A partition of the Euclidean plane \(\mathbb{R}^2\) into \(k\) pairwise isometric connected subsets (Q1281109)
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scientific article; zbMATH DE number 1266788
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A partition of the Euclidean plane \(\mathbb{R}^2\) into \(k\) pairwise isometric connected subsets |
scientific article; zbMATH DE number 1266788 |
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A partition of the Euclidean plane \(\mathbb{R}^2\) into \(k\) pairwise isometric connected subsets (English)
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6 April 1999
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The author presents a partition of the affine plane into an arbitrary, given number of isometric connected subsets. A figure shows the shape of the partition. The proofs of the connectedness, disjointness and isometry are fairly easy and are left to the reader.
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partition of the affine plane
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connected subsets
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