Acronym | siphinnip |
Name | small-prismated-hemipenteractic prism |
Circumradius | sqrt(15/8) = 1.369306 |
Volume | 467 sqrt(2)/120 = 5.503648 |
Face vector | 160, 880, 1840, 1680, 644, 84 |
Confer |
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Incidence matrix according to Dynkin symbol
x x3o3o *c3o3x . . . . . . | 160 | 1 6 4 | 6 4 12 12 6 | 12 12 6 4 4 12 6 4 | 4 4 12 6 4 1 4 4 1 | 1 4 4 1 1 ---------------+-----+------------+---------------------+---------------------------------+-----------------------------+-------------- x . . . . . | 2 | 80 * * | 6 4 0 0 0 | 12 12 6 0 0 0 0 0 | 4 4 12 6 4 0 0 0 0 | 1 4 4 1 0 . x . . . . | 2 | * 480 * | 1 0 4 2 0 | 4 2 0 2 2 4 1 0 | 2 2 4 1 0 1 2 2 0 | 1 2 2 0 1 . . . . . x | 2 | * * 320 | 0 1 0 3 3 | 0 3 3 0 0 3 3 3 | 0 0 3 3 3 0 1 3 1 | 0 1 3 1 1 ---------------+-----+------------+---------------------+---------------------------------+-----------------------------+-------------- x x . . . . | 4 | 2 2 0 | 240 * * * * | 4 2 0 0 0 0 0 0 | 2 2 4 1 0 0 0 0 0 | 1 2 2 0 0 x . . . . x | 4 | 2 0 2 | * 160 * * * | 0 3 3 0 0 0 0 0 | 0 0 3 3 3 0 0 0 0 | 0 1 3 1 0 . x3o . . . | 3 | 0 3 0 | * * 640 * * | 1 0 0 1 1 1 0 0 | 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1 . x . . . x | 4 | 0 2 2 | * * * 480 * | 0 1 0 0 0 2 1 0 | 0 0 2 1 0 0 1 2 0 | 0 1 2 0 1 . . . . o3x | 3 | 0 0 3 | * * * * 320 | 0 0 1 0 0 0 1 2 | 0 0 0 1 2 0 0 2 1 | 0 0 2 1 1 ---------------+-----+------------+---------------------+---------------------------------+-----------------------------+-------------- x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 320 * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x x . . . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 240 * * * * * * | 0 0 2 1 0 0 0 0 0 | 0 1 2 0 0 x . . . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 160 * * * * * | 0 0 0 1 2 0 0 0 0 | 0 0 2 1 0 . x3o3o . . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 160 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x3o . *c3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * * 160 * * * | 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 . x3o . . x ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * * * 320 * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 . x . . o3x ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * * * 160 * | 0 0 0 1 0 0 0 2 0 | 0 0 2 0 1 . . o . *c3o3x ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * * * 160 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+-----+------------+---------------------+---------------------------------+-----------------------------+-------------- x x3o3o . . ♦ 8 | 4 12 0 | 6 0 8 0 0 | 4 0 0 2 0 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 x x3o . *c3o . ♦ 8 | 4 12 0 | 6 0 8 0 0 | 4 0 0 0 2 0 0 0 | * 80 * * * * * * * | 1 0 1 0 0 x x3o . . x ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 0 0 2 0 0 | * * 160 * * * * * * | 0 1 1 0 0 x x . . o3x ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 0 0 2 0 | * * * 80 * * * * * | 0 0 2 0 0 x . o . *c3o3x ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 80 * * * * | 0 0 1 1 0 . x3o3o *c3o . ♦ 8 | 0 24 0 | 0 0 32 0 0 | 0 0 0 8 8 0 0 0 | * * * * * 20 * * * | 1 0 0 0 1 . x3o3o . x ♦ 8 | 0 12 4 | 0 0 8 6 0 | 0 0 0 2 0 4 0 0 | * * * * * * 80 * * | 0 1 0 0 1 . x3o . *c3o3x ♦ 20 | 0 30 30 | 0 0 20 30 20 | 0 0 0 0 5 10 10 5 | * * * * * * * 32 * | 0 0 1 0 1 . . o3o *c3o3x ♦ 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 0 0 5 | * * * * * * * * 32 | 0 0 0 1 1 ---------------+-----+------------+---------------------+---------------------------------+-----------------------------+-------------- x x3o3o *c3o . ♦ 16 | 8 48 0 | 24 0 64 0 0 | 32 0 0 16 16 0 0 0 | 8 8 0 0 0 2 0 0 0 | 10 * * * * x x3o3o . x ♦ 16 | 8 24 8 | 12 4 16 12 0 | 8 6 0 4 0 8 0 0 | 2 0 4 0 0 0 2 0 0 | * 40 * * * x x3o . *c3o3x ♦ 40 | 20 60 60 | 30 30 40 60 40 | 20 30 20 0 10 20 20 10 | 0 5 10 10 5 0 0 2 0 | * * 16 * * x . o3o *c3o3x ♦ 10 | 5 0 20 | 0 10 0 0 20 | 0 0 10 0 0 0 0 10 | 0 0 0 0 5 0 0 0 2 | * * * 16 * . x3o3o *c3o3x ♦ 80 | 0 240 160 | 0 0 320 240 160 | 0 0 0 80 80 160 80 80 | 0 0 0 0 0 10 40 16 16 | * * * * 2
xx3oo3oo *b3oo3xx&#x → height = 1 ...
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