Acronym | penhix |
Name |
pentachoron - hexateron duoprism, vertex figure of teru |
Circumradius | 7/sqrt(60) = 0.903696 |
Face vector | 30, 135, 310, 455, 461, 330, 165, 55, 11 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o3o3o x3o3o3o3o . . . . . . . . . | 30 | 4 5 | 6 20 10 | 4 30 40 10 | 1 20 60 40 5 | 5 40 60 20 1 | 10 40 30 4 | 10 20 6 | 5 4 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x . . . . . . . . | 2 | 60 * | 3 5 0 | 3 15 10 0 | 1 15 30 10 0 | 5 30 30 5 0 | 10 30 15 1 | 10 15 3 | 5 3 . . . . x . . . . | 2 | * 75 | 0 4 4 | 0 6 16 6 | 0 4 24 24 4 | 1 16 36 16 1 | 4 24 24 4 | 6 16 6 | 4 4 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x3o . . . . . . . | 3 | 3 0 | 60 * * | 2 5 0 0 | 1 10 10 0 0 | 5 20 10 0 0 | 10 20 5 0 | 10 10 1 | 5 2 x . . . x . . . . | 4 | 2 2 | * 150 * | 0 3 4 0 | 0 3 12 6 0 | 1 12 18 4 0 | 4 18 12 1 | 6 12 3 | 4 3 . . . . x3o . . . | 3 | 0 3 | * * 100 | 0 0 4 3 | 0 0 6 12 3 | 0 4 18 12 1 | 1 12 18 4 | 3 12 6 | 3 4 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x3o3o . . . . . . ♦ 4 | 6 0 | 4 0 0 | 30 * * * | 1 5 0 0 0 | 5 10 0 0 0 | 10 10 0 0 | 10 5 0 | 5 1 x3o . . x . . . . ♦ 6 | 6 3 | 2 3 0 | * 150 * * | 0 2 4 0 0 | 1 8 6 0 0 | 4 12 4 0 | 6 8 1 | 4 2 x . . . x3o . . . ♦ 6 | 3 6 | 0 3 2 | * * 200 * | 0 0 3 3 0 | 0 3 9 3 0 | 1 9 9 1 | 3 9 3 | 3 3 . . . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 75 | 0 0 0 4 2 | 0 0 6 8 1 | 0 4 12 4 | 1 8 6 | 2 4 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x3o3o3o . . . . . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 6 * * * * ♦ 5 0 0 0 0 | 10 0 0 0 | 10 0 0 | 5 0 x3o3o . x . . . . ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 75 * * * | 1 4 0 0 0 | 4 6 0 0 | 6 4 0 | 4 1 x3o . . x3o . . . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * * 200 * * | 0 2 3 0 0 | 1 6 3 0 | 3 6 1 | 3 2 x . . . x3o3o . . ♦ 8 | 4 12 | 0 6 8 | 0 0 4 2 | * * * 150 * | 0 0 3 2 0 | 0 3 6 1 | 1 6 3 | 2 3 . . . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * * 30 | 0 0 0 4 1 | 0 0 6 4 | 0 4 6 | 1 4 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x3o3o3o x . . . . ♦ 10 | 20 5 | 20 10 0 | 10 10 0 0 | 2 5 0 0 0 | 15 * * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 x3o3o . x3o . . . ♦ 12 | 18 12 | 12 18 4 | 3 12 6 0 | 0 3 4 0 0 | * 100 * * * | 1 3 0 0 | 3 3 0 | 3 1 x3o . . x3o3o . . ♦ 12 | 12 18 | 4 18 12 | 0 6 12 3 | 0 0 4 3 0 | * * 150 * * | 0 2 2 0 | 1 4 1 | 2 2 x . . . x3o3o3o . ♦ 10 | 5 20 | 0 10 20 | 0 0 10 10 | 0 0 0 5 2 | * * * 60 * | 0 0 3 1 | 0 3 3 | 1 3 . . . . x3o3o3o3o ♦ 6 | 0 15 | 0 0 20 | 0 0 0 15 | 0 0 0 0 6 | * * * * 5 ♦ 0 0 0 4 | 0 0 6 | 0 4 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x3o3o3o x3o . . . ♦ 15 | 30 15 | 30 30 5 | 15 30 10 0 | 3 15 10 0 0 | 3 5 0 0 0 | 20 * * * | 3 0 0 | 3 0 x3o3o . x3o3o . . ♦ 16 | 24 24 | 16 36 16 | 4 24 24 4 | 0 6 16 6 0 | 0 4 4 0 0 | * 75 * * | 1 2 0 | 2 1 x3o . . x3o3o3o . ♦ 15 | 15 30 | 5 30 30 | 0 10 30 15 | 0 0 10 15 3 | 0 0 5 3 0 | * * 60 * | 0 2 1 | 1 2 x . . . x3o3o3o3o ♦ 12 | 6 30 | 0 15 40 | 0 0 20 30 | 0 0 0 15 12 | 0 0 0 6 2 | * * * 10 | 0 0 3 | 0 3 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x3o3o3o x3o3o . . ♦ 20 | 40 30 | 40 60 20 | 20 60 40 5 | 4 30 40 10 0 | 6 20 10 0 0 | 4 5 0 0 | 15 * * | 2 0 x3o3o . x3o3o3o . ♦ 20 | 30 40 | 20 60 40 | 5 40 60 20 | 0 10 40 30 4 | 0 10 20 6 0 | 0 5 4 0 | * 30 * | 1 1 x3o . . x3o3o3o3o ♦ 18 | 18 45 | 6 45 60 | 0 15 60 45 | 0 0 20 45 18 | 0 0 15 18 3 | 0 0 6 3 | * * 10 | 0 2 ------------------+----+-------+------------+---------------+-----------------+-----------------+-------------+----------+---- x3o3o3o x3o3o3o . ♦ 25 | 50 50 | 50 100 50 | 25 100 100 25 | 5 50 100 50 5 | 10 50 50 10 0 | 10 25 10 0 | 5 5 0 | 6 * x3o3o . x3o3o3o3o ♦ 24 | 36 60 | 24 90 80 | 6 60 120 60 | 0 15 80 90 24 | 0 20 60 36 4 | 0 15 24 6 | 0 6 4 | * 5
ox3oo3oo xx3oo3oo3oo3oo&#x height = sqrt(5/8) = 0.790569
(hix || tethix)
...
xx3oo3oo3oo ox3oo3oo3oo&#x height = sqrt(3/5) = 0.774597
(pen || pendip)
...
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