Acronym triquip Name triangle-triangle-triangle-triangle-tetraprism(or: -quadprism) Circumradius sqrt(4/3) = 1.154701 Volume 9/256 = 0.035156 Confer n,n,n,n-quip

Incidence matrix according to Dynkin symbol

```x3o x3o x3o x3o

. . . . . . . .    | 81 |   8 |   4  24 |  24  32 |  6  48 16 |  24  32 |  4 24 |  8
-------------------+----+-----+---------+---------+-----------+---------+-------+---
x . . . . . . .  & |  2 | 324 |   1   6 |   9  12 |  3  24  8 |  15  20 |  3 18 |  7
-------------------+----+-----+---------+---------+-----------+---------+-------+---
x3o . . . . . .  & |  3 |   3 | 108   * |   6   0 |  3  12  0 |  12   8 |  3 12 |  6
x . x . . . . .  & |  4 |   4 |   * 486 |   2   4 |  1  10  4 |   8  12 |  2 13 |  6
-------------------+----+-----+---------+---------+-----------+---------+-------+---
x3o x . . . . .  & ♦  6 |   9 |   2   3 | 324   * |  1   4  0 |   6   4 |  2  8 |  5
x . x . x . . .  & ♦  8 |  12 |   0   6 |   * 324 |  0   3  2 |   3   7 |  1  9 |  5
-------------------+----+-----+---------+---------+-----------+---------+-------+---
x3o x3o . . . .  & ♦  9 |  18 |   6   9 |   6   0 | 54   *  * |   4   0 |  2  4 |  4
x3o x . x . . .  & ♦ 12 |  24 |   4  15 |   4   3 |  * 324  * |   2   2 |  1  5 |  4
x . x . x . x .    ♦ 16 |  32 |   0  24 |   0   8 |  *   * 81 |   0   4 |  0  6 |  4
-------------------+----+-----+---------+---------+-----------+---------+-------+---
x3o x3o x . . .  & ♦ 18 |  45 |  12  36 |  18   9 |  2   6  0 | 108   * |  1  2 |  3
x3o x . x . x .  & ♦ 24 |  60 |   8  54 |  12  21 |  0   6  3 |   * 108 |  0  3 |  3
-------------------+----+-----+---------+---------+-----------+---------+-------+---
x3o x3o x3o . .  & ♦ 27 |  81 |  27  81 |  54  27 |  9  27  0 |   9   0 | 12  * |  2
x3o x3o x . x .  & ♦ 36 | 108 |  24 117 |  48  54 |  4  30  9 |   4   6 |  * 54 |  2
-------------------+----+-----+---------+---------+-----------+---------+-------+---
x3o x3o x3o x .  & ♦ 54 | 189 |  54 243 | 135 135 | 18 108 27 |  27  27 |  2  9 | 12
```