Acronym ...
Name x3f5o,
variation of ti,
hull of raded,
hull of kri
Circumradius sqrt[(49+21 sqrt(5))/8] = 3.463334
Vertex layers
LayerSymmetrySubsymmetries
 o3o5oo . o
1x3f5ox . o
edge first
2F . F
3f . B
4C . f
5aF . D
5bD . F
6B . C
7o . T
8T . x
9o . T
10B . C
11aD . F
11bF . D
12C . f
13f . B
14F . F
15x . o
opposite edge
(F=f+x, B=x+V=2f+x, C=B+x=2f+2x, D=B+f=3f+x, T=FF=3f+2x)
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between f5o and x3f:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
  • between x3f and x3f (at x):   arccos(-sqrt(5)/3) = 138.189685°
Confer
uniform variant:
ti  
variations:
a3b5c   f3x5o   (-x)3x5o  

Incidence matrix according to Dynkin symbol

x3f5o

. . . | 60 |  1  2 |  2  1
------+----+-------+------
x . . |  2 | 30  * |  2  0
. f . |  2 |  * 60 |  1  1
------+----+-------+------
x3f . |  6 |  3  3 | 20  *
. f5o |  5 |  0  5 |  * 12

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