Acronym | tridep |
Name | triangle-icosidodecahedron duoprismatic prism |
Circumradius | sqrt[(25+6 sqrt(5))/12] = 1.789237 |
Face vector | 180, 630, 882, 624, 229, 37 |
Confer |
|
Incidence matrix according to Dynkin symbol
x x3o o3x5o . . . . . . | 180 | 1 2 4 | 2 4 1 8 2 2 | 1 8 2 2 4 4 4 1 | 4 4 4 1 2 2 2 | 2 2 2 1 ------------+-----+------------+----------------------+---------------------------+--------------------+---------- x . . . . . | 2 | 90 * * | 2 4 0 0 0 0 | 1 8 2 2 0 0 0 0 | 4 4 4 1 0 0 0 | 2 2 2 0 . x . . . . | 2 | * 180 * | 1 0 1 4 0 0 | 1 4 0 0 4 2 2 0 | 4 2 2 0 2 2 1 | 2 2 1 1 . . . . x . | 2 | * * 360 | 0 1 0 2 1 1 | 0 2 1 1 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 ------------+-----+------------+----------------------+---------------------------+--------------------+---------- x x . . . . | 4 | 2 2 0 | 90 * * * * * | 1 4 0 0 0 0 0 0 | 4 2 2 0 0 0 0 | 2 2 1 0 x . . . x . | 4 | 2 0 2 | * 180 * * * * | 0 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . x3o . . . | 3 | 0 3 0 | * * 60 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 2 2 0 | 2 2 0 0 . x . . x . | 4 | 0 2 2 | * * * 360 * * | 0 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 0 3 | * * * * 120 * | 0 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x5o | 5 | 0 0 5 | * * * * * 72 | 0 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ------------+-----+------------+----------------------+---------------------------+--------------------+---------- x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 0 | 30 * * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 x x . . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 0 | * 180 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . . o3x . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 60 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x5o ♦ 10 | 5 0 10 | 0 5 0 0 0 2 | * * * 36 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . x3o . x . ♦ 6 | 0 6 3 | 0 0 2 3 0 0 | * * * * 120 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 0 3 6 | 0 0 0 3 2 0 | * * * * * 120 * * | 0 1 0 0 1 0 1 | 1 0 1 1 . x . . x5o ♦ 10 | 0 5 10 | 0 0 0 5 0 2 | * * * * * * 72 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . . o3x5o ♦ 30 | 0 0 60 | 0 0 0 0 20 12 | * * * * * * * 6 | 0 0 0 1 0 0 2 | 0 0 2 1 ------------+-----+------------+----------------------+---------------------------+--------------------+---------- x x3o . x . ♦ 12 | 6 12 6 | 6 3 4 6 0 0 | 2 3 0 0 2 0 0 0 | 60 * * * * * * | 1 1 0 0 x x . o3x . ♦ 12 | 6 6 12 | 3 6 0 6 4 0 | 0 3 2 0 0 2 0 0 | * 60 * * * * * | 1 0 1 0 x x . . x5o ♦ 20 | 10 10 20 | 5 10 0 10 0 4 | 0 5 0 2 0 0 2 0 | * * 36 * * * * | 0 1 1 0 x . . o3x5o ♦ 60 | 30 0 120 | 0 60 0 0 40 24 | 0 0 20 12 0 0 0 2 | * * * 3 * * * | 0 0 2 0 . x3o o3x . ♦ 9 | 0 9 9 | 0 0 3 9 3 0 | 0 0 0 0 3 3 0 0 | * * * * 40 * * | 1 0 0 1 . x3o . x5o ♦ 15 | 0 15 15 | 0 0 5 15 0 3 | 0 0 0 0 5 0 3 0 | * * * * * 24 * | 0 1 0 1 . x . o3x5o ♦ 60 | 0 30 120 | 0 0 0 60 40 24 | 0 0 0 0 0 20 12 2 | * * * * * * 6 | 0 0 1 1 ------------+-----+------------+----------------------+---------------------------+--------------------+---------- x x3o o3x . ♦ 18 | 9 18 18 | 9 9 6 18 6 0 | 3 9 3 0 6 6 0 0 | 3 3 0 0 2 0 0 | 20 * * * x x3o . x5o ♦ 30 | 15 30 30 | 15 15 10 30 0 6 | 5 15 0 3 10 0 6 0 | 5 0 3 0 0 2 0 | * 12 * * x x . o3x5o ♦ 120 | 60 60 240 | 30 120 0 120 80 48 | 0 60 40 24 0 40 24 4 | 0 20 12 2 0 0 2 | * * 3 * . x3o o3x5o ♦ 90 | 0 90 180 | 0 0 30 180 60 36 | 0 0 0 0 60 60 36 3 | 0 0 0 0 20 12 3 | * * * 2
© 2004-2024 | top of page |