Acronym	erad
Name	expanded rhombic dodecahedron
	©
Vertex figure	[43,r], [4,3,4,R]
Face vector	48, 96, 50
Confer	variant: resirco   related polyhedra: rad
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).

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

((ao3xx4ob))&#zx   → height = 0
                     a = rr = sqrt(8/3) = 1.632993
                     b = RR = 2/sqrt(3) = 1.154701

  o.3o.4o.       | 24  * |  2  2  0 | 1  1  2 0  [43,r]
  .o3.o4.o       |  * 24 |  0  2  2 | 0  1  2 1  [4,3,4,R]
-----------------+-------+----------+----------
  .. x. ..       |  2  0 | 24  *  * | 1  0  1 0
  oo3oo4oo  &#x  |  1  1 |  * 48  * | 0  1  1 0
  .. .x ..       |  0  2 |  *  * 24 | 0  0  1 1
-----------------+-------+----------+----------
  .. x.4o.       |  4  0 |  4  0  0 | 6  *  * *
((ao .. ob))&#zx |  2  2 |  0  4  0 | * 12  * *  {(r,R)2}
  .. xx ..  &#x  |  2  2 |  1  2  1 | *  * 24 *
  .o3.x ..       |  0  3 |  0  0  3 | *  *  * 8