Date of Graduation

5-2015

Document Type

Thesis

Degree Name

Bachelor of Science

Degree Level

Undergraduate

Department

Mathematical Sciences

Advisor

Patitz, Matthew J

Reader

Purvis, Hoyt

Second Reader

Brogi, Alessandro

Third Reader

Gauch, John

Abstract

This thesis looks into rates of growth within holes in self-assembled tile structures. Specifically, we are interested in whether the hole will regrow or decay further under a certain set of conditions. Tile sets have the ability to assemble themselves (including regrowing damaged sections of an assembly) when under good conditions, chiefly whether the ratio of monomer concentration to bond strength is below a certain threshold. Inside a hole, however, regrowth may or may not occur even when this threshold is exceeded.

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