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

From: Magical Mathematical Formulas for Nanoboxes

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