Acronym ...
Name 3tet (?)
Circumradius sqrt(3/8) = 0.612372
Vertex figure 3[3,6/2,6/2]
General of army tet
Colonel of regiment tet
Confer
non-Grünbaumian master:
tet  
Grünbaumian relatives:
2tet   4tet   6tet  
convex uniform variant:
tut  
variations:
a3b3c   x3q3o   x3v3o   x3u3o   x3w3o   v3x3o   u3x3o   w3x3o  

Looks like a compound of 3 tetrahedra (tet), and indeed vertices and edges both coincide by three, {3} and {6/2} coincide.


Incidence matrix according to Dynkin symbol

x3/2x3o

.   . . | 12 | 1  2 | 2 1
--------+----+------+----
x   . . |  2 | 6  * | 2 0
.   x . |  2 | * 12 | 1 1
--------+----+------+----
x3/2x . |  6 | 3  3 | 4 *
.   x3o |  3 | 0  3 | * 4

snubbed forms: β3/2x3o, x3/2β3o, β3/2β3o

x3/2x3/2o

.   .   . | 12 | 1  2 | 2 1
----------+----+------+----
x   .   . |  2 | 6  * | 2 0
.   x   . |  2 | * 12 | 1 1
----------+----+------+----
x3/2x   . |  6 | 3  3 | 4 *
.   x3/2o |  3 | 0  3 | * 4

(-x)3x3o

  .  . . | 12 | 1  2 | 2 1
---------+----+------+----
 -x  . . |  2 | 6  * | 2 0
  .  x . |  2 | * 12 | 1 1
---------+----+------+----
(-x)3x . |  6 | 3  3 | 4 *
  .  x3o |  3 | 0  3 | * 4

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