  We construct a quasiconformal map from the Grushin plane to the Euclidean
plane. Then, we generalize the Grushin plane slightly and explain how the
Grushin plane can serve as an intermediary in dealing with quasiconformal maps
on Euclidean spaces. In particular, we construct a family of quasiconformal
embeddings of the Euclidean plane into larger Euclidean spaces whose Jacobians
fail to be locally integrable on a line.
