Acronym tithtip Name triangle-triangle-hexagon triprism Circumradius sqrt(5/3) = 1.290994 Volume 9 sqrt(3)/32 = 0.487139 Confer general triprisms: n,m,k-tip   n,n,m-tip

Incidence matrix according to Dynkin symbol

```x3o x3o x6o

. . . . . . | 54 |  2  2  2 |  1  4  4  1  4 1 |  2  2  2  8 2  2 2 | 1  4 1  4 4 1 | 2 2 2
------------+----+----------+------------------+--------------------+---------------+------
x . . . . . |  2 | 54  *  * |  1  2  2  0  0 0 |  2  2  1  4 1  0 0 | 1  4 1  2 2 0 | 2 2 1
. . x . . . |  2 |  * 54  * |  0  2  0  1  2 0 |  1  0  2  4 0  2 1 | 1  2 0  4 2 1 | 2 1 2
. . . . x . |  2 |  *  * 54 |  0  0  2  0  2 1 |  0  1  0  4 2  1 2 | 0  2 1  2 4 1 | 1 2 2
------------+----+----------+------------------+--------------------+---------------+------
x3o . . . . |  3 |  3  0  0 | 18  *  *  *  * * |  2  2  0  0 0  0 0 | 1  4 1  0 0 0 | 2 2 0
x . x . . . |  4 |  2  2  0 |  * 54  *  *  * * |  1  0  1  2 0  0 0 | 1  2 0  2 1 0 | 2 1 1
x . . . x . |  4 |  2  0  2 |  *  * 54  *  * * |  0  1  0  2 1  0 0 | 0  2 1  1 2 0 | 1 2 1
. . x3o . . |  3 |  0  3  0 |  *  *  * 18  * * |  0  0  2  0 0  2 0 | 1  0 0  4 0 1 | 2 0 2
. . x . x . |  4 |  0  2  2 |  *  *  *  * 54 * |  0  0  0  2 0  1 1 | 0  1 0  2 2 1 | 1 1 2
. . . . x6o |  6 |  0  0  6 |  *  *  *  *  * 9 |  0  0  0  0 2  0 2 | 0  0 1  0 4 1 | 0 2 2
------------+----+----------+------------------+--------------------+---------------+------
x3o x . . . ♦  6 |  6  3  0 |  2  3  0  0  0 0 | 18  *  *  * *  * * | 1  2 0  0 0 0 | 2 1 0
x3o . . x . ♦  6 |  6  0  3 |  2  0  3  0  0 0 |  * 18  *  * *  * * | 0  2 1  0 0 0 | 1 2 0
x . x3o . . ♦  6 |  3  6  0 |  0  3  0  2  0 0 |  *  * 18  * *  * * | 1  0 0  2 0 0 | 2 0 1
x . x . x . ♦  8 |  4  4  4 |  0  2  2  0  2 0 |  *  *  * 54 *  * * | 0  1 0  1 1 0 | 1 1 1
x . . . x6o ♦ 12 |  6  0 12 |  0  0  6  0  0 2 |  *  *  *  * 9  * * | 0  0 1  0 2 0 | 0 2 1
. . x3o x . ♦  6 |  0  6  3 |  0  0  0  2  3 0 |  *  *  *  * * 18 * | 0  0 0  2 0 1 | 1 0 2
. . x . x6o ♦ 12 |  0  6 12 |  0  0  0  0  6 2 |  *  *  *  * *  * 9 | 0  0 0  0 2 1 | 0 1 2
------------+----+----------+------------------+--------------------+---------------+------
x3o x3o . . ♦  9 |  9  9  0 |  3  9  0  3  0 0 |  3  0  3  0 0  0 0 | 6  * *  * * * | 2 0 0
