Acronym | sircotic |
Name | small-rhombicuboctahedron - truncated-cube duoprism |
Circumradius | sqrt[(6+3 sqrt(2))/2] = 2.263033 |
Volume | [532+378 sqrt(2)]/9 = 118.508081 |
Face vector | 576, 2016, 2688, 1656, 448, 40 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o4x o3x4x . . . . . . | 576 | 2 2 2 1 | 1 2 4 2 1 4 2 1 2 | 1 2 1 4 2 2 4 2 1 2 4 1 | 2 1 1 2 2 4 2 1 2 2 | 1 2 1 2 1 ------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+----------- x . . . . . | 2 | 576 * * * | 1 1 2 1 0 0 0 0 0 | 1 2 1 2 1 1 2 0 0 0 0 0 | 2 1 1 2 1 2 1 0 0 0 | 1 2 1 1 0 . . x . . . | 2 | * 576 * * | 0 1 0 0 1 2 1 0 0 | 1 0 0 2 1 0 0 2 1 1 2 0 | 2 1 0 0 1 2 0 1 2 1 | 1 2 0 1 1 . . . . x . | 2 | * * 576 * | 0 0 2 0 0 2 0 1 1 | 0 1 0 2 0 2 2 1 0 2 2 1 | 1 0 1 1 2 2 2 1 1 2 | 1 1 1 2 1 . . . . . x | 2 | * * * 288 | 0 0 0 2 0 0 2 0 2 | 0 0 1 0 2 0 4 0 1 0 4 1 | 0 1 0 2 0 4 2 0 2 2 | 0 2 1 2 1 ------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+----------- x3o . . . . | 3 | 3 0 0 0 | 192 * * * * * * * * | 1 2 1 0 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . . | 4 | 2 2 0 0 | * 288 * * * * * * * | 1 0 0 2 1 0 0 0 0 0 0 0 | 2 1 0 0 1 2 0 0 0 0 | 1 2 0 1 0 x . . . x . | 4 | 2 0 2 0 | * * 576 * * * * * * | 0 1 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 1 1 0 0 0 | 1 1 1 1 0 x . . . . x | 4 | 2 0 0 2 | * * * 288 * * * * * | 0 0 1 0 1 0 2 0 0 0 0 0 | 0 1 0 2 0 2 1 0 0 0 | 0 2 1 1 0 . o4x . . . | 4 | 0 4 0 0 | * * * * 144 * * * * | 1 0 0 0 0 0 0 2 1 0 0 0 | 2 1 0 0 0 0 0 1 2 0 | 1 2 0 0 1 . . x . x . | 4 | 0 2 2 0 | * * * * * 576 * * * | 0 0 0 1 0 0 0 1 0 1 1 0 | 1 0 0 0 1 1 0 1 1 1 | 1 1 0 1 1 . . x . . x | 4 | 0 2 0 2 | * * * * * * 288 * * | 0 0 0 0 1 0 0 0 1 0 2 0 | 0 1 0 0 0 2 0 0 2 1 | 0 2 0 1 1 . . . o3x . | 3 | 0 0 3 0 | * * * * * * * 192 * | 0 0 0 0 0 2 0 0 0 2 0 1 | 0 0 1 0 2 0 2 1 0 2 | 1 0 1 2 1 . . . . x4x | 8 | 0 0 4 4 | * * * * * * * * 144 | 0 0 0 0 0 0 2 0 0 0 2 1 | 0 0 0 1 0 2 2 0 1 2 | 0 1 1 2 1 ------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+----------- x3o4x . . . ♦ 24 | 24 24 0 0 | 8 12 0 0 6 0 0 0 0 | 24 * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0 x3o . . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 0 | * 192 * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x3o . . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 0 0 | * * 96 * * * * * * * * * | 0 1 0 2 0 0 0 0 0 0 | 0 2 1 0 0 x . x . x . ♦ 8 | 4 4 4 0 | 0 2 2 0 0 2 0 0 0 | * * * 288 * * * * * * * * | 1 0 0 0 1 1 0 0 0 0 | 1 1 0 1 0 x . x . . