Acronym sphiddix
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: grid sidditdid siid stip toe tut sphiddix 0 0 120 720 600 600 sixipady 120 120 0 720 0 600
& others)
External

As abstract polytope sphiddix is isomorphic to giphiddix, thereby replacing pentagrams by pentagons, resp. stip by pip and siid by giid

Incidence matrix according to Dynkin symbol

```x3x3x5/2o3*b

. . .   .    | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
-------------+------+----------------+--------------------------+----------------
x . .   .    |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x .   .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x   .    |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x .   .    |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x . x   .    |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x   .    |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x .   o3*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
. . x5/2o    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3x   .    ♦   24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x .   o3*b ♦   12 |    6   12    0 |    4    0    0    4    0 |   * 600   *   *
x . x5/2o    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/2o3*b ♦   60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120
```

```x3x3x5/3o3/2*b

. . .   .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
---------------+------+----------------+--------------------------+----------------
x . .   .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x .   .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x   .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
---------------+------+----------------+--------------------------+----------------
x3x .   .      |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x   .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x .   o3/2*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
. . x5/3o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x3x3x   .      ♦   24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x .   o3/2*b ♦   12 |    6   12    0 |    4    0    0    4    0 |   * 600   *   *
x . x5/3o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/3o3/2*b ♦   60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120
```

```x3x3o5β

both( . . . . ) | 7200 |    1    2    2 |    2    1    1    2    2 |   1   1   1   2
----------------+------+----------------+--------------------------+----------------
both( x . . . ) |    2 | 3600    *    * |    2    0    0    2    0 |   1   1   0   2
both( . x . . ) |    2 |    * 7200    * |    1    1    0    0    1 |   1   0   1   1
sefa( . . o5β ) |    2 |    *    * 7200 |    0    0    1    1    1 |   0   1   1   1
----------------+------+----------------+--------------------------+----------------
both( x3x . . ) |    6 |    3    3    0 | 2400    *    *    *    * |   1   0   0   1
both( . x3o . ) |    3 |    0    3    0 |    * 2400    *    *    * |   1   0   1   0
. . o5β   ♦    5 |    0    0    5 |    *    * 1440    *    * |   0   1   1   0
sefa( x 2 o5β ) |    4 |    2    0    2 |    *    *    * 3600    * |   0   1   0   1
sefa( . x3o5β ) |    6 |    0    3    3 |    *    *    *    * 2400 |   0   0   1   1
----------------+------+----------------+--------------------------+----------------
both( x3x3o . ) ♦   12 |    6   12    0 |    4    4    0    0    0 | 600   *   *   *
x 2 o5β   ♦   10 |    5    0   10 |    0    0    2    5    0 |   * 720   *   *
. x3o5β   ♦   60 |    0   60   60 |    0   20   12    0   20 |   *   * 120   *
sefa( x3x3o5β ) ♦   24 |   12   12   12 |    4    0    0    6    4 |   *   *   * 600

starting figure: x3x3o5x
```