Acronym ...
Name x3w4o,
variation of truncated octahedron,
hull of rah,
hull of snu
Circumradius sqrt[(9+6 sqrt(2))/2] = 2.956796
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between w4o and x3w:   arccos(-1/sqrt(3)) = 125.264390°
  • between x3w and x3w (at x):   arccos(-1/3) = 109.471221°
Confer
uniform variant:
toe  
variations:
a3b3c   x3x3u   a3b4c   x3f4o   x3u4o   u3x4o   (-x)3x4o  
inscribed compounds:
rah   snu  

Incidence matrix according to Dynkin symbol

x3w4o

. . . | 24 |  1  2 | 2 1
------+----+-------+----
x . . |  2 | 12  * | 2 0
. w . |  2 |  * 24 | 1 1
------+----+-------+----
x3w . |  6 |  3  3 | 8 *
. w4o |  4 |  0  4 | * 6

x3w4/3o

. .   . | 24 |  1  2 | 2 1
--------+----+-------+----
x .   . |  2 | 12  * | 2 0
. w   . |  2 |  * 24 | 1 1
--------+----+-------+----
x3w   . |  6 |  3  3 | 8 *
. w4/3o |  4 |  0  4 | * 6

w3x3w

. . . | 24 |  1  1  1 | 1 1 1
------+----+----------+------
w . . |  2 | 12  *  * | 1 1 0
. x . |  2 |  * 12  * | 1 0 1
. . w |  2 |  *  * 12 | 0 1 1
------+----+----------+------
w3x . |  6 |  3  3  0 | 4 * *
w . w |  4 |  2  0  2 | * 6 *
. x3w |  6 |  0  3  3 | * * 4

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