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Parallel packing squares into a rhombus

  • M. Liu,
  • Z. Su

摘要

Suppose that \(R_{\alpha}\) R α is a rhombus with side length \(1\) 1 and with acute angle \(\alpha\) α . Let \(\{S_{n}\}\) { S n } be any collection of squares. In this note a tight upper bound of the sum of the areas of squares from \(\{S_{n}\}\) { S n } that can be parallel packed into \(R_{\alpha}\) R α is given.