; Date: Thu, 11 Apr 2013 09:09:05 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 10-04-13 (The Mighty Midget [8.5]) ; Id: <1.5.4.16.20130411090832.363f2b6c@earthlink.net> ; --------- ; ; FOTD -- April 10, 2013 (Rating 8.5) ; ; Fractal visionaries and enthusiasts: ; ; The formula behind today's image is Z^(1.09)+C, a hopeless ; expression if ever there was one. But as today's image shows, ; things need not always be as hopeless as it first appears, and ; an expression as close to linearity as today's can produce ; interesting fractals when calculated with one of the alternate ; complex logarithms. ; ; The parent fractal is shaped like a torpedo, much as the ; minibrot at the center of today's image. In the range of ; exponents so close to unity, most all the fractals tend to ; resemble torpedoes, but this does not mean they are necessarily ; all the same. Check the minibrot in today's image, which ; actually creates a rather pronounced 3-D effect. ; ; Most of this effect is due to my semi-skilled coloring of ; course, and I rewarded myself with a full half point for the ; effort. The name "The Mighty Midget" is a comment on how the ; image gets so much from so little. The calculation time of ; 2-1/2 minutes borders on slowness. The web sites are there to ; avoid impatience. ; ; So make life easy. Check the finished image at: ; ; ; ; And check the hi-def variations at: ; ; ; ; The back images are filed online at: ; ; ; ; Midsummer arrived with a bang here at Fractal Central today, ; with a temperature of 86F 30C and an afternoon thunder-shower. ; The fractal cat said enough heat is enough and started searching ; for a cooler spot than the window shelf. The humans meanwhile ; had an average day. ; ; The next FOTD will be posted before long, though I'm not sure of ; the route. Until whenever and however, take care, and be ever ; aware of the dangers inherent in making hasty decisions that ; will do nothing but make someone feel better. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= The_Mighty_Midget { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.192308145885724/-1.991515836863857/\ 2998.507/1/57.5/0 params=1.09/0/525/0 float=y maxiter=5000 inside=0 logmap=140 periodicity=6 colors=00060F70F70F80F90F90FA0FA0EB0EC0DC0DD0DD0EE\ 0EF0FF0EG0DG0BH09I08I06J14J03K14K24K34L44L54L64M74\ M84M94NA4NB4NC5ND5OE5OF5OG5PH5PI5PJ5QK5QL5QM5QN5RO\ 6RP6RQ6SR6SS6ST6TU6TV6TW6UX6UY6UZ7U_7V`7Va7Vb7Wc7W\ d7We7Xf7Xg7Xh7bn7_k7Xh7Ve7Sb7Q_7NX7KU7IR7FO7DL7AI7\ 7H58G68G78G78G88G98G98GA8GB8GB8GC8GD8GD8GE8GF8GF8G\ G8GG8FH8FI8FI8FJ8FK8FK8FL8FM8FM8FN8FO8FO8FP8FQ8FQ8\ FR8FR8ES8ET8Qh8Qg8Qf8Qe8Qd7Qc7Qb7Qa7Q`5UeN6SQBWTGZ\ VLaYQe`Vhd`mbZkaXj_VhZTgXReWPdVOcTMaSK`QIZPGYNEWMC\ VN9WLBUKDSJEQIGPGINFJLELKDMIBOGAQF9RD8Tz6Vz5Wz4cz4\ `z3cz3Xz3cz3Uz3cz3Uz2cz2Uz2cz2Uz2czUUzUUzUUzUUzUcz\ UczUczUczUczUczUczUczUczUczUczUczc_kcbjceichhckgcn\ fclecjechecfecdeccecceccecceccecczcczcczcczcczcczc\ czcczcczmmzmmzmmzmmzmmzmmzmmzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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|