Acronym | octpen |
Name |
octahedron - pentachoron duoprism, vertex figure of tro |
Circumradius | sqrt(9/10) = 0.948683 |
Volume | sqrt(10)/288 = 0.010980 |
Face vector | 30, 120, 220, 235, 156, 62, 13 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o4o x3o3o3o . . . . . . . | 30 | 4 4 | 4 16 6 | 1 16 24 4 | 4 24 16 1 | 6 16 4 | 4 4 --------------+----+-------+-----------+-------------+------------+----------+---- x . . . . . . | 2 | 60 * | 2 4 0 | 1 8 6 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . x . . . | 2 | * 60 | 0 4 3 | 0 4 12 3 | 1 12 12 1 | 3 12 4 | 3 4 --------------+----+-------+-----------+-------------+------------+----------+---- x3o . . . . . | 3 | 3 0 | 40 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 | 4 1 x . . x . . . | 4 | 2 2 | * 120 * | 0 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . x3o . . | 3 | 0 3 | * * 60 | 0 0 4 2 | 0 4 8 1 | 1 8 4 | 2 4 --------------+----+-------+-----------+-------------+------------+----------+---- x3o4o . . . . ♦ 6 | 12 0 | 8 0 0 | 5 * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 x3o . x . . . ♦ 6 | 6 3 | 2 3 0 | * 80 * * | 1 3 0 0 | 3 3 0 | 3 1 x . . x3o . . ♦ 6 | 3 6 | 0 3 2 | * * 120 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * * 30 | 0 0 4 1 | 0 4 4 | 1 4 --------------+----+-------+-----------+-------------+------------+----------+---- x3o4o x . . . ♦ 12 | 24 6 | 16 12 0 | 2 8 0 0 | 10 * * * | 3 0 0 | 3 0 x3o . x3o . . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 80 * * | 1 2 0 | 2 1 x . . x3o3o . ♦ 8 | 4 12 | 0 6 8 | 0 0 4 2 | * * 60 * | 0 2 1 | 1 2 . . . x3o3o3o ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * 6 | 0 0 4 | 0 4 --------------+----+-------+-----------+-------------+------------+----------+---- x3o4o x3o . . ♦ 18 | 36 18 | 24 36 6 | 3 24 12 0 | 3 8 0 0 | 10 * * | 2 0 x3o . x3o3o . ♦ 12 | 12 18 | 4 18 12 | 0 6 12 3 | 0 4 3 0 | * 40 * | 1 1 x . . x3o3o3o ♦ 10 | 5 20 | 0 10 20 | 0 0 10 10 | 0 0 5 2 | * * 12 | 0 2 --------------+----+-------+-----------+-------------+------------+----------+---- x3o4o x3o3o . ♦ 24 | 48 36 | 32 72 24 | 4 48 48 6 | 6 32 12 0 | 4 8 0 | 5 * x3o . x3o3o3o ♦ 15 | 15 30 | 5 30 30 | 0 10 30 15 | 0 10 15 3 | 0 5 3 | * 8
o3x3o x3o3o3o . . . . . . . | 30 | 4 4 | 2 2 16 6 | 1 8 8 24 4 | 4 12 12 16 1 | 6 8 8 4 | 4 2 2 --------------+----+-------+--------------+----------------+---------------+-------------+------ . x . . . . . | 2 | 60 * | 1 1 4 0 | 1 4 4 6 0 | 4 6 6 4 0 | 6 4 4 1 | 4 1 1 . . . x . . . | 2 | * 60 | 0 0 4 3 | 0 2 2 12 3 | 1 6 6 12 1 | 3 6 6 4 | 3 2 2 --------------+----+-------+--------------+----------------+---------------+-------------+------ o3x . . . . . | 3 | 3 0 | 20 * * * | 1 4 0 0 0 | 4 6 0 0 0 | 6 4 0 0 | 4 1 0 . x3o . . . . | 3 | 3 0 | * 20 * * | 1 0 4 0 0 | 4 0 6 0 0 | 6 0 4 0 | 4 0 1 . x . x . . . | 4 | 2 2 | * * 120 * | 0 1 1 3 0 | 1 3 3 3 0 | 3 3 3 1 | 3 1 1 . . . x3o . . | 3 | 0 3 | * * * 60 | 0 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 --------------+----+-------+--------------+----------------+---------------+-------------+------ o3x3o . . . . ♦ 6 | 12 0 | 4 4 0 0 | 5 * * * * ♦ 4 0 0 0 0 | 6 0 0 0 | 4 0 0 o3x . x . . . ♦ 6 | 6 3 | 2 0 3 0 | * 40 * * * | 1 3 0 0 0 | 3 3 0 0 | 3 1 0 . x3o x . . . ♦ 6 | 6 3 | 0 2 3 0 | * * 40 * * | 1 0 3 0 0 | 3 0 3 0 | 3 0 1 . x . x3o . . ♦ 6 | 3 6 | 0 0 3 2 | * * * 120 * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o3o . ♦ 4 | 0 6 | 0 0 0 4 | * * * * 30 | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 --------------+----+-------+--------------+----------------+---------------+-------------+------ o3x3o x . . . ♦ 12 | 24 6 | 8 8 12 0 | 2 4 4 0 0 | 10 * * * * | 3 0 0 0 | 3 0 0 o3x . x3o . . ♦ 9 | 9 9 | 3 0 9 3 | 0 3 0 3 0 | * 40 * * * | 1 2 0 0 | 2 1 0 . x3o x3o . . ♦ 9 | 9 9 | 0 3 9 3 | 0 0 3 3 0 | * * 40 * * | 1 0 2 0 | 2 0 1 . x . x3o3o . ♦ 8 | 4 12 | 0 0 6 8 | 0 0 0 4 2 | * * * 60 * | 0 1 1 1 | 1 1 1 . . . x3o3o3o ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * 6 | 0 0 0 4 | 0 2 2 --------------+----+-------+--------------+----------------+---------------+-------------+------ o3x3o x3o . . ♦ 18 | 36 18 | 12 12 36 6 | 3 12 12 12 0 | 3 4 4 0 0 | 10 * * * | 2 0 0 o3x . x3o3o . ♦ 12 | 12 18 | 4 0 18 12 | 0 6 0 12 3 | 0 4 0 3 0 | * 20 * * | 1 1 0 . x3o x3o3o . ♦ 12 | 12 18 | 0 4 18 12 | 0 0 6 12 3 | 0 0 4 3 0 | * * 20 * | 1 0 1 . x . x3o3o3o ♦ 10 | 5 20 | 0 0 10 20 | 0 0 0 10 10 | 0 0 0 5 2 | * * * 12 | 0 1 1 --------------+----+-------+--------------+----------------+---------------+-------------+------ o3x3o x3o3o . ♦ 24 | 48 36 | 16 16 72 24 | 4 24 24 48 6 | 6 16 16 12 0 | 4 4 4 0 | 5 * * o3x . x3o3o3o ♦ 15 | 15 30 | 5 0 30 30 | 0 10 0 30 15 | 0 10 0 15 3 | 0 5 0 3 | * 4 * . x3o x3o3o3o ♦ 15 | 15 30 | 0 5 30 30 | 0 0 10 30 15 | 0 0 10 15 3 | 0 0 5 3 | * * 4
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