Table 16 Magic formulas for the hexagonal bipyramid
Hexagonal bipyramid | |
---|---|
Atoms | \((12t)n^2+(-12t^2+12t)n+(4t^3-6t^2+4t), \,n>t\ge 2\) |
Bonds | \((72t-42)n^2+(-72t^2+114t-42)n+(24t^3-57t^2+45t-12),\,n>t\ge 2\) |
cn = 3 | \(2,\,n>t\ge 2\) |
cn = 5 | \(6,\,n>t\ge 2\) |
cn = 6 | \(3n+3,\,n>t\ge 2\) |
cn = 7 | \((24)n - 24,\,n>t\ge 2\) |
cn = 8 | \(12n^2+(-12t-15)n + (6t^2+9),\,n>t\ge 2\) |
cn = 9 | \(12n^2+(-12t-18)n+(6t^2+6t+6),\,n>t\ge 2\) |
cn = 10 | \(30n+(-30t),\,n>t\ge 2\) |
cn = 11 | \(12,\,n>t\ge 2\) |
cn = 12 | \((12t-24)n^2 +(-12t^2+36t-124)n+(4t^3-18t^2+28t-14),\,n>t\ge 2\) |