The 3-symmetric Pseudolinear Crossing Number of $K_{33}$

Abstract

We show that the 3-symmetric rectilinear and the 3-symmetric pseudolinear crossing numbers of $K_{33}$ are equal. Specifically, we prove that $\mathrm{sym}-{\overline{\mathrm{cr}}}_3(K_{33})=14634=\mathrm{sym}-{\widetilde{\mathrm{cr}}}_3(K_{33})$.