o2x         o2x                    		where
                                N                      		F = f+x = ff
          o2o       x2F   f2x   x2F       o2o          		V = 2f
                          E     A         H            		A = F+x = f+2x
                                                       		B = V+x = 2f+x = fff
    x2x   f2F       F2o   o2A   F2o       f2F   x2x    
                          F     C         Q     J      
    o2F   F2x       f2A         f2A       F2x   o2F    
                                B         G     K      
                                                       
o2x f2o   x2A      Vo2xB  F2F  Vo2xB      x2A   f2o o2x
                          D     OP        I     L   M  
                                                       
    o2F   F2x       f2A         f2A       F2x   o2F    
                                                       
    x2x   f2F       F2o   o2A   F2o       f2F   x2x    
                                                       
                                                       
          o2o       x2F   f2x   x2F       o2o          
                                                       
                    o2x         o2x                    

This polychoron is obtained from ex = ((oooxxxfffFFFVooof FxfoFfxFofxooVoof xfFFfoFoxxofooVof fFxfoFoxFofxoooVf))&#zx. There edge flips are applied to the first node each at layers D, E, and F (all there applicable cases), and likewise to the fourth node each at layers C, H, and L (all there applicable cases), providing thus the kaleido-faceting ((ooo(-x)(-x)(-x)fffFFFVooof FxfoFfxFofxooVoof xfFFfoFoxxofooVof fF(-x)foFo(-x)Fof(-x)oooVf))&#zx. Then a Stott expansion to those first and fourth nodes (simultanuously at all layers) is applied.

As a matter of fact this polychoron allows for further chopping off 4 bilbiro wedges, the according wedge tops being M and P respectively. Its outcome then happens to be ((xxxoooFFFAAA.xx.F FxfoFfxFofxo.Vo.f xfFFfoFoxxof.oV.f FAoFxAxoAxFo.xx.F))&#zx.

Incidence matrix according to Dynkin symbol

((xxxoooFFFAAABxxxF FxfoFfxFofxooVoof xfFFfoFoxxofooVof FAoFxAxoAxFoxxxBF))&#zx   → all existing heights = 0

