On Sat, 6 Mar 2004, Hiram Berry wrote: (...)
So, when David brought up the cubic Mandelbrot sets, which have a third parameter, it occurred to me that we could do slicing in their Julibrot-equivalent spaces, ie. an R2 slice in an R6 space, if you are comfortable with splitting a complex dimension into two real parts. (...)
From what I read about the cubic, it has two differentials to iterate. I'm not sure how you would do that in the parser. You might perhaps make a palette with three stripes of red, blue, and green, each of them in the middle of a graymap of 85. (Equals is a special case of striping). If one equation escapes, then you color it red by waiting three times the number of iterations. If the other escapes, then you wait three times the number of iterations plus one to colour it blue. For both, the loop would wait for 3*iterations+2 to color it green. The hard part is how you might handle points that escape within 85 iterations when the two equations aren't escaped at once. _______ RainFly { reset=2003 type=formula formulafile=rainfly.par formulaname=butterfly center-mag=0/-1.23205/0.6666667/1.1211 float=y maxiter=255 inside=0 outside=atan invert=0.5/0/-0.5 colors=000z50z70zB0<3>zJ0zL0zM0zN0zP0zR0<5>z_0z`0za0zb0zd0<14>zu0zv0zw\ 0zx0zy0<14>lz0kz0jz0<5>bz0az0`z0<4>Tz0Sz0Rz0Pz0Nz0Mz0Lz0Iz0Hz0Ez0Dz0Bz\ 0<2>0z00z30z70zB0zD0zH0zJ0zK0zL0zN<3>0zS0zT0zV0zX<4>0zc0zd0zf<14>0zu0z\ v0zw0zx0zy<8>0rz0qz0oz<4>0jz0iz0hz<8>0Xz0Vz0Tz<3>0Pz0Nz0Lz0Jz0Hz0Gz0Dz\ 0Bz<2>00z30z70zB0zD0zF0zG0z<4>P0zQ0zS0zT0zV0z<2>_0z`0za0zb0zc0z<3>h0zi\ 0zk0z<9>u0zv0zw0zx0zy0z<13>z0mz0lz0k<3>z0fz0dz0cz0az0`<4>z0Vz0Tz0S<3>z\ 0Lz0Jz0Hz0Gz0D<3>z04 } Butterfly(YAXIS) { z=(0,0), c=flip(-pixel): temp = sqr(z) z = temp*z -conj(temp) +c LastSqr <= 4 }