Acronym | idodip |
Name | icosidodecahedron-icosidodecahedron duoprism |
Circumradius | sqrt[3+sqrt(5)] = 2.288246 |
Face vector | 900, 3600, 5520, 3900, 1144, 64 |
Confer |
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Incidence matrix according to Dynkin symbol
o3x5o o3x5o . . . . . . | 900 | 4 4 | 2 2 16 2 2 | 1 8 8 8 8 1 | 4 4 4 4 4 4 | 2 2 2 2 ------------+-----+-----------+----------------------+-------------------------+-----------------------+------------ . x . . . . | 2 | 1800 * | 1 1 4 0 0 | 1 4 4 2 2 0 | 4 2 2 2 2 1 | 2 2 1 1 . . . . x . | 2 | * 1800 | 0 0 4 1 1 | 0 2 2 4 4 1 | 1 2 2 2 2 4 | 1 1 2 2 ------------+-----+-----------+----------------------+-------------------------+-----------------------+------------ o3x . . . . | 3 | 3 0 | 600 * * * * | 1 4 0 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0 . x5o . . . | 5 | 5 0 | * 360 * * * | 1 0 4 0 0 0 | 4 0 0 2 2 0 | 2 2 0 1 . x . . x . | 4 | 2 2 | * * 3600 * * | 0 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 3 | * * * 600 * | 0 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . . x5o | 5 | 0 5 | * * * * 360 | 0 0 0 0 4 1 | 0 0 2 0 2 4 | 0 1 2 2 ------------+-----+-----------+----------------------+-------------------------+-----------------------+------------ o3x5o . . . ♦ 30 | 60 0 | 20 12 0 0 0 | 30 * * * * * | 4 0 0 0 0 0 | 2 2 0 0 o3x . . x . ♦ 6 | 6 3 | 2 0 3 0 0 | * 1200 * * * * | 1 1 1 0 0 0 | 1 1 1 0 . x5o . x . ♦ 10 | 10 5 | 0 2 5 0 0 | * * 720 * * * | 1 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 3 6 | 0 0 3 2 0 | * * * 1200 * * | 0 1 0 1 0 1 | 1 0 1 1 . x . . x5o ♦ 10 | 5 10 | 0 0 5 0 2 | * * * * 720 * | 0 0 1 0 1 1 | 0 1 1 1 . . . o3x5o ♦ 30 | 0 60 | 0 0 0 20 12 | * * * * * 30 | 0 0 0 0 0 4 | 0 0 2 2 ------------+-----+-----------+----------------------+-------------------------+-----------------------+------------ o3x5o . x . ♦ 60 | 120 30 | 40 24 60 0 0 | 2 20 12 0 0 0 | 60 * * * * * | 1 1 0 0 o3x . o3x . ♦ 9 | 9 9 | 3 0 9 3 0 | 0 3 0 3 0 0 | * 400 * * * * | 1 0 1 0 o3x . . x5o ♦ 15 | 15 15 | 5 0 15 0 3 | 0 5 0 0 3 0 | * * 240 * * * | 0 1 1 0 . x5o o3x . ♦ 15 | 15 15 | 0 3 15 5 0 | 0 0 3 5 0 0 | * * * 240 * * | 1 0 0 1 . x5o . x5o ♦ 25 | 25 25 | 0 5 25 0 5 | 0 0 5 0 5 0 | * * * * 144 * | 0 1 0 1 . x . o3x5o ♦ 60 | 30 120 | 0 0 60 40 24 | 0 0 0 20 12 2 | * * * * * 60 | 0 0 1 1 ------------+-----+-----------+----------------------+-------------------------+-----------------------+------------ o3x5o o3x . ♦ 90 | 180 90 | 60 36 180 30 0 | 3 60 36 60 0 0 | 3 20 0 12 0 0 | 20 * * * o3x5o . x5o ♦ 150 | 300 150 | 100 60 300 0 30 | 5 100 60 0 60 0 | 5 0 20 0 12 0 | * 12 * * o3x . o3x5o ♦ 90 | 90 180 | 30 0 180 60 36 | 0 60 0 60 36 3 | 0 20 12 0 0 3 | * * 20 * . x5o o3x5o ♦ 150 | 150 300 | 0 30 300 100 60 | 0 0 60 100 60 5 | 0 0 0 20 12 5 | * * * 12
or . . . . . . | 900 | 8 | 4 4 16 | 2 16 16 | 8 4 8 4 | 4 4 ---------------+-----+------+---------------+--------------+-----------------+------ . x . . . . & | 2 | 3600 | 1 1 4 | 1 6 6 | 5 2 4 2 | 3 3 ---------------+-----+------+---------------+--------------+-----------------+------ o3x . . . . & | 3 | 3 | 1200 * * | 1 4 0 | 4 2 2 0 | 3 2 . x5o . . . & | 5 | 5 | * 720 * | 1 0 4 | 4 0 2 2 | 2 3 . x . . x . | 4 | 4 | * * 3600 | 0 2 2 | 2 1 2 1 | 2 2 ---------------+-----+------+---------------+--------------+-----------------+------ o3x5o . . . & ♦ 30 | 60 | 20 12 0 | 60 * * | 4 0 0 0 | 2 2 o3x . . x . & ♦ 6 | 9 | 2 0 3 | * 2400 * | 1 1 1 0 | 2 1 . x5o . x . & ♦ 10 | 15 | 0 2 5 | * * 1440 | 1 0 1 1 | 1 2 ---------------+-----+------+---------------+--------------+-----------------+------ o3x5o . x . & ♦ 60 | 150 | 40 24 60 | 2 20 12 | 120 * * * | 1 1 o3x . o3x . ♦ 9 | 18 | 6 0 9 | 0 6 0 | * 400 * * | 2 0 o3x . . x5o & ♦ 15 | 30 | 5 3 15 | 0 5 3 | * * 480 * | 1 1 . x5o . x5o ♦ 25 | 50 | 0 10 25 | 0 0 10 | * * * 144 | 0 2 ---------------+-----+------+---------------+--------------+-----------------+------ o3x5o o3x . & ♦ 90 | 270 | 90 36 180 | 3 120 36 | 3 20 12 0 | 40 * o3x5o . x5o & ♦ 150 | 450 | 100 90 300 | 5 100 120 | 5 0 20 12 | * 24
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