As I am a novice in discrete geometry, I would like some insight concerning the following statement: "Given a convex polyhedron P, it is known that making "cuts", not necessarilly along its edges, we can make a planar figure (called development or unfolding), which is an isometric embedding (as far as intrinsic metric concerns)."
My question: What is the isometric map here? I only can see some kind of a series of translations and rotations of planes (the faces of the polyhedron P) here, in $\Bbb{R^3}$. Am I right?
Thanks.