; Date: Fri, 06 Dec 2013 16:08:01 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 06-12-13 (Straight and Narrow [A-8,M-7]) ; Id: <1.5.4.16.20131206160801.2b170368@earthlink.net> ; --------- ; ; FOTD -- December 06, 2013 (Rating A-8,M-7) ; ; Fractal visionaries and enthusiasts: ; ; The strange object in today's image is a fractal bay trying to ; become a quadratic bud in the parent fractal that results when ; the formula Z^(1.333)+C is iterated 333 levels up the complex ; logarithmic hyperladder. This parent is a very unimpressive ; blob, an open area with almost nothing to attract interest. ; There is a small bay on the southern shore of the open area ; however, and it is this small bay that appears in today's image. ; ; Do not be fooled by the great height of today's scene on the ; hyperladder. The so-called hyperladder actually more of a ; hyperspiral, and the images found on it are a recurring periodic ; series rather than an infinity of ever new and more interesting ; fractals. ; ; The name "Straight and Narrow" does not refer to the difficult ; path to heaven. It describes the filament extending from the ; bud, which is filled with small minibrots. (Some of these ; minibrots might be worth a look.) ; ; The artistic worth of an 8 could be just a little inflated; the ; math worth of a 7 seems right on the mark. ; ; The calculation time of 1-3/4 minutes is a fair price to pay. ; For more fairness check the web sites. ; ; The fastest way to see the finished image is to check it on the ; FOTD web sites at: ; ; ; ; ; ; ; ; ; ; The day began with rain here at Fractal Central. The rain ended ; by 10am, leaving clouds that hung on into the afternoon until ; the rain resumed at 3pm. Ice and snow are expected tonight, but ; with a present temperature of 45F +7C, it will have to get quite ; a bit colder before anything frozen will fall. The fractal cats ; had little time to worry about the weather. Jazzy was too busy ; acting like a kitten and Nico was too busy watching her act so ; crazy. The humans had a rather quiet day, which is the way we ; like it. ; ; The next FOTD will appear in the near future. Until it does, ; take care, and I hear a lot of complaints about a lack of equal ; rights. If this were true, it could be remedied by proper ; legislation. But we have had laws granting equal rights for ; half a century. As I see it, the problem today is both a lack ; of the incentive to take advantage of the laws and the inability ; to do so. ; ; ; Jim (leaning to the right today) Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= StraightAnd_Narrow { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-0.369975/-0.635203/4.61/1/-167.5/0 params=1.333/0/333/0 float=y maxiter=4050 inside=0 logmap=11 periodicity=6 colors=00000000001A12A23C34E45G56I67K77M87O98QA8SB\ 8SC9SD9SE9SDASDASCASBBSBBSABS9CS9CS8CS7DS7DS9GOAIK\ BKGDNCEP8FR4HR9IREJRIKRNLRRMRWNR_PSZQTZSUYTVYUWXWX\ XXYWZZW__V``VbaUcbUdcTfdTgeSifSjgRkhRmiQnjQojQmkSl\ kUjlVilXhlYfm_em`dmbbncane_ofZohYoiWpkVplUpnSqoRqq\ QqrOnoNmlMmiKmgJpdIrcIraGrZFrXErUDrRBrOArMArJlcLlc\ MlcNlcOlcPlcQlcRlZSlZTlZUlWUlXVlYWlZXl_Yl`ZlX_lY`l\ Zal_bl_bnYZoXWpVSqUPrTLtRIuQEvPBwN7xM4yL1tO5pQ9lTD\ hVHcYLc_PcbTcdXce`cedcfhcflcgpciscgrcfrcdrccrcbqc`\ qc`qcaqcapcbpcbpcbpcaoc_ocZocYocWnbVndTnfSnhRmjPml\ OmnNmoPjpRgqTdqVarXZsZWs`TtbRudOufLvhIwjFwlCxn9yp6\ yr4zoAzkAzh0zc1zZ1zU1zP1yK1xF7wACvCIvENuGSuIYtKbtM\ gsOmsQrsSwpRsmQpjPmgOjdNgaMdZLabIoaHp`Fq_Dr_BsZAtY\ 8uX6vW4wW3xV4yV4zU4zU4zT4zT4zTKzSKzSKzRKzRKzQKzQKz\ QKzPKzPKzOKzOKzOKzNKzNKzMKzMKzLKzLKzLKzKKzKKzJKzJK\ zIKzIKzIKzHKzHKzGKzGKzGKz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|