Table 5 Magic formulas for the fcc truncated cube (odd layers)

Atoms

\((12t)n^2+(-12t^2+12t)n+(4t^3-6t^2+3t-7), \,n>t\ge 3\)

Bonds

\((72t-48)n^2+(-72t^2+120t-36)n+(24t^3-60t^2+36t-24),\,n>t\ge 3\)

cn = 5

\(12n-12,\,n>t\ge 3\)

cn = 7

\(24,\,n>t\ge 3\)

cn = 8

\(24n^2+(-24t-24)n+(12t^2+12t-12),\,n>t\ge 3\)

cn = 9

\(24n +(-24t -24),\,n>t\ge 3\)

cn = 10

\(24,\,n>t\ge 3\)

cn = 11

\(12n+(-12t),\,n>t\ge 3\)

cn = 12

\((12t-24)n^2 +(-12t^2+36t-24)n+(4t^3-18t^2+27t-7),\,n>t\ge 3\)