Note on the 8$_{18}$-Knot

Abstract

We define some physical variables associated with the traversing sequences of electrons along the orbit which is a 2D projection of 8$_{18}$-knot. The configuration is regular but the resulting contributions, which are related to the physical variable, of those combinations from all the possible states to the fixed spatial sites show certain irregular behavior near the over- or under-crossing points of this knot. The possible explanation for this kind of direct geometric consequences is made to linked to the physical insight.