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  

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

© 2004-2019
top of page