Standard PositionWhen we talk of "the path on the {$a\times b\times c$} box", we will think of the box as sitting in the first octant of {$\mathbb R^3$} with one corner at the origin and one at {$(a,b,c)$}, with an edge of length {$a$} along the {$x$} axis, an edge of length {$b$} along the {$y$} axis, an edge of length {$c$} along the {$z$} axis.  And the path will start at the origin and move along the {$a\times b$} face.  |