Acronym trioc
Name triangle - octaexon duoprism,
vertex figure of bru
Circumradius sqrt(37/48) = 0.877971
Volume sqrt(3)/80640 = 0.000021479
Confer
general polytopal classes:
segmentoyotta  

Incidence matrix according to Dynkin symbol

x3o x3o3o3o3o3o3o

o3o o3o3o3o3o3o3o | 24 |  2  7 | 1  14 21 |  7  42  35 | 21  70  35 | 35  70 21 | 35 42  7 | 21 14 1 | 7 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x . . . . . . . . |  2 | 24  * | 1   7  0 |  7  21   0 | 21  35   0 | 35  35  0 | 35 21  0 | 21  7 0 | 7 1
. . x . . . . . . |  2 |  * 84 | 0   2  6 |  1  12  15 |  6  30  20 | 15  40 15 | 20 30  6 | 15 12 1 | 6 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x3o . . . . . . . |  3 |  3  0 | 8  *   *   7   0   0 | 21   0   0 | 35   0  0 | 35  0  0 | 21  0 0 | 7 0
x . x . . . . . . |  4 |  2  2 | * 84   * |  1   6   0 |  6  15   0 | 15  20  0 | 20 15  0 | 15  6 0 | 6 1
. . x3o . . . . . |  3 |  0  3 | *  * 168 |  0   2   5 |  1  10  10 |  5  20 10 | 10 20  5 | 10 10 1 | 5 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x3o x . . . . . .   6 |  6  3 | 2  3   0 | 28   *   *   6   0   0 | 15   0  0 | 20  0  0 | 15  0 0 | 6 0
x . x3o . . . . .   6 |  3  6 | 0  3   2 |  * 168   * |  1   5   0 |  5  10  0 | 10 10  0 | 10  5 0 | 5 1
. . x3o3o . . . .   4 |  0  6 | 0  0   4 |  *   * 210 |  0   2   4 |  1   8  6 |  4 12  4 |  6  8 1 | 4 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x3o x3o . . . . .   9 |  9  9 | 3  9   3 |  3   3   0 | 56   *   *   5   0  0 | 10  0  0 | 10  0 0 | 5 0
x . x3o3o . . . .   8 |  4 12 | 0  6   8 |  0   4   2 |  * 210   * |  1   4  0 |  4  6  0 |  6  4 0 | 4 1
. . x3o3o3o . . .   5 |  0 10 | 0  0  10 |  0   0   5 |  *   * 168 |  0   2  3 |  1  6  3 |  3  6 1 | 3 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x3o x3o3o . . . .  12 | 12 18 | 4 18  12 |  6  12   3 |  4   3   0 | 70   *  *   4  0  0 |  6  0 0 | 4 0
x . x3o3o3o . . .  10 |  5 20 | 0 10  20 |  0  10  10 |  0   5   2 |  * 168  * |  1  3  0 |  3  3 0 | 3 1
. . x3o3o3o3o . .   6 |  0 15 | 0  0  20 |  0   0  15 |  0   0   6 |  *   * 84 |  0  2  2 |  1  4 1 | 2 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x3o x3o3o3o . . .  15 | 15 30 | 5 30  30 | 10  30  15 | 10  15   3 |  5   3  0 | 56  *  * |  3  0 0 | 3 0
x . x3o3o3o3o . .  12 |  6 30 | 0 15  40 |  0  20  30 |  0  15  12 |  0   6  2 |  * 84  * |  1  2 0 | 2 1
. . x3o3o3o3o3o .   7 |  0 21 | 0  0  35 |  0   0  35 |  0   0  21 |  0   0  7 |  *  * 24 |  0  2 1 | 1 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x3o x3o3o3o3o . .  18 | 18 45 | 6 45  60 | 15  60  45 | 20  45  18 | 15  18  3 |  6  3  0 | 28  * * | 2 0
x . x3o3o3o3o3o .  14 |  7 42 | 0 21  70 |  0  35  70 |  0  35  42 |  0  21 14 |  0  7  2 |  * 24 * | 1 1
. . x3o3o3o3o3o3o   8 |  0 28 | 0  0  56 |  0   0  70 |  0   0  56 |  0   0 28 |  0  0  8 |  *  * 3 | 0 2
------------------+----+-------+----------+------------+------------+-----------+----------+---------+----
x3o x3o3o3o3o3o .  21 | 21 63 | 7 63 105 | 21 105 105 | 35 105  63 | 35  63 21 | 21 21  3 |  7  3 0 | 8 *
x . x3o3o3o3o3o3o  16 |  8 56 | 0 28 112 |  0  56 140 |  0  70 112 |  0  56 56 |  0 28 16 |  0  8 2 | * 3

ox xx3oo3oo3oo3oo3oo3oo&#x   → height = sqrt(3)/2 = 0.866025
(oca || ocpe)

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