%A Barequet, Gill
%A Rote, Guenter
%A Shalah, Mira
%D 2019
%T An improved upper bound on the growth constant of polyiamonds
%K
%X A polyiamond is an edge-connected set of cells on the triangular lattice. Let~$T(n)$ denote the number of distinct (up to translation) polyiamonds made of~$n$ cells. It is known that the sequence~$T(n)$ has an asymptotic growth constant, i.e., the limit $\lambda_T := \lim_{n \to \infty} T(n+1) / T(n)$ exists, but the exact value of~$\lambda_T$ is still unknown. In this paper, we improve considerably the best known upper bound on~$\lambda_T$ from~4 to~3.6108.
%U http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1205
%J Acta Mathematica Universitatis Comenianae
%0 Journal Article
%P 429-436%V 88
%N 3
%@ 0862-9544
%8 2019-07-26