In one implementation, a method involves tessellating a surface of a 3D object by identifying vertices having 3D positions. The method transforms the 3D positions into positions for a first sphere-based projection for a left eye viewpoint and positions for a second sphere-based projection for a right eye viewpoint. Transforming the 3D positions of the vertices involves transforming the vertices based on a user orientation (i.e., camera position) and differences left and right eye viewpoints (e.g., based on interaxial distance and convergence angle). The method further renders a stereoscopic 360° rendering of the 3D object based on the first sphere-based projection for the left eye viewpoint and the second sphere-based projection for the right eye viewpoint. For example, an equirectangular representation of the first sphere-based projection can be combined with an equirectangular representation of the second sphere-based projection to provide a file defining a stereoscopic 360° image.