2ike+gad

Acronym	...
Name	2ike+gad (?)
Circumradius	sqrt[(5+sqrt(5))/8] = 0.951057
Vertex figure	5[5,6/2,6/2]
General of army	ike
Colonel of regiment	ike
Confer	non-Grünbaumian masters: gad ike Grünbaumian relatives: cid ike+2gad ike+3gad 3ike+gad 3ike+3gad 4ike+gad 5ike+gad 2ike+4gad 4ike+2gad convex uniform variant: ti variations: a3b5c f3x5o x3f5o general polytopal classes: Wythoffian polyhedra

Looks like a compound of 2 icosahedra (ike) plus a great dodecahedron (gad), and indeed vertices coincide by five, edges coincide by three.

Incidence matrix according to Dynkin symbol

x3/2x5o

.   . . | 60 |  1  2 |  2  1
--------+----+-------+------
x   . . |  2 | 30  * |  2  0
.   x . |  2 |  * 60 |  1  1
--------+----+-------+------
x3/2x . |  6 |  3  3 | 20  *
.   x5o |  5 |  0  5 |  * 12

snubbed forms: β3/2β5o

x3/2x5/4o

.   .   . | 60 |  1  2 |  2  1
----------+----+-------+------
x   .   . |  2 | 30  * |  2  0
.   x   . |  2 |  * 60 |  1  1
----------+----+-------+------
x3/2x   . |  6 |  3  3 | 20  *
.   x5/4o |  5 |  0  5 |  * 12

(-x)3x5o

  .  . . | 60 |  1  2 |  2  1
---------+----+-------+------
 -x  . . |  2 | 30  * |  2  0
  .  x . |  2 |  * 60 |  1  1
---------+----+-------+------
(-x)3x . |  6 |  3  3 | 20  *
  .  x5o |  5 |  0  5 |  * 12

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