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Table 10 Magic formulas for the decahedron
figure i

From: Magical Mathematical Formulas for Nanoboxes

Decahedron
Atoms \((5t)n^2+(-10t^2+10t)n+(\frac{20}{3}t^3-10t^2+\frac{16}{3}t), \,n>t\ge 2\)
Bonds \((30t-15)n^2+(-60t^2+90t-25)n+(40t^3-90t^2+57t-12),\,n>t\ge 2\)
cn = 4 \(5,\,n>t\ge 2\)
cn = 6 \(5n-3,\,n>t\ge 2\)
cn = 8 \(10n-10,\,n>t\ge 2\)
cn = 9 \(10n^2+(-20t-20)n + (20t^2+10t+10),\,n>t\ge 2\)
cn = 10 \(20n+(-40t),\,n>t\ge 2\)
cn = 11 \(12,\,n>t\ge 2\)
cn = 12 \((5t-10)n^2 +(-10t^2+30t-15)n+(\frac{20}{3}t^3-30t^2+\frac{106}{3}t-14),\,n>t\ge 2\)