Blueprints of polyhedral cages with icosahedral symmetry made of circular DNA molecules
are provided. The basic rule is that every edge of the cage is met twice in opposite
directions by the DNA strand, and vertex junctions are realised by a set of admissible
junction types. As nanocontainers for cargo storage and delivery, the icosidodecahedral
cages are of special interest as they have the largest volume per surface ratio of
all cages discussed here.