©

                              x o         o x                              
                             (6)                                           
                                                                           
                  o o               f f               o o                  
                 (3)               (5)                                     
                     f x         F o   o F         x f                     
                    (1)         (4)                                        
                                                                           
               . .         x F               F x         . .               
      o o                 (1)       F F                           o o      
                                   (5)                                     
         f x         u F         A x   x A         F u         x f         
                    (4)         (2)                                        
                                                                           
               x F         . .               . .         F x               
                                                                           
x o                           A f         f A                           o x
         F o         A x     (6)                   x A         o F         
                                                                           
      f f         F F              xB Bx              F F         f f      
                                   (3)                                     
         o F         x A                           A x         F o         
o x                           f A         A f                           x o
                                                                           
               F x         . .               . .         x F               
                                                                           
                                                                           
         x f         F u         x A   A x         u F         f x         
                                                                           
      o o                           F F                           o o      
               . .         F x               x F         . .               
                                                                           
                                                                           
                     x f         o F   F o         f x                     
                                                                           
                  o o               f f               o o                  
                                                                           
                                                                           
                              o x         x o                              

where: F=f+x, A=f+2x, B=2f+x

The relation to ex runs as follows: ex in demitessic subsymmetry can be given as ooxf3fooo3oxfo *b3ofox&#zx. That will be transformed into ooxf3foox3oxfo *b3ofo(-x)&#zx (faceting, same vertex set). Then a Stott expansion wrt. the last node produces icau pretasto. That one could be redone wrt. A₁ × A₁ × A₁ × A₁ symmetry (cf. lace city above), where 8 pairs of vertices (there displayed as . .) can be omitted to produce this polychoron.

The below mentioned atrributes near / far resp. 1st / 2nd / 3rd are meant wrt. the extraordinary pip-pip connecting squares.

