Table 15 Magic formulas for the bcc rhombic dodecahedron

Atoms

\((12t)n^2+(-12t^2+12t)n+(4t^3-6t^2+4t), \,n>t\ge 2\)

Bonds

\((48t-24)n^2+(-48t^2+72t-24)n+(16t^3-36t^2+28t-8),\,n>t\ge 2\)

cn = 4

\(14,\,n>t\ge 2\)

cn = 5

\(24n-24,\,n>t\ge 2\)

cn = 6

\(24n^2+(-24t-24)n + (12t^2+12),\,n>t\ge 2\)

cn = 7

\((24)n+(-24t+8),\,n>t\ge 2\)

cn = 8

\((12t-24)n^2 +(-12t^2+36t-24)n+(4t^3-18t^2+24t-10),\,n>t\ge 2\)