Reconfigurable infant play mats and displays

An infant play mat with a flexible central mat portion having a fabric surface that forms a first infant play area including multiple flexible flaps. The infant play mat has a polygonal perimeter with multiple straight edges, with two of the edges defining a corner therebetween. Multiple flexible flaps extend from a respective one of the perimeter edges and define a fold line. Each flap has an upper flap surface exposed when the flap is extended, and hidden when the play mat is folded at the fold line to cover a region of the central mat portion. The central mat portion and lower surfaces of the flaps together form a second infant play area when the play mat is folded at all of the fold lines.