Parallel covering a parallelogram with squares

Suppose that R ( h , α ) is a parallelogram with the longer side 1, with acute angle α and with height h . Let S be a square with a side parallel to the longer side of R ( h , α ) and let { S n } be a collection of the homothetic copies of S . In this note a tight lower bound of the sum of the areas...

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Bibliographic Details
Published in:Acta mathematica Hungarica 2024-02, Vol.172 (1), p.264-286
Main Authors: Su, Z.-J., Zhang, J.
Format: Article
Language:English
Subjects:
Lower bounds
Mathematics
Mathematics and Statistics
Parallelograms
Citations: Items that this one cites
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Summary:Suppose that R ( h , α ) is a parallelogram with the longer side 1, with acute angle α and with height h . Let S be a square with a side parallel to the longer side of R ( h , α ) and let { S n } be a collection of the homothetic copies of S . In this note a tight lower bound of the sum of the areas of squares from { S n } that can parallel cover R ( h , α ) is given.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-024-01407-0