Displaying similar documents to “Covering the Plane with Two Kinds of Circles.”

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.