System comprising: a bidirectional extraction socket (500, 510, 520, 600, 700) comprising a driven end configured to receive drive power from a driving tool, a drive end configured to interface with a fastener; and a body portion extending between the driven end and the drive end about an axis of the extraction socket, wherein the drive end comprises a fastener engagement recess (122, 501, 511, 521, 610, 710) extending into the body portion and coaxial with the body portion, the fastener engagement recess being configured to engage with a fastener such that the fastener is drivable in either a clockwise or a counterclockwise direction while avoiding contact with corner portions of the fastener; a fastener including six corner portions disposed between six side faces, the side faces forming a hexagonal shape for interfacing with the drive end; wherein the fastener engagement recess (122,..., 710) comprises: a plurality of engagement ribs (150, 503, 513, 523, 612, 720) extending inwardly toward the axis of the extraction socket (500,..., 700) and having respective lengths that extend in a direction substantially parallel to the axis of the extraction socket (500,..., 700), and a plurality of arc shaped grooves, respective ones of the arc shaped grooves being formed between each of the engagement ribs (150,..., 720); wherein each engagement rib (150,..., 720) comprises an apex, wherein each of the apexes formed into a point or having a radius of curvature that is substantially 0.5 millimeters or less, wherein the engagement ribs define an initial inner diameter that is larger than the distance between the side faces of the fastener and taper to an inner diameter that is smaller than the distance between the side faces of the fastener. a bidirectional extraction socket (500, 510, 520, 600, 700) comprising a driven end configured to receive drive power from a driving tool, a drive end configured to interface with a fastener; and a body portion extending between the driven end and the drive end about an axis of the extraction socket, wherein the drive end comprises a fastener engagement recess (122, 501, 511, 521, 610, 710) extending into the body portion and coaxial with the body portion, the fastener engagement recess being configured to engage with a fastener such that the fastener is drivable in either a clockwise or a counterclockwise direction while avoiding contact with corner portions of the fastener; a fastener including six corner portions disposed between six side faces, the side faces forming a hexagonal shape for interfacing with the drive end; wherein the fastener engagement recess (122,..., 710) comprises: a plurality of engagement ribs (150, 503, 513, 523, 612, 720) extending inwardly toward the axis of the extraction socket (500,..., 700) and having respective lengths that extend in a direction substantially parallel to the axis of the extraction socket (500,..., 700), and a plurality of arc shaped grooves, respective ones of the arc shaped grooves being formed between each of the engagement ribs (150,..., 720); wherein each engagement rib (150,..., 720) comprises an apex, wherein each of the apexes formed into a point or having a radius of curvature that is substantially 0.5 millimeters or less, wherein the engagement ribs define an initial inner diameter that is larger than the distance between the side faces of the fastener and taper to an inner diameter that is smaller than the distance between the side faces of the fastener. a plurality of engagement ribs (150, 503, 513, 523, 612, 720) extending inwardly toward the axis of the extraction socket (500,..., 700) and having respective lengths that extend in a direction substantially parallel to the axis of the extraction socket (500,..., 700), and a plurality of arc shaped grooves, respective ones of the arc shaped grooves being formed between each of the engagement ribs (150,..., 720); wherein each engagement rib (150,..., 720) comprises an apex, wherein each of the apexes formed into a point or having a radius of curvature that is substantially 0.5 millimeters or less, wherein the engagement ribs define an initial inner diameter that is larger than the distance between the side faces of the fastener and taper to an inner diameter that is smaller than the distance between the side faces of the fastener.