Acronym | squasirco |
Name | square - small-rhombicuboctahedron duoprism |
Circumradius | sqrt[7+2 sqrt(2)]/2 = 1.567516 |
Volume | [12+10 sqrt(2)]/3 = 8.714045 |
Face vector | 96, 288, 320, 156, 30 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x4o x3o4x . . . . . | 96 | 2 2 2 | 1 4 4 1 2 1 | 2 2 2 4 2 1 | 1 2 1 2 ----------+----+----------+-------------------+------------------+--------- x . . . . | 2 | 96 * * | 1 2 2 0 0 0 | 2 2 1 2 1 0 | 1 2 1 1 . . x . . | 2 | * 96 * | 0 2 0 1 1 0 | 1 0 2 2 0 1 | 1 1 0 2 . . . . x | 2 | * * 96 | 0 0 2 0 1 1 | 0 1 0 2 2 1 | 0 1 1 2 ----------+----+----------+-------------------+------------------+--------- x4o . . . | 4 | 4 0 0 | 24 * * * * * | 2 2 0 0 0 0 | 1 2 1 0 x . x . . | 4 | 2 2 0 | * 96 * * * * | 1 0 1 1 0 0 | 1 1 0 1 x . . . x | 4 | 2 0 2 | * * 96 * * * | 0 1 0 1 1 0 | 0 1 1 1 . . x3o . | 3 | 0 3 0 | * * * 32 * * | 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 2 | * * * * 48 * | 0 0 0 2 0 1 | 0 1 0 2 . . . o4x | 4 | 0 0 4 | * * * * * 24 | 0 0 0 0 2 1 | 0 0 1 2 ----------+----+----------+-------------------+------------------+--------- x4o x . . ♦ 8 | 8 4 0 | 2 4 0 0 0 0 | 24 * * * * * | 1 1 0 0 x4o . . x ♦ 8 | 8 0 4 | 2 0 4 0 0 0 | * 24 * * * * | 0 1 1 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 32 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 48 * * | 0 1 0 1 x . . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * 24 * | 0 0 1 1 . . x3o4x ♦ 24 | 0 24 24 | 0 0 0 8 12 6 | * * * * * 4 | 0 0 0 2 ----------+----+----------+-------------------+------------------+--------- x4o x3o . ♦ 12 | 12 12 0 | 3 12 0 4 0 0 | 3 0 4 0 0 0 | 8 * * * x4o x . x ♦ 16 | 16 8 8 | 4 8 8 0 4 0 | 2 2 0 4 0 0 | * 12 * * x4o . o4x ♦ 16 | 16 0 16 | 4 0 16 0 0 4 | 0 4 0 0 4 0 | * * 6 * x . x3o4x ♦ 48 | 24 48 48 | 0 24 24 16 24 12 | 0 0 8 12 6 2 | * * * 4 snubbed forms: s4o2x3o4s
x x x3o4x . . . . . | 96 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x . . . . | 2 | 48 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 48 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 96 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 96 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x x . . . | 4 | 2 2 0 0 | 24 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 48 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 48 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 48 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 48 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 32 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 48 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4x | 4 | 0 0 0 4 | * * * * * * * 24 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x x x . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 0 | 24 * * * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 24 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 16 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 24 * * * * * | 0 1 0 1 0 x . . o4x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 12 * * * * | 0 0 1 1 0 . x x3o . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * * 16 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * * 24 * * | 0 1 0 0 1 . x . o4x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 12 * | 0 0 1 0 1 . . x3o4x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * * * * * 4 | 0 0 0 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x x x3o . ♦ 12 | 6 6 12 0 | 3 6 0 6 0 4 0 0 | 3 0 2 0 0 2 0 0 0 | 8 * * * * x x x . x ♦ 16 | 8 8 8 8 | 4 4 4 4 4 0 4 0 | 2 2 0 2 0 0 2 0 0 | * 12 * * * x x . o4x ♦ 16 | 8 8 0 16 | 4 0 8 0 8 0 0 4 | 0 4 0 0 2 0 0 2 0 | * * 6 * * x . x3o4x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 24 12 | 0 0 8 12 6 0 0 0 2 | * * * 2 * . x x3o4x ♦ 48 | 0 24 48 48 | 0 0 0 24 24 16 24 12 | 0 0 0 0 0 8 12 6 2 | * * * * 2 snubbed forms: x2s2x3o4s
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