Acronym | tragrid |
Name | triangle - great-rhombicosidodecahedron duoprism |
Circumradius | sqrt[(97+36 sqrt(5))/12] = 3.845977 |
Face vector | 360, 900, 846, 369, 65 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o x3x5x . . . . . | 360 | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ----------+-----+-----------------+--------------------------+---------------------+----------- x . . . . | 2 | 360 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 180 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 180 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 180 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ----------+-----+-----------------+--------------------------+---------------------+----------- x3o . . . | 3 | 3 0 0 0 | 120 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . x . . | 4 | 2 2 0 0 | * 180 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x . | 4 | 2 0 2 0 | * * 180 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . . x | 4 | 2 0 0 2 | * * * 180 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 60 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 90 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x5x | 10 | 0 0 5 5 | * * * * * * 36 | 0 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+-----------------+--------------------------+---------------------+----------- x3o x . . ♦ 6 | 6 3 0 0 | 2 3 0 0 0 0 0 | 60 * * * * * * | 1 1 0 0 x3o . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 | * 60 * * * * * | 1 0 1 0 x3o . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 | * * 60 * * * * | 0 1 1 0 x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 | * * * 60 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 | * * * * 90 * * | 0 1 0 1 x . . x5x ♦ 20 | 10 0 10 10 | 0 0 5 5 0 0 2 | * * * * * 36 * | 0 0 1 1 . . x3x5x ♦ 120 | 0 60 60 60 | 0 0 0 0 20 30 12 | * * * * * * 3 | 0 0 0 2 ----------+-----+-----------------+--------------------------+---------------------+----------- x3o x3x . ♦ 18 | 18 9 9 0 | 6 9 9 0 3 0 0 | 3 3 0 3 0 0 0 | 20 * * * x3o x . x ♦ 12 | 12 6 0 6 | 4 6 0 6 0 3 0 | 2 0 2 0 3 0 0 | * 30 * * x3o . x5x ♦ 30 | 30 0 15 15 | 10 0 15 15 0 0 3 | 0 5 5 0 0 3 0 | * * 12 * x . x3x5x ♦ 240 | 120 120 120 120 | 0 60 60 60 40 60 24 | 0 0 0 20 30 12 2 | * * * 3 snubbed forms: x3o s3s5s
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