Abstract: A wing foil bearing may include one or more wing or tab foil layers. A tab foil layer may comprise a thin material with a two-dimensional array of tab shapes. A tab shape may be defined by a boundary of material separated from the thin material and having an integral edge and a free edge. Tab shapes may include one or more free-state bends relative to the thin material, forming a two-dimensional array of cantilever wings or tabs. Tab arrays may be one or more of various types or two-dimensional arrays, and a tab foil layer may include additional tab arrays and tabs. One or more tab foil layers may be engaged with a mounting surface layer and a counter-surface layer to form a wing foil bearing. Tab foil layers may be stacked and or nested, including partial nesting and complete nesting.