According to Poincaré, "geometry is the art of reasoning well from badly drawn figures" [1895].  In this talk I will give an informal discussion of some famous attempts to draw mathematical figures: some more, and some less, badly drawn.  I will finish by discussing some of my own work (with Henry Segerman) in this direction, attempting to use computer graphics, interactive web apps, and 3D printing to illustrate mathematics.

A recording of the talk is available here: https://www.youtube.com/watch?v=iaI6lsqL-_0.