A method of dispensing wipes, the method comprising: providing a stack of wipes , the stack having a right end , a left end , a transverse direction extending between the right end and the left end, a longitudinal direction perpendicular to the transverse direction, and a longitudinal centerline extending in the longitudinal direction and positioned midway between the right and left ends, the stack defining a right side transversely between the longitudinal centerline and the right end and defining a left side transversely between the longitudinal centerline and the left end, wherein each wipe is generally rectangular in shape and defines four corners (70a-d, 72a-d), each wipe is connected to at least one other wipe on only one of the right side and the left side of the stack via a connection , immediately successive connections in a stacked direction are on alternating right and left sides of the stack, and a majority of the connections each include from 2 to 10 bridging strips (192a - 192f); providing a dispenser , the dispenser having a dispensing orifice centered in the transverse direction through which wipes can be extracted from the dispenser; and grasping a presented corner of a leading wipe , and pulling the presented corner of the leading wipe to withdraw the leading wipe out of the dispenser, whereby the leading wipe releases from a succeeding wipe such that a presented corner of the succeeding wipe , and no other corner of the succeeding wipe, protrudes from the dispensing orifice; whereby the presented corner of the leading wipe and the presented corner of the succeeding wipe originate from opposite sides of the stack. providing a stack of wipes , the stack having a right end , a left end , a transverse direction extending between the right end and the left end, a longitudinal direction perpendicular to the transverse direction, and a longitudinal centerline extending in the longitudinal direction and positioned midway between the right and left ends, the stack defining a right side transversely between the longitudinal centerline and the right end and defining a left side transversely between the longitudinal centerline and the left end, wherein each wipe is generally rectangular in shape and defines four corners (70a-d, 72a-d), each wipe is connected to at least one other wipe on only one of the right side and the left side of the stack via a connection , immediately successive connections in a stacked direction are on alternating right and left sides of the stack, and a majority of the connections each include from 2 to 10 bridging strips (192a - 192f); providing a dispenser , the dispenser having a dispensing orifice centered in the transverse direction through which wipes can be extracted from the dispenser; and grasping a presented corner of a leading wipe , and pulling the presented corner of the leading wipe to withdraw the leading wipe out of the dispenser, whereby the leading wipe releases from a succeeding wipe such that a presented corner of the succeeding wipe , and no other corner of the succeeding wipe, protrudes from the dispensing orifice; whereby the presented corner of the leading wipe and the presented corner of the succeeding wipe originate from opposite sides of the stack. <EOS>