Geometric containment and vector dominance (Q1093914)
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scientific article; zbMATH DE number 4024184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric containment and vector dominance |
scientific article; zbMATH DE number 4024184 |
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Geometric containment and vector dominance (English)
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1987
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Consider all the rectangles in a two-dimensional space. We define that two rectangles A and B have a relation \(A\preccurlyeq B\) if A can be contained in B after a sequence of rotation, translation and reflection. The relation thus defined is a partial ordering relation. The main result in this paper shows that the dimension of the poset is countable infinite.
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polygon containment
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vector dominance
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finite parametrization
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