Heres all the info I could figure out for the A grid. It looks like at most points there are at least like 5 dimensions to work into. Horizontal movement, diagonal, parabolic (x2), parabolic again if at the origin, then increasing t values for a given cell. I want to do these for every grid. The e+2a, n+1 movement is common though so I wanted to do the A grid first.
sorry about that first part forgot I was working on something..