Acronym  rad (old: rhode) 
Name 
rhombic dodecahedron, Voronoi cell of facecentered cubic (fcc) lattice 
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Inradius  sqrt(2/3) = 0.816497 
Vertex figure  [r^{4}], [R^{3}] 
Coordinates  
General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dual  co 
Dihedral angles
(at margins) 

Confer  chamfered cube chamfered oct 
External links 
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 [r^{4}] .o3.o4.o  * 8  3  3 [R^{3}] +++ oo3oo4oo&#x  1 1  24  2 +++ .. .. obo&#xt  2 2  4  12 {(r,R)^{2}}
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