Design Techniques for the DNA Cubic-Lattice
We use the Watson-Crick properties of DNA and the principles of graph theory to construct origami folding designs for self-assembling cubic lattices. Our objective is a mathematical design strategy that can be expanded systematically to any size cubic lattice. This design consists of threading a scaffolding strand of DNA through the lattice that is secured in place by short staple strands of DNA. We first add augmenting edges to the cubic lattice to enable a single scaffolding strand threading. We then thread the scaffolding strand through the augmented cube in a way that minimizes the number of different vertex configurations in the structure. Key Words: Watson-Crick, DNA Self-Assembly, Origami folding, Cubic Lattice, Scaffolding Strand, Threading, Staple Strands