  We study scaling limits of exploding Abelian sandpiles using ideas from
percolation and front propagation in random media. We establish sufficient
conditions under which a limit shape exists and show via a family of
counterexamples that convergence may not occur in general. A corollary of our
proof is a simple criteria for determining if a sandpile is explosive; this
strengthens a result of Fey, Levine, and Peres (2010).
