Preface; 1. How to make surfaces, and talk about them; 2. Making complicated surfaces; 3. Multifarious complications; 4. Families of surfaces; 5. Completion of the census of surface families; 6. Combinational invariants; 7. Order of assembly, and orientability; 8. Morse theory of a paper surface; 9. Miscellaneous exercises; Appendices; Indices.