Displaying similar documents to “On a covering problem for equilateral triangles.”

Covering the plane with sprays

James H. Schmerl (2010)

Fundamenta Mathematicae

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For any three noncollinear points c₀,c₁,c₂ ∈ ℝ², there are sprays S₀,S₁,S₂ centered at c₀,c₁,c₂ that cover ℝ². This improves the result of de la Vega in which c₀,c₁,c₂ were required to be the vertices of an equilateral triangle.

On-line Covering the Unit Square with Squares

Janusz Januszewski (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

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The unit square can be on-line covered with any sequence of squares whose total area is not smaller than 4.