III. The inability of the Queen to move on obliques. IV. The inability of the Rook to move either on obliques or on diagonals. V. The inability of the Bishop to move either on obliques, verticals, or horizontals. VI. The inability of the Knight to move either on diagonals, verticals, or horizontals, and the limitation of its move to two squares distance. VII. The inability of the Pawn to move either on obliques or horizontals, and the limitation of its first move to two squares and of its subsequent moves to one square. VIII. The limitation of the King’s move to one square. These limitations and impediments to the movements of the Chess-pieces, are equivalent in Chess-play to obstacles interposed by Nature to the march of troops over the surface of the earth. Prefect Generalship, in its calculations, so combines these insurmountable barriers with the relative positions of the contending armies, that the kindred army becomes at every vital point the superior force. This effect is produced by merely causing rivers and mountains to take the place of kindred Corps d’armee. It is only by the study of Chessic topography that the tremendous problems solved by the chess player become manifest: _Instead of calculations limited to one visible and unchangeable Chess-board of sixty-four squares, the divinations of the Chess-master comprehend and harmonize as many invisible Chess-boards as there are Chess-pieces contained in the Topographical Zone._ Furthermore, all these surfaces differ to the extent and in conformity to that particular sensible horizon, appertaining to the Chess-piece from which it emanates. The enormous difficulties of Chess-play, like those of warfare, arise from the necessity of combining in a single composite topographical horizon, all those differing, sensible horizons which appertain, not merely to the kindred, but also to the hostile corps; and to do this in such a manner, as to minimize the hostile powers for offence and defence, by debarring one or more of the hostile pieces from the true Strategetic Horizon. _To divide up the enemy’s force, by making natural barriers take the place of troops, is the basis of those processes which dominate Grand Manoeuvres._ Of all the deductions of Chess-play and of warfare, such combinations of Strategy and Topography are the most subtle and intangible. The highest talent is required in its interpretation, and mastery of it, more than of any other branch of Strategetics, proclaims the great Captain at war, or at chess. TOPOGRAPHY OF THE KING From the view-point of the _King_, the surface of the Chess-board takes on the topographical aspect of a vast expanse of open, level country. This vista is void of insurmountable natural obstacles, other than the sides and extremities. The latter collectively may be regarded, for strategical purposes, either as the Ocean, or the boundaries of neutral States.