x3o x . x . ♦ 12 | 12  6  6 |  4  6  6  0  3 0 |  2  2  0  3 0  0 0 | * 18 *  * * * | 1 1 0
x3o . . x6o ♦ 18 | 18  0 12 |  6  0 18  0  0 3 |  0  6  0  0 3  0 0 | *  * 3  * * * | 0 2 0
x . x3o x . ♦ 12 |  6 12  6 |  0  6  3  4  6 0 |  0  0  2  3 0  2 0 | *  * * 18 * * | 1 0 1
x . x . x6o ♦ 24 | 12 12 24 |  0  6 12  0 12 4 |  0  0  0  6 2  0 2 | *  * *  * 9 * | 0 1 1
. . x3o x6o ♦ 18 |  0 18 18 |  0  0  0  6 18 3 |  0  0  0  0 0  6 3 | *  * *  * * 3 | 0 0 2
------------+----+----------+------------------+--------------------+---------------+------
x3o x3o x . ♦ 18 | 18 18  9 |  6 18  9  6  9 0 |  6  3  6  9 0  3 0 | 2  3 0  3 0 0 | 6 * *
x3o x . x6o ♦ 36 | 36 18 36 | 12 18 36  0 18 6 |  6 12  0 18 6  0 3 | 0  6 2  0 3 0 | * 3 *
x . x3o x6o ♦ 36 | 18 36 36 |  0 18 18 12 36 6 |  0  0  6 18 3 12 6 | 0  0 0  6 3 2 | * * 3
```
```or
. . . . . .    | 54 |   4  2 |  2  4   8 1 |  4  4  8  4 | 1  8 2 4 | 2 4
---------------+----+--------+-------------+-------------+----------+----
x . . . . .  & |  2 | 108  * |  1  2   2 0 |  3  2  4  1 | 1  6 1 2 | 2 3
. . . . x .    |  2 |   * 54 |  0  0   4 1 |  0  2  4  4 | 0  4 2 4 | 1 4
---------------+----+--------+-------------+-------------+----------+----
x3o . . . .  & |  3 |   3  0 | 36  *   * * |  2  2  0  0 | 1  4 1 0 | 2 2
x . x . . .    |  4 |   4  0 |  * 54   * * |  2  0  2  0 | 1  4 0 1 | 2 2
x . . . x .  & |  4 |   2  2 |  *  * 108 * |  0  1  2  1 | 0  3 1 2 | 1 3
. . . . x6o    |  6 |   0  6 |  *  *   * 9 |  0  0  0  4 | 0  0 2 4 | 0 4
---------------+----+--------+-------------+-------------+----------+----
x3o x . . .  & ♦  6 |   9  0 |  2  3   0 0 | 36  *  *  * | 1  2 0 0 | 2 1
x3o . . x .  & ♦  6 |   6  3 |  2  0   3 0 |  * 36  *  * | 0  2 1 0 | 1 2
x . x . x .    ♦  8 |   8  4 |  0  2   4 0 |  *  * 54  * | 0  2 0 1 | 1 2
x . . . x6o  & ♦ 12 |   6 12 |  0  0   6 2 |  *  *  * 18 | 0  0 1 2 | 0 3
---------------+----+--------+-------------+-------------+----------+----
x3o x3o . .    ♦  9 |  18  0 |  6  9   0 0 |  6  0  0  0 | 6  * * * | 2 0
x3o x . x .  & ♦ 12 |  18  6 |  4  6   9 0 |  2  2  3  0 | * 36 * * | 1 1
x3o . . x6o  & ♦ 18 |  18 18 |  6  0  18 3 |  0  6  0  3 | *  * 6 * | 0 2
x . x . x6o    ♦ 24 |  24 24 |  0  6  24 4 |  0  0  6  4 | *  * * 9 | 0 2
---------------+----+--------+-------------+-------------+----------+----
