Surface-link families with arbitrarily large triple point number

Quandles with one non-trivial column

“…Quandle cocycles have been used to study classical links as well as surface-links. The quandle cocycle invariant and weights of quandle cocycles have been used to calculate the triple point number of surface-links [9,[26][27][28][29]. This section computes several second and third quandle cohomology groups of P σ n since cocycles of this order can be used to define knot invariants.…”