Acronym | ikedip |
Name | icosahedron-icosahedron duoprism |
Circumradius | sqrt[5+sqrt(5)]/2 = 1.344997 |
Face vector | 144, 720, 1380, 1224, 460, 40 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o5o x3o5o . . . . . . | 144 | 5 5 | 5 25 5 | 1 25 25 1 | 5 25 5 | 5 5 ------------+-----+---------+-------------+---------------+-----------+------ x . . . . . | 2 | 360 * | 2 5 0 | 1 10 5 0 | 5 10 1 | 5 2 . . . x . . | 2 | * 360 | 0 5 2 | 0 5 10 1 | 1 10 5 | 2 5 ------------+-----+---------+-------------+---------------+-----------+------ x3o . . . . | 3 | 3 0 | 240 * * | 1 5 0 0 | 5 5 0 | 5 1 x . . x . . | 4 | 2 2 | * 900 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x5o . | 3 | 0 3 | * * 240 | 0 0 5 1 | 0 5 5 | 1 5 ------------+-----+---------+-------------+---------------+-----------+------ x3o5o . . . ♦ 12 | 30 0 | 20 0 0 | 12 * * * | 5 0 0 | 5 0 x3o . x . . ♦ 6 | 6 3 | 2 3 0 | * 600 * * | 1 2 0 | 2 1 x . . x3o . ♦ 6 | 3 6 | 0 3 2 | * * 600 * | 0 2 1 | 1 2 . . . x3o5o ♦ 12 | 0 30 | 0 0 20 | * * * 12 | 0 0 5 | 0 5 ------------+-----+---------+-------------+---------------+-----------+------ x3o5o x . . ♦ 24 | 60 12 | 40 30 0 | 2 20 0 0 | 30 * * | 2 0 x3o . x3o . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 400 * | 1 1 x . . x3o5o ♦ 24 | 12 60 | 0 30 40 | 0 0 20 2 | * * 30 | 0 2 ------------+-----+---------+-------------+---------------+-----------+------ x3o5o x3o . ♦ 36 | 90 36 | 60 90 12 | 3 60 30 0 | 3 20 0 | 20 * x3o . x3o5o ♦ 36 | 36 90 | 12 90 60 | 0 30 60 3 | 0 20 3 | * 20
or . . . . . . | 144 | 10 | 10 25 | 1 50 | 10 25 | 10 ---------------+-----+-----+---------+---------+--------+--- x . . . . . & | 2 | 720 | 2 5 | 1 15 | 6 10 | 7 ---------------+-----+-----+---------+---------+--------+--- x3o . . . . & | 3 | 3 | 480 * | 1 5 | 5 5 | 6 x . . x . . | 4 | 4 | * 900 | 0 4 | 2 4 | 4 ---------------+-----+-----+---------+---------+--------+--- x3o5o . . . & ♦ 12 | 30 | 20 0 | 24 * | 5 0 | 5 x3o . x . . & ♦ 6 | 9 | 2 3 | * 1200 | 1 2 | 3 ---------------+-----+-----+---------+---------+--------+--- x3o5o x . . & ♦ 24 | 72 | 40 30 | 2 20 | 60 * | 2 x3o . x3o . ♦ 9 | 18 | 6 9 | 0 6 | * 400 | 2 ---------------+-----+-----+---------+---------+--------+--- x3o5o x3o . & ♦ 36 | 126 | 72 90 | 3 90 | 3 20 | 40
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