Incidence matrix

32  *  *  *  *  * |  2  2  2  2  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 | 1  2  2  2  2  2  2  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  2  2  2  2  0  0 0  0  0  0 0  (1)
 * 64  *  *  *  * |  0  1  0  0  1  1  1  1  1  1  1 0  0  0  0  0  0  0  0 | 0  1  1  0  1  1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  0  0  0  0 |  1  1  1  1  1  1 1  1  1  1 0  (2)
 *  * 16  *  *  * |  0  0  0  0  0  0  4  0  0  0  0 1  2  0  0  0  0  0  0 | 0  2  0  0  0  0  0  0  0  4  2  0  0  0  0  4  0  0  0  0  1  0  0  0 |  2  2  0  0  2  2 0  0  0  0 0  (3)
 *  *  * 32  *  * |  0  0  2  0  0  0  0  2  2  0  0 0  0  2  1  0  0  0  0 | 0  0  0  1  2  0  2  0  0  0  0  2  1  1  0  0  2  2  2  0  0  2  0  0 |  0  1  1  2  0  0 1  2  1  2 0  (4)
 *  *  *  * 32  * |  0  0  0  2  0  0  0  0  0  2  0 0  0  2  0  1  2  0  0 | 0  0  0  0  0  2  2  2  0  0  0  0  0  0  0  0  4  2  0  2  0  2  1  0 |  0  2  0  4  0  0 0  2  0  2 0  (5)
 *  *  *  *  * 32 |  0  0  0  0  0  0  0  0  0  0  2 0  1  0  1  0  2  1  2 | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  2  0  0  2  2  1  2  2  3 |  0  3  0  0  0  1 0  0  1  2 1  (6)
------------------+---------------------------------------------------------+------------------------------------------------------------------------+-------------------------------
 2  0  0  0  0  0 | 32  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * | 1  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  2  1  1  0  0  0 0  0  0  0 0
 1  1  0  0  0  0 |  * 64  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * | 0  1  1  0  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  1  1  1  1  0  0 0  0  0  0 0
 1  0  0  1  0  0 |  *  * 64  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * | 0  0  0  1  1  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  0  1  1  1  0  0 0  0  0  0 0
 1  0  0  0  1  0 |  *  *  * 64  *  *  *  *  *  *  * *  *  *  *  *  *  *  * | 0  0  0  0  0  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  0  1  0  2  0  0 0  0  0  0 0
 0  2  0  0  0  0 |  *  *  *  * 32  *  *  *  *  *  * *  *  *  *  *  *  *  * | 0  0  1  0  0  0  0  0  1  1  0  0  1  0  0  0  0  0  0  0  0  0  0  0 |  1  0  1  0  1  0 1  0  0  0 0  pip ones
 0  2  0  0  0  0 |  *  *  *  *  * 32  *  *  *  *  * *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  1  0  1  0  0  1  1  0  0  0  0  0  0  0  0  0 |  0  0  0  0  1  1 1  0  1  0 0  trip ones
 0  1  1  0  0  0 |  *  *  *  *  *  * 64  *  *  *  * *  *  *  *  *  *  *  * | 0  1  0  0  0  0  0  0  0  1  1  0  0  0  0  1  0  0  0  0  0  0  0  0 |  1  1  0  0  1  1 0  0  0  0 0
 0  1  0  1  0  0 |  *  *  *  *  *  *  * 64  *  *  * *  *  *  *  *  *  *  * | 0  0  0  0  1  0  0  0  0  0  0  1  1  0  0  0  1  0  0  0  0  0  0  0 |  0  0  1  1  0  0 1  1  0  0 0  at squippy-co
 0  1  0  1  0  0 |  *  *  *  *  *  *  *  * 64  *  * *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0  0  0  1  0  1  0  0  0  1  1  0  0  0  0  0 |  0  0  0  0  0  0 1  1  1  1 0  at tet-co
 0  1  0  0  1  0 |  *  *  *  *  *  *  *  *  * 64  * *  *  *  *  *  *  *  * | 0  0  0  0  0  1  0  0  0  0  0  0  0  0  0  0  1  1  0  1  0  0  0  0 |  0  1  0  1  0  0 0  1  0  1 0
 0  1  0  0  0  1 |  *  *  *  *  *  *  *  *  *  * 64 *  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  1  0  0  1  1  0  0  0  0 |  0  1  0  0  0  1 0  0  1  1 0
 0  0  2  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 8  *  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  2  0  0  0  2  0 0  0  0  0 0
 0  0  1  0  0  1 |  *  *  *  *  *  *  *  *  *  *  * * 32  *  *  *  *  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  1  0  0  0 |  0  2  0  0  0  1 0  0  0  0 0
 0  0  0  1  1  0 |  *  *  *  *  *  *  *  *  *  *  * *  * 64  *  *  *  *  * | 0  0  0  0  0  0  1  0  0  0  0  0  0  0  0  0  1  1  0  0  0  1  0  0 |  0  1  0  1  0  0 0  1  0  1 0
