Small universal covers for sets of unit diameter
โ Scribed by H. C. Hansen
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 392 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0046-5755
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โฆ Synopsis
The current smallest convex universal cover for sets of unit diameter is described. This reduction of Sprague's cover is by 4-10-J 1 and results in an asymmetrical cover. Another small universal cover of sets of unit diameter with an axis of symmetry reduces Sprague's cover by 0.0019. An indication is given of how to use computers in the solution of this kind of problem.
12-gon circumscribed about the same circle, as shown in Figure 1.
๐ SIMILAR VOLUMES
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