Completing an universal m-gonal form with a closing unary piece

In this paper, we show that for any m-gonal form \(F_m({\textbf{x}})\) $F_m(\mathbf{x})$ with \(m \ge 12\) $m\ge 12$ which represents every positive integer up to \(m-4\) $m-4$ , by putting together with only an unary m-gonal form, we may complete an universal form.