Acronym ...
Name mono-augmented trigonal mibdi-laced wedge
Circumradius ...
Lace city
in approx. ASCII-art 
    o3o           o3o    
      a                  
     third(o3x)          
x3o          b        x3o
  c                      
           f3o           
    o3x      d    o3x    
      e
Coordinates
    • (1/2, 0, 0, 0)                     & all changes of sign
    (layer x o3o in lace tower description resp. top one in lace city)
    • (0, 1/h, 0, sqrt(5)/2h)
    (layer third(o o3x) in lace tower description resp. single augmentation tip)
    • (f/2, 1/2h, 1/2, F/2h)         & all changes of sign in 1st and 3rd coord.
    • (f/2, -1/h, 0, F/2h)             & all changes of sign in 1st coord.
    (layer f x3o in lace tower description resp. medial one in lace city)
    • (0, f/2h, f/2, B/2h)             & all changes of sign in 3rd coord.
    • (0, -f/h, 0, B/2h)
    (layer o f3o in lace tower description resp. lower central one in lace city)
    • (1/2, 1/h, 0, F/h)               & all changes of sign in 1st coord.
    • (1/2, -1/2h, 1/2, F/h)         & all changes of sign in 1st and 3rd coord.
    (layer x o3x in lace tower description resp. bottom one in lace city)
where f=(1+sqrt(5))/2, h=sqrt(3), F=ff=f+x, B=fff=2f+x
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Face vector 18, 62, 72, 28
Confer
related CRFs:
xfox oxfo3ooox&#xt   xofox ooxfo3oxoox&#xt (tri-augmented 3-mibdi-wedge)  
blend-components:
xfox oxfo3ooox&#xt   mibdipy  

This polychoron is obtained as mono-augmentation of xfox oxfo3ooox&#xt, the trigonal mibdi-laced wedge. In fact it can be seen as the external blend of the latter with a mibdipy. The result still is CRF. (The individual augmentations would be fully independant, similar ones with two or three augmentation tips will exist too.)


