Face diagonal

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B'D' is a face diagonal while A'C is a space diagonal
B'D' is a face diagonal while A'C is a space diagonal

In geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a space diagonal passing through the interior of the polyhedron.

A cuboid has twelve face diagonals (and four space diagonals); the cuboid's face diagonals can have up to three different lengths (the space diagonals all have the same length). A regular dodecahedron has 60 face diagonals (and 100 space diagonals).

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