Abstract
The ribbonlength Rib[Formula: see text] of a knot [Formula: see text] is the infimum of the ratio of the length of any flat knotted ribbon with core [Formula: see text] to its width. A twisted torus knot [Formula: see text] is obtained from the torus knot [Formula: see text] by twisting [Formula: see text] adjacent strands [Formula: see text] full twists. In this paper, we show that the ribbonlength of [Formula: see text] is less then or equal to [Formula: see text] where [Formula: see text] and [Formula: see text] are positive. Furthermore, if [Formula: see text], then the ribbonlength of [Formula: see text] is less then or equal to [Formula: see text].
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