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Given a 2-crossing minimal chart $\Gamma$, a minimal chart with twocrossings, set $\alpha=\min\{~i~|~$there exists an edge of label $i$ containinga white vertex$\}$, and $\beta=\max\{~i~|~$there exists an edge of label $i$containing a white vertex$\}$. In this paper we study the structure of aneighbourhood of $\Gamma_\alpha\cup\Gamma_\beta$, and propose a normal form for2-crossing minimal $n$-charts, here $\Gamma_\alpha$ and $\Gamma_\beta$ mean theunion of all the edges of label $\alpha$ and $\beta$ respectively.

The structure of a minimal $n$-chart with two crossings II: Neighbourhoods of $\Gamma_1\cup\Gamma_{n-1}$