept an eye on the action. The next FOTD will appear when it is ready. To find out when it will be ready, check back frequently. Until this moment of fractal revelation arrives, take care, and don't arouse the wrath of God, who apparently shares the emotional weaknesses He condemns in His creations, such as anger. And I have always wondered -- if God made the universe, where did God come from? Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Totally_Torus { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.677912749065/-0.59652070897284/90070\ 36/1/41/0 params=-3.3/-1.3/-1/-5.3/0/0/0/0 float=y maxiter=2800 inside=0 logmap=-463 periodicity=6 colors=000KKcc3UROKD1AATZ6ac3PK5F85JIZZZXXZMMNLBBZ\ iFWKWg4tX3eM2SB1E3mm1AP6sr3LR3OV2IN1CF067Fo9Bb67Q4\ 3D2f6YW4PL3HA18pQ2bJ1QD1D60q9LzzzF7jB5Z73OEFQLQRSa\ SYlThUisBzhAyZ9xP8wF8wqpzpu_pyA_g8KQ74962PP1GG088L\ rWzozzjqxVjuBkjAZV0CX2j9Ca46JdTVULNKEFA77Diy6NVsXx\ bh5JM2xSAhL7UE5F72vHHbBBJ55SgWzzz1zzhqqcnRZcFWKBDA\ 7653IFF957qFRcAKR5DD06sD6S43on9b`6QN4D926JK4BD236_\ PK2PejaiNGNzN4jG3V92F21c`SKGE`qPOYGCE89R16U03U0RUr\ KUdDUR6ZDIcEDZA9Z74Z3VZ8FZ4JZKCZD6Z65Zz2ZVUZCMZ9FZ\ 67Z3PZ`GZO8ZCYZuPZfHZT8ZEjZWVZLFZAfZwPhAGh68h3Ch56\ h94h63h41h2nhvPhT4ht2ha1hJVhwjhEVh9Kcz9cz7cz6czHcz\ SczzczzczoczSczVczIczeczqczTczmczhmzzmz3mzzmzVmzem\ znmzamzPmzCmzwmzUmzFmzymzimzVmzFzzvzzgzzTzzEzzLzzF\ zzAzz5zzmzzXzzGzzTzzJzz9zzKzzFzzAzz5zzfzzWzzLzzAzz\ SzzIzz9zzszzSzzvzzozzYzzHzzUzzFzzwzzUzzVzzFzzxzzUz\ zPzz1zz0zz0zzXzzMzzBzzSzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================