Notes for Section 3.5
1. Bodies of constant width. Much material about convex bodies of constant width can be found in the survey articles by Chakerian and Groemer  and by Heil and Martini . More recent papers on bodies of constant width are by Bayen, Lachand-Robert and Oudet , Lachand-Robert and Oudet , Guilfoyle and Klingenberg .
2. Rotors. Theorem 3.5.1 includes some special cases which were known for a longer time; the general classification was completed by Schneider . The proof is reproduced in §5.7 of the book by Groemer .