Covering the unit square by squares (Q1856590)
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scientific article; zbMATH DE number 1866000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Covering the unit square by squares |
scientific article; zbMATH DE number 1866000 |
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Covering the unit square by squares (English)
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10 February 2003
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\textit{J. Moon} and \textit{L. Moser} [Colloq. Math. 17, 103-110 (1967; Zbl 0152.39502)] proved that squares with total area \(\geq 3\) permit a parallel covering of a unit square. M. Bogner conjectured that squares with total area \(\geq 2\) permit a (not necessarily parallel) covering of a unit square. The author gives a remarkable proof of this, and conjectures that rectangles with side lengths \(\geq 1\) and total area \(\geq 2\) permit a covering of a unit square.
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covering
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unit square
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