Incidence matrix

2 * * * * * * * | 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 1 0 0 0 0 0 0 0 0 0  a3
* 1 * * * * * * | 0 2 0 0 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 4 0 0 2 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 2 0 2 4 2 0 0 0 0 0 0  b1 - augmentation tip
* * 4 * * * * * | 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 1 1 0 0 0 0  c2
* * * 2 * * * * | 0 0 0 1 0 0 0 0 2 0 0 0 1 2 0 0 0 0 0 0 0 | 0 0 1 0 0 2 0 0 0 0 0 1 0 2 0 0 0 2 1 0 0 0 0 0 0 0 0 | 0 2 0 1 0 0 0 1 0 1 0 0 0  c1
* * * * 2 * * * | 0 0 0 0 0 1 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 | 0 1 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 0 0 1 2 1 0 0 0 0 0 | 1 1 0 0 0 2 1 0 2 0 1 0 0  d2
* * * * * 1 * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 4 0 0 0 0 | 0 0 1 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 2 0 0 0 0 0 0 0 2 0 1 0  d1
* * * * * * 2 * | 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 0 0 1 2 0 0 | 0 0 0 0 0 0 0 0 2 2 1 0 1 0 2 0 2 0 0 2 2 0 0 0 2 1 0 | 0 0 0 0 1 2 2 1 2 0 2 0 1  e1
* * * * * * * 4 | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 | 0 1 0 0 0 0 0 1 1 1 1 1 1  e2
----------------+-------------------------------------------+-------------------------------------------------------+--------------------------
2 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * * | 1 2 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 | 2 2 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * * * | 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 0 | 2 0 1 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 0 | * * 4 * * * * * * * * * * * * * * * * * * | 0 1 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 | 1 1 1 1 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 | * * * 2 * * * * * * * * * * * * * * * * * | 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 2 0 1 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 | * * * * 4 * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 1 1 1 0 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 1 0 0 1 0 0 0 | * * * * * 2 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 0 2 1 0 0 0 0 0 0
0 1 0 0 0 0 1 0 | * * * * * * 2 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 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 2 0 0 0 0 0 | * * * * * * * 2 * * * * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 1 0 0 0 0 0
0 0 1 1 0 0 0 0 | * * * * * * * * 4 * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 0 0 1 0 0 0 0 0
0 0 1 0 1 0 0 0 | * * * * * * * * * 4 * * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 0 1 0 0 1 0 0 0 0
0 0 1 0 0 0 1 0 | * * * * * * * * * * 4 * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 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 1 0 0 0 0 1 | * * * * * * * * * * * 4 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 1 1 0 0 0 0
0 0 0 1 0 1 0 0 | * * * * * * * * * * * * 2 * * * * * * * * | 0 0 1 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 1 0 0 0
0 0 0 1 0 0 0 1 | * * * * * * * * * * * * * 4 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 1 0 1 0 0 0
0 0 0 0 1 0 1 0 | * * * * * * * * * * * * * * 4 * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 0 0 0 0 1 1 0 1 0 1 0 0
0 0 0 0 1 0 0 1 | * * * * * * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 | 0 1 0 0 0 0 0 0 1 0 1 0 0
0 0 0 0 0 1 0 1 | * * * * * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 | 0 1 0 0 0 0 0 0 0 1 0 1 0
0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 | 0 0 0 0 0 0 2 0 0 0 2 0 1  aa para
0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 | 0 0 0 0 0 0 0 1 1 0 1 0 1
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 1 1 0 1 0 1 | 0 1 0 0 0 0 0 0 0 0 1 1 1  aa para
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 1 0 0 0 0 1 0 1 1 | 0 0 0 0 0 0 0 1 0 1 0 1 1
----------------+-------------------------------------------+-------------------------------------------------------+--------------------------
2 1 0 0 0 0 0 0 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 0 0 0
2 0 2 0 1 0 0 0 | 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0
2 0 0 2 0 1 0 0 | 1 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | * * 1 * * * * * * * * * * * * * * * * * * * * * * * * | 0 2 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 0
1 0 2 0 0 0 0 0 | 0 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 2 * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 0
0 1 2 0 0 0 0 0 | 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 2 * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 0
0 1 1 0 1 0 0 0 | 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 4 * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 1 0 0 0 0 0 0 0
0 1 1 0 0 0 1 0 | 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 4 * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0 0
0 1 0 0 1 0 1 0 | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * 4 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 0
0 1 0 0 0 0 2 0 | 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * 1 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 2 0 0 0 0 0 0
0 0 2 1 0 0 0 0 | 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 2 * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 1 0 0 0 0 0
0 0 2 0 0 0 1 0 | 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 2 * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 0 0 0
0 0 1 1 0 0 0 1 | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 4 * * * * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0 0 0
0 0 1 0 1 0 1 0 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * 4 * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 0 0
0 0 1 0 1 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 | * * * * * * * * * * * * * * * 4 * * * * * * * * * * * | 0 1 0 0 0 0 0 0 1 0 0 0 0
0 0 1 0 0 0 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 | * * * * * * * * * * * * * * * * 4 * * * * * * * * * * | 0 0 0 0 0 0 0 1 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 1 1 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * * * * 4 * * * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 | * * * * * * * * * * * * * * * * * * 2 * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 0 0 0
0 0 0 0 1 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 | * * * * * * * * * * * * * * * * * * * 2 * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0
0 0 0 0 1 0 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 | * * * * * * * * * * * * * * * * * * * * 4 * * * * * * | 0 0 0 0 0 0 0 0 1 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 2 0 0 0 1 0 | * * * * * * * * * * * * * * * * * * * * * 2 * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 1 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * 2 * * * * | 0 1 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 1 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 | * * * * * * * * * * * * * * * * * * * * * * * 2 * * * | 0 0 0 0 0 0 0 0 0 1 0 1 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 1 2 1 0 | * * * * * * * * * * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 0 0 0 0 1 0 1
0 0 0 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * * * * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 1 0 0 0 0 1
0 0 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 2 2 | * * * * * * * * * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 1 1
----------------+-------------------------------------------+-------------------------------------------------------+--------------------------
2 1 2 0 1 0 0 0 | 1 2 2 0 2 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * *  peppy
2 0 2 2 1 1 0 2 | 1 0 2 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 1 0 | 0 1 1 0 0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 1 1 0 0 0 0 | * 2 * * * * * * * * * * *  mibdi
1 1 2 0 0 0 0 0 | 0 1 2 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * *  tet
1 0 2 1 0 0 0 0 | 0 0 2 1 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 2 * * * * * * * * *  tet
0 1 2 0 0 0 1 0 | 0 0 0 0 2 0 1 1 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 2 * * * * * * * *  tet
0 1 1 0 1 0 1 0 | 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * *  tet
0 1 0 0 1 0 2 0 | 0 0 0 0 0 1 2 0 0 0 0 0 0 0 2 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * 2 * * * * * *  tet
0 0 2 1 0 0 1 2 | 0 0 0 0 0 0 0 1 2 0 2 2 0 2 0 0 0 0 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 2 0 1 0 0 0 0 0 0 1 0 | * * * * * * * 2 * * * * *  oct
0 0 1 0 1 0 1 1 | 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * 4 * * * *  tet
0 0 0 1 0 1 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 1 0 0 0 | * * * * * * * * * 2 * * *  tet
0 0 0 0 1 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 0 0 | * * * * * * * * * * 2 * *  squippy
0 0 0 0 0 1 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 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 2 2 0 0 1 | * * * * * * * * * * * 1 *  squippy
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 1 4 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 2 2 1 | * * * * * * * * * * * * 1  trip

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