𝔖 Bobbio Scriptorium
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A random covering of the plane by convex figures

✍ Scribed by E. A. Begovatov


Publisher
Springer US
Year
1988
Tongue
English
Weight
168 KB
Volume
43
Category
Article
ISSN
1573-8795

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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