✦ LIBER ✦

Is a convex plane body determined by an isoptic?

✍ Scribed by Árpád Kurusa

Book ID: 107702010
Publisher: Springer-Verlag
Year: 2011
Tongue: English
Weight: 327 KB
Volume: 53
Category: Article
ISSN: 0138-4821
DOI: 10.1007/s13366-011-0074-2

No coin nor oath required. For personal study only.

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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