Acronym | penrap |
Name |
(pentachoron, rectified pentachoron)-duoprism, vertex figure of tergoh |
Circumradius | 1 |
Volume | 55/9216 = 0.0059679 |
Face vector | 50, 250, 550, 700, 565, 290, 90, 15 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o3o3o o3x3o3o . . . . . . . . | 50 | 4 6 | 6 24 3 6 | 4 36 12 24 3 2 | 1 24 18 36 12 8 1 | 6 12 24 18 12 4 | 3 6 12 8 6 | 3 2 4 ----------------+----+---------+----------------+----------------------+------------------------+--------------------+----------------+------ x . . . . . . . | 2 | 100 * | 3 6 0 0 | 3 18 3 6 0 0 | 1 18 9 18 3 2 0 | 6 9 18 9 6 1 | 3 6 9 6 3 | 3 2 3 . . . . . x . . | 2 | * 150 | 0 4 1 2 | 0 6 4 8 2 1 | 0 4 6 12 8 4 1 | 1 4 8 12 6 4 | 1 2 8 4 6 | 2 1 4 ----------------+----+---------+----------------+----------------------+------------------------+--------------------+----------------+------ x3o . . . . . . | 3 | 3 0 | 100 * * * | 2 6 0 0 0 0 | 1 12 3 6 0 0 0 | 6 6 12 3 2 0 | 3 6 6 4 1 | 3 2 2 x . . . . x . . | 4 | 2 2 | * 300 * * | 0 3 1 2 0 0 | 0 3 3 6 2 1 0 | 1 6 12 12 6 1 | 1 2 6 3 3 | 2 1 3 . . . . o3x . . | 3 | 0 3 | * * 50 * | 0 0 4 0 2 0 | 0 0 6 0 8 0 1 | 0 4 0 12 0 4 | 1 0 2 0 6 | 2 0 4 . . . . . x3o . | 3 | 0 3 | * * * 100 | 0 0 0 4 1 1 | 0 0 0 6 4 4 1 | 0 0 4 6 6 4 | 0 1 4 4 6 | 1 1 4 ----------------+----+---------+----------------+----------------------+------------------------+--------------------+----------------+------ x3o3o . . . . . ♦ 4 | 6 0 | 4 0 0 0 | 50 * * * * * | 1 6 0 0 0 0 0 | 6 3 6 0 0 0 | 3 6 3 2 0 | 3 2 1 x3o . . . x . . ♦ 6 | 6 3 | 2 3 0 0 | * 300 * * * * | 0 2 1 2 0 0 0 | 1 2 4 2 1 0 | 1 2 6 2 1 | 2 1 2 x . . . o3x . . ♦ 6 | 3 6 | 0 3 2 0 | * * 100 * * * | 0 0 3 0 2 0 0 | 0 3 0 6 0 1 | 1 0 6 0 3 | 2 0 3 x . . . . x3o . ♦ 6 | 3 6 | 0 3 0 2 | * * * 200 * * | 0 0 0 3 1 1 0 | 0 0 3 3 3 1 | 0 1 3 3 3 | 1 1 3 . . . . o3x3o . ♦ 6 | 0 12 | 0 0 4 4 | * * * * 25 * | 0 0 0 0 4 0 1 | 0 0 0 6 0 4 | 0 0 4 0 6 | 1 0 4 . . . . . x3o3o ♦ 4 | 0 6 | 0 0 0 4 | * * * * * 25 | 0 0 0 0 0 4 1 | 0 0 0 0 6 4 | 0 0 0 4 6 | 0 1 4 ----------------+----+---------+----------------+----------------------+------------------------+--------------------+----------------+------ x3o3o3o . . . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 0 0 | 10 * * * * * * | 6 0 0 0 0 0 | 3 6 0 0 0 | 3 2 0 x3o3o . . x . . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 0 | * 150 * * * * * | 1 1 2 0 0 0 | 1 2 2 1 0 | 2 1 1 x3o . . o3x . . