It is possible to design DNA molecules that can form unusual structure
s and topologies. Stable DNA-branched junctions have been used to cons
truct polyhedral catenated molecules with the connectivities of a cube
and of a truncated octahedron. The truncated octahedron has been cons
tructed following a solid-support-based methodology. Branched-DNA mole
cules are flexible, suggesting that triangular and deltahedral DNA obj
ects should be favored as the components of two- and three-dimensional
nucleic acid arrays. DNA polyhedra are complex catenanes. The enginee
ring of single-stranded DNA knots and catenanes exploits the fact that
a node can be equated with a half-turn of DNA.