Acronym ...
Name x3x3u,
variation of truncated octahedron,
Waterman polyhedron number 5 wrt. face-centered cubic lattice A3 centered at a shallow hole
Circumradius sqrt(35/8) = 2.091650
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between x . u and x3x:   arccos[-1/sqrt(3)] = 125.264390°
  • between x . u and x3u (at u):   arccos[-1/sqrt(3)] = 125.264390°
  • between x3x and x3u:   arccos(-1/3) = 109.471221°
Face vector 24, 36, 14
Confer
uniform variant:
toe  
variations:
a3b3c   x3f4o   x3u4o   x3w4o   u3x4o   (-x)3x4o  

Incidence matrix according to Dynkin symbol

x3x3u

. . . | 24 |  1  1  1 | 1 1 1
------+----+----------+------
x . . |  2 | 12  *  * | 1 1 0
. x . |  2 |  * 12  * | 1 0 1
. . u |  2 |  *  * 12 | 0 1 1
------+----+----------+------
x3x . |  6 |  3  3  0 | 4 * *
x . u |  4 |  2  0  2 | * 6 *
. x3u |  6 |  0  3  3 | * * 4

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