Decomposition of a convex region by lines (Q753142)
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scientific article; zbMATH DE number 4180216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition of a convex region by lines |
scientific article; zbMATH DE number 4180216 |
Statements
Decomposition of a convex region by lines (English)
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1991
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Let $R$ be a convex planar region of diameter $d$. Suppose that $n$ lines cut $R$. It is proved that if $n>20 d$, then there is a cell in $R$ with nonempty interior formed by these cutting lines of width at most 1.
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diameter
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convex planar domain
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cell-decomposition
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inscribed circle
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width
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