Acronym ...
Name x3u3o,
variation of truncated tetrahedron
Circumradius sqrt(27/8) = 1.837117
Lace city
in approx. ASCII-art 
     o     o     
                 
                 
                 
u               u
                 
   w         w   
                 
                 
                 
        x
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between u3o and x3u:   arccos(-1/3) = 109.471221°
  • between x3u and x3u (at x):   arccos(1/3) = 70.528779°
Face vector 12, 18, 8
Confer
uniform variant:
tut  
variations:
a3b3c   x3q3o   x3v3o   x3w3o   v3x3o   q3x3o   u3x3o   w3x3o   (-x)3x3o  

Incidence matrix according to Dynkin symbol

x3u3o

. . . | 12 | 1  2 | 2 1
------+----+------+----
x . . |  2 | 6  * | 2 0
. u . |  2 | * 12 | 1 1
------+----+------+----
x3u . |  6 | 3  3 | 4 *
. u3o |  3 | 0  3 | * 4


o3/2u3x

.   . . | 12 |  2 1 | 1 2
--------+----+------+----
.   u . |  2 | 12 * | 1 1
.   . x |  2 |  * 6 | 0 2
--------+----+------+----
o3/2u . |  3 | 3  0 | 4 *
.   u3x |  6 | 3  3 | * 4

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