  o................ o................ o................ o................       & | 32  *  * * *  * *  *  * |  1  1  1  1  1  1  1  0  0  0  0  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | 1  1  1  1  1  1  1  1  1  1  1  1  1 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  1  1  2  1 1  1 1 0  0  0 0 0 0 0  A(1234) = G(4321)
  .o............... .o............... .o............... .o...............       & |  * 32  * * *  * *  *  * |  0  0  1  0  0  0  0  1  1  1  1  1  1  1 0  0  0  0  0 0  0  0  0 0 0 0 | 0  1  1  1  0  0  0  0  0  1  0  0  0 1  1  1  1  1  1  1  1  1  1  0  0  0 0 0  0  0 0 0 |  1  1  1  0 0  1 0 1  1  1 1 0 0 0  B(1234) = J(4321)
  ..o.............. ..o.............. ..o.............. ..o..............       & |  *  * 16 * *  * *  *  * |  0  0  0  2  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  2  1  2  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  3  2  1 0 0  0  0 0 0 |  0  0  3  1 0  0 0 0  0  0 0 1 1 0  C(1234) = E(4321)
  ...o............. ...o............. ...o............. ...o.............       & |  *  *  * 8 *  * *  *  * |  0  0  0  0  0  0  0  0  0  4  0  0  0  0 0  0  0  2  0 0  0  0  0 0 0 0 | 0  0  0  0  0  0  0  0  0  4  0  0  0 0  2  2  0  0  0  0  0  0  0  0  0  0 1 0  0  0 0 0 |  0  0  2  0 0  2 0 1  0  0 0 0 0 0  D(1234) = H(4321)
  .....o........... .....o........... .....o........... .....o...........       & |  *  *  * * 8  * *  *  * |  0  0  0  0  4  0  0  0  0  0  4  0  0  0 0  0  0  0  2 0  0  0  0 0 0 0 | 0  0  4  0  0  0  0  2  2  0  0  0  0 0  0  0  2  4  0  0  0  0  0  0  0  0 0 1  0  0 0 0 |  2  2  0  0 1  0 0 0  2  0 0 0 0 0  F(1234) = L(4321)
  ........o........ ........o........ ........o........ ........o........       & |  *  *  * * * 16 *  *  * |  0  0  0  0  0  0  0  0  0  0  0  2  0  0 0  0  0  0  0 1  2  1  2 0 0 0 | 0  0  0  0  0  0  0  0  1  0  0  0  0 0  0  0  0  0  1  2  2  0  0  0  0  0 0 0  3  2 1 0 |  0  3  0  0 0  1 0 0  0  1 0 0 0 1  I(1234) = K(4321)
  ............o.... ............o.... ............o.... ............o....       & |  *  *  * * *  * 8  *  * |  0  0  0  0  0  0  0  0  0  0  0  0  4  0 0  0  0  0  2 0  0  2  0 1 0 0 | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  4  0  4  0  4  2  0  0  0 0 2  0  0 1 0 |  0  2  0  0 0  0 0 0  4  2 2 0 0 0  M(1234) = P(4321)
  .............o... .............o... .............o... .............o...       & |  *  *  * * *  * * 16  * |  0  0  0  0  0  2  0  0  0  0  0  0  0  0 0  0  2  1  0 0  0  0  0 0 1 1 | 0  0  0  0  0  0  2  0  0  2  0  2  1 0  0  0  0  0  0  0  0  0  0  0  2  2 1 0  0  0 0 1 |  0  0  2  2 0  1 1 0  0  0 0 0 2 0  N(1234) = O(4321)
  ................o ................o ................o ................o         |  *  *  * * *  * *  * 16 |  0  0  0  0  0  0  2  0  0  0  0  0  0  2 0  0  0  0  0 0  0  0  2 0 0 0 | 0  0  0  2  1  0  0  0  0  2  2  0  0 0  0  0  0  0  0  0  2  0  0  0  0  0 0 0  0  1 0 0 |  0  2  2  0 0  2 0 0  0  0 0 0 0 0  Q(1234) = Q(4321)
----------------------------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------+-------------------------------------------------------------------------------------------+-----------------------------------
  x................ ................. ................. .................       & |  2  0  0 0 0  0 0  0  0 | 16  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 1  1  0  0  0  1  0  1  0  0  0  1  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  1  0  1  1 1  0 1 0  0  0 0 0 0 0
  ................. ................. x................ .................       & |  2  0  0 0 0  0 0  0  0 |  * 16  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 1  0  0  0  0  0  0  0  1  0  1  0  1 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  0  1  0  0 1  1 1 0  0  0 0 0 0 0
  oo............... oo............... oo............... oo...............  &#x  & |  1  1  0 0 0  0 0  0  0 |  *  * 32  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  1  1  1  0  0  0  0  0  0  0  0  0 0  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 0 0 0 0
  o...o............ o...o............ o...o............ o...o............  &#x  & |  1  0  1 0 0  0 0  0  0 |  *  *  * 32  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  0  0  0  1  1  1  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  0  0  2  1 0  0 0 0  0  0 0 0 0 0
  o....o........... o....o........... o....o........... o....o...........  &#x  & |  1  0  0 0 1  0 0  0  0 |  *  *  *  * 32  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  0  1  0  0  0  0  1  1  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  1  1  0  0 1  0 0 0  0  0 0 0 0 0
  o............o... o............o... o............o... o............o...  &#x  & |  1  0  0 0 0  0 0  1  0 |  *  *  *  *  * 32  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  0  0  0  0  0  1  0  0  1  0  1  1 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  0  0  1  1 0  1 1 0  0  0 0 0 0 0
