Acronym ...
Name x3q3o,
variation of truncated tetrahedron
Circumradius sqrt[(11+4 sqrt(2))/8] = 1.442951
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between q3o and x3q:   arccos(-1/3) = 109.471221°
  • between x3q and x3q (at x):   arccos(1/3) = 70.528779°
Confer
uniform variant:
tut  
variations:
a3b3c   x3v3o   x3u3o   x3w3o   v3x3o   u3x3o   w3x3o   (-x)3x3o  

using edge sizes x = 1 and q = sqrt(2) = 1.414214


Incidence matrix according to Dynkin symbol

x3q3o

. . . | 12 | 1  2 | 2 1
------+----+------+----
x . . |  2 | 6  * | 2 0
. q . |  2 | * 12 | 1 1
------+----+------+----
x3q . |  6 | 3  3 | 4 *
. q3o |  3 | 0  3 | * 4

o3/2q3x

.   . . | 12 |  2 1 | 1 2
--------+----+------+----
.   q . |  2 | 12 * | 1 1
.   . x |  2 |  * 6 | 0 2
--------+----+------+----
o3/2q . |  3 | 3  0 | 4 *
.   q3x |  6 | 3  3 | * 4

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