x3o x3o x .    ♦ 18 |  36  9 | 12 18  18 0 | 12  6  9  0 | 2  6 0 0 | 6 *
x3o x . x6o  & ♦ 36 |  36 36 | 12 18  54 6 |  6 12 18  9 | 0  6 2 3 | * 6
```

```x3o x3o x3x | 54 |  2  2  1  1 |  1  4  2  2  1  2  2 1 |  2 1 1  2  4  4 2 1 1 2 | 1 2 2 1 2 2 4 1 | 1 1 2 2
------------+----+-------------+------------------------+-------------------------+-----------------+--------
x . . . . . |  2 | 54  *  *  * |  1  2  1  1  0  0  0 0 |  2 1 1  1  2  2 1 0 0 0 | 1 2 2 1 1 1 2 0 | 1 1 2 1
. . x . . . |  2 |  * 54  *  * |  0  2  0  0  1  1  1 0 |  1 0 0  2  1  1 0 1 1 1 | 1 1 1 0 2 2 2 1 | 1 1 1 2
. . . . x . |  2 |  *  * 27  * |  0  0  2  0  0  2  0 1 |  0 1 0  0  4  0 2 1 0 2 | 0 2 0 1 2 0 4 1 | 1 0 2 2
. . . . . x |  2 |  *  *  * 27 |  0  0  0  2  0  0  2 1 |  0 0 1  0  0  4 2 0 1 2 | 0 0 2 1 0 2 4 1 | 0 1 2 2
------------+----+-------------+------------------------+-------------------------+-----------------+--------
x3o . . . . |  3 |  3  0  0  0 | 18  *  *  *  *  *  * * |  2 1 1  0  0  0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 1 1 2 0
x . x . . . |  4 |  2  2  0  0 |  * 54  *  *  *  *  * * |  1 0 0  1  1  1 0 0 0 0 | 1 1 1 0 1 1 1 0 | 1 1 1 1
x . . . x . |  4 |  2  0  2  0 |  *  * 27  *  *  *  * * |  0 1 0  0  2  0 1 0 0 0 | 0 2 0 1 1 0 2 0 | 1 0 2 1
x . . . . x |  4 |  2  0  0  2 |  *  *  * 27  *  *  * * |  0 0 1  0  0  2 1 0 0 0 | 0 0 2 1 0 1 2 0 | 0 1 2 1
. . x3o . . |  3 |  0  3  0  0 |  *  *  *  * 18  *  * * |  0 0 0  2  0  0 0 1 1 0 | 1 0 0 0 2 2 0 1 | 1 1 0 2
. . x . x . |  4 |  0  2  2  0 |  *  *  *  *  * 27  * * |  0 0 0  0  2  0 0 1 0 1 | 0 1 0 0 2 0 2 1 | 1 0 1 2
. . x . . x |  4 |  0  2  0  2 |  *  *  *  *  *  * 27 * |  0 0 0  0  0  2 0 0 1 1 | 0 0 1 0 0 2 2 1 | 0 1 1 2
. . . . x3x |  6 |  0  0  3  3 |  *  *  *  *  *  *  * 9 |  0 0 0  0  0  0 2 0 0 2 | 0 0 0 1 0 0 4 1 | 0 0 2 2
------------+----+-------------+------------------------+-------------------------+-----------------+--------
x3o x . . . ♦  6 |  6  3  0  0 |  2  3  0  0  0  0  0 0 | 18 * *  *  *  * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0
x3o . . x . ♦  6 |  6  0  3  0 |  2  0  3  0  0  0  0 0 |  * 9 *  *  *  * * * * * | 0 2 0 1 0 0 0 0 | 1 0 2 0
x3o . . . x ♦  6 |  6  0  0  3 |  2  0  0  3  0  0  0 0 |  * * 9  *  *  * * * * * | 0 0 2 1 0 0 0 0 | 0 1 2 0
