  We mathematically investigate four molecular models of buckminsterfullerene
(C60) discussing the strengths and weaknesses of each, and a new orthorhombic
20-dodecahedron model is proposed to replace the traditional truncated
icosahedron model. This representation as a sepak takraw ball rather than a
soccer ball allows for capturing the positional relations and electron orbits
of the 60 atoms comprising the full molecule.
