The line makes its way across the world, making it by marking it. The line passes across valleys, pages, mountains, rivers, tracing trails, roads, railways, highways, doubling itself with telegraph, television, telecommunications, doubling itself again as the code of the letter migrates from text to telegraph and explodes into the myriad lines of the digital. The line makes topics, maps them into the topographic, then folds the topographic into a digital topology. The line does something else as well. For every line drawn are an infinite number undrawn. Every line is an allegory of the possibilities for a line of its type. The line may also intimate the possibilities of lines of another type. One can find gamespace in the pages of Leibnitz. But the possibilities of a given type of line are not infinite. Allegory always touches the virtual — which one might define as the possibility of possibility — via a particular line. At each level of the actual unfolding of the line across the world, it offers a glimpse of the virtual in its own image. This is the limit to allegory. If allegory yearns for something ahistorical, a topos beyond all particulars, it does so over and over in the most particular and mediated way.