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Convex Bodies: The Brunn–Minkowski Theory, Second Edition by Rolf Schneider

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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 [403] and by Heil and Martini [953]. More recent papers on bodies of constant width are by Bayen, Lachand-Robert and Oudet [185], Lachand-Robert and Oudet [1163], Guilfoyle and Klingenberg [868].

2. Rotors. Theorem 3.5.1 includes some special cases which were known for a longer time; the general classification was completed by Schneider [1664]. The proof is reproduced in §5.7 of the book by Groemer [800].

Special rotors in regular polygons have been considered, often in connection with kinematic considerations, by Reuleaux [1577], Meissner [1400], Wunderlich [1993], Goldberg [727 ...

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