Acronym	stut xethi
Name	small tritrigonal hexacositrishecatonicosachoron
Cross sections	©
Circumradius	sqrt[8+3 sqrt(5)] = 3.835128
Colonel of regiment	stut phiddix
Face vector	2400, 10800, 7680, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope stut xethi is isomorphic to getit xethi, thereby replacing the decagons by decagrams and the pentagons by pentagrams, resp. replacing the gidtid by sidtid, saddid by gaddid, and tid by quit gissid. – As such stut xethi is a lieutenant.

Incidence matrix according to Dynkin symbol

        _o_        
    _3-  |  -3_    
 o<     5/4     >x 
    -3_  |  _5-    
        -x-        

o3o3x5x3*a5/4*c

. . . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
----------------+------+-----------+---------------------+----------------
. . x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. . . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
----------------+------+-----------+---------------------+----------------
o . x . *a5/4*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o . . x3*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
. o3x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. . x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
----------------+------+-----------+---------------------+----------------
o3o3x . *a5/4*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o . x3*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o . x5x3*a5/4*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
. o3x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120

        _o_        
    _3-  |  3/2    
 o<      5      >x 
    3/2  |  _5-    
        -x-        

o3o3/2x5x3/2*a5*c

. .   . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
. .   x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. .   . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o .   x .   *a5*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o .   . x3/2*a    |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
. o3/2x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. .   x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3o3/2x .   *a5*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o   . x3/2*a    ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o .   x5x3/2*a5*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
. o3/2x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120

        _o_        
    3/2  |  3/2    
 o<      5      >x 
    -3_  |  _5-    
        -x-        

o3/2o3x5x3/2*a5*c

.   . . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
.   . x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   . . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o   . x .   *a5*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   . . x3/2*a    |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
.   o3x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   . x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3/2o3x .   *a5*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o . x3/2*a    ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o   . x5x3/2*a5*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
.   o3x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120

        _o_        
    3/2  |  -3_    
 o<     5/4     >x 
    3/2  |  _5-    
        -x-        

o3/2o3/2x5x3*a5/4*c

.   .   . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
--------------------+------+-----------+---------------------+----------------
.   .   x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   .   . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
--------------------+------+-----------+---------------------+----------------
o   .   x . *a5/4*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   .   . x3*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
.   o3/2x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   .   x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
--------------------+------+-----------+---------------------+----------------
o3/2o3/2x . *a5/4*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o   . x3*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o   .   x5x3*a5/4*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
.   o3/2x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120