Acronym srahi
Name small rhombated hecatonicosachoron,
cantellated hecatonicosachoron
Vertex figure
` ©`
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: dip oct saddid srid tid trip pinpixhi 720 600 120 0 0 1200 spriphi 720 0 0 0 120 1200 srawvixady 0 600 120 0 120 0 srahi 0 600 0 120 0 1200
& others)
Dihedral angles
• at {3} between oct and trip:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756°
• at {4} between srid and trip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843°
• at {5} between srid and srid:   144°
• at {3} between oct and srid:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
Confer
Grünbaumian relatives:
2srahi   2srahi+1440{10}+4800{3}   2srahi+2400trip
segmentochora:
sridatid   pepuf
related CRFs:
sidsrahi   sgysrahi
decompositions:
srix || srahi
External

As abstract polytope srahi is isomorphic to qrigogishi, thereby replacing pentagons by pentagrams and replacing srid by qrid.

Note that srahi can be thought of as the external blend of 1 srix + 600 octacoes + 1200 trafs + 720 pafs + 120 idasrids. This decomposition is described as the degenerate segmentoteron xo3ox3xo5ox&#x.

Incidence matrix according to Dynkin symbol

```o3x3o5x

. . . . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
--------+------+-----------+--------------------+-------------
. x . . |    2 | 7200    * |    1    1    1   0 |   1    1   1
. . . x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
--------+------+-----------+--------------------+-------------
o3x . . |    3 |    3    0 | 2400    *    *   * |   1    1   0
. x3o . |    3 |    3    0 |    * 2400    *   * |   1    0   1
. x . x |    4 |    2    2 |    *    * 3600   * |   0    1   1
. . o5x |    5 |    0    5 |    *    *    * 720 |   0    0   2
--------+------+-----------+--------------------+-------------
o3x3o . ♦    6 |   12    0 |    4    4    0   0 | 600    *   *
o3x . x ♦    6 |    6    3 |    2    0    3   0 |   * 1200   *
. x3o5x ♦   60 |   60   60 |    0   20   30  12 |   *    * 120

snubbed forms: o3β3o5x, o3x3o5β, o3β3o5β
```

```o3x3/2o5/4x

. .   .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
------------+------+-----------+--------------------+-------------
. x   .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
. .   .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
------------+------+-----------+--------------------+-------------
o3x   .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
. x3/2o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
. x   .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
. .   o5/4x |    5 |    0    5 |    *    *    * 720 |   0    0   2
------------+------+-----------+--------------------+-------------
o3x3/2o   . ♦    6 |   12    0 |    4    4    0   0 | 600    *   *
o3x   .   x ♦    6 |    6    3 |    2    0    3   0 |   * 1200   *
. x3/2o5/4x ♦   60 |   60   60 |    0   20   30  12 |   *    * 120
```

```o3/2x3o5x

.   . . . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
----------+------+-----------+--------------------+-------------
.   x . . |    2 | 7200    * |    1    1    1   0 |   1    1   1
.   . . x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
----------+------+-----------+--------------------+-------------
o3/2x . . |    3 |    3    0 | 2400    *    *   * |   1    1   0
.   x3o . |    3 |    3    0 |    * 2400    *   * |   1    0   1
.   x . x |    4 |    2    2 |    *    * 3600   * |   0    1   1
.   . o5x |    5 |    0    5 |    *    *    * 720 |   0    0   2
----------+------+-----------+--------------------+-------------
o3/2x3o . ♦    6 |   12    0 |    4    4    0   0 | 600    *   *
o3/2x . x ♦    6 |    6    3 |    2    0    3   0 |   * 1200   *
.   x3o5x ♦   60 |   60   60 |    0   20   30  12 |   *    * 120
```

```o3/2x3/2o5/4x

.   .   .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
--------------+------+-----------+--------------------+-------------
.   x   .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
.   .   .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
--------------+------+-----------+--------------------+-------------
o3/2x   .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
.   x3/2o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
.   x   .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
.   .   o5/4x |    5 |    0    5 |    *    *    * 720 |   0    0   2
--------------+------+-----------+--------------------+-------------
o3/2x3/2o   . ♦    6 |   12    0 |    4    4    0   0 | 600    *   *
o3/2x   .   x ♦    6 |    6    3 |    2    0    3   0 |   * 1200   *
.   x3/2o5/4x ♦   60 |   60   60 |    0   20   30  12 |   *    * 120
```