; Date: Thu, 07 Sep 2006 00:28:44 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 07-09-06 (Towers of Hanoi [6]) ; Id: <1.5.4.16.20060907002940.29afc04a@pop.mindspring.com> ; --------- ; ; FOTD -- September 07, 2006 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's FOTD image takes us to East Valley, aka Elephant Valley, ; where we check the elephants, the goofy-looking eyes and noses, ; and the typical East Valley brain-like patterns. What's this, ; you see none of this stuff? That's because we're looking at the ; valley from an entirely new direction, roughly from above the ; screen. ; ; The generous stretching (1380 times) in the vertical direction ; was necessary to bring out the detail. Without stretching, the ; image would consist of little more than a few horizontal lines. ; As it is, the scene looks like two oriental towers. ; ; I named the image "Towers of Hanoi" after a mathematical puzzle ; I saw in the 'Believe it or Not' comic strip many years ago. ; The goal of the puzzle is to take a peg with 64 discs stacked on ; it, which increase in size toward the bottom of the pile, and ; transfer the stack of disks to another peg, with the largest ; disk again on the bottom. At no time may a larger disk be ; placed on top of a smaller disk. There is a third peg to make ; the transfer possible. ; ; Priests in the temple of Hanoi have been working on the puzzle ; for thousands of years, and when the transfer is completed, the ; world will vanish in a thunderclap. But there is no cause to ; worry, for 10^64 transfers are needed to do the job. Making one ; transfer per second, the priests would need something like ; 3*10^53 years to finish their task. But I only hope no one ; finds a short cut. ; ; The rating of a 6 was given without much thought. The speedy ; render time of 34 seconds is true on my fractal machine. The ; completed GIF image has been posted for convenience on the FOTD ; web site at: ; ; ; ; A picture of the new fractal cats is posted there also. ; ; A brief shower in the early afternoon did not spoil an otherwise ; fine day here at New Fractal Central. Generous sun and a temper- ; ature of 75F 24C kept the new fractal cats happy. Actually, I ; think the toy bird we picked up this morning at the Pet Mart ; kept them happier than the weather, which they usually ignore. ; The standard treat of tuna for Cassie and cheese for Nico fin- ; ished a near perfect day for them. ; ; My day was busier than yesterday but still under control. Unfor- ; tunately, I can not say the same for Friday and the week-end. I ; expect a big job to arrive late tomorrow, which will be due next ; Wednesday. It might force me to miss a few FOTD's. But never ; fear, the daily FOTD is in no danger of vanishing forever. (Of ; course, that's what the crocodile hunter said . . .) Anyway, ; until the next FOTD appears in 24 hours, take care, and try to ; keep your technology under control. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Towers_of_Hanoi { ; time=0:00:34.28--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new center-mag=0/-0.027\ 83359565155030/1380.708/0.0009649 params=0/45/2/0/\ 0/0/0.28/0.0001 float=y maxiter=10000 inside=0 logmap=58 symmetry=yaxis periodicity=10 colors=000OxzOxzKxzGxzDwz9vz5uz2tz4sz5rz7qz8pzAozB\ nzDmzElzGkzHjzKizMhzPgzRfzTezWcyYax`_wbYvdWugVtiUs\ lTtnSspRrRUZTWXVYWX_VZ`U`bTbdSdfRegQgdRibSk_TlYUnW\ VpTWrRXsPYuMZwK_xI`pLYiNVbQSVSPOVMHXJSg6ak3vSRpUNj\ WJeXFB87LJ78mO5ZG2K8BsxiyxUfcFOKurzfejTUVEIF6FC4C8\ 294ckzKRVhoaU_PFLCDX3jmnNSPvzM2YE1RA1K70D3ykoi`bVR\ QFGDzkvj`gVRTFGEp78Q64jBW7VhKqFDaA6M5Etk7VO4zD3o92\ `61L3MAeG9VB8L57A6xh3XMVoGteaaUPJICa`SPQICG927z16V\ vZiTKN5Wp3NZ1EHNp2WJoLEYAAH6zd3ZKqzJ883672471260uP\ OaIGJC8DEI6A99S3ef2VX1LO1AF06wcVz6Ki4AQ22e7U`sMTeF\ LS7DEg9lX8_M7OB6CZI3QF2HC189058s27S8iEXeXGOGkNzOEV\ ggYTVMEIBf`mLLPvV_gORTIIEC9eJ6SE4EA2WWLwCjCtt9ge6V\ S3IEI`CCQ86G4nq6PU32v91W4uEB_y7ozUbpMQ`FDL7`SFRMBI\ H79B3MlBEY77K3hU8UM5FE2AVO5ICBYs7O`3FInj5PQ2_9GB8O\ 87I57C266kztWgaGPJzzrjmdVZRFKDzzijkYVYNFKBLh0yYTS9\ jI8V97FEpFAdB7T73H3ZVBNM7 } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE========================================= ; ;