Displaying similar documents to “Packing 10 or 11 unit squares in a square.”

On-line Packing Squares into n Unit Squares

Janusz Januszewski (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

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If n ≥ 3, then any sequence of squares of side lengths not greater than 1 whose total area does not exceed ¼(n+1) can be on-line packed into n unit squares.

Translative packing of a square with sequences of squares

Janusz Januszewski (2010)

Colloquium Mathematicae

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Let S be a square and let S' be a square of unit area with a diagonal parallel to a side of S. Any (finite or infinite) sequence of homothetic copies of S whose total area does not exceed 4/9 can be packed translatively into S'.