  We consider defining the embedding of a triangle mesh into $R^3$, up to
translation, rotation, and scale, by its vector of dihedral angles.
Theoretically, we show that locally, almost everywhere, the map from realizable
vectors of dihedrals to mesh embeddings is one-to-one. We experiment with a
heuristic method for mapping straight-line interpolations in dihedral space to
interpolations between mesh embeddings and produce smooth and intuitively
appealing morphs between three-dimensional shapes.
