2HAM Demonstration

Introduction

The 2HAM is meant to model systems where self-assembly of multiple sub-assemblies can occur separately and in parallel, and then those sub-assemblies can combine with each other. In the 2HAM there isn't an initial seed. All of the tiles you create in Tile Editor have equal status and as such they all nucleate in parallel with each increment forward. The prerequisites for binding in the 2HAM are basically the same as they are in the aTAM. Two sub-assemblies can bind in the 2HAM if they have a set of matching edges which can align without overlap and assuming that these matching edges meet or exceed the temperature threshold.

This tutorial will primarily be concerned with introducing you to the configuration options that are available in TAS for 2HAM simulation.

2HAM in TAS

Understanding the 2HAM Configuration Window

There are several tile sets that come with TAS and for this tutorial we will be using one which was explicitly created for the 2HAM, "2HAM_2-bit_counter-full.tdp". To load saved assemblies into TAS from the "samples" folder do File -> Load tile assembly system... -> From TAS base directory navigate to samples folder -> Select Assembly -> Open.

As soon as you load the pre-made tile set you should notice that a 2HAM Configuration window appears on the left side of your screen. Initially under Supertiles there will be 108 tiles of size 1. Press the forward button twice, and your 2HAM Configuration window should look like this:

2HAM Configuration Window.

Notice that within just two steps you have created over 400 unique nucleating assemblies. Take a second to navigate around the Simulation space with your Overview window. The largest tiles are always at the top of the Simulation Space, while the smallest, in this case singletons, remain at the bottom of the Simulation Space. Navigate to the bottom left corner of the Simulation Space and click on the tile C0-C1-1.

Supertile Stats within Tile Type window.

In the Tile Type window three lines will appear above the Center and Apply buttons:

1. Supertile: This line indicates the number of the supertile, in this case '#0', as well as the number of tiles in the supertile assembly.
2. Children: The children of a supertile are the supertiles that incorporate this parent into their assemblies. The children of a specific supertile can be different with each separate simulation of the tileset. It is therefore likely that the children that you see are different than the ones listed above.
3. Step added: The step that the supertile was added. Note also that the counting starts at 0.