; July 9, 1997: Kind of a Brot ; ; kind of ; ; Fractal visionaries: ; ; In between exploring Mars and other tasks I did find one respectable ; fractal today. I named it invminus because it's a picture of the Z^(-2) ; Mandeloid turned inside out. ; ; When the fractal created by a positive power of Z is turned inside out, ; the result is an island of escaping points surrounded by an ocean of ; trapped points. The fractal associated with a negative power of Z is ; already an island, so what happens when such a fractal is inverted? As ; expected, the resulitng fractal appears as a lake of trapped points ; surrounded by a continent of escaping points -- the same as a positive ; exponent image. ; ; In fact, the Z^(-2) fractal, when inverted, curiously resembles the ; classic Z^2 Mandelbrot set. It is this image that I have captured in ; today's fractal. There might be lots of interesting places to explore ; in this scene, but I have yet to look any deeper into it than the ; attached image. ; ; The finished fractal is posted on a.b.p.f. and a.f.p. Now I must get ; back to Mars. ; ; Jim Muth ; jamth@mindspring.com ; ; START 19.6 FILE============================================= Kind_of_a_Brot { ; time=0:00:14.94-SF5 on P4-2000 reset=1960 type=formula formulafile=jim.frm formulaname=JimsComMandJ passes=1 center-mag=-1.6/\ 0/0.2566839/1.2871 params=-2/3/-0.77/0/0.4/0 float=y maxiter=3000 inside=0 logmap=yes periodicity=10 colors=000CQGESGGSFISFKSEMSEOSDQRDSRCURBWRBYRAZRA`\ R9bR9dR8fR7hQ7jQ6lQ6nQ5pQ5rQ4tQ3vO3vQ3vR3uT3uV3uW3\ uY3t_3t`3tb3td3tf3sg3si3sk3sl3rn3rp3rq3rs3qu3qv3qx\ 3qy3ow4nv5mt6ks7jr8iq9hoAgnBemCdkDcjEbiF`hGZgGXfGV\ eGTdGRcGPbGNaGMaHK`HI_HGZHEYHCXHAWH8VH5UF7VG8WIAXJ\ BYKDZLE_NG`OIaPJbQLcSMdTOeUPfVRgXShYUiZWj_YlcYkaXi\ _XhXWgVWeTVdRVbPUaNU`KTZITYGYYHbYIgXJlXKtZOqXLnVHk\ TEgSBdQ8aO4ZM1YM3YL5XL6XK8WKAWJCVJDVIFUIHUHJTHLTGM\ SGOSFQRFSREUQEVQDXPDZPC`OCaOBcNBeNBfODgPEgQGhRHhRI\ iSJiTLiUMjVNjWPkWQkXRkYSlZUl_Vl`Wm`XmaZnb_nc`nbcmb\ bmc`nc_ndYndXndVoeUoeSoeRodOpeQoeRofTnfUngWmhXmhZl\ i_ljakjbjkdjkeilgimhhmjhnkgnmgonfpperthpqennblk`ki\ YifVgcSe`QcYNaVK`THZQFXNCVK9ULCUNFTOITQLSROSTRRUUR\ WXQX_QZbP_ePahObkOcnNfsNeqOdoOcmObkPaiP`gP_eQZcQXa\ RW_RVYRUWSTUSSSSRQTQOTPMTOKTNJUMIULIUKHVJHVIHVHGVG\ GWFGWEGWDFWCFXBFXAEX9EAOG } frm:JimsComMandJ {; Jim Muth z=c=pixel, a=real(p1), b=imag(p1): z=z^a*(c^b)+p2+(p3*c), |z| <=100 } ; END 19.6 FILE=============================================== ;