A polygon-shaped air bag comprised of fabric for use in vehicle restraint systems is disclosed. The air bag is constructed from fabric panels in the shape of congruent, n-sided equiangular polygons, where n may be between five and eleven, but is preferably six or eight. The individual panels may be in the form of a single polygon, or in the form of two abutting polygons. The use of polygon-shaped panels allows for economical fabric utilization and increased fabrication efficiency, compared with panels having a circular shape.