  We address the problem of which planar sets can be drawn with a pencil and
eraser. The pencil draws any union of black open unit disks in the plane
$\mathbb{R}^2$. The eraser produces any union of white open unit disks. You may
switch tools as many times as desired. Our main result is that drawability
cannot be characterized by local obstructions: A bounded set can be locally
drawable, while not being drawable. We also show that if drawable sets are
defined using closed unit disks the cardinality of the collection of drawable
sets is strictly larger compared with the definition involving open unit disks.
