  Quasifolds are singular spaces that generalize manifolds and orbifolds. They
are locally modeled by manifolds modulo the smooth action of countable groups
and they are typically not Hausdorff. If the countable groups happen to be all
finite, then quasifolds are orbifolds and if they happen to be all equal to the
identity, they are manifolds. In this article we illustrate quasifolds by
describing a two-dimensional example that displays all of their main
characteristics: the quasisphere.
