iheartgirtrude (November 30, 1999 at 12:00 am)

i guess this explains deja vu pretty well

ErkDemon (November 30, 1999 at 12:00 am)

Re: formulas, the MS formula is technically a subset of the JS formula, with two of the four JS parameters set to zero. In that sense, the MS is a subset of the JS. Due to local self-similarity in 4D, small MS regions can show versions of the same characteristic shapes that appear in the corresponding JS slices, but the MS only "contains" the JS in the sense that a drawn map "contains" its surroundings - the map provides a distillation (rather than a superset) of the surrounding landscape.

ROCKETBOOM (November 30, 1999 at 12:00 am)

Im pretty sure you have that backwards. The Mandelbrot set includes the complete Julia set formulas.

ErkDemon (November 30, 1999 at 12:00 am)

Almost. The Mandelbrot Set isn't the "uber-fractal". The Mandelbrot set and the Julia set both use the same basic formula, but the Mandelbrot set only plots two of the four available parameters (0,0), (x,y), whereas people normally use the other two parameters to plot a "Julia" image, and use the Mandelbrot pair to decide which Julia image to plot (x,y), (select#1, select#2). So the full Julia set is a four-dimensional fractal (ab),(cd) that includes the Mandelbrot set as a cross-section.

jjbrito2001 (November 30, 1999 at 12:00 am)

yeah, I have lived the future for 3 seconds,and comeback to reality. i was only 10 years old, I knew i was not crazy.

tuor1976 (November 30, 1999 at 12:00 am)

nice. what about Lorenz?