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. 2007 Oct 2;104(42):16432–16437. doi: 10.1073/pnas.0611320104

Table 1.

Dependence of knot probability on physical parameters

Condition Box width
0.1 m 0.15 m 0.3 m
3-m length of #4 string, tumbled at one revolution per second for 10 sec 26% 50% 55%
Slower tumbling (0.33 revolutions per second) 29% 52% 57%
Faster tumbling (three revolutions per second) 8% 17% 20%
Longer tumbling time (30 sec) 30% 74% 63%
More flexible string, 3 m 65%
More flexible string, 4.6 m 85%
Stiffer string, 3 m 20%

The physical properties of the strings are given in Materials and Methods. The percentages were determined from 200 trials.