Geodesic
A Note on Sets of Constant Width
Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 289
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We prove here that each convex set in Euclidean space can be extended to a set of constant width having the same diameter and being contained in same Jung's ball. We also prove a characterization of the sets of constant width, which gives the answer to a problem of F. A. Valentine. 
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     author = {Sini\v{s}a Vre\'cica},
     title = {A {Note} on {Sets} of {Constant} {Width}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {1981},
     volume = {_N_S_29},
     number = {43},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a31/}
}
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Siniša Vrećica. A Note on Sets of Constant Width. Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 289 . http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a31/