Acronym rad (old: rhode) Name rhombic dodecahedron,Voronoi cell of face-centered cubic (fcc) lattice ` © ©` Inradius sqrt(2/3) = 0.816497 Vertex figure [r4], [R3] Coordinates (1, 1, 1)/sqrt(3)     & all permutations, all changes of sign (3-fold vertices, inscribed sqrt(4/3)-cube) (2, 0, 0)/sqrt(3)     & all permutations, all changes of sign (4-fold vertices, inscribed sqrt(8/3)-oct) General of army (is itself convex) Colonel of regiment (is itself locally convex) Dual co Dihedral angles (at margins) between {(r,R)2} and {(r,R)2}:   120° Confer chamfered cube   chamfered oct Externallinks

The rhombs {(r,R)2} have vertex angles r = arccos(1/3) = 70.528779° resp. R = arccos(-1/3) = 109.471221°. Esp. rr : RR = sqrt(2).

Incidence matrix according to Dynkin symbol

```ao3oo4ob&#zx   → height = 0,
a = rr = sqrt(8/3) = 1.632993,
b = RR = 2/sqrt(3) = 1.154701

o.3o.4o.      | 6 * |  4 |  4  [r4]
.o3.o4.o      | * 8 |  3 |  3  [R3]
--------------+-----+----+---
oo3oo4oo&#x   | 1 1 | 24 |  2
--------------+-----+----+---
.. .. obo&#xt | 2 2 |  4 | 12  {(r,R)2}
```