; Date: Mon, 16 May 2016 19:44:54 -0400 (GMT-04:00) ; From: Jim Muth ; Subject: [Fractint] FOTX -- May 16, 2016 ; Id: <5051414.1463442295064.JavaMail.wam@elwamui-rustique.atl.sa.eart ; hlink.net> ; --------- ; ; FOTD -- May 16, 2016 (Rating A-7,M-9) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is strange. The strangeness does not appear on ; the surface, which is a simple image of the large minibrot on ; the main stem of the Mandelbrot set. But do not yet give up ; hope. To see something strange indeed, check the obvious ; minibrot at the top center edge of the frame, on the filament ; extending from the northern bud of the large minibrot. ; ; What is this we find?! An order 7 minibrot with quadratic ; surroundings!? ; ; Assuming that you have already seen the mysterious 'brot, how is ; it possible? The minibrot is of order 7, nothing at all like ; the quadratic minibrot from which its filament extends. In ; fact, everything deeper in the same parent fractal is of order ; 7, while everything closer to the surface has a quadratic ; nature. The formula does it all. ; ; As an extra surprise, raise the already huge imag(p1) parameter ; a few orders of magnitude and watch the order 7 minibrot ; gradually morph into a quadratic one. ; ; Another bonus with this formula, which is several years old, is ; that it is possible to generate minibrots of fractional orders ; with none of the discontinuities that spoil scenes and minibrots ; created the easy Z^(2.5)+C way. ; ; The day here at Fractal Central began clear and frosty. It was ; reported that this morning's low of 34 was the coldest it has ; ever been in Central Pennsylvania this late in May. But once ; the sun got to work later in the morning, the temperature ; reached a rather pleasant 68F 20C. And yes, we do have kittens ; under the fractal back porch. Their mother had them out ; exploring the fractal yard this afternoon. ; ; Well, I guess that's it for now. I'm sorry to hear that I ; should take it easy on the divisive philosophy for fear of ; causing too much off-topic debate. But as I see it, according ; to the scientists who have spent their lives studying such ; things, the sub-atomic world and fractals are actually the same ; things -- the mental images created in people's minds by the ; underlying numbers, and it's hard to accept a real objective ; world or a real fractal world made of building blocks that are ; no more solid than mathematical abstractions. If I'm wrong ; here, squelch the debate in the bud by showing where my ; thinking has gone astray. ; ; If I see things getting too contentious on the list, I might ; start my own mailing list, where fractal philosophy will come ; first. I hope not, since I'm working on a few very interesting ; new Fractint formulas. ; ; The next FOTX will be posted in a couple days. Until then, take ; care, and why does merely discussing reality cause such intense ; feelings? Maybe it's not fractally correct. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.76264/0/34.7844 params=7/20000000\ 000.0/0/0 maxiter=1500 inside=0 periodicity=6 colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ vQPgHHT88Ex0Mp0Jh0Ga0DU0B } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;