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Universal coverings and projections of bodies of constant width

โœ Scribed by V. V. Makeev

Publisher
Springer US
Year
1992
Tongue
English
Weight
238 KB
Volume
59
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES

Bodies of constant width in arbitrary di
Bodies of constant width in arbitrary dimension
โœ Thomas Lachand-Robertโ€ ; ร‰douard Oudet ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 252 KB

## Abstract We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension __n__, one of its (__n__ โ€“ 1)โ€dimensional projection being given. We give a number of examples, like a fourโ€d

Covering planar sets of constant width b
Covering planar sets of constant width by three sets of smaller diameters
โœ Oscar Stefani ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 195 KB

In this paper we prove the following result: THEOREM. Let K be a planar set of constant width 6; if {Bt, B2, B3} is a cover of K, in which the diameters d (Bi), where i = 1, 2, 3, are smaller than ~, then d(nl The proof is an immediate consequence of the three lemmas of Section 2. 1. NOTATION

In- and circumcenters of manifolds of co
In- and circumcenters of manifolds of constant width
โœ B. V. Dekster ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Springer ๐ŸŒ English โš– 193 KB

## IN-AND CIRCUMCENTERS OF MANIFOLDS OF CONSTANT WIDTH Bodies of constant width W in an n-dimensional Riemannian manifold M n, n t> 2, were introduced and studied in [3]. That paper dealt mostly with the curvature of the boundary of such a body K and also established that the diameter D of K satis