; Date: Mon, 25 Nov 2002 09:09:00 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 25-11-02 (Just Another Midget [5]) ; Id: <1.5.4.16.20021125091104.2acffe56@pop.mindspring.com> ; --------- ; FOTD -- November 25, 2002 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal, which mixes fractional parts of Z^(101) and ; Z^(-1.5), is a picture of another midget lying in a valley of ; its parent. And the parent is another indescribable fractal ; with a critical area filled with bits and pieces of Mandel- ; material, where the midgets are found. ; ; In response to these undeniable facts, I have named the image ; "Just Another Midget". I rated it at only an average 5. I ; know of no reason for the merely average rating. The colors ; might be a bit too brilliant, but fractals can look good with ; bright colors. I am simply dis-satisfied in some way. ; ; Why do I feel this vague dis-satisfaction with today's image? ; Nothing is wrong with midgets, (Minibrots, atoms). They are ; among the most interesting of fractal objects. But though their ; number is infinite, they comprise only a tiny part of the vast ; universe of fractals. Could I finally be becoming bored with ; midgets? A couple years ago I went an entire month without ; featuring a midget in the FOTD. Perhaps I need another such ; break. ; ; Perhaps I need to return to the preoccupation with four-dimen- ; sional figures and the curiosities of four-dimensional space ; that filled the FOTD discussions a couple years ago, when I ; posted many images of odd slices of the 4-D Julibrot figure. ; ; The Seahorse Valley area of the Mandelbrot set is perhaps the ; richest area of that best-known of all fractals. Its Julia sets ; are among the finest the M-set has to offer. But in addition to ; Julia sets, the four-dimensional Seahorse Valley area can be ; sliced to create Oblate sets, Rectangular sets, Elliptic sets ; and Parabolic sets. These less-familiar sets illustrate slices ; through Seahorse Valley in the remaining four mutually-perpendi- ; cular directions of 4-D space, and they are quite rich in an ; entirely new way. ; ; I think I will make December the month of the fourth dimension. ; The images will feature odd slices of the Z^2+C Julibrot, and ; the discussions will tell of the curiosities of 4-D space. Mini- ; brot lovers need feel no concern. When the new year arrives, ; the Minibrots will return, though not in the nearly exclusive ; manner of the past year or so. ; ; Today's image, which I have almost forgotten in my hyperspace ; ramblings, renders in under 10 minutes on my tired old fractal- ; workhorse P-200 machine. The file of the completed GIF image ; downloads in only a minute from one of the following two web ; sites: ; ; ; ; ; ; The weather Sunday here in the Fractal Central part of the world ; was near perfect, with full sun, light breezes, and a tempera- ; ture of 59F 15C. The cats were happy and so was I. No treats ; were needed. ; ; Today is promising to be a repeat, except that I now have a pile ; of work before me. Actually, it's a virtual pile, since the ; work is contained on a computer disk. When the work is ; finished, the fractals will appear, and one of them will be the ; FOTD for tomorrow. Until that serene moment, take care, and ; beware of rogue fractals lurking in the shadows. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ JustAnotherMidget { ; time=0:09:35.84--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.71809236052173200/-0.114940189613520\ 40/88703.96/1/172.5/1.31302241301867184e-009 params=0.26/101/0.4/-1.5/0/0 float=y maxiter=1500 inside=0 logmap=73 periodicity=10 colors=0006PQ6P06Q06R0AS0FT0KU0PV0UW0ZX0cY0hZ0m_0r\ `1wa3x`2wZ2wY2vW2vV2uT1uS1tQ1tP1sN1sM0rK0rJ0qH0qG0\ mcwncvocvpcuqdurdttdsudsverwmrxmqymqxfpwmovgnummuh\ lthksijriiriinjfkkdhlbem_anYZoWWpTTqRQrPPpROnTOmVN\ kXNjZMh`MgbLedLdfKbhKajJ_lJZmK`jKahKceKdcKe`KgZKhW\ KiUKkRKlPKmMKoKKpHKqFKsCKtAKu7Kw5Kx2Ky0Mx1Nw1Pv1Qu\ 1Ru1Tt1Us1Vr1Xq1Yq1Zp1`o2an2bn2dm2el2fk2hj2ij2ji2l\ h2mg2ng2anRD3XC4XB5XA6X97X88X79X6AX5BX3DV4CX5CY6BZ\ 7B`8Aa9AbA9cB9eC8fD8gE7hE7jF6kG6lH5mI5oJ4pK4qL3rM3\ tN2uO2vO2w`JKaMMbPOcSQdVReYTf`VgcWhfYii_jl`koblrdm\ tehsadrZ`qWWpTSoPOnMJmJFlG6qCBkDbfELaEeXFhRGiMGiHH\ j7JiCHkGFpKEnOCpSBrW9s`7uc6wg4yn2xk3xh3xf4wc4wa4wZ\ 5wX5vU6vS6vP6uM7uK7uH8uF8tC8tA9t79w28t59r8ApABmDCk\ GDiIEgLFdOGbQH`TIYWJWYKU`LScMPeNNhOLkPImQGpREsSCuS\ EvVFwYHx_IybKzeLzgNzjOzmRzqPzoOzmNzkLzjKzhJzfHzdGz\ cFzaDz_CzYBzX9zV8zT7zR7zS } frm:MandelbrotMix4 {; 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, 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================================== ; ;