Acronym | hati |
Name | hexagon - truncated-icosahedron duoprism |
Circumradius | sqrt[(37+9 sqrt(5))/8] = 2.672186 |
Face vector | 360, 900, 792, 288, 38 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x6o x3x5o . . . . . | 360 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+-----+-------------+-------------------+----------------+-------- x . . . . | 2 | 360 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 180 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 360 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+-----+-------------+-------------------+----------------+-------- x6o . . . | 6 | 6 0 0 | 60 * * * * | 1 2 0 0 0 | 2 1 0 x . x . . | 4 | 2 2 0 | * 180 * * * | 1 0 2 0 0 | 2 0 1 x . . x . | 4 | 2 0 2 | * * 360 * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 120 * | 0 0 2 0 1 | 1 0 2 . . . x5o | 5 | 0 0 5 | * * * * 72 | 0 0 0 2 1 | 0 1 2 ----------+-----+-------------+-------------------+----------------+-------- x6o x . . ♦ 12 | 12 6 0 | 2 6 0 0 0 | 30 * * * * | 2 0 0 x6o . x . ♦ 12 | 12 0 6 | 2 0 6 0 0 | * 60 * * * | 1 1 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 120 * * | 1 0 1 x . . x5o ♦ 10 | 5 0 10 | 0 0 5 0 2 | * * * 72 * | 0 1 1 . . x3x5o ♦ 60 | 0 30 60 | 0 0 0 20 12 | * * * * 6 | 0 0 2 ----------+-----+-------------+-------------------+----------------+-------- x6o x3x . ♦ 36 | 36 18 18 | 6 18 18 6 0 | 3 3 6 0 0 | 20 * * x6o . x5o ♦ 30 | 30 0 30 | 5 0 30 0 6 | 0 5 0 6 0 | * 12 * x . x3x5o ♦ 120 | 60 60 120 | 0 30 60 40 24 | 0 0 20 12 2 | * * 6
x3x x3x5o . . . . . | 360 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+-----+-----------------+-------------------------+---------------------+---------- x . . . . | 2 | 180 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 180 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 180 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 360 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+-----+-----------------+-------------------------+---------------------+---------- x3x . . . | 6 | 3 3 0 0 | 60 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 90 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 180 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 90 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 180 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 120 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x5o | 5 | 0 0 0 5 | * * * * * * 72 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+-----+-----------------+-------------------------+---------------------+---------- x3x x . . ♦ 12 | 6 6 6 0 | 2 3 0 3 0 0 0 | 30 * * * * * * | 2 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 60 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 60 * * * * | 1 0 1 0 x . . x5o ♦ 10 | 5 0 0 10 | 0 0 5 0 0 0 2 | * * * 36 * * * | 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 0 | * * * * 60 * * | 1 0 0 1 . x . x5o ♦ 10 | 0 5 0 10 | 0 0 0 0 5 0 2 | * * * * * 36 * | 0 1 0 1 . . x3x5o ♦ 60 | 0 0 30 60 | 0 0 0 0 0 20 12 | * * * * * * 6 | 0 0 1 1 ----------+-----+-----------------+-------------------------+---------------------+---------- x3x x3x . ♦ 36 | 18 18 18 18 | 6 9 9 9 9 6 0 | 3 3 3 0 3 0 0 | 20 * * * x3x . x5o ♦ 30 | 15 15 0 30 | 5 0 15 0 15 0 6 | 0 5 0 3 0 3 0 | * 12 * * x . x3x5o ♦ 120 | 60 0 60 120 | 0 30 60 0 0 40 24 | 0 0 20 12 0 0 2 | * * 3 * . x x3x5o ♦ 120 | 0 60 60 120 | 0 0 0 30 60 40 24 | 0 0 0 0 20 12 2 | * * * 3
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