In a general aspect, a mat is disclosed for forming a transition between two surfaces of different elevation. The mat includes a carpeted layer secured to a foam layer. The foam layer includes first, second, third and fourth sides that define a perimeter of the foam layer. The foam layer also includes first and second channels extending in-plane through the foam layer from the first side to the second side. The first and second channels are configured to allow the mat to fold around a first folding axis into a folded position. The foam layer additionally includes relief cuts extending in-plane through the foam layer from the third side to the fourth side. The relief cuts are configured to allow the mat to fold around a second folding axis into a rolled position. A fifth side of the foam layer is mated to the carpeted layer, and a sixth side of the foam layer defines an interior boundary of the mat when the mat is in the folded position.