A flexible interconnectable block and fastener system includes a connector panel having a top side, a bottom side and a perimeter edge. The connector panel is resiliently flexible and is comprised of an elastomeric material. The perimeter edge includes a first end edge, a second end edge, a first lateral edge and a second lateral edge. The connector panel is elongated from the first end edge to the second end edge. A plurality of male interconnection members is integrally formed in and extends upwardly from the top side. The male interconnection members are arranged in a plurality of columns extending from the first end edge to the second end edge and rows extending between the first and second lateral edges wherein a number of the rows is equal to or less than a number of the columns.