Acronym | gocco |
TOCID symbol | cOC* |
Name | great cubicuboctahedron |
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Circumradius | sqrt[5-2 sqrt(2)]/2 = 0.736813 |
Inradius wrt. {8/3} | 1/2 = 0.5 |
Inradius wrt. {3} | [3-sqrt(2)]/sqrt(12) = 0.457777 |
Inradius wrt. {4} | (sqrt(2)-1)/2 = 0.207107 |
Vertex figure | [3,8/3,4,8/3] |
Coordinates | ((sqrt(2)-1)/2, 1/2, 1/2) & all permutations, all changes of sign |
Volume | [8 sqrt(2)-6]/3 = 1.771236 |
Surface | -6+12 sqrt(2)+2 sqrt(3) = 14.434664 |
General of army | tic |
Colonel of regiment | (is itself locally convex – other uniform polyhedral members: querco groh – other edge facetings) |
Dihedral angles |
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Face vector | 24, 48, 20 |
Confer |
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External links |
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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