Acronym | contip |
Name |
tetracontoctachoron prism, bitruncated-icositetrachoron prism |
Circumradius | sqrt[25+16 sqrt(2)]/2 = 3.450631 |
Face vector | 576, 1440, 1248, 432, 50 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x o3x4x3o . . . . . | 576 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+-----+-------------+---------------------+-----------------+-------- x . . . . | 2 | 288 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . . x . . | 2 | * 576 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 576 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+-----+-------------+---------------------+-----------------+-------- x . x . . | 4 | 2 2 0 | 288 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 288 * * * | 0 2 1 0 0 | 1 2 0 . o3x . . | 3 | 0 3 0 | * * 192 * * | 1 0 0 2 0 | 2 0 1 . . x4x . | 8 | 0 4 4 | * * * 288 * | 0 1 0 1 1 | 1 1 1 . . . x3o | 3 | 0 0 3 | * * * * 192 | 0 0 1 0 2 | 0 2 1 ----------+-----+-------------+---------------------+-----------------+-------- x o3x . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 96 * * * * | 2 0 0 x . x4x . ♦ 16 | 8 8 8 | 4 4 0 2 0 | * 144 * * * | 1 1 0 x . . x3o ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 96 * * | 0 2 0 . o3x4x . ♦ 24 | 0 24 12 | 0 0 8 6 0 | * * * 48 * | 1 0 1 . . x4x3o ♦ 24 | 0 12 24 | 0 0 0 6 8 | * * * * 48 | 0 1 1 ----------+-----+-------------+---------------------+-----------------+-------- x o3x4x . ♦ 48 | 24 48 24 | 24 12 16 12 0 | 8 6 0 2 0 | 24 * * x . x4x3o ♦ 48 | 24 24 48 | 12 24 0 12 16 | 0 6 8 0 2 | * 24 * . o3x4x3o ♦ 288 | 0 288 288 | 0 0 96 144 96 | 0 0 0 24 24 | * * 2
or . . . . . | 576 | 1 4 | 4 2 4 | 2 4 4 | 4 1 -------------+-----+----------+-------------+------------+----- x . . . . | 2 | 288 * | 4 0 0 | 2 4 0 | 4 0 . . x . . & | 2 | * 1152 | 1 1 2 | 1 2 3 | 3 1 -------------+-----+----------+-------------+------------+----- x . x . . & | 4 | 2 2 | 576 * * | 1 2 0 | 3 0 . o3x . . & | 3 | 0 3 | * 384 * | 1 0 2 | 2 1 . . x4x . | 8 | 0 8 | * * 288 | 0 1 2 | 2 1 -------------+-----+----------+-------------+------------+----- x o3x . . & ♦ 6 | 3 6 | 3 2 0 | 192 * * | 2 0 x . x4x . ♦ 16 | 8 16 | 8 0 2 | * 144 * | 2 0 . o3x4x . & ♦ 24 | 0 36 | 0 8 6 | * * 96 | 1 1 -------------+-----+----------+-------------+------------+----- x o3x4x . & ♦ 48 | 24 72 | 36 16 12 | 8 6 2 | 48 * . o3x4x3o ♦ 288 | 0 576 | 0 192 144 | 0 0 48 | * 2
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