Covering the plane with sprays
James H. Schmerl
Fundamenta Mathematicae, Tome 209 (2010), p. 263-272 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:282961 
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     year = {2010},
     pages = {263-272},
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James H. Schmerl. Covering the plane with sprays. Fundamenta Mathematicae, Tome 209 (2010) pp. 263-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm208-3-3/