Acronym	srix
Name	small rhombated hexacosachoron, cantellated hexacosachoron
Cross sections	©
Circumradius	sqrt[19+8 sqrt(5)] = 6.073594
Vertex figure	©
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co grid id oho pip ti srix 600 0 120 0 720 0 pirsady 0 120 0 0 720 120 srawv hixhi 0 0 120 600 0 120 & others)
Dihedral angles	at {4} between co and pip:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474° at {3} between co and co:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {5} between id and pip:   162° at {3} between co and id:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
Face vector	3600, 10800, 8640, 1440
Confer	Grünbaumian relatives: 2srix   2srix+2400{6}+4800{3}   2srix+2400{6}+7200{3}   segmentochora: idati   other CRFs: idsrix   ti || (x,f)-srid || grid   id || ti || (x,f)-srid || grid   decompositions: sidpixhi || srix   ambification pre-image: rox   general polytopal classes: Wythoffian polychora
External links

As abstract polytope srix is isomorphic to sirgax, thereby replacing pentagons by pentagrams, resp. replacing id by gid and pip by stip.

Note that srix can be thought of as the external blend of 1 sidpixhi + 600 tetacoes + 1200 triddips + 720 pappips + 120 doaids. This decomposition is described as the degenerate segmentoteron xx3oo3ox5xo&#x.

Incidence matrix according to Dynkin symbol

x3o3x5o

. . . . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
--------+------+-----------+---------------------+------------
x . . . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. . x . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
--------+------+-----------+---------------------+------------
x3o . . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x . x . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3x . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. . x5o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
--------+------+-----------+---------------------+------------
x3o3x . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x . x5o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
. o3x5o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120

snubbed forms: β3o3x5o, x3o3β5o, β3o3β5o

x3o3x5/4o

. . .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
----------+------+-----------+---------------------+------------
x . .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
. . x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
----------+------+-----------+---------------------+------------
x3o .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
. o3x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
. . x5/4o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
----------+------+-----------+---------------------+------------
x3o3x   . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x . x5/4o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
. o3x5/4o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3/2x5o

.   .   . . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
------------+------+-----------+---------------------+------------
x   .   . . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   .   x . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
------------+------+-----------+---------------------+------------
x3/2o   . . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   .   x . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3/2x . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   .   x5o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
------------+------+-----------+---------------------+------------
x3/2o3/2x . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x   .   x5o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3/2x5o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120

x3/2o3/2x5/4o

.   .   .   . | 3600 |    2    4 |    1    4    2    2 |   2   2   1
--------------+------+-----------+---------------------+------------
x   .   .   . |    2 | 3600    * |    1    2    0    0 |   2   1   0
.   .   x   . |    2 |    * 7200 |    0    1    1    1 |   1   1   1
--------------+------+-----------+---------------------+------------
x3/2o   .   . |    3 |    3    0 | 1200    *    *    * |   2   0   0
x   .   x   . |    4 |    2    2 |    * 3600    *    * |   1   1   0
.   o3/2x   . |    3 |    0    3 |    *    * 2400    * |   1   0   1
.   .   x5/4o |    5 |    0    5 |    *    *    * 1440 |   0   1   1
--------------+------+-----------+---------------------+------------
x3/2o3/2x   . ♦   12 |   12   12 |    4    6    4    0 | 600   *   *
x   .   x5/4o ♦   10 |    5   10 |    0    5    0    2 |   * 720   *
.   o3/2x5/4o ♦   30 |    0   60 |    0    0   20   12 |   *   * 120