Acronym sipti Name small prismatotriakisicositetrachoron Circumradius sqrt[8+3 sqrt(2)] = 3.498949 General of army prico Colonel of regiment prico Externallinks

As abstract polytope sipti is isomorphic to gipti, thereby replacing octagons by octagrams, respectively girco by quitco and socco by gocco. – As such sipti is a lieutenant.

Incidence matrix according to Dynkin symbol

```x3x4o3/2x4*b

. . .   .    | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
-------------+-----+-------------+---------------------+------------
x . .   .    |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x .   .    |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. . .   x    |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
-------------+-----+-------------+---------------------+------------
x3x .   .    |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x . .   x    |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4o   .    |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x .   x4*b |   8 |   0   4   4 |   *   *   * 144   * |  0  1  0  1
. . o3/2x    |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-------------+-----+-------------+---------------------+------------
x3x4o   .    ♦  24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x .   x4*b ♦  48 |  24  24  24 |   8  12   0   6   0 |  * 24  *  *
x . o3/2x    ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4o3/2x4*b ♦  24 |   0  24  24 |   0   0   6   6   8 |  *  *  * 24
```

```x3x4/3o3x4*b

. .   . .    | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
-------------+-----+-------------+---------------------+------------
x .   . .    |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x   . .    |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. .   . x    |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
-------------+-----+-------------+---------------------+------------
x3x   . .    |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x .   . x    |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4/3o .    |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x   . x4*b |   8 |   0   4   4 |   *   *   * 144   * |  0  1  0  1
. .   o3x    |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-------------+-----+-------------+---------------------+------------
x3x4/3o .    ♦  24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x   . x4*b ♦  48 |  24  24  24 |   8  12   0   6   0 |  * 24  *  *
x .   o3x    ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4/3o3x4*b ♦  24 |   0  24  24 |   0   0   6   6   8 |  *  *  * 24
```

```x3x4o3β

both( . . . . ) | 576 |   1   2   2 |   2   1   1   2   2 |  1  1  1  2
----------------+-----+-------------+---------------------+------------
both( x . . . ) |   2 | 288   *   * |   2   0   0   2   0 |  1  1  0  2
both( . x . . ) |   2 |   * 576   * |   1   1   0   0   1 |  1  0  1  1
sefa( . . o3β ) |   2 |   *   * 576 |   0   0   1   1   1 |  0  1  1  1
----------------+-----+-------------+---------------------+------------
both( x3x . . ) |   6 |   3   3   0 | 192   *   *   *   * |  1  0  0  1
both( . x4o . ) |   4 |   0   4   0 |   * 144   *   *   * |  1  0  1  0
. . o3β   ♦   3 |   0   0   3 |   *   * 192   *   * |  0  1  1  0
sefa( x . o3β ) |   4 |   2   0   2 |   *   *   * 288   * |  0  1  0  1
sefa( . x4o3β ) |   8 |   0   4   4 |   *   *   *   * 144 |  0  0  1  1
----------------+-----+-------------+---------------------+------------
both( x3x4o . ) ♦  24 |  12  24   0 |   8   6   0   0   0 | 24  *  *  *
x . o3β   ♦   6 |   3   0   6 |   0   0   2   3   0 |  * 96  *  *
. x4o3β   ♦  24 |   0  24  24 |   0   6   8   0   6 |  *  * 24  *
sefa( x3x4o3β ) ♦  48 |  24  24  24 |   8   0   0  12   6 |  *  *  * 24

starting figure: x3x4o3x
```