In a moment of the fantastical yet possible, the Votemaster pointed out this today:

Even more unlikely news: A reader pointed this out to be. Suppose the EC is tied 269 to 269 and the House deadlocks 25 states to 25 states. This is exceedingly unlikely, but just suppose. Then the Senate gets to choose the vice president. Also suppose the new Senate is divided 50-50, a very real possibility. Then the sitting vice president, Dick Cheney, gets to cast the deciding vote, electing himself as the new vice president. In the absence of a president, Cheney would be acting president for four years. This is not likely to happen because the Republicans are virtually certain of controlling at least 26 state delegations in the House. Still, scenarios like this one support the case for electoral college reform.