"Where the imaginary will take us this time?" --Ken Nordine I put all my rounder-router stuff on a web page: http://www.tiac.net/~sw/2008/04/RounderRouter/ ...including an applet, Processing code, Python code, C code, php code, a table of stats, a data file of 2^27 values of f(n)-f(n-1), and an audio version of that data. Jim Propp says of the applet, "one sees (after a few thousand steps) that some of the forms are travelling upward and others are travelling downward, like the angels in Jacob's dream." This is a 1D+time automaton like Wolfram plays with, except it has the property that an incremental change to the initial state causes an incremental change to the whole history. So, there are two nested time dimensions: n, the number of particles that have been added, and what I call t, the row of the triangle. --Steve