Uniform folded ribbonlength conjecture for pretzel links
Uniform folded ribbonlength conjecture for pretzel links
Let be a three-strand pretzel link , with folded ribbon realization , and let denote its folded ribbonlength. Pretzel-link uniformity conjecture. There is a constant such that, for all pretzel links,
The conjecture asserts a uniform bound independent of the three twist parameters; the paper motivates it by noting that arbitrarily many half-twists can be constructed with finite folded ribbonlength and that the strands can be joined with a finite additional amount.
Sources & referencesView supporting material
Primary source
Zhicheng Chen, Elizabeth Denne, Kyle Patterson and Timi Patterson, “Ribbonlength upper bounds for small crossing knots and links”, arXiv:2510.16190 (2025).
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