Abstract: Sole structures for articles of footwear include sipes that define discrete hexagonally-shaped sole elements at the ground-engaging or ground-facing surface. At least some of the arch-supporting hexagonally shaped sole elements may be elongated in one direction as compared to at least some of the corresponding hexagonally shaped sole elements in the heel and/or forefoot support areas. Additionally or alternatively, the sole structure may include a perimeter rim and/or side wall integrally formed with and extending upward from a foot-supporting surface at least at a rear heel area of the sole structure. This perimeter rim and/or side wall forms a rear heel pocket that engages at least a portion of the heel area of the upper (e.g., the rear heel area) with an interior surface of the perimeter rim and/or side wall.