 0  0  0  1  0  1 |  *  *  *  *  *  *  *  *  *  *  * *  *  * 32  *  *  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  0  0 |  0  1  0  0  0  0 0  0  1  2 0
 0  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  * *  *  *  * 16  *  *  * | 0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0 |  0  0  0  4  0  0 0  2  0  0 0
 0  0  0  0  1  1 |  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * 64  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0  1  1  0 |  0  2  0  0  0  0 0  0  0  1 0
 0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  * 16  * | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0  0  2 |  0  2  0  0  0  0 0  0  0  0 1  2-ap base
 0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  * 32 | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  2 |  0  2  0  0  0  0 0  0  0  0 1  2-ap lacings
------------------+---------------------------------------------------------+------------------------------------------------------------------------+-------------------------------
 4  0  0  0  0  0 |  4  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 | 8  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  2  0  0  0  0  0 0  0  0  0 0  pip-pip square
 2  2  1  0  0  0 |  1  2  0  0  0  0  2  0  0  0  0 0  0  0  0  0  0  0  0 | * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  1  0  0  0  0 0  0  0  0 0  pip pentagons
 2  2  0  0  0  0 |  1  2  0  0  1  0  0  0  0  0  0 0  0  0  0  0  0  0  0 | *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  1  0  0  0 0  0  0  0 0  pip lower laterals
 2  0  0  1  0  0 |  1  0  2  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 | *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  1  0  0  0 0  0  0  0 0  squippy near lacing
 1  1  0  1  0  0 |  0  1  1  0  0  0  0  1  0  0  0 0  0  0  0  0  0  0  0 | *  *  *  * 64  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  1  0  0 0  0  0  0 0  squippy side lacings
 1  1  0  0  1  0 |  0  1  0  1  0  0  0  0  0  1  0 0  0  0  0  0  0  0  0 | *  *  *  *  * 64  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  0  1  0  0 0  0  0  0 0  gyepips 2nd lacing bottom-up
 1  0  0  1  1  0 |  0  0  1  1  0  0  0  0  0  0  0 0  0  1  0  0  0  0  0 | *  *  *  *  *  * 64  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  0  1  0  0 0  0  0  0 0  gyepips 1st lacing top-down
 1  0  0  0  2  0 |  0  0  0  2  0  0  0  0  0  0  0 0  0  0  0  1  0  0  0 | *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  0  2  0  0 0  0  0  0 0
 0  4  0  0  0  0 |  0  0  0  0  2  2  0  0  0  0  0 0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  * 16  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  0  0  1  0 1  0  0  0 0  trip-co square
 0  2  2  0  0  0 |  0  0  0  0  1  0  2  0  0  0  0 1  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  0  0  1  0 0  0  0  0 0  pip upper laterals
 0  2  1  0  0  0 |  0  0  0  0  0  1  2  0  0  0  0 0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  0  0  1  1 0  0  0  0 0  trip triangle
 0  2  0  2  0  0 |  0  0  0  0  0  0  0  2  2  0  0 0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  0  0  0  0 1  1  0  0 0  co lacing squares
 0  2  0  1  0  0 |  0  0  0  0  1  0  0  2  0  0  0 0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  0  0  0 1  0  0  0 0  squippy-co triangle
 0  2  0  1  0  0 |  0  0  0  0  0  1  0  0  2  0  0 0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  * |  0  0  0  0  0  0 1  0  1  0 0  tet-co triangle
 0  2  0  0  0  1 |  0  0  0  0  0  1  0  0  0  0  2 0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  * |  0  0  0  0  0  1 0  0  1  0 0
 0  1  1  0  0  1 |  0  0  0  0  0  0  1  0  0  0  1 0  1  0  0  0  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 64  *  *  *  *  *  *  *  * |  0  1  0  0  0  1 0  0  0  0 0  gyepips 3rd lacing bottom-up
