Table 1 Magic formulas for the rhombic dodecahedron

Atoms

8n³+6n²+2n+3, n≥1 odd

8n³+6n²+2n+1, n≥2 even

Bonds

48n³+12, n≥1 odd;

48n³,n≥2 even

cn=3

8, n ≥2 even

cn=4

6, n ≥1

cn=5

12n−12, n ≥1 odd

12n−24, n ≥2 even

cn=7

12n²−12n+12, n ≥1

cn=10

12n−12, n ≥1 odd

12n, n ≥2 even

cn=11

12n²−24n+12, n ≥1 odd

12n²−24n, n ≥2, even

cn=12

8n³−18n²+14n−3, n ≥1 odd

8n³−18n²+14n−1,n≥2 even