On L. Fejes Tóth’s “sausage-conjecture” |
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| Authors: | P. Kleinschmidt U. Pachner J. M. Wills |
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| Affiliation: | 1. Math. Inst. Univ. Bochum, Universit?tsstr. 150, D-4630, Bochum-Querenburg, FRG
2. Math. Inst. Univ. Siegen, H?lderlinstr. 3, D-5900, Siegen, FRG
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| Abstract: | Letk non-overlapping translates of the unitd-ballB d ⊂E d be given, letC k be the convex hull of their centers, letS k be a segment of length 2(k−1) and letV denote the volume. L. Fejes Tóth's sausage conjecture, says that ford≧5V(S k +B d ) ≦V(C k +B d In the paper partial results are given. |
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