DNA cages are ideally suited to make nanostructures which serve as containers for drug
delivery. Using fewer strands to assemble DNA cages is of importance to the design of DNA
molecules with multiple component strands. In this study, we propose a rational assembling
procedure to design and analyze DNA bipyramids with minimum strands. The results show that
the odd-half twist has a major impact on assembling strands required to construct DNA cages
and this method could offer a search of DNA bipyramids with minimum component strands
faster. This research provides new insights into design and synthesis for DNA bipyramid-like
cages from mathematical perspective.