Rome Answer

Each of the things in square brackets is a little paint-by-number.  For example, [R=(3),C=(1,1,1)] gives .  Each of these "odd staircases" is a chomp board; using the mex rule, you can evaluate each board's nimber, and these gives rows and columns for a new paint-by-number:

When filled in, this gives

giving the answer CEASAR.