  o...............o o...............o o...............o o...............o  &#x  & |  1  0  0 0 0  0 0  0  1 |  *  *  *  *  *  * 32  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  0  0  1  1  0  0  0  0  1  1  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 0  1 0 0  0  0 0 0 0 0
  .x............... ................. ................. .................       & |  0  2  0 0 0  0 0  0  0 |  *  *  *  *  *  *  * 16  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  1  0  0  0  0  0  0  0  0  0  0  0 1  1  0  1  0  0  0  0  1  0  0  0  0 0 0  0  0 0 0 |  1  0  1  0 0  0 0 1  1  0 1 0 0 0
  ................. .x............... ................. .................       & |  0  2  0 0 0  0 0  0  0 |  *  *  *  *  *  *  *  * 16  *  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 1  0  1  0  0  1  0  0  0  1  0  0  0 0 0  0  0 0 0 |  0  0  0  0 0  1 0 1  0  1 1 0 0 0
  .o.o............. .o.o............. .o.o............. .o.o.............  &#x  & |  0  1  0 1 0  0 0  0  0 |  *  *  *  *  *  *  *  *  * 32  *  *  *  * *  *  *  *  * *  *  *  * * * * | 0  0  0  0  0  0  0  0  0  1  0  0  0 0  1  1  0  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  0  0  1  0 0  1 0 1  0  0 0 0 0 0
  .o...o........... .o...o........... .o...o........... .o...o...........  &#x  & |  0  1  0 0 1  0 0  0  0 |  *  *  *  *  *  *  *  *  *  * 32  *  *  * *  *  *  *  * *  *  *  * * * * | 0  0  1  0  0  0  0  0  0  0  0  0  0 0  0  0  1  1  0  0  0  0  0  0  0  0 0 0  0  0 0 0 |  1  1  0  0 0  0 0 0  1  0 0 0 0 0
  .o......o........ .o......o........ .o......o........ .o......o........  &#x  & |  0  1  0 0 0  1 0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 32  *  * *  *  *  *  * *  *  *  * * * * | 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  0  0 0 0 |  0  1  0  0 0  1 0 0  0  1 0 0 0 0
  .o.............o. .o.............o. .o.............o. .o.............o.  &#x  & |  0  1  0 0 0  0 1  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 32  * *  *  *  *  * *  *  *  * * * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  1  0  1  0  1  1  0  0  0 0 0  0  0 0 0 |  0  1  0  0 0  0 0 0  1  1 1 0 0 0
  .o..............o .o..............o .o..............o .o..............o  &#x  & |  0  1  0 0 0  0 0  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  * 32 *  *  *  *  * *  *  *  * * * * | 0  0  0  1  0  0  0  0  0  1  0  0  0 0  0  0  0  0  0  0  1  0  0  0  0  0 0 0  0  0 0 0 |  0  1  1  0 0  1 0 0  0  0 0 0 0 0
  ..x.............. ................. ................. .................       & |  0  0  2 0 0  0 0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 8  *  *  *  * *  *  *  * * * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  2  2  0 0 0  0  0 0 0 |  0  0  2  0 0  0 0 0  0  0 0 1 1 0
  ..o.o............ ..o.o............ ..o.o............ ..o.o............  &#x    |  0  0  2 0 0  0 0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * * 16  *  *  * *  *  *  * * * * | 0  0  0  0  1  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  2  0  0 0 0  0  0 0 0 |  0  0  2  0 0  0 0 0  0  0 0 1 0 0
  ..o...........o.. ..o...........o.. ..o...........o.. ..o...........o..  &#x  & |  0  0  1 0 0  0 0  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  * 32  *  * *  *  *  * * * * | 0  0  0  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  0 0 0 |  0  0  1  1 0  0 0 0  0  0 0 0 1 0
  ...o..........o.. ...o..........o.. ...o..........o.. ...o..........o..  &#x  & |  0  0  0 1 0  0 0  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * 16  * *  *  *  * * * * | 0  0  0  0  0  0  0  0  0  2  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 1 0  0  0 0 0 |  0  0  2  0 0  1 0 0  0  0 0 0 0 0
  .....o.........o. .....o.........o. .....o.........o. .....o.........o.  &#x  & |  0  0  0 0 1  0 1  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  * 16 *  *  *  * * * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  2  0  0  0  0  0  0  0  0 0 1  0  0 0 0 |  0  1  0  0 0  0 0 0  2  0 0 0 0 0
  ................. ................. ........x........ .................       & |  0  0  0 0 0  2 0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * 8  *  *  * * * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  2  0 1 0 |  0  2  0  0 0  0 0 0  0  0 0 0 0 1
  ........o.o...... ........o.o...... ........o.o...... ........o.o......  &#x    |  0  0  0 0 0  2 0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * * 16  *  * * * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  2  1 0 0 |  0  2  0  0 0  0 0 0  0  0 0 0 0 1
  ........o......o. ........o......o. ........o......o. ........o......o.  &#x    |  0  0  0 0 0  1 1  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  * 16  * * * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  2  0  0  0  0  0  0 0 0  0  0 1 0 |  0  2  0  0 0  0 0 0  0  1 0 0 0 0
  ........o.......o ........o.......o ........o.......o ........o.......o  &#x  & |  0  0  0 0 0  1 0  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  * 32 * * * | 0  0  0  0  0  0  0  0  0  0  1  0  0 0  0  0  0  0  0  0  1  0  0  0  0  0 0 0  0  1 0 0 |  0  2  0  0 0  1 0 0  0  0 0 0 0 0
