Acronym  rad (old: rhode) 
Name 
rhombic dodecahedron, Voronoi cell of facecentered cubic (fcc) lattice, terminally chamfered cube, terminally chamfered octahedron, surtegmated cube, surtegmated octahedron 
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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). – Both, the actual shape of the rhombs and the dihedral angle given above, can easily be obtained from the fcc honeycomb radh and its relation to the vertexinscribed primitive cubic honeycomb chon, cf. also the right pictures.
All a = rr and b = RR edges, as provided in the below description, only qualify as pseudo edges wrt. the full polyhedron. The true edge size used here is rR = x = 1.
Incidence matrix according to Dynkin symbol
o3m4o = 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 +++ ao .. ob&#zx  2 2  4  12 {(r,R)^{2}}
m3o3m = aoo3oao3ooa&#zx → height = 0 a = rr = sqrt(8/3) = 1.632993 o..3o..3o..  4 * *  3 0  3 [R^{3}] .o.3.o.3.o.  * 6 *  2 2  4 [r^{4}] ..o3..o3..o  * * 4  0 3  3 [R^{3}] +++ oo.3oo.3oo.&#x  1 1 0  12 *  2 .oo3.oo3.oo&#x  0 1 1  * 12  2 +++ ... oao ...&#xt  1 2 1  2 2  12 {(r,R)^{2}}
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