John Whelan wrote on Wed, Dec 16, 2015 07:22 PM EST:
> If the Queen is your example, you must compare the Queen to the value of a Rook plus a Bishop, not to the value of two Rooks.
Okay. But haven't I already done that?
A Queen does not really have just the power of a Rook and Bishop. It has the power of a Rook and both Bishops. It can move like a Rook, and in addition, can move diagonally on black diagonals, and diagonally on white diagonals.
As to "firepower" (the number of squares it controls at one time), the firepower of the Queen is nearly equal to that of two Rooks. Or to put it another way, it has the firepower of a Rook and a Bishop (both of which can control an almost equal number of squares), but does not suffer those limitations that restrict the Bishop to one half of the board (which limitation reduces the Bishop's value compared to the Rook, despite it's almost-equal "firepower").