A board is a subset of the polygons determined by a number of (usually regularly spaced and oriented) lines. These polygons form the spaces on which "pieces"
can be placed and move in many games (called board games). The simplest division
the plane is into equal squares. The square board is used in tic-tac-toe.
The square board is used in checkers
and chess. Go is played on a board
in which pieces are placed on the intersections (as opposed to the squares bounded
by the grid lines) of a set of
equally spaced lines on a square grid.

Hexagonal boards are used in some games. Chinese checkers uses a board in the space of a hexagram
with spaces at the vertices of a regular triangular tiling.