Creating a digital 3D model -- Projections -- Polyhedra and polyhedral surfaces -- Boolean operations -- Planar transformations -- Spatial transformations -- Curves and surfaces -- Freeform curves -- Traditional surface classes -- Offsets -- Freeform surfaces -- Motions, sweeping, and shape evolution -- Deformations -- Visualization and analysis of shapes -- Developable surfaces and unfoldings -- DIgital prototyping and fabrication -- Geometry for digital reconstruction -- Shape optimization problems -- Discrete freeform structures -- Appendix A: Geometry primer.