Definition:Space Diagonal

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Consider a parallelepiped $P$.

The space diagonals of $P$ are the line segments that can be drawn from each vertex $X$ of $P$ to the vertex $Y$ of $P$ which is not contained in any of the faces of $P$ which contain $X$.


In the above diagram, the space diagonals of the parallelepiped $ABCDEFGH$ are $AF$, $BE$, $CH$ and $DG$.