Although every situation upon the Chessboard contemplates the presence of both Kings, either, or neither, or both, may, or may not be present in any given Strategetic Horizon.
Whenever the King is present in a given Strategetic Horizon the effect of his co-operation is mathematically outlined, thus:
- I. At his maximum of efficiency, the King occupies the centre of a circle of one point radius. His offensive power is equally valid against all eight points contained in his circumference, but his defensive power is valid for the support from a minimum of one point to a maximum of five points.
- II. At his medium of efficiency the King occupies the centre of a semi-circle of one point radius. His offensive power is valid against all five points contained in his semi-circumference, and his defensive power is valid for the support from a minimum of one, to a maximum of five points.
- III. At his minimum of efficiency, the King occupies the centre of a quadrant of one point radius. Both his offensive and his defensive powers are valid against all three points contained in his segment.
THE QUEEN.
Regarded as a Chessic Corps d’armee the Queen marches and attacks as infantry, cavalry and artillery.
Either, neither, or both Queens may be present in any given Strategetic Horizon; and whenever present the effect of her co-operation mathematically is outlined, viz.:
At her maximum of efficiency the Queen occupies the common vertex of one or more unequal triangles, whose aggregate area is from a minimum of 21 to a maximum of 27 points. Her offensive power is equally valid against all of these points; but her defensive power is valid for the support from a minimum of one point to a maximum of five points.
THE ROOK.
Regarded as a Chessic Corps d’armee the Rook marches and attacks as infantry, cavalry and artillery.