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 0 2 0 0 | * * * * 144 * * * * * * * | 0 1 0 0 0 2 0 0 0 0 | 0 2 0 1 0 x . . o3x . ♦ 6 | 3 0 6 0 | 0 0 3 0 0 0 0 2 0 | * * * * * 192 * * * * * * | 0 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x . . . x4x ♦ 16 | 8 0 8 8 | 0 0 4 4 0 0 0 0 2 | * * * * * * 144 * * * * * | 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . o4x . x . ♦ 8 | 0 8 4 0 | 0 0 0 0 2 4 0 0 0 | * * * * * * * 144 * * * * | 1 0 0 0 0 0 0 1 1 0 | 1 1 0 0 1 . o4x . . x ♦ 8 | 0 8 0 4 | 0 0 0 0 2 0 4 0 0 | * * * * * * * * 72 * * * | 0 1 0 0 0 0 0 0 2 0 | 0 2 0 0 1 . . x o3x . ♦ 6 | 0 3 6 0 | 0 0 0 0 0 3 0 2 0 | * * * * * * * * * 192 * * | 0 0 0 0 1 0 0 1 0 1 | 1 0 0 1 1 . . x . x4x ♦ 16 | 0 8 8 8 | 0 0 0 0 0 4 4 0 2 | * * * * * * * * * * 144 * | 0 0 0 0 0 1 0 0 1 1 | 0 1 0 1 2 . . . o3x4x ♦ 24 | 0 0 24 12 | 0 0 0 0 0 0 0 8 6 | * * * * * * * * * * * 24 | 0 0 0 0 0 0 2 0 0 2 | 0 0 1 2 1 ------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+----------- x3o4x . x . ♦ 48 | 48 48 24 0 | 16 24 24 0 12 24 0 0 0 | 2 8 0 12 0 0 0 6 0 0 0 0 | 24 * * * * * * * * * | 1 1 0 0 0 x3o4x . . x ♦ 48 | 48 48 0 24 | 16 24 0 24 12 0 24 0 0 | 2 0 8 0 12 0 0 0 6 0 0 0 | * 12 * * * * * * * * | 0 2 0 0 0 x3o . o3x . ♦ 9 | 9 0 9 0 | 3 0 9 0 0 0 0 3 0 | 0 3 0 0 0 3 0 0 0 0 0 0 | * * 64 * * * * * * * | 1 0 1 0 0 x3o . . x4x ♦ 24 | 24 0 12 12 | 8 0 12 12 0 0 0 0 3 | 0 4 4 0 0 0 3 0 0 0 0 0 | * * * 48 * * * * * * | 0 1 1 0 0 x . x o3x . ♦ 12 | 6 6 12 0 | 0 3 6 0 0 6 0 4 0 | 0 0 0 3 0 2 0 0 0 2 0 0 | * * * * 96 * * * * * | 1 0 0 1 0 x . x . x4x ♦ 32 | 16 16 16 16 | 0 8 8 8 0 8 8 0 4 | 0 0 0 4 4 0 2 0 0 0 2 0 | * * * * * 72 * * * * | 0 1 0 1 0 x . . o3x4x ♦ 48 | 24 0 48 24 | 0 0 24 12 0 0 0 16 12 | 0 0 0 0 0 8 6 0 0 0 0 2 | * * * * * * 24 * * * | 0 0 1 1 0 . o4x o3x . ♦ 12 | 0 12 12 0 | 0 0 0 0 3 12 0 4 0 | 0 0 0 0 0 0 0 3 0 4 0 0 | * * * * * * * 48 * * | 1 0 0 0 1 . o4x . x4x ♦ 32 | 0 32 16 16 | 0 0 0 0 8 16 16 0 4 | 0 0 0 0 0 0 0 4 4 0 4 0 | * * * * * * * * 36 * | 0 1 0 0 1 . . x o3x4x ♦ 48 | 0 24 48 24 | 0 0 0 0 0 24 12 16 12 | 0 0 0 0 0 0 0 0 0 8 6 2 | * * * * * * * * * 24 | 0 0 0 1 1 ------------+-----+-----------------+-------------------------------------+---------------------------------------------+-------------------------------+----------- x3o4x o3x . ♦ 72 | 72 72 72 0 | 24 36 72 0 18 72 0 24 0 | 3 24 0 36 0 24 0 18 0 24 0 0 | 3 0 8 0 12 0 0 6 0 0 | 8 * * * * x3o4x . x4x ♦ 192 | 192 192 96 96 | 64 96 96 96 48 96 96 0 24 | 8 32 32 48 48 0 24 24 24 0 24 0 | 4 4 0 8 0 12 0 0 6 0 | * 6 * * * x3o . o3x4x ♦ 72 | 72 0 72 36 | 24 0 72 36 0 0 0 24 18 | 0 24 12 0 0 24 18 0 0 0 0 3 | 0 0 8 6 0 0 3 0 0 0 | * * 8 * * x . x o3x4x ♦ 96 | 48 48 96 48 | 0 24 48 24 0 48 24 32 24 | 0 0 0 24 12 16 12 0 0 16 12 4 | 0 0 0 0 8 6 2 0 0 2 | * * * 12 * . o4x o3x4x ♦ 96 | 0 96 96 48 | 0 0 0 0 24 96 48 32 24 | 0 0 0 0 0 0 0 24 12 32 48 4 | 0 0 0 0 0 0 0 8 6 4 | * * * * 6
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