A method of using a reconfigurable pet enrichment system to help pets fulfill their natural behaviors is provided. The system can be arranged to facilitate an environment that helps stimulate, entertain, and exercise a pet, and also provides a defensible space for napping, resting, or sleeping. The system can be constructed from two pieces of pliable material: a base component and a top-covering component attached to the base component by means of semi-permanent fasteners to create a variety of forms such as ripples, nooks and tunnels. The top component can contain several openings of different sizes. Openings appeal to a pet's predatory nature, as the openings provide a source of stimulation and interaction. The system may also be configured with a plurality of members attached via semi-permanent fasteners.