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