2 problems

Let a coloring $\chi$ be a partition of $\mathbb{R}^2$ into two color classes. A coloring contains a triangle $T$ if there is a monochromatic copy of $T$, where copies are obtained…

Let $T$ be a triangle in the Euclidean plane, and let a coloring be a partition of $\mathbb{R}^2$ into two color classes. A coloring contains $T$ if it has a monochromatic copy of…