Directed (2HAM)

A (2HAM) TAS is called directed (a.k.a. deterministic, confluent) if it produces only one terminal assembly. Note that this does not say that the assembly sequence of all supertiles converges to a specific supertile, but rather that there will be only one terminal supertile. There could be various other supertiles in solution as well (besides the terminal supertile), but in a directed system these will not ever be terminal.

Definition

We say that a (2HAM) TAS given by \(\mathcal{T}=(T,S,\tau)\) is directed provided that \(|\mathcal{A}_{\Box}[\mathcal{\mathcal{T}}]| = 1\).