Packing and covering a unit equilateral triangle with equilateral triangles.
Zhang, Yuqin, Fan, Yonghui (2005)
The Electronic Journal of Combinatorics [electronic only]
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Zhang, Yuqin, Fan, Yonghui (2005)
The Electronic Journal of Combinatorics [electronic only]
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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.
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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.
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