Skip to main content

Table 15 Magic formulas for the bcc rhombic dodecahedron
figure n

From: Magical Mathematical Formulas for Nanoboxes

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