Polytopes and Nuclear Structure
  While the parameters of atomic nuclei, Z and A, indicate a general structural pattern for the nuclei, their exact masses in their fine differences seem not to exhibit the orderly kind of logical system that systematic and orderly nature must exhibit. Appropriate analysis discloses an orderly structure among all the nuclear types and isotopes. A component of that analysis and logical order is the family of geometric forms called polytopes, in particular the regular polyhedrons. 
Roger Ellman (The-Origin Foundation, Inc)