The moduli space of stable n-pointed rational curves is a fundamental object in algebraic geometry. Many aspects of the space, such as its intersection theory, have been completely understood. The two dimensional analogue, parameterizing KSBA stable configurations of n lines in the plane, is much more mysterious. It has been studied by a number of researchers, including Alexeev, Hacking-Keel-Tevelev, Lafforgue, and others. I will share a new perspective on this space, motivated by logarithmic geometry, and explain how this perspective can be used to endow the space with a virtual fundamental class, and puts it on essentially equal theoretical footing with its more well-studied sibling. I will then explain the combinatorial structure on the boundary, and discuss where we hope to take the story next. Based on ongoing joint work with Abramovich and Pandharipande.