An attachment strap incorporating an elongated strap segment extending away from an attachment head. The attachment head includes a crossbar extending between raised lateral sidewalls. The strap may be passed under the crossbar between the lateral sidewalls. The strap segment includes an array of raised or lowered profile elements disposed at positions along the length. The crossbar includes a complementary raised or lowered profile element adapted to matedly engage the strap profile elements in reversible inserted relation and to hold the strap in place within the attachment head following insertion of the strap behind the crossbar.