Polyethylene foam is a common packing material which is softer and more flexible than Styrofoam. It is frequently custom shaped by fusing different layers together. It can come in thin sheets or thick blocks. While Google will say that polyethylene foam is recyclable it all depends on the locally available recycling facilities. Unfortunately there are no local facilities for polyethylene foam so in the Cincinnati area it is not recyclable. Throw it out with your trash.