Acronym | ikedoe |
Name | icosahedron-dodecahedron duoprism |
Circumradius | sqrt[7+2 sqrt(5)]/2 = 1.693527 |
Face vector | 240, 960, 1444, 992, 300, 32 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o5o o3o5x . . . . . . | 240 | 5 3 | 5 15 3 | 1 15 15 1 | 3 15 5 | 3 5 ------------+-----+---------+-------------+---------------+-----------+------ x . . . . . | 2 | 600 * | 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . . . x | 2 | * 360 | 0 5 2 | 0 5 10 1 | 1 10 5 | 2 5 ------------+-----+---------+-------------+---------------+-----------+------ x3o . . . . | 3 | 3 0 | 400 * * | 1 3 0 0 | 3 3 0 | 3 1 x . . . . x | 4 | 2 2 | * 900 * | 0 2 2 0 | 1 4 1 | 2 2 . . . . o5x | 5 | 0 5 | * * 144 | 0 0 5 1 | 0 5 5 | 1 5 ------------+-----+---------+-------------+---------------+-----------+------ x3o5o . . . ♦ 12 | 30 0 | 20 0 0 | 20 * * * | 3 0 0 | 3 0 x3o . . . x ♦ 6 | 6 3 | 2 3 0 | * 600 * * | 1 2 0 | 2 1 x . . . o5x ♦ 10 | 5 10 | 0 5 2 | * * 360 * | 0 2 1 | 1 2 . . . o3o5x ♦ 20 | 0 30 | 0 0 12 | * * * 12 | 0 0 5 | 0 5 ------------+-----+---------+-------------+---------------+-----------+------ x3o5o . . x ♦ 24 | 60 12 | 40 30 0 | 2 20 0 0 | 30 * * | 2 0 x3o . . o5x ♦ 15 | 15 15 | 5 15 3 | 0 5 3 0 | * 240 * | 1 1 x . . o3o5x ♦ 40 | 20 60 | 0 30 24 | 0 0 12 2 | * * 30 | 0 2 ------------+-----+---------+-------------+---------------+-----------+------ x3o5o . o5x ♦ 60 | 150 60 | 100 150 12 | 5 100 30 0 | 5 20 0 | 12 * x3o . o3o5x ♦ 60 | 60 90 | 20 90 36 | 0 30 36 3 | 0 12 3 | * 20
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