Date of Graduation


Document Type


Degree Name

Bachelor of Science


Computer Science and Computer Engineering


Patitz, Matthew

Committee Member/Reader

Beavers, Gordon

Committee Member/Second Reader

Gauch, Susan


In this paper, we discuss a tile-based self-assembly model called the Folding Tile Assembly Model (FTAM). We briefly define what makes the FTAM unique in its ability to have folding 2D tiles. We also discuss the difficulty of determining the computational complexity of certain FTAM properties despite it being simpler for less dynamic models. Specifically, we discuss the property of rigidity in FTAM assemblies by devising a simple definition of rigidity, so that it is easier to determine its complexity. We use a reduction between an assembly and a 3SAT instance along with a series of proofs to give a result that shows it is co-NP-complete to determine whether a given assembly is rigid.


tile, self-assembly, folding, reconfigurability, 3-dimensional