FOTD -- February 25, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image was again produced by a hard-coded formula, which shows that it is possible to produce interesting images with the good old 'warhorse' formulas. There is a strange rectangle in many of the Julia sets of the East Valley area of the large minibrot on the main stem of the Z^(2.003)+C Mandeloid, which is in the process of splitting into two separate minibrots. I have shown this rectangle many times over the FOTD years, but rarely have I distorted it and tracked it to its dissolution. In today's image I dissolved the rectangle by raising the exponent of Z ever so slightly to see what effect the change would have on the rectangle. The effect was dramatic. The rectangle began to break up and soon totally disappeared. But it left its ghost behind, and this ghost was made visible by rendering the scene with the inside set to 'bof61'. The rectalngle's ghost appears as the 4-sided area of chaos in the throat area of the 'fat man', which inspired the name "The Fat Man Dances". The fat man figure is actually the 'inside' part of the fractal. I could give no rating to an image that is 90-percent mathemati- cal interest and only 10-percent artistic, so I let it go with a rating of a question mark. But it's still a rather interesting image that calculates in a measly 43 seconds, at least on my machine. To make things even simpler, the pre-calculated image is or soon will be posted for instant gratification on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy day with a temperature of 39F +4C here at Fractal Central on Wednesday kept the fractal cats near the heat. My day was close to average. The next FOTD will be posted in around 12 hours. Until then, take care, and fractals defy Occam's razor. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= The_Fat_Man_Dances { ; time=0:00:43.26-SF5 on P4-2000 reset=2004 type=julzpower passes=1 center-mag=0.00019/0.0602946/10.81732 params=-1.7435/0/2.00312/0 float=y maxiter=750 bailout=9 inside=fmod periodicity=6 colors=000AMQAojAjgA5iA5fA6cA6`A7YA7WA8UA8SAAFA9QA\ APAAOAAMABQABUCCYECaFCeKGaOKZSOVWSS_WOc_L`bKYdJVfJ\ ThIQjHNlHLnGIpGFrFDtEAvE7xD9zDBxLHvSNt_TrfZpm`lpbi\ rcftecvg`xhYze_ucapack_efYgaWiYUkTSmOQoJUqEZsActBh\ tCmuDruEvuFzvzzvzzwzzwzzwzzxzzxzzyzzzzzz`zzazzb9_c\ 8`d7be7cf6eg5fh4hi3ij3jkFaPQT2RW8RZDSaJSdOSgUTjZTm\ dTpiUsoUvtUyyTtuTpqSlmSgjRcfR_bQV_QRWPNSPIPOELOAHO\ 6ERBHUGJXLM_QObVQe_ThdVkiYnn_pranpbmoblnbjmcilchkc\ gjchb_iVXjNTt8tQ7PT9QWAQZBQ`CQcDQfEQiFQD2EI4GM6HR8\ JV9KZBMcDNgFPhk6icBjWGkOLoQgmLZCPy05eG9_WDVqy7oiEm\ VK1d`9_ZHWXPSVXOTdKRtXbrT_pQXnMVlJSf_AgWEhSHiOKjKN\ 8tAGkEOcHWWKcON`bQxiHK4_P6YT8XYAVbCTlKPgER_XeaUbcS\ `ePZfNWhKUjIS9DuFEpLEkQFgWFb`GZfGUPFBXGGdGLKG40__8\ WYGTWOQVWMTcJRr9WkPTTCDXDG_EIbEKeFMhGOw`_uYYsVXqSV\ pPUnMSlJRw4k8agGXcOT_WOXcKT1_f7XcDVaJS_PQYVNW`LUfI\ SYKCbIHgHM`pLbiMdcNfYOhSP } END PARAMETER FILE=========================================