Table 10 Magic formulas for the 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

\((5t-10)n^2 +(-10t^2+30t-15)n+(\frac{20}{3}t^3-30t^2+\frac{106}{3}t-14),\,n>t\ge 2\)