A problem posed to me by a friend:
Show that any two-coloring of $\mathbb{R}^2$ that contains a monochromatic equilateral triangle of side-lengths 1 also contains monochromatic triangles of all side lengths $(1,a,b) \mid a+b>1$
A problem posed to me by a friend:
Show that any two-coloring of $\mathbb{R}^2$ that contains a monochromatic equilateral triangle of side-lengths 1 also contains monochromatic triangles of all side lengths $(1,a,b) \mid a+b>1$