A slip-resistant support base and method of making and using such a support base. A slip-resistant support base may include a resilient pad having an exposed lower expanse opposite an upper pad surface, the lower expanse being characterized by a two-dimensional distribution of downwardly open concave recesses having rims forming a lower extremity of the support base. The lower expanse may be made by shearing off a layer of a first major face of a pad of resilient closed cell foam to expose an expanse of cut cells. In some examples, the support base includes a body and the resilient pad as a resilient substrate. The body is preferably configured to support an external object positioned on a body upper surface. The resilient substrate is preferably attached to and extends along at least a portion of a body lower surface. The resilient substrate lower expanse is opposite the body lower surface.