Acronym ...
Name w3x4x,
variation of girco,
hull of cotco
Circumradius sqrt[21+14 sqrt(2)]/2 = 3.193704
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between w . x and w3x (at w):   arccos[-sqrt(2/3)] = 144.735610°
  • between w . x and x4x:   135°
  • between w3x and x4x:   arccos[-1/sqrt(3)] = 125.264390°
Face vector 48, 72, 26
Confer
uniform variant:
girco  
variations:
a3b4c   x3x4q   q3x4x   q3q4x  

Incidence matrix according to Dynkin symbol

w3x4x

. . . | 48 |  1  1  1 | 1  1 1
------+----+----------+-------
w . . |  2 | 24  *  * | 1  1 0
. x . |  2 |  * 24  * | 1  0 1
. . x |  2 |  *  * 24 | 0  1 1
------+----+----------+-------
w3x . |  6 |  3  3  0 | 8  * *
w . x |  4 |  2  0  2 | * 12 *
. x4x |  8 |  0  4  4 | *  * 6

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