From the view-point of the _Queen_, the surface of the Chess-board
takes on the topographical aspect of a series of wide, straight valleys
separated by high, impassable mountain ranges, unfordable rivers, and
impenetrable forests and morasses. These valleys, which number never less
than three, nor more than eight, in the same group, are of varying length
and always converge upon and unite with each other at the point occupied
by the Queen.
These valleys contained in the Queen’s topographical horizon may be
classified, viz.:
Class I, consists of those groups made up of three valleys.
Class II, of those groups made up of five valleys.