Attn: Grass_Hopper

In Chess 960 the starting position is symmetrical, and the king must start between the rooks ...

Interesting, this symmetry. Of course, the starting positions of white and black are symmetrical with respect to each other. How about "symmetry" between left and right sides of the board, except for the king-queen duo?  In twenty Chess 960 games, I have been privileged to have only one such "symmetrical" starting position.  It was: BRKNNQRB. I think that there may be 17 such starting positions -- if not, I stand to be corrected -- among the 959 different starting positions of "Chess 960".