Klickportalen K3 - Klick Data AB

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deal configurations with increasing numbers of crossings. For most of the analyzed knots, all observed subknots in the disk matrices of KnotPlot and ideal configurations belong to the set of predecessor knots of the corresponding global knot type. However, as the crossing number increases some of the KnotPlot and ideal configurations have subknots that are not predecessor knots of the global knot type. subknots that achieve at least 50% frequency in some subarc using our closure algorithm), then all of these subknots belong to the sets of predecessor knots of the corresponding global knots. The KnotPlot and ideal knot configurations of the 810 knot are shown over the center of their disk matrices. Ideal configuration subknotsIdeal knot configurations are defined by the axial trajectories of uniform diameter tubes that reach the minimum length necessary to form a given knot type6,7,8,9,10,11,12,13 and have been shown to have properties that correspond to those found in knotted magnetic flux lines and knotted macromolecules6,14,15,16,17,18,19,20,21.

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"rope" used to create the knot. Fig. Vans Custom Culture Winners

Indeed we observe fewer non predecessor subknots in ideal configurations than in KnotPlot configurations. However, three 10 crossing knot types (1069, 1097, and 10114) have subknots that are not predecessors. For example, the ideal Vans Toy Story Edition (1069) has a subknot 73 that is not among the predecessors of that knot. Analyzing this case more closely we noticed that although there are subchains of the ideal 1069 configuration that form 73 knots more frequently than any other knot types upon Vans Gilbert Crockett Pro Navy

Vans Toy Story Edition

Vans Toy Story Edition

Vans Toy Story Edition

the uniform .

Vans Toy Story Edition

Vans Toy Story Edition

3B shows the disk matrix for the ideal 810 knot. 63, 31 31, 52, 51 +31, 31 and 01) occur while the 75 knot does not occur. This result suggests that the reduction of the 3 D trajectory to the necessary minimum required to build a given knot reduces the presence of subknots which are not predecessors.

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Visually, one observes that these configurations are more compact than KnotPlot configurations as a consequence of the minimization of the amount of Vans Classic Old Skool

Vans Toy Story Edition

Vans Toy Story Edition

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