; Date: Sat, 29 Oct 2011 14:05:04 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 29-10-11 (One Crazy Minibrot [??]) ; Id: <1.5.4.16.20111029140605.2b77165a@pop.mindspring.com> ; --------- ; ; FOTD -- October 29, 2011 (Rating ??) ; ; Fractal visionaries and enthusiasts: ; ; Today's image rates a double question mark. This expresses my ; puzzlement with the things I see on the screen. ; ; In yesterday's FOTD discussion I remarked that the image was ; located in a kind of phantom East Valley, which is filled with ; minibrots of the most extraordinary kind. In today's FOTD I ; show one of these weird minibrots. ; ; Judging from the 6-part pattern around the minibrot, it is of ; order-6. But there is nothing at all in the minibrot itself ; that resembles one created by an exponent of 6. In fact there ; is nothing at all in the shape of the minibrot that gives the ; slightest clue to what is going on with it. The only hint of ; what might be going on is the orbits of the points inside the ; minibrot, which for the most part are in a straight line. ; ; The generating formula simply combines portions of Z^3 and Z^4. ; I see nothing in the math that might create order-6 features, ; though the overall area is filled with smaller, purely quadratic ; minibrots. This would be expected however. ; ; The name "One Crazy Minibrot" expresses my feelings about the ; image. ; ; The calculation time of 51 seconds included in the parameter ; file is 1/4 of the 3-1/3 minutes the image took to calculate on ; the 200mhz backup machine. ; ; The finished image may be viewed on the FOTD web site at: ; ; ; ; without the need to calculate it. ; ; View it in high definition at: ; ; ; ; And don't forget the original FOTD web site at: ; ; ; ; The weather today here at Fractal Central was interesting to say ; the least. The day began with light rain, but by 10am the rain ; had changed to heavy snow, which fell through the day. At post ; time, about 3 inches, 7cm of slushy snow had piled up, with up ; to 1 foot, 30cm forecast. The temperature of 34F +1C was a bit ; above freezing, but the snow fell faster than it could melt. ; The fractal cats spent much of the day in their watch-window, ; watching the big floppy snowflakes come down. ; ; I spent the day readying the snow-clearing stuff, while FL gave ; moral support. The next FOTD will be posted in 24 hours. Until ; then, take care, and I still do not believe that aliens from ; outer space are visiting earth, but now that it looks like ; neutrinos might be able to travel faster than light, I can no ; longer say with certainty that it is impossible. In fact, since ; travelling faster than light means going backward in time, maybe ; the 'space' aliens are our own descendants from the future, ; visiting their distant ancestors, who are us. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= One_Crazy_Minibrot { ; time=0:00:51.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.5253127943779698/+0.0013009090856459\ /33046/1/-50/0 params=1/3/-0.355/4/0/0/0/0 float=y periodicity=6 maxiter=1800 inside=0 logmap=30 colors=000MKINKJOKKPKLQKMRKNSKOTKPUKQVLRWMSXNUYOWZ\ PY_R``TdaVhbXkcZmd_oe`qfasgbthcthdthftihujjvlluLzR\ 0XI3`HFeGbgGolGzyekhhdjkZlnSoqf3Rc4P`4MX4KU4HR5FO5\ CL5AMOcNQYOSSpp0fh8X`Ffe0X_B4ML9OMEQMJSMiO6cQAZRET\ TIVKscgWYbSTYPU5ESEHQMKCYaGWWKVRF6eaAtYFkVKbRPUvcH\ yo4lgA_`GPVfOUWJbJMYLZrLESbITX_coORrOTRI4XKBULHRNO\ OYOsVQjTRbQTUtJVcPQbnkVcZrMvbQc1yvbHsSs3QfDwVIkUK_\ UL0vs8lgGbXXasUZgRWXxcpeZ`s4icHY7VRCUPGUOmUNmILm5F\ mH9mIAmIGm54mwrmbmmJOmKPmLQmMRmMSmRUmVWmZYmb_mJ_mU\ VmdQmoLmzGmxOmvWmtcmrkmlbmfUm`MmPimMgmKfmIemGdm9Mm\ 23mBBmJImRPrTRrVTrXVrZWrXTrWRrWNrVOr3UrP3rc6rlOrgN\ rbNrYMrTJrULrx7rytrqkzibzaUzflzbez_ZzXSz7AzFEzNIz`\ 2zy7ziFzu2zk9zbGzUSzUPzJwzCxzHnzmdzmVzmLzmMzmozmez\ mWzmczmczmczmczmczmmzmmzmmzmmzzmzzmzzmzzmzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;