Acronym | soccope |
Name | small-cubicuboctahedron prism |
Cross sections |
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Circumradius | sqrt[(3+sqrt(2))/2] = 1.485633 |
Coordinates | ((1+sqrt(2))/2, 1/2, 1/2, 1/2) & all permutations in all but last coord., all changes of sign |
General of army | sircope |
Colonel of regiment | sircope |
Dihedral angles | |
Face vector | 48, 120, 88, 22 |
Confer |
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External links |
As abstract polytope soccope is isomorphic to goccope, thereby replacing octagons by octagrams, respectively socco by gocco and op by stop.
The blend of 4 soccopes results in stefacoth.
Incidence matrix according to Dynkin symbol
x o3x4x4/3*b . . . . | 48 | 1 2 2 | 2 2 1 1 2 | 1 1 2 1 -------------+----+----------+----------------+-------- x . . . | 2 | 24 * * | 2 2 0 0 0 | 1 1 2 0 . . x . | 2 | * 48 * | 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * 48 | 0 1 0 1 1 | 0 1 1 1 -------------+----+----------+----------------+-------- x . x . | 4 | 2 2 0 | 24 * * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * 24 * * * | 0 1 1 0 . o3x . | 3 | 0 3 0 | * * 16 * * | 1 0 0 1 . o . x4/3*b | 4 | 0 0 4 | * * * 12 * | 0 1 0 1 . . x4x | 8 | 0 4 4 | * * * * 12 | 0 0 1 1 -------------+----+----------+----------------+-------- x o3x . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 8 * * * x o . x4/3*b ♦ 8 | 4 0 8 | 0 4 0 2 0 | * 6 * * x . x4x ♦ 16 | 8 8 8 | 4 4 0 0 2 | * * 6 * . o3x4x4/3*b ♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * 2
x o3/2x4x4*b . . . . | 48 | 1 2 2 | 2 2 1 1 2 | 1 1 2 1 -------------+----+----------+----------------+-------- x . . . | 2 | 24 * * | 2 2 0 0 0 | 1 1 2 0 . . x . | 2 | * 48 * | 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * 48 | 0 1 0 1 1 | 0 1 1 1 -------------+----+----------+----------------+-------- x . x . | 4 | 2 2 0 | 24 * * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * 24 * * * | 0 1 1 0 . o3/2x . | 3 | 0 3 0 | * * 16 * * | 1 0 0 1 . o . x4*b | 4 | 0 0 4 | * * * 12 * | 0 1 0 1 . . x4x | 8 | 0 4 4 | * * * * 12 | 0 0 1 1 -------------+----+----------+----------------+-------- x o3/2x . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 8 * * * x o . x4*b ♦ 8 | 4 0 8 | 0 4 0 2 0 | * 6 * * x . x4x ♦ 16 | 8 8 8 | 4 4 0 0 2 | * * 6 * . o3/2x4x4*b ♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * 2
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