Acronym	stut phiddix
Name	small tritrigonal prismatohecatonicosidishexacosachoron
Cross sections	©
Circumradius	sqrt[8+3 sqrt(5)] = 3.835128
Vertex figure	©
General of army	x3o3o5v
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co ditdid gidtid oho saddid sidditdid sidtid siid srid stip tet ti tid stuttixady 600 0 120 0 0 0 0 0 120 0 0 0 0 stut phiddix 600 0 0 0 0 0 120 0 0 720 600 0 0 stut thix 0 120 0 0 0 0 0 120 0 0 600 120 0 stut pixady 0 120 0 0 0 0 0 0 120 720 600 0 0 stut dixady 0 0 120 600 0 0 0 0 0 0 600 120 0 stut xethi 0 0 120 0 120 0 0 0 0 0 600 0 120 sit thixady 0 0 0 0 0 120 120 0 0 0 600 0 120 & others)
Face vector	2400, 10800, 9840, 2040
Confer	segmentochora: sidtidasiid   general polytopal classes: Wythoffian polychora
External links

As abstract polytope stut phiddix is isomorphic to getit phiddix, thereby replacing the pentagrams by pentagons, resp. replacing stip by pip and sidtid by gidtid.

Incidence matrix according to Dynkin symbol

     x    
   3 |    
     o    
  3 / \ 3 
   x---o  
    5/2   

x3o3x5/2o3*b

. . .   .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------+------+-----------+---------------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x   .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------+------+-----------+---------------------+----------------
x3o .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x   .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x   .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5/2o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x3o3x   .    ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o .   o3*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5/2o    ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5/2o3*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

     x     
   3 |     
     o     
  3 / \ 3/2
   x---o   
    5/3    

x3o3x5/3o3/2*b

. . .   .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
---------------+------+-----------+---------------------+----------------
x . .   .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x   .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
---------------+------+-----------+---------------------+----------------
x3o .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x   .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5/3o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
---------------+------+-----------+---------------------+----------------
x3o3x   .      ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o .   o3/2*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5/3o      ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5/3o3/2*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

     x     
 3/2 |     
     o     
3/2 / \ 3/2
   x---o   
    5/2    

x3/2o3/2x5/2o3/2*b

.   .   .   .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------------+------+-----------+---------------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x   .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o   .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x   .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x   .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5/2o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o3/2x   .      ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   .   o3/2*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5/2o      ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5/2o3/2*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

     x    
 3/2 |    
     o    
3/2 / \ 3 
   x---o  
    5/3   

x3/2o3/2x5/3o3*b

.   .   .   .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-----------------+------+-----------+---------------------+----------------
x   .   .   .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x   .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o   .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x   .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x   .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5/3o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o3/2x   .    ♦   12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   .   o3*b ♦    4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5/3o    ♦   10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5/3o3*b ♦   20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3o3o5β

both( . . . . ) | 2400 |    3    6 |    3    3    6    3 |   1   3   1   3
----------------+------+-----------+---------------------+----------------
both( x . . . ) |    2 | 3600    * |    2    0    2    0 |   1   1   0   2
sefa( . . o5β ) |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
----------------+------+-----------+---------------------+----------------
both( x3o . . ) |    3 |    3    0 | 2400    *    *    * |   1   0   0   1
      . . o5β   ♦    5 |    0    5 |    * 1440    *    * |   0   1   1   0
sefa( x 2 o5β ) |    4 |    2    2 |    *    * 3600    * |   0   1   0   1
sefa( . o3o5β ) |    3 |    0    3 |    *    *    * 2400 |   0   0   1   1
----------------+------+-----------+---------------------+----------------
both( x3o3o . ) ♦    4 |    6    0 |    4    0    0    0 | 600   *   *   *
      x 2 o5β   ♦   10 |    5   10 |    0    2    5    0 |   * 720   *   *
      . o3o5β   ♦   20 |    0   60 |    0   12    0   20 |   *   * 120   *
sefa( x3o3o5β ) ♦   12 |   12   12 |    4    0    6    4 |   *   *   * 600

starting figure: x3o3o5x