  A small cover is a closed smooth manifold of dimension $n$ having a locally
standard $\mathbb{Z}_2^n$-action whose orbit space is isomorphic to a simple
polytope. A typical example of small covers is a real projective toric manifold
(or, simply, a real toric manifold), that is, a real locus of projective toric
manifold. In the paper, we classify small covers and real toric manifolds whose
orbit space is isomorphic to the dual of the simplicial complex obtainable by a
sequence of wedgings from a polygon, using a systematic combinatorial method
finding toric spaces called puzzles.