  ................. ................. ................. ............x....       & |  0  0  0 0 0  0 2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * 4 * * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  4  0  0  0  0 0 2  0  0 0 0 |  0  0  0  0 0  0 0 0  4  0 2 0 0 0
  .............x... ................. ................. .................       & |  0  0  0 0 0  0 0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * 8 * | 0  0  0  0  0  0  0  0  0  0  0  2  0 0  0  0  0  0  0  0  0  0  0  0  0  2 0 0  0  0 0 1 |  0  0  0  2 0  0 1 0  0  0 0 0 2 0
  ................. ................. ................. .............x...       & |  0  0  0 0 0  0 0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  *  *  * * * 8 | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  2  0 1 0  0  0 0 1 |  0  0  2  0 0  0 0 0  0  0 0 0 2 0
----------------------------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------+-------------------------------------------------------------------------------------------+-----------------------------------
  x................ ................. x................ .................       & |  4  0  0 0 0  0 0  0  0 |  2  2  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | 8  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  0  0  0  0 1  0 1 0  0  0 0 0 0 0
  xx............... ................. ................. .................  &#x  & |  2  2  0 0 0  0 0  0  0 |  1  0  2  0  0  0  0  1  0  0  0  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | * 16  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  1  0  1  0 0  0 0 0  0  0 0 0 0 0
  oo...o........... oo...o........... oo...o........... oo...o...........  &#x  & |  1  1  0 0 1  0 0  0  0 |  0  0  1  0  1  0  0  0  0  0  1  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | *  * 32  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  1  1  0  0 0  0 0 0  0  0 0 0 0 0
  oo..............o oo..............o oo..............o oo..............o  &#x  & |  1  1  0 0 0  0 0  0  1 |  0  0  1  0  0  0  1  0  0  0  0  0  0  1 0  0  0  0  0 0  0  0  0 0 0 0 | *  *  * 32  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  0  1  1  0 0  0 0 0  0  0 0 0 0 0
  o.o.o.o.........o o.o.o.o.........o o.o.o.o.........o o.o.o.o.........o  &#xr & |  2  0  2 0 0  0 0  0  1 |  0  0  0  2  0  0  2  0  0  0  0  0  0  0 0  1  0  0  0 0  0  0  0 0 0 0 | *  *  *  * 16  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  0  0  2  0 0  0 0 0  0  0 0 0 0 0  cycle (AECGQ)
  x...o............ ................. ................. .................  &#x  & |  2  0  1 0 0  0 0  0  0 |  1  0  0  2  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | *  *  *  *  * 16  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  0  0  1  1 0  0 0 0  0  0 0 0 0 0
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  x....o........... ................. ................. .................  &#x  & |  2  0  0 0 1  0 0  0  0 |  1  0  0  0  2  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | *  *  *  *  *  *  * 16  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  1  0  0  0 1  0 0 0  0  0 0 0 0 0
  ................. ................. x....o........... .................  &#x  & |  2  0  0 0 1  0 0  0  0 |  0  1  0  0  2  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | *  *  *  *  *  *  *  * 16  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  * * * |  0  1  0  0 1  0 0 0  0  0 0 0 0 0
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----------------------------------------------------------------------------------+-------------------------+--------------------------------------------------------------------------+-------------------------------------------------------------------------------------------+-----------------------------------
  xx...o........... ................. ................. .................  &#xr & ♦  2  2  0 0 1  0 0  0  0 |  1  0  2  0  2  0  0  1  0  0  2  0  0  0 0  0  0  0  0 0  0  0  0 0 0 0 | 0  1  2  0  0  0  0  1  0  0  0  0  0 0  0  0  1  0  0  0  0  0  0  0  0  0 0 0  0  0 0 0 | 16  *  *  * *  * * *  *  * * * * *
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  ................. .x......o......o. ................. .................  &#xr & ♦  0  2  0 0 0  1 1  0  0 |  0  0  0  0  0  0  0  0  1  0  0  2  2  0 0  0  0  0  0 0  0  1  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  0  1  0  0  0 0 0  0  0 0 0 |  *  *  *  * *  * * *  * 16 * * * *
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  ................. ........o.x...... ........x.o...... .................  &#x  & ♦  0  0  0 0 0  4 0  0  0 |  0  0  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  0  0  0  0  0  0  0  0 0 0  4  0 0 0 |  *  *  *  * *  * * *  *  * * * * 4

  ABCDEFGHIJKLMNOPQ ABCDEFGHIJKLMNOPQ ABCDEFGHIJKLMNOPQ ABCDEFGHIJKLMNOPQ          A  B  C D F  I M  N  Q
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