Acronym | hike |
Name | hexagon icosahedron duoprism |
Circumradius | sqrt[(13+sqrt(5))/8] = 1.380039 |
Face vector | 72, 252, 312, 156, 26 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x6o x3o5o . . . . . | 72 | 2 5 | 1 10 5 | 5 10 1 | 5 2 ----------+----+--------+------------+----------+----- x . . . . | 2 | 72 * | 1 5 0 | 5 5 0 | 5 1 . . x . . | 2 | * 180 | 0 2 2 | 1 4 1 | 2 2 ----------+----+--------+------------+----------+----- x6o . . . | 6 | 6 0 | 12 * * | 5 0 0 | 5 0 x . x . . | 4 | 2 2 | * 180 * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 120 | 0 2 1 | 1 2 ----------+----+--------+------------+----------+----- x6o x . . ♦ 12 | 12 6 | 2 6 0 | 30 * * | 2 0 x . x3o . ♦ 6 | 3 6 | 0 3 2 | * 120 * | 1 1 . . x3o5o ♦ 12 | 0 30 | 0 0 20 | * * 6 | 0 2 ----------+----+--------+------------+----------+----- x6o x3o . ♦ 18 | 18 18 | 3 18 6 | 3 6 0 | 20 * x . x3o5o ♦ 24 | 12 60 | 0 30 40 | 0 20 2 | * 6
x3x x3o5o . . . . . | 72 | 1 1 5 | 1 5 5 5 | 5 5 5 1 | 5 1 1 ----------+----+-----------+--------------+------------+------- x . . . . | 2 | 36 * * | 1 5 0 0 | 5 5 0 0 | 5 1 0 . x . . . | 2 | * 36 * | 1 0 5 0 | 5 0 5 0 | 5 0 1 . . x . . | 2 | * * 180 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ----------+----+-----------+--------------+------------+------- x3x . . . | 6 | 3 3 0 | 12 * * * | 5 0 0 0 | 5 0 0 x . x . . | 4 | 2 0 2 | * 90 * * | 1 2 0 0 | 2 1 0 . x x . . | 4 | 0 2 2 | * * 90 * | 1 0 2 0 | 2 0 1 . . x3o . | 3 | 0 0 3 | * * * 120 | 0 1 1 1 | 1 1 1 ----------+----+-----------+--------------+------------+------- x3x x . . ♦ 12 | 6 6 6 | 2 3 3 0 | 30 * * * | 2 0 0 x . x3o . ♦ 6 | 3 0 6 | 0 3 0 2 | * 60 * * | 1 1 0 . x x3o . ♦ 6 | 0 3 6 | 0 0 3 2 | * * 60 * | 1 0 1 . . x3o5o ♦ 12 | 0 0 30 | 0 0 0 20 | * * * 6 | 0 1 1 ----------+----+-----------+--------------+------------+------- x3x x3o . ♦ 18 | 9 9 18 | 3 9 9 6 | 3 3 3 0 | 20 * * x . x3o5o ♦ 24 | 12 0 60 | 0 30 0 40 | 0 20 0 2 | * 3 * . x x3o5o ♦ 24 | 0 12 60 | 0 0 30 40 | 0 0 20 2 | * * 3
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