; Date: Tue, 15 Jan 2008 16:57:06 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 16-01-08 (Pipefish Valley [6.5]) ; ; Id: <1.5.4.16.20080115164656.0e5ffce8@pop.mindspring.com> ; --------- ; ; FOTD -- January 16, 2008 (Rating 6.5) ; ; Fractal visionaries and enthusiasts: ; ; We have another new formula today, so be sure to copy it into ; one of your formula files. The formula draws oblique slices of ; (-Z)^n Julibrots. ; ; I named the image "Pipefish Valley". A pipefish is a kind of ; seahorse without the curly tail, and today's image is a near- ; Julia set of the large valley of the (-Z)^(1.125)+C Mandeloid. ; This valley cannot honestly be called a Seahorse Valley, since ; it has no curly-tailed seahorses, but it is interesting nonethe- ; less, and especially so in its near-Julia aspects. ; ; The pure Julia set of the valley is a rather drab empty figure-8 ; shaped figure, but by centering the view on the inside of the ; upper arm of the valley and rotating the view 2-1/2 degrees ; toward the Mandelbrot orientation, I managed to make a rather ; interesting image of it. ; ; A good part of the scene consists of 'inside' stuff made visible ; by the 'bof61' inside fill. The coloring adds an unusual ; textured smoothness to the scene. I credited myself the usual ; 1/2 point for the coloring, and rated the image at a 6-1/2. ; ; The image is a slow one, taking over 41 minutes on the fast ; machine, so I recommend viewing it on the FOTD web site at: ; ; ; ; A typical midwinter day prevailed here at Fractal central on ; Tuesday, with cold winds, lots of gray clouds and a temperature ; of 34F 1C. And the forecast is for things to become even more ; winterish over the next several days. The fractal cats were too ; busy sulking at each other to notice the weather. My day was ; about average. The next FOTD will appear in 24 hours. Until ; then, take care, and if God, who is never wrong, tells me the ; future, will I still have the free will to avoid the things he ; tells me will happen? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Pipefish_Valley { ; time=0:41:38.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot5 passes=1 center-mag=-0.344371/0.0122124/1.180338 params=87.5/87.5/87.5/87.5/-0.7362027083/0.04/0/0/\ 1.125/0 float=y maxiter=30000 inside=bof61 outside=tdis logmap=12 periodicity=10 colors=000YT0WTBWSAVSAURAUR9TQ9SQ9SQ9RP8QP8QO8QO7P\ O7PN7ON7NM6NM6MM6LL5LL5KK5JK5JK4IJ4HO4GM3HJ4IF4IH4\ JI4JK4KL5KN5LO5MQ5MR5NT5NU6OW6OX6PZ6Q_6Qa7Rb7Rd7Se\ 7Sg7Th7Uj8Uk8Vm8Vn8Wp8Wq8UnDTlHRjLQhQOfUNdYLabK_fI\ YjHWoFUsESwFPvFNuFLtFJtFHsFFrFDqFBqF9pF7oE4qF5oG5m\ G5kH5iI5gI5eJ6cJ6aK6_L6YL6WM6UM7SN7QO7OO7MP7KO6GP7\ IP7JP7KQ7LQ7MQ7NR7OR7PR8QR8RS8SS8TS8UT8VT8WT8XT9YU\ 9ZU9_U9`V9aV9bV9cW9dWAeWAfYAgZAhcAihAjmAkrAnvBqzMt\ zUwzUzwXzrNzmBzjByf9wcAtaBq`CnZClYDiYEfXEdWFaWG_VH\ ZVHXUIVTIVTHUSHTRHTRHSQGQQGPPGPOGOOINNKNMMLMNJLPIL\ RGKSEJUDJVBIW9HW8HX6GY4GY3FZ4KZ5PZ6UZ7ZZ8cZ9hZAmZB\ rZBvZCzZDzZEzZFzZGz_Hz_Iz_Jz_Jz_Kz_Lz_Mz_Nz_Oz_P9_\ Q8_R8_R8_S8_T7`U7`V7`W7`X6`Y6`Z6wZ5w_5w`5wa5wb4wc4\ wd4we5wf4we4we4we4we4we4we4wemwzmwzmwzmwzmwzmwzmwz\ mwzmwzmwzmwzmwzmwzmwzmwzmwzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzz } frm:SliceJulibrot5 {; draws slices of (-Z)^n Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(p5)+c |z|<=9 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint