Table 4 Magic formulas for the fcc truncated cube (even layers)

Atoms

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

Bonds

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

cn = 5

\(12n-12,\,n>t\ge 2\)

cn = 7

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

cn = 8

\(24n^2+(-24t-24)n+(12t^2+12t-18),\,n>t\ge 2\)

cn = 9

\(24n +(-24t -40),\,n>t\ge 2\)

cn = 10

\(48,\,n>t\ge 2\)

cn = 11

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

cn = 12

\((12t-24)n^2+(-12t^2+36t-24)n+(4t^3-18t^2+27t+10),\,n>t\ge 2\)