Acronym	chike
Name	chamfered icosahedron, dodecahedrically truncated rhombic triacontahedron
	©   ©
Vertex figure	[3,H2], [h5]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	72, 120, 50
Confer	rhote   ike
External links

The non-regular hexahedra {(h,H,H)²} have vertex angles h = arccos(1/sqrt(5)) = 63.434949° resp. H = arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°.

Dodecahedral truncation applies to the dodecahedral vertices (vertex inscribed doe) only. Wrt. the rhote this produces new triangle faces there. These are then face planes of a cutting ike. – The above transition shows a dynamical mutual scaling of ike and rhote. The chamfered ike then is the instance, where all edges happen to have the same length.

Chamfering (or edge-only beveling – here being applied to the ike) flatens the former edges into new (non-regular hexagonal) faces.

There is a deeper, terminal chamfering of the ike too, which then reduces the original faces to nothing. Then the hexagons will become rhombs and the total figure becomes the rhote. – When considering the below provided tegum sum Dynkin symbol, it becomes obvious that this figure also can be seen as a Stott expansion of the rhote.

Incidence matrix according to Dynkin symbol

((ax3oo5oc))&#zx   → height = 0
                     a = 1+sqrt[(10+2 sqrt(5))/5] = 2.701302
                     c = sqrt[(10-2 sqrt(5))/5] = 1.051462
(tegum sum of a-ike and (x,c)-srid)

  o.3o.5o.       | 12  * |  5  0 |  5  0  [h5]
  .o3.o5.o       |  * 60 |  1  2 |  2  1  [3,H2]
-----------------+-------+-------+------
  oo3oo5oo  &#x  |  1  1 | 60  * |  2  0
  .x .. ..       |  0  2 |  * 60 |  1  1
-----------------+-------+-------+------
((ax .. oc))&#zx |  2  4 |  4  2 | 30  *  {(h,H,H)2}
  .x3.o ..       |  0  3 |  0  3 |  * 20  {3}