Acronym	srahi
Name	small rhombated hecatonicosachoron, cantellated hecatonicosachoron
Cross sections	©
Circumradius	sqrt[23+10 sqrt(5)] = 6.735034
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°
Face vector	3600, 10800, 9120, 1920
Confer	Grünbaumian relatives: 2srahi   2srahi+1440{10}+4800{3}   2srahi+2400trip   segmentochora: sridatid   pepuf   related CRFs: sidsrahi   sgysrahi   decompositions: srix || srahi   variations: o3x3o5f   general polytopal classes: Wythoffian polychora
External links

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