Sole structures (200) for articles of footwear (800) include sipes (202, 204, 210B, 210, 220, 222) that define discrete hexagonally-shaped sole elements (212, 214) at the ground-engaging or ground-facing surface (200B). At least some of the arch-supporting hexagonally shaped sole elements (212) may be elongated in one direction as compared to at least some of the corresponding hexagonally shaped sole elements (212) in the heel and/or forefoot support areas (404). Additionally or alternatively, the sole structure (200) may include a perimeter rim (200P) and/or side wall (200W) integrally formed with and extending upward from a foot-supporting surface (200S) at least at a rear heel area of the sole structure (200). This perimeter rim (200P) and/or side wall (200W) forms a rear heel pocket (240) that engages at least a portion (304) of the heel area of the upper (e.g., the rear heel area) with an interior surface (200S) of the perimeter rim (200P) and/or side wall (200W).