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Constitutional Characters. A systematic set of names for Major and Minor pieces.[All Comments] [Add Comment or Rating]

Tony Paletta wrote on Fri, Dec 12, 2003 05:02 AM UTC:

Fergus,

You seem to have confused a diagonal and something sort of like a
diameter.

A diagonal of a polygon is any line joining two nonadjacent vertices.

A diagonal of a polyhedra is any line joining two vertices not in the same
face.

Other than these two uses, a diagonal line pretty much just means a
slanted line.

For a standard chessboard-like tiling with squares each square has two
diagonals and they line up to form longer lines -- hence THE diagonals of
a chessboard. It doesn't work with hexagons.