Quadrangle Chess is played upon the points of a field of interlaced quadrangles. The point at the center of the field is considered topmost and is accessible to most pieces.

• The Pawn both moves and captures to a forward adjacent point of its quadrangle, up to the next quadrangle's point which is centered in its quadrangle and down to the next quadrangle's forward points which surround its point. It freely promotes upon reaching the farthest rank of points of the field.
• The Knight leaps up to the next point which centers its quadrangle then to an adjacent point upon that quadrangle, or leaps to an adjacent point upon its quadrangle then down to one of the four points which surround, or steps down to one of the four points which surrounds its point.
• The Bishop leaps to the opposite point upon its quadrangle, or to the identical point of an upper or lower quadrangle. Movement up or down may be repeated if the point is empty and the next point is in the same direction as the last.
• The Rook moves to the adjacent points upon its quadrangle, or up to the point centered in its quadrangle, or down to any of the four points which surround its point. Movement up or down may be repeated if the point is empty and the next point is in the same direction as the last.
• The Queen moves as either the Bishop or Rook.
• The King steps as either the Bishop or Rook.