A method of dispensing wipes, the method comprising: providing a stack of wipes (10, 30, 32, 34, 130, 132, 134, 232, 234), the stack having a right end, a left end, a transverse direction (22, 122) extending between the right end and the left end, a longitudinal direction (20, 120) perpendicular to the transverse direction, and a longitudinal centerline (21, 121) extending in the longitudinal direction and positioned midway between the right and left ends, the stack defining a right side (15, 115) transversely between the longitudinal centerline and the right end and defining a left side (17, 117) 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 (30, 32, 34, 130, 132, 134, 232, 234) 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 (142, 152), immediately successive connections (142, 152) in a stacked direction are on alternating right and left sides of the stack, and a majority of the connections (142, 152) 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 (90, 70a) 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 (92, 72b) 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 (10, 30, 32, 34, 130, 132, 134, 232, 234), the stack having a right end, a left end, a transverse direction (22, 122) extending between the right end and the left end, a longitudinal direction (20, 120) perpendicular to the transverse direction, and a longitudinal centerline (21, 121) extending in the longitudinal direction and positioned midway between the right and left ends, the stack defining a right side (15, 115) transversely between the longitudinal centerline and the right end and defining a left side (17, 117) 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 (30, 32, 34, 130, 132, 134, 232, 234) 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 (142, 152), immediately successive connections (142, 152) in a stacked direction are on alternating right and left sides of the stack, and a majority of the connections (142, 152) 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 (90, 70a) 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 (92, 72b) 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.