Acronym gocco
TOCID symbol cOC*
Name great cubicuboctahedron
 
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Circumradius sqrt[5-2 sqrt(2)]/2 = 0.736813
Vertex figure [3,8/3,4,8/3]
Coordinates ((sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army tic
Colonel of regiment (is itself locally convex – other uniform polyhedral members: querco   groh – other edge facetings)
Dihedral angles
  • between {4} and {8/3}:   90°
  • between {3} and {8/3}:   arccos(-1/sqrt(3)) = 125.264390°
Confer
compounds:
raquahri  
External
links
hedrondude   wikipedia   WikiChoron   mathworld   Polyedergarten

As abstract polytope gocco is isomorphic to socco, thereby replacing octagrams by octagons.


Incidence matrix according to Dynkin symbol

x4/3x3o4*a

.   . .    | 24 |  2  2 | 2 1 1
-----------+----+-------+------
x   . .    |  2 | 24  * | 1 1 0
.   x .    |  2 |  * 24 | 1 0 1
-----------+----+-------+------
x4/3x .    |  8 |  4  4 | 6 * *
x   . o4*a |  4 |  4  0 | * 6 *
.   x3o    |  3 |  0  3 | * * 8

x4/3x4/3o3/2*a

.   .   .      | 24 |  2  2 | 2 1 1
---------------+----+-------+------
x   .   .      |  2 | 24  * | 1 1 0
.   x   .      |  2 |  * 24 | 1 0 1
---------------+----+-------+------
x4/3x   .      |  8 |  4  4 | 6 * *
x   .   o3/2*a |  3 |  3  0 | * 8 *
.   x4/3o      |  4 |  0  4 | * * 6

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