Definition:Hex (Game)/Board

Definition

The $n \times n$ Hex board is a particular arrangement of $n^2$ regular hexagons.

Specifically, they are centered on the lattice points in $\hointr 0 n \times \hointr 0 n$ of an oblique coordinate system.

The following is an example of an $11 \times 11$ board:

Tile

The regular hexagons which make up the Hex board are called tiles.

Adjacent

Two tiles on a Hex board are called adjacent if and only if they share an edge.

Sides

The extremities of an $n \times n$ Hex board, consisting of the edges of the $n$ tiles at its boundary, is a side of the board.

These sides are marked with $2$ distinctive colors such that opposite sides are the same color.

In the above diagram, the sides are $\color { red } {\text {red} }$ and $\color { blue } {\text {blue} }$.