Orthogonal

It is often useful to think of orthogonal movements as a collective term for both vertical and horizontal movements but it probably best used this way only when dealing with square grids. Technically, orthogonal movements are those where a counter crosses the “side” of the cell it is currently residing in and moves across the side and into a cell adjacent to it. If a line were drawn showing an orthogonal movement of a counter, it would cross the borders of its cell at a perpendicular or ninety degree angle upon entering the new cell or cells. When playing a board game in which counters are placed at the intersections rather than on the cells, orthogonal and diagonal movements lose meaning, as typically, the intention would then be to move counters along the lines.

Orthogonal movement on a hexagonal grid

Orthogonal movement on a square grid

Orthogonal movement on a triangular grid