Acronym | trikep |
Name | triangle-icosahedron duoprismatic prism |
Circumradius | sqrt[(29+3 sqrt(5))/24] = 1.219771 |
Face vector | 72, 288, 450, 348, 139, 25 |
Confer |
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Incidence matrix according to Dynkin symbol
x x3o x3o5o . . . . . . | 72 | 1 2 5 | 2 5 1 10 5 | 1 10 5 5 10 1 | 5 10 1 5 2 | 5 2 1 ------------+----+-----------+------------------+-------------------+--------------+------- x . . . . . | 2 | 36 * * | 2 5 0 0 0 | 1 10 5 0 0 0 | 5 10 1 0 0 | 5 2 0 . x . . . . | 2 | * 72 * | 1 0 1 5 0 | 1 5 0 5 5 0 | 5 5 0 5 1 | 5 1 1 . . . x . . | 2 | * * 180 | 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ------------+----+-----------+------------------+-------------------+--------------+------- x x . . . . | 4 | 2 2 0 | 36 * * * * | 1 5 0 0 0 0 | 5 5 0 0 0 | 5 1 0 x . . x . . | 4 | 2 0 2 | * 90 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x3o . . . | 3 | 0 3 0 | * * 24 * * | 1 0 0 5 0 0 | 5 0 0 5 0 | 5 0 1 . x . x . . | 4 | 0 2 2 | * * * 180 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o . | 3 | 0 0 3 | * * * * 120 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ------------+----+-----------+------------------+-------------------+--------------+------- x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 12 * * * * * | 5 0 0 0 0 | 5 0 0 x x . x . . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 90 * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 60 * * * | 0 2 1 0 0 | 1 2 0 . x3o x . . ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * 60 * * | 1 0 0 2 0 | 2 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * 120 * | 0 1 0 1 1 | 1 1 1 . . . x3o5o ♦ 12 | 0 0 30 | 0 0 0 0 20 | * * * * * 6 | 0 0 1 0 2 | 0 2 1 ------------+----+-----------+------------------+-------------------+--------------+------- x x3o x . . ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 2 0 0 | 30 * * * * | 2 0 0 x x . x3o . ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 2 0 | * 60 * * * | 1 1 0 x . . x3o5o ♦ 24 | 12 0 60 | 0 30 0 0 40 | 0 0 20 0 0 2 | * * 3 * * | 0 2 0 . x3o x3o . ♦ 9 | 0 9 9 | 0 0 3 9 3 | 0 0 0 3 3 0 | * * * 40 * | 1 0 1 . x . x3o5o ♦ 24 | 0 12 60 | 0 0 0 30 40 | 0 0 0 0 20 2 | * * * * 6 | 0 1 1 ------------+----+-----------+------------------+-------------------+--------------+------- x x3o x3o . ♦ 18 | 9 18 18 | 9 9 6 18 6 | 3 9 3 6 6 0 | 3 3 0 2 0 | 20 * * x x . x3o5o ♦ 48 | 24 24 120 | 12 60 0 60 80 | 0 30 40 0 40 4 | 0 20 2 0 2 | * 3 * . x3o x3o5o ♦ 36 | 0 36 90 | 0 0 12 90 60 | 0 0 0 30 60 3 | 0 0 0 20 3 | * * 2
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