Acronym ...
Name v3x3o,
variation of truncated tetrahedron,
vertex figure of sidtaxhi
Circumradius sqrt[13+sqrt(5)]/4 = 0.975835
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between x3o and v3x:   arccos(-1/3) = 109.471221°
  • between v3x and v3x (at v):   arccos(1/3) = 70.528779°
Confer
uniform variant:
tut  
variations:
a3b3c   x3q3o   x3v3o   x3u3o   x3w3o   u3x3o   w3x3o   (-x)3x3o  

Incidence matrix according to Dynkin symbol

v3x3o

. . . | 12 | 1  2 | 2 1
------+----+------+----
v . . |  2 | 6  * | 2 0
. x . |  2 | * 12 | 1 1
------+----+------+----
v3x . |  6 | 3  3 | 4 *
. x3o |  3 | 0  3 | * 4

o3/2x3v

.   . . | 12 |  2 1 | 1 2
--------+----+------+----
.   x . |  2 | 12 * | 1 1
.   . v |  2 |  * 6 | 0 2
--------+----+------+----
o3/2x . |  3 | 3  0 | 4 *
.   x3v |  6 | 3  3 | * 4

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