Acronym ...
Name f3x5o,
variation of ti,
hull of tigid,
hull of gaddid
Circumradius sqrt[19+8 sqrt(5)]/2 = 3.036797
Vertex layers
LayerSymmetrySubsymmetries
 o3o5oo3o .o . o
1f3x5of3x .
(f,x)-{6} first
f . o
f-edge first
2F3f .F . f
3aB3o .x . B
3bB . x
4x3B .f . C
5af3B .C . F
5bC3o .o . D
6ao3C .B . B
6bB3f .
7B3x .D . f
8o3B .B . B
9af3F .o . D
9bC . F
10x3f .
opposite (x,f)-{6}
f . C
11a B . x
11bx . B
12F . f
13f . o
opposite f-edge
(F=f+x, B=x+V=2f+x, C=B+x=2f+2x, D=B+f=3f+x)
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between x5o and f3x:   arccos(-sqrt[(5+2 sqrt(5))/15]) = 142.622632°
  • between f3x and f3x (at f):   arccos(-sqrt(5)/3) = 138.189685°
Confer
uniform variant:
ti  
variations:
a3b5c   x3f5o   (-x)3x5o  

Incidence matrix according to Dynkin symbol

f3x5o

. . . | 60 |  1  2 |  2  1
------+----+-------+------
f . . |  2 | 30  * |  2  0
. x . |  2 |  * 60 |  1  1
------+----+-------+------
f3x . |  6 |  3  3 | 20  *
. x5o |  5 |  0  5 |  * 12

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