Acronym	erhote
Name	expanded rhombic triacontahedron
	©   ©
Vertex figure	[4,5,4,r], [4,3,4,R]
Face vector	120, 240, 122
Confer	variant: resrid   related polyhedra: rhote
External links

The rhombs {(r,R)²} have vertex angles r = arccos(1/sqrt(5)) = 63.434949° resp. R = arccos(-1/sqrt(5)) = 116.565051°. Esp. rr : RR = (1+sqrt(5))/2.

All a = rr and b = RR edges, provided in the below description, only qualify as pseudo edges wrt. the full polyhedron. Edge size used here is rR = x = 1.

Incidence matrix according to Dynkin symbol

((ao3xx5ob))&#zx   → height = 0
                     a = rr = 2 sqrt[(5+sqrt(5))/10] = 1.701302,
                     b = RR = 2 sqrt[(5-sqrt(5))/10] = 1.051462

  o.3o.5o.       | 60  * |  2   2  0 |  1  1  2  0  [4,5,4,r]
  .o3.o5.o       |  * 60 |  0   2  2 |  0  1  2  1  [4,3,4,R]
-----------------+-------+-----------+------------
  .. x. ..       |  2  0 | 60   *  * |  1  0  1  0
  oo3oo5oo  &#x  |  1  1 |  * 120  * |  0  1  1  0
  .. .x ..       |  0  2 |  *   * 60 |  0  0  1  1
-----------------+-------+-----------+------------
  .. x.5o.       |  5  0 |  5   0  0 | 12  *  *  *
((ao .. ob))&#zx |  2  2 |  0   4  0 |  * 30  *  *  {(r,R)2}
  .. xx ..  &#x  |  2  2 |  1   2  1 |  *  * 60  *
  .o3.x ..       |  0  3 |  0   0  3 |  *  *  * 20