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An embedded graph is called $z$-knotted if it contains the unique zigzag (upto reversing). We consider $z$-knotted triangulations, i.e. $z$-knottedembedded graphs whose faces are triangles, and describe all cases when theconnected sum of two $z$-knotted triangulations is $z$-knotted.

Connected sums of $Z$-knotted triangulations