Acronym cotco
TOCID symbol tCOC*
Name cuboctatruncated cuboctahedron,
cubitruncated cuboctahedron
 
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Circumradius sqrt(7)/2 = 1.322876
Vertex figure [6,8,8/3]
Coordinates ((1+sqrt(2))/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
General of army w3x4x
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • between {6} and {8/3}:   arccos[-1/sqrt(3)] = 125.264390°
  • between {8} and {8/3}:   90°
  • between {6} and {8}:   arccos[1/sqrt(3)] = 54.735610°
Face vector 48, 72, 20
Confer
general polytopal classes:
Wythoffian polyhedra  
External
links
hedrondude   wikipedia   polytopewiki   WikiChoron   mathworld

As abstract polytope cotco is automorph, thereby interchanging the roles of octagons and octagrams.


Incidence matrix according to Dynkin symbol

x4/3x3x4*a

.   . .    | 48 |  1  1  1 | 1 1 1
-----------+----+----------+------
x   . .    |  2 | 24  *  * | 1 1 0
.   x .    |  2 |  * 24  * | 1 0 1
.   . x    |  2 |  *  * 24 | 0 1 1
-----------+----+----------+------
x4/3x .    |  8 |  4  4  0 | 6 * *  {8/3}
x   . x4*a |  8 |  4  0  4 | * 6 *  {8}
.   x3x    |  6 |  0  3  3 | * * 8  {6}

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