Acronym | socco |
TOCID symbol | bCO |
Name | small cubicuboctahedron |
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Circumradius | sqrt[5+2 sqrt(2)]/2 = 1.398966 |
Inradius wrt. {3} | -[3+sqrt(2)]/sqrt(12) = -1.274274 |
Inradius wrt. {4} | (1+sqrt(2))/2 = 1.207107 |
Inradius wrt. {8} | 1/2 = 0.5 |
Vertex figure | [3/2,8,4,8] |
Snub derivation |
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Coordinates | ((1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign |
Volume | [6+8 sqrt(2)]/3 = 5.771236 |
Surface | 18+12 sqrt(2)+2 sqrt(3) = 38.434664 |
General of army | sirco |
Colonel of regiment | sirco |
Dihedral angles |
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Face vector | 24, 48, 20 |
Confer |
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External links |
As abstract polytope socco is isomorphic to gocco, thereby replacing octagons by octagrams. – As such socco is a lieutenant.
The small cubicuboctahedron is an edge-faceting of the small rhombicuboctahedron (sirco).
Incidence matrix according to Dynkin symbol
x3/2o4x4*a . . . | 24 | 2 2 | 1 2 1 -----------+----+-------+------ x . . | 2 | 24 * | 1 1 0 . . x | 2 | * 24 | 0 1 1 -----------+----+-------+------ x3/2o . | 3 | 3 0 | 8 * * x . x4*a | 8 | 4 4 | * 6 * . o4x | 4 | 0 4 | * * 6
x4/3o3x4*a . . . | 24 | 2 2 | 1 2 1 -----------+----+-------+------ x . . | 2 | 24 * | 1 1 0 . . x | 2 | * 24 | 0 1 1 -----------+----+-------+------ x4/3o . | 4 | 4 0 | 6 * * x . x4*a | 8 | 4 4 | * 6 * . o3x | 3 | 0 3 | * * 8
β3o4x both( . . . ) | 24 | 2 2 | 1 1 2 --------------+----+-------+------ both( . . x ) | 2 | 24 * | 0 1 1 sefa( β3o . ) | 2 | * 24 | 1 0 1 --------------+----+-------+------ β3o . ♦ 3 | 0 3 | 8 * * both( . o4x ) | 4 | 4 0 | * 6 * sefa( β3o4x ) | 8 | 4 4 | * * 6 starting figure: x3o4x
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