  The $m$-trace of a knot is the $4$-manifold obtained from $\mathbf{B}^4$ by
attaching a $2$-handle along the knot with $m$-framing. In 2015, Abe, Jong,
Luecke and Osoinach introduced a technique to construct infinitely many knots
with the same $m$-trace, which is called the operation $(\ast m)$. In this
paper, we prove that their technique can be explained in terms of Gompf and
Miyazaki's dualizable pattern. In addition, we show that the family of knots
admitting the same $4$-surgery given by Teragaito can be explained by the
operation $(\ast m)$.
