A polyiamond is an edge-connected set of cells on the triangular

lattice.

The size of a polyiamond is simply the number of cells it contains.

The growth constant of polyiamonds, $\lambda_T$, is the limit of the

ratio between the number of polyiamonds of size n+1 and the number of

polyiamonds of size n, as n tends to infinity. In this talk I will show

improved lower and upper bounds on $\lambda_T$, proving that it is

between 2.8424 and 3.6050.

## Speaker:

Gill Barequet

## Institution:

Dept. of Computer Science, Technion, Haifa, Israel