 0  1  0  1  2  0 |  0  0  0  0  0  0  0  1  0  1  0 0  0  1  0  1  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 64  *  *  *  *  *  *  * |  0  0  0  1  0  0 0  1  0  0 0
 0  1  0  1  1  0 |  0  0  0  0  0  0  0  0  1  1  0 0  0  1  0  0  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 64  *  *  *  *  *  * |  0  0  0  0  0  0 0  1  0  1 0
 0  1  0  1  0  1 |  0  0  0  0  0  0  0  0  1  0  1 0  0  0  1  0  0  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 64  *  *  *  *  * |  0  0  0  0  0  0 0  0  1  1 0
 0  1  0  0  1  1 |  0  0  0  0  0  0  0  0  0  1  1 0  0  0  0  0  1  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 64  *  *  *  * |  0  1  0  0  0  0 0  0  0  1 0  gyepips 2nd lacing top-down
 0  0  1  0  0  2 |  0  0  0  0  0  0  0  0  0  0  0 0  2  0  0  0  0  1  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 16  *  *  * |  0  2  0  0  0  0 0  0  0  0 0  gyepips opposite lacing top-down
 0  0  0  1  1  1 |  0  0  0  0  0  0  0  0  0  0  0 0  0  1  1  0  1  0  0 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 64  *  * |  0  1  0  0  0  0 0  0  0  1 0  gyepips near roofs
 0  0  0  0  1  2 |  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  2  0  1 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32  * |  0  2  0  0  0  0 0  0  0  0 0  gyepips lateral roofs
 0  0  0  0  0  3 |  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  1  2 | *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32 |  0  1  0  0  0  0 0  0  0  0 1  gyepips far roof
------------------+---------------------------------------------------------+------------------------------------------------------------------------+-------------------------------
 4  4  2  0  0  0 |  4  4  0  0  2  0  4  0  0  0  0 1  0  0  0  0  0  0  0 | 1  2  2  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 16  *  *  *  *  * *  *  *  * *  pip (light yellow)
 2  2  1  1  2  3 |  1  2  2  2  0  0  2  0  0  2  2 0  2  2  1  0  4  1  2 | 0  1  0  1  0  2  2  0  0  0  0  0  0  0  0  2  0  0  0  2  1  2  2  1 |  * 32  *  *  *  * *  *  *  * *  gyepip (light green)
 2  2  0  1  0  0 |  1  2  2  0  1  0  0  2  0  0  0 0  0  0  0  0  0  0  0 | 0  0  1  1  2  0  0  0  0  0  0  0  1  0  0  0  0  0  0  0  0  0  0  0 |  *  * 32  *  *  * *  *  *  * *  squippy (purple)
 1  1  0  1  2  0 |  0  1  1  2  0  0  0  1  0  1  0 0  0  1  0  1  0  0  0 | 0  0  0  0  1  1  1  1  0  0  0  0  0  0  0  0  1  0  0  0  0  0  0  0 |  *  *  * 64  *  * *  *  *  * *  squippy (lemmon green)
 0  4  2  0  0  0 |  0  0  0  0  2  2  4  0  0  0  0 1  0  0  0  0  0  0  0 | 0  0  0  0  0  0  0  0  1  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0 |  *  *  *  * 16  * *  *  *  * *  trip (pink)
 0  2  1  0  0  1 |  0  0  0  0  0  1  2  0  0  0  2 0  1  0  0  0  0  0  0 | 0  0  0  0  0  0  0  0  0  0  1  0  0  0  1  2  0  0  0  0  0  0  0  0 |  *  *  *  *  * 32 *  *  *  * *  tet (yellow)
 0  8  0  4  0  0 |  0  0  0  0  4  4  0  8  8  0  0 0  0  0  0  0  0  0  0 | 0  0  0  0  0  0  0  0  2  0  0  4  4  4  0  0  0  0  0  0  0  0  0  0 |  *  *  *  *  *  * 8  *  *  * *  co (brown)
 0  2  0  2  2  0 |  0  0  0  0  0  0  0  2  2  2  0 0  0  2  0  1  0  0  0 | 0  0  0  0  0  0  0  0  0  0  0  1  0  0  0  0  2  2  0  0  0  0  0  0 |  *  *  *  *  *  * * 32  *  * *  trip (light blue)
 0  2  0  1  0  1 |  0  0  0  0  0  1  0  0  2  0  2 0  0  0  1  0  0  0  0 | 0  0  0  0  0  0  0  0  0  0  0  0  0  1  1  0  0  0  2  0  0  0  0  0 |  *  *  *  *  *  * *  * 32  * *  tet (red)
 0  1  0  1  1  1 |  0  0  0  0  0  0  0  0  1  1  1 0  0  1  1  0  1  0  0 | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  1  1  0  1  0  0 |  *  *  *  *  *  * *  *  * 64 *  tet (yellow)
 0  0  0  0  0  4 |  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  2  4 | 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4 |  *  *  *  *  *  * *  *  *  * 8  tet (blue)