x . x3o . . ♦  6 |  3  6  0  0 |  0  3  0  0  2  0  0 0 |  * * * 18  *  * * * * * | 1 0 0 0 1 1 0 0 | 1 1 0 1
x . x . x . ♦  8 |  4  4  4  0 |  0  2  2  0  0  2  0 0 |  * * *  * 27  * * * * * | 0 1 0 0 1 0 1 0 | 1 0 1 1
x . x . . x ♦  8 |  4  4  0  4 |  0  2  0  2  0  0  2 0 |  * * *  *  * 27 * * * * | 0 0 1 0 0 1 1 0 | 0 1 1 1
x . . . x3x ♦ 12 |  6  0  6  6 |  0  0  3  3  0  0  0 2 |  * * *  *  *  * 9 * * * | 0 0 0 1 0 0 2 0 | 0 0 2 1
. . x3o x . ♦  6 |  0  6  3  0 |  0  0  0  0  2  3  0 0 |  * * *  *  *  * * 9 * * | 0 0 0 0 2 0 0 1 | 1 0 0 2
. . x3o . x ♦  6 |  0  6  0  3 |  0  0  0  0  2  0  3 0 |  * * *  *  *  * * * 9 * | 0 0 0 0 0 2 0 1 | 0 1 0 2
. . x . x3x ♦ 12 |  0  6  6  6 |  0  0  0  0  0  3  3 2 |  * * *  *  *  * * * * 9 | 0 0 0 0 0 0 2 1 | 0 0 1 2
------------+----+-------------+------------------------+-------------------------+-----------------+--------
x3o x3o . . ♦  9 |  9  9  0  0 |  3  9  0  0  3  0  0 0 |  3 0 0  3  0  0 0 0 0 0 | 6 * * * * * * * | 1 1 0 0
x3o x . x . ♦ 12 | 12  6  6  0 |  4  6  6  0  0  3  0 0 |  2 2 0  0  3  0 0 0 0 0 | * 9 * * * * * * | 1 0 1 0
x3o x . . x ♦ 12 | 12  6  0  6 |  4  6  0  6  0  0  3 0 |  2 0 2  0  0  3 0 0 0 0 | * * 9 * * * * * | 0 1 1 0
x3o . . x3x ♦ 18 | 18  0  9  9 |  6  0  9  9  0  0  0 3 |  0 3 3  0  0  0 3 0 0 0 | * * * 3 * * * * | 0 0 2 0
x . x3o x . ♦ 12 |  6 12  6  0 |  0  6  3  0  4  6  0 0 |  0 0 0  2  3  0 0 2 0 0 | * * * * 9 * * * | 1 0 0 1
x . x3o . x ♦ 12 |  6 12  0  6 |  0  6  0  3  4  0  6 0 |  0 0 0  2  0  3 0 0 2 0 | * * * * * 9 * * | 0 1 0 1
x . x . x3x ♦ 24 | 12 12 12 12 |  0  6  6  6  0  6  6 4 |  0 0 0  0  3  3 2 0 0 2 | * * * * * * 9 * | 0 0 1 1
. . x3o x3x ♦ 18 |  0 18  9  9 |  0  0  0  0  6  9  9 3 |  0 0 0  0  0  0 0 3 3 3 | * * * * * * * 3 | 0 0 0 2
------------+----+-------------+------------------------+-------------------------+-----------------+--------
x3o x3o x . ♦ 18 | 18 18  9  0 |  6 18  9  0  6  9  0 0 |  6 3 0  6  9  0 0 3 0 0 | 2 3 0 0 3 0 0 0 | 3 * * *
x3o x3o . x ♦ 18 | 18 18  0  9 |  6 18  0  9  6  0  9 0 |  6 0 3  6  0  9 0 0 3 0 | 2 0 3 0 0 3 0 0 | * 3 * *
x3o x . x3x ♦ 36 | 36 18 18 18 | 12 18 18 18  0  9  9 6 |  6 6 6  0  9  9 6 0 0 3 | 0 3 3 2 0 0 3 0 | * * 3 *
x . x3o x3x ♦ 36 | 18 36 18 18 |  0 18  9  9 12 18 18 6 |  0 0 0  6  9  9 3 6 6 6 | 0 0 0 0 3 3 3 2 | * * * 3
```