Beitr\"age zur Algebra und Geometrie Contributions to Algebra and Geometry Volume 35 (1994), No. 2, 259-281. Spaces of Stresses, Projections and Parallel Drawings for Spherical Polyhedra Henry Crapo, Walter Whiteley Abstract. Our first paper [1] analyzed the basic three way connection among static self stresses of plane frameworks, reciprocal diagrams and spatial oriented polyhedra. We extend this pattern to describe new: \item{(i)} \ isomorphisms between \itemitem{ (a)} the affine space of polyhedra with a fixed projection; \itemitem{ (b)} the vector space of self stresses of the framework; and \itemitem{ (c)} the space of reciprocal figures of the framework (with one fixed vertex); \item{(ii)} \ and dually, appropriate maps between \itemitem{ (d)} the vector space of parallel drawings of spatial polyhedral surfaces, \itemitem{ (e)} the space of frameworks with a fixed reciprocal, and \itemitem{ (f)} the space of parallel drawings (infinitesimal motions) of the projections.