For identifying individual squares, I was thinking to go with Face:##. In my original system, the Face would be the two- or three-letter Face code, with the rank-and-file following W to B, W to E, N to S, and H to L (just use whichever two dimensions the Face sits on, in the order on that list, in the usual notation format), like the Archbishop starting at WH:d3. With Fegus's system, it'd be the two-digit code for the face, and a two-digit code going from the highest-numbered neighbor first, and from the second-highest next, making the same Archbishop start at 01:23 (I think).
I have yet to see how any of that would work in practice, though. (Tesseracts are much trickier to work with than cubes. Cubes are dogs; tesseracts are cats.)
For identifying individual squares, I was thinking to go with Face:##. In my original system, the Face would be the two- or three-letter Face code, with the rank-and-file following W to B, W to E, N to S, and H to L (just use whichever two dimensions the Face sits on, in the order on that list, in the usual notation format), like the Archbishop starting at WH:d3. With Fegus's system, it'd be the two-digit code for the face, and a two-digit code going from the highest-numbered neighbor first, and from the second-highest next, making the same Archbishop start at 01:23 (I think).
I have yet to see how any of that would work in practice, though. (Tesseracts are much trickier to work with than cubes. Cubes are dogs; tesseracts are cats.)