Disproof of a conjecture about average Steiner distance

A catamenial tampon is provided in the form of absorbent material enveloped by a liquid permeable cover which is then folded and compressed into a cylindrical shape. The enveloped absorbent material is in the form of a flat cushion and is first folded into front, central and rear sections with the front and rear sections overlying the central section. A withdrawal cord is looped around the first folded cushion which is then folded around the withdrawal cord and compressed into the final tampon shape. The resulting tampon expands when wet into a cup-shaped configuration.