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While the number of polyominoes is known to be supermultiplicative by asimple concatenation argument, it is still unknown whether the same applies topolyiamonds. This article proves that if $\ell,m$ are not both $1$, then$T(\ell+m)\ge T(\ell)T(m)$, for which one can say that the number ofpolyiamonds $T(n)$ is supermultiplicative. The method is, however, byconcatenating, merging and adding cells at the same time. A corollary is anincrement of the best known lower bound on the growth constant from $2.8423$ to$2.8578$.

The number of polyiamonds is supermultiplicative