Acronym | pecube |
Name | pentagon-cube duoprism |
Circumradius | sqrt[(25+2 sqrt(5))/20] = 1.213922 |
Volume | sqrt[25+10 sqrt(5)]/4 = 1.720477 |
Face vector | 40, 100, 98, 47, 11 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x5o o3o4x . . . . . | 40 | 2 3 | 1 6 3 | 3 6 1 | 3 2 ----------+----+-------+---------+---------+---- x . . . . | 2 | 40 * | 1 3 0 | 3 3 0 | 3 1 . . . . x | 2 | * 60 | 0 2 2 | 1 4 1 | 2 2 ----------+----+-------+---------+---------+---- x5o . . . | 5 | 5 0 | 8 * * | 3 0 0 | 3 0 x . . . x | 4 | 2 2 | * 60 * | 1 2 0 | 2 1 . . . o4x | 4 | 0 4 | * * 30 | 0 2 1 | 1 2 ----------+----+-------+---------+---------+---- x5o . . x ♦ 10 | 10 5 | 2 5 0 | 12 * * | 2 0 x . . o4x ♦ 8 | 4 8 | 0 4 2 | * 30 * | 1 1 . . o3o4x ♦ 8 | 0 12 | 0 0 6 | * * 5 | 0 2 ----------+----+-------+---------+---------+---- x5o . o4x ♦ 20 | 20 20 | 4 20 5 | 4 5 0 | 6 * x . o3o4x ♦ 16 | 8 24 | 0 12 12 | 0 6 2 | * 5
x x4o x5o . . . . . | 40 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+----+----------+---------------+-------------+------ x . . . . | 2 | 20 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 40 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 40 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+----+----------+---------------+-------------+------ x x . . . | 4 | 2 2 0 | 20 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 20 * * * | 0 2 1 0 0 | 1 2 0 . x4o . . | 4 | 0 4 0 | * * 10 * * | 1 0 0 2 0 | 2 0 1 . x . x . | 4 | 0 2 2 | * * * 40 * | 0 1 0 1 1 | 1 1 1 . . . x5o | 5 | 0 0 5 | * * * * 8 | 0 0 1 0 2 | 0 2 1 ----------+----+----------+---------------+-------------+------ x x4o . . ♦ 8 | 4 8 0 | 4 0 2 0 0 | 5 * * * * | 2 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 20 * * * | 1 1 0 x . . x5o ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 4 * * | 0 2 0 . x4o x . ♦ 8 | 0 8 4 | 0 0 2 4 0 | * * * 10 * | 1 0 1 . x . x5o ♦ 10 | 0 5 10 | 0 0 0 5 2 | * * * * 8 | 0 1 1 ----------+----+----------+---------------+-------------+------ x x4o x . ♦ 16 | 8 16 8 | 8 4 4 8 0 | 2 4 0 2 0 | 5 * * x x . x5o ♦ 20 | 10 10 20 | 5 10 0 10 4 | 0 5 2 0 2 | * 4 * . x4o x5o ♦ 20 | 0 20 20 | 0 0 5 20 4 | 0 0 0 5 4 | * * 2
x x x x5o . . . . . | 40 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+----+-------------+---------------------+------------------+-------- x . . . . | 2 | 20 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 20 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 20 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 40 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+----+-------------+---------------------+------------------+-------- x x . . . | 4 | 2 2 0 0 | 10 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 10 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 20 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 10 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 20 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x x . | 4 | 0 0 2 2 | * * * * * 20 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x5o | 5 | 0 0 0 5 | * * * * * * 8 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+----+-------------+---------------------+------------------+-------- x x x . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 | 5 * * * * * * | 2 0 0 0 x x . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 10 * * * * * | 1 1 0 0 x . x x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 2 0 | * * 10 * * * * | 1 0 1 0 x . . x5o ♦ 10 | 5 0 0 10 | 0 0 5 0 0 0 2 | * * * 4 * * * | 0 1 1 0 . x x x . ♦ 8 | 0 4 4 4 | 0 0 0 2 2 2 0 | * * * * 10 * * | 1 0 0 1 . x . x5o ♦ 10 | 0 5 0 10 | 0 0 0 0 5 0 2 | * * * * * 4 * | 0 1 0 1 . . x x5o ♦ 10 | 0 0 5 10 | 0 0 0 0 0 5 2 | * * * * * * 4 | 0 0 1 1 ----------+----+-------------+---------------------+------------------+-------- x x x x . ♦ 16 | 8 8 8 8 | 4 4 4 4 4 4 0 | 2 2 2 0 2 0 0 | 5 * * * x x . x5o ♦ 20 | 10 10 0 20 | 5 0 10 0 10 0 4 | 0 5 0 2 0 2 0 | * 2 * * x . x x5o ♦ 20 | 10 0 10 20 | 0 5 10 0 0 10 4 | 0 0 5 2 0 0 2 | * * 2 * . x x x5o ♦ 20 | 0 10 10 20 | 0 0 0 5 10 10 4 | 0 0 0 0 5 2 2 | * * * 2
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