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Enclosing a convex body by homothetic bodies

✍ Scribed by L. Fejes Tóth; J. M. Wills


Publisher
Springer
Year
1984
Tongue
English
Weight
355 KB
Volume
15
Category
Article
ISSN
0046-5755

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📜 SIMILAR VOLUMES


Covering a plane convex body by four hom
✍ Marek Lassak 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 498 KB

The famous conjecture of Hadwiger [5] that any convex body (i.e. a compact convex set with non-empty interior) of Euclidean n-space E" can be covered by 2" smaller positive homothetical copies remains unsolved for n > 2. For n = 2 the answer is affirmative as was proved in [8] by Levi. A natural que