; May 22, 1997: It Ain't No Banana ; ; banana ; ; Fractal visionaries: ; ; Most people have no idea what a fractal is. When they hear a Julia set ; mentioned, these people picture a set of fine dinnerware; when they hear ; the Cartesian plane mentioned, they picture a high-tech airplane; when ; they hear imaginary numbers mentioned, they think of falsified data. ; ; In my experience, people are often turned from fractals by too much talk ; about the math involved. Nerdy words such as maxiter, derivative, ; transcendental, and hypercomplex bring nothing but puzzled expressions, ; and give fractal art an egghead aura that it really doesn't deserve. ; This is why I try to keep my fractal formulas and discussion as simple ; as possible. ; ; Today's fractal, an oblique slice of the (-Z)^1.05 mandeloid, is a ; pretty simple one, but a rather striking one. I never cease to be ; fascinated by the unique detail hidden in the lake area of these ; ultra-low order figures. One of these years I'm going to devote an ; entire month investigating these deceptively simple little fractals. ; But for now I'm developing an interest in Newtons. ; ; Jim Muth ; jamth@mindspring.com ; ; START PAR FILE FOR 19.6========================================= It_Aint_no_Banana { ; time=0:00:20.00-SF5 on P4-2000 reset=1960 type=formula formulafile=basicer.frm formulaname=JulibrotInvZ passes=1 center-mag=0.0662256/0.294656/0.6195263 params=1.05/0/0/1.3/0.5/0 float=y maxiter=90 bailout=100 inside=bof61 logmap=yes periodicity=10 colors=000s5Mq9LpDKnHJlLIkOIiSHgWGf_FdcEbbE`eD_ZCY\ bBWVWVXmJRc7Np8No9MnAMmBLlCLkEKkFKjGJiHJhIIgJIfKHe\ LHdMGcNGbPGbQFaRF`SE_TEZUDYVDXWCWXCVYBUZBT`ATaASb9\ Rc9Qd8Pe8OeANfCNfDMgFLgHLhJKhKJiMJiOIiQHjSHjTGkVFk\ XFlZEl_DmaDmcCmeBngBnhAoj9ol9pn8po7qq7qs6qt6ps8or9\ nrBmqClqDlpFkpGjoHioJhnKgnLfmNelOdlPdkRckSbjTajV`i\ W_iYZhZYh_YgaXgbWfcVeeUefTdgSdiRcjQckQbmPbnOaoNaqM\ `rM`sMarMarMarMarMarMarMarMarMarMarMarMarMarMarMar\ MarMarMarMbrMbrMbrMbrMbrMbrMbrMbrMbrMbrMbrMbrMbrMb\ rMbrMbrMbrMbrMbrLaqKapKaoJ`oJ`nI`mI`lH`lH`kG_jG_iF\ _hF_hE_gE_fDZeDZeCZdCZcBZbBZaAYaAY`9Y_9YZ8YY8YY7XX\ 7XW6XV6XV5XU5XT4WS4WR3WR3WQ2WP2WO1VO1VN0VM2WM3XM5Y\ N6YN8ZNA_NB`NDaOEbOGbOHcOJdPLePMfPOgPPgPRhQTiQUjQW\ kQXlQZlR_mRanR`sS_wTZxPZxMZsIZsFopJqmNgkOikRjhUkeX\ lb_hYbnTdqOgpPjmOpnPpoKupJwpMupMtpLspLrpKrpKqpJppJ\ opInpImpHlpHkpGkpGjpFipFh } frm:JulibrotInvZ {; Jim Muth z=pixel, c=p2+(pixel*p3): z=(-z)^p1+c, |z| <= 100 } ; END PAR FILE FOR 19.6=========================================== ;