Covering the plane with sprays
Tom 208 / 2010
Fundamenta Mathematicae 208 (2010), 263-272
MSC: Primary 03E05; Secondary 51M05.
DOI: 10.4064/fm208-3-3
Streszczenie
For any three noncollinear points $c_0,c_1,c_2 \in \mathbb R^2$, there are sprays $S_0,S_1,S_2$ centered at $c_0,c_1,c_2$ that cover $\mathbb R^2$. This improves the result of de la Vega in which $c_0,c_1,c_2$ were required to be the vertices of an equilateral triangle.
