At its maximum of efficiency, the Knight occupies the centre of an octagon of two points radius, having a minimum of two points and a maximum of eight points area. His offensive power is equally valid against all of these eight points, but his defensive power is valid for the support of only one point.
THE PAWN.
Regarded as a Chessic Corps d’armee, the Pawn at its normal post marches as infantry and cavalry. Should an adverse corps, however, take post within the kindred side of the Chessboard; that Pawn upon whose altitude the adverse Piece appears, at once loses its equestrian attributes and marches and attacks exclusively as infantry.
Located at any other point than at its normal post, the Pawn is composed exclusively of infantry and never acts either as cavalry or artillery.
From one to eight Pawns may be present in any Strategetic Horizon; and whenever present the effect of its co-operation mathematically is outlined as follows:
At its maximum of efficiency the Pawn occupies the vertex of a triangle of two points. Its offensive power is equally valid against both of these points; but its defensive power is valid for the support of only one point.
POTENTIAL COMPLEMENTS.
Subjoined is a table of the potential complements of the Chesspieces.