God damn i get to this formula(trouble in 4d), and had yesterday a superb representation of a multi-d probleme, i dismiss the formula by error, my wrist knot touch backspace will i was buzzing with keyboard #2 and pov ray anyway. Here a area with no dimensional probleme, and the two dimensional aim are present, mostly best fractal base than mandelbot, i call them bottom in bottomless [pit is relative] and basicaly dad general for most fractal systeme.... Also Benoit Mandelbrot, i did check the moment of is death in a prime year 2011 and the one i saw on t.v. was not the same that i see thru internet...hummm -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/ start parameter file============================= in_a_pit { ; bottom of a bottomless pit reset=2004 type=formula formulafile=2012_4.frm formulaname=periodic1 corners=-0.73876447/-0.48278487/0.82552487/1.0175366 params=0.5/1/1/1 inside=0 potential=120/200/4 colors=@default.map } frm:periodic1{;sinpix a=real(p1)+imag(p1) b=real(p2) c=imag(p2) z=q=pixel: x=sin(a*0.0311844*z) y=tan(a*0.-0.6228948*z) t=sqr(z)+q z=a*(z^x+z/y)+b+q^c+a*t |z|<100 } end parameter file==================================