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 0 | * * 100 * * * * | 0 2 0 2 0 0 | 1 0 4 0 1 | 2 0 2 x3o . . . x3o . ♦ 9 | 9 9 | 3 9 0 3 | 0 3 0 3 0 0 | * * * 200 * * * | 0 0 2 1 1 0 | 0 1 2 2 1 | 1 1 2 x . . . o3x3o . ♦ 12 | 6 24 | 0 12 8 8 | 0 0 4 4 2 0 | * * * * 50 * * | 0 0 0 3 0 1 | 0 0 3 0 3 | 1 0 3 x . . . . x3o3o ♦ 8 | 4 12 | 0 6 0 8 | 0 0 0 4 0 2 | * * * * * 50 * | 0 0 0 0 3 1 | 0 0 0 3 3 | 0 1 3 . . . . o3x3o3o ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 0 5 5 | * * * * * * 5 ♦ 0 0 0 0 0 4 | 0 0 0 0 6 | 0 0 4 ----------------+----+---------+----------------+----------------------+------------------------+--------------------+----------------+------ x3o3o3o . x . . ♦ 10 | 20 5 | 20 10 0 0 | 10 10 0 0 0 0 | 2 5 0 0 0 0 0 | 30 * * * * * | 1 2 0 0 0 | 2 1 0 x3o3o . o3x . . ♦ 12 | 18 12 | 12 18 4 0 | 3 12 6 0 0 0 | 0 3 4 0 0 0 0 | * 50 * * * * | 1 0 2 0 0 | 2 0 1 x3o3o . . x3o . ♦ 12 | 18 12 | 12 18 0 4 | 3 12 0 6 0 0 | 0 3 0 4 0 0 0 | * * 100 * * * | 0 1 1 1 0 | 1 1 1 x3o . . o3x3o . ♦ 18 | 18 36 | 6 36 12 12 | 0 12 12 12 3 0 | 0 0 4 4 3 0 0 | * * * 50 * * | 0 0 2 0 1 | 1 0 2 x3o . . . x3o3o ♦ 12 | 12 18 | 4 18 0 12 | 0 6 0 12 0 3 | 0 0 0 4 0 3 0 | * * * * 50 * | 0 0 0 2 1 | 0 1 2 x . . . o3x3o3o ♦ 20 | 10 60 | 0 30 20 40 | 0 0 10 20 10 10 | 0 0 0 0 5 5 2 | * * * * * 10 | 0 0 0 0 3 | 0 0 3 ----------------+----+---------+----------------+----------------------+------------------------+--------------------+----------------+------ x3o3o3o o3x . . ♦ 15 | 30 15 | 30 30 5 0 | 15 30 10 0 0 0 | 3 15 10 0 0 0 0 | 3 5 0 0 0 0 | 10 * * * * | 2 0 0 x3o3o3o . x3o . ♦ 15 | 30 15 | 30 30 0 5 | 15 30 0 10 0 0 | 3 15 0 10 0 0 0 | 3 0 5 0 0 0 | * 20 * * * | 1 1 0 x3o3o . o3x3o . ♦ 24 | 36 48 | 24 72 16 16 | 6 72 24 24 4 0 | 0 12 16 16 6 0 0 | 0 4 4 4 0 0 | * * 25 * * | 1 0 1 x3o3o . . x3o3o ♦ 16 | 24 24 | 16 36 0 16 | 4 24 0 24 0 4 | 0 6 0 16 0 6 0 | 0 0 4 0 4 0 | * * * 25 * | 0 1 1 x3o . . o3x3o3o ♦ 30 | 30 90 | 10 90 30 60 | 0 30 30 60 15 15 | 0 0 10 20 15 15 3 | 0 0 0 5 5 3 | * * * * 10 | 0 0 2 ----------------+----+---------+----------------+----------------------+------------------------+--------------------+----------------+------ x3o3o3o o3x3o . ♦ 30 | 60 60 | 60 120 20 20 | 30 120 40 40 5 0 | 6 60 40 40 10 0 0 | 12 20 20 10 0 0 | 4 4 5 0 0 | 5 * * x3o3o3o . x3o3o ♦ 20 | 40 30 | 40 60 0 20 | 20 60 0 40 0 5 | 4 30 0 40 0 10 0 | 6 0 20 0 10 0 | 0 4 0 5 0 | * 5 * x3o3o . o3x3o3o ♦ 40 | 60 120 | 40 180 40 80 | 10 120 60 120 20 20 | 0 30 40 80 30 30 4 | 0 10 20 20 20 6 | 0 0 5 5 4 | * * 5
ox3oo3oo oo3xx3oo3oo&#x → height = sqrt(5/8) = 0.790569 ...
xo ox3oo oo3xx3oo3oo&#x → height = sqrt(5/12) = 0.645497 ...
xo3ox3oo xx3oo3oo3oo&#x → height = sqrt(5/8) = 0.790569 ...
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