Acronym ...
Name thawro-wedged 1/6-luna of hexacosachoron
Circumradius ...
Lace city
in approx. ASCII-art
        o3o        
                   
x3o   o3f f3o   o3x
                   
                   
   f3x       x3f   
                   
     o3F   F3o     
                   
                   
        x3x        
Confer
uniform relative:
ex  
related CRFs:
thawro-wedged 2/6-luna of ex   thawrorh  
general polytopal classes:
luna  

Sadly this luna would not be convex. This is because the part of the lace city, which is Fo3oF&#f, would feature its f-edges to the convex hull. – These f-edges are covered differently, by according incident pentagons each, both at the thawro-wedged 2/6-luna of ex and at the thawrorh, which thus become convex again.

For sure this polychoron could be diminished at the top vertex of the lace city, cutting off an ikepy. This then would result in the multi-wedge dim. thawro-wedged 1/6-luna of ex (which so wouldn't be convex for the same reason).


Incidence matrix

6 *  * * * * | 2  2  2  0  0 0 0 0  0  0  0 0  0 0 0 0 0 | 1 2 2  2  2 1 0 0  0  0  0 0 0  0  0  0  0 0 0 0  0  0 0 0 | 2 2  2 0 0  0 0 0  0 0 0  0  at x3x (of l.c.) ones
* 6  * * * * | 0  2  0  2  2 1 0 0  0  0  0 0  0 0 0 0 0 | 0 1 0  2  2 0 1 1  2  2  2 0 0  0  0  0  0 0 0 0  0  0 0 0 | 1 1  2 1 1  2 0 0  0 0 0  0  at o3F (of l.c.) ones
* * 12 * * * | 0  0  1  1  1 0 1 1  1  1  1 0  0 0 0 0 0 | 0 0 1  1  1 1 1 1  2  1  1 1 1  2  1  1  1 0 0 0  0  0 0 0 | 1 1  2 1 1  2 1 1  1 0 0  0  at f3x (of l.c.) ones
* *  * 6 * * | 0  0  0  0  0 0 0 0  2  0  0 2  2 1 1 0 0 | 0 0 0  0  0 0 2 0  0  0  0 1 0  0  2  2  0 1 2 2  2  2 1 0 | 1 0  0 2 0  0 1 0  2 1 2  2  at x3o (of l.c.) ones
* *  * * 6 * | 0  0  0  0  0 1 0 0  0  2  2 0  2 1 0 2 1 | 0 0 0  0  0 0 0 0  0  2  2 0 1  2  2  2  4 0 1 0  4  2 1 2 | 0 0  0 1 1  2 1 2  4 0 1  4  at o3f (of l.c.) ones
* *  * * * 1 | 0  0  0  0  0 0 0 0  0  0  0 0  0 0 6 0 6 | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  0  0  0 0 0 6  0 12 6 6 | 0 0  0 0 0  0 0 0  0 2 6 12  at o3o (of l.c.) one
-------------+-------------------------------------------+------------------------------------------------------------+----------------------------
2 0  0 0 0 0 | 6  *  *  *  * * * *  *  *  * *  * * * * * | 1 1 1  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
1 1  0 0 0 0 | * 12  *  *  * * * *  *  *  * *  * * * * * | 0 1 0  1  1 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
1 0  1 0 0 0 | *  * 12  *  * * * *  *  *  * *  * * * * * | 0 0 1  1  1 1 0 0  0  0  0 0 0  0  0  0  0 0 0 0  0  0 0 0 | 1 1  2 0 0  0 0 0  0 0 0  0
0 1  1 0 0 0 | *  *  * 12  * * * *  *  *  * *  * * * * * | 0 0 0  1  0 0 1 0  1  1  0 0 0  0  0  0  0 0 0 0  0  0 0 0 | 1 0  1 1 0  1 0 0  0 0 0  0  of each thawro
0 1  1 0 0 0 | *  *  *  * 12 * * *  *  *  * *  * * * * * | 0 0 0  0  1 0 0 1  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  between thawroes
0 1  0 0 1 0 | *  *  *  *  * 6 * *  *  *  * *  * * * * * | 0 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 1 1  2 0 0  0 0 0  0  near
0 0  2 0 0 0 | *  *  *  *  * * 6 *  *  *  * *  * * * * * | 0 0 1  0  0 0 0 1  0  0  0 1 1  0  0  0  0 0 0 0  0  0 0 0 | 1 1  0 0 1  0 1 0  0 0 0  0  of each thawro
0 0  2 0 0 0 | *  *  *  *  * * * 6  *  *  * *  * * * * * | 0 0 0  0  0 1 0 0  2  0  0 0 0  2  0  0  0 0 0 0  0  0 0 0 | 0 0  2 0 0  2 0 1  0 0 0  0  between thawroes
0 0  1 1 0 0 | *  *  *  *  * * * * 12  *  * *  * * * * * | 0 0 0  0  0 0 1 0  0  0  0 1 0  0  1  1  0 0 0 0  0  0 0 0 | 1 0  0 1 0  0 1 0  1 0 0  0
0 0  1 0 1 0 | *  *  *  *  * * * *  * 12  * *  * * * * * | 0 0 0  0  0 0 0 0  0  1  0 0 0  1  1  0  1 0 0 0  0  0 0 0 | 0 0  0 1 0  1 0 1  1 0 0  0  peppy lacings (near)
0 0  1 0 1 0 | *  *  *  *  * * * *  *  * 12 *  * * * * * | 0 0 0  0  0 0 0 0  0  0  1 0 1  1  0  1  1 0 0 0  0  0 0 0 | 0 0  0 0 1  1 1 1  1 0 0  0  far
0 0  0 2 0 0 | *  *  *  *  * * * *  *  *  * 6  * * * * * | 0 0 0  0  0 0 1 0  0  0  0 0 0  0  0  0  0 1 1 1  0  0 0 0 | 1 0  0 1 0  0 0 0  0 1 1  0
0 0  0 1 1 0 | *  *  *  *  * * * *  *  *  * * 12 * * * * | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  1  0  0 0 1 0  1  1 0 0 | 0 0  0 1 0  0 0 0  1 0 1  1  near
0 0  0 1 1 0 | *  *  *  *  * * * *  *  *  * *  * 6 * * * | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  0  2  0 0 0 0  2  0 1 0 | 0 0  0 0 0  0 1 0  2 0 0  2  far
0 0  0 1 0 1 | *  *  *  *  * * * *  *  *  * *  * * 6 * * | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  0  0  0 0 0 2  0  2 1 0 | 0 0  0 0 0  0 0 0  0 1 2  2
0 0  0 0 2 0 | *  *  *  *  * * * *  *  *  * *  * * * 6 * | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  0  0  2 0 0 0  2  0 0 1 | 0 0  0 0 0  0 0 1  2 0 0  2
0 0  0 0 1 1 | *  *  *  *  * * * *  *  *  * *  * * * * 6 | 0 0 0  0  0 0 0 0  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 1  4
-------------+-------------------------------------------+------------------------------------------------------------+----------------------------
6 0  0 0 0 0 | 6  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
2 1  0 0 0 0 | 1  2  0  0  0 0 0 0  0  0  0 0  0 0 0 0 0 | * 6 *  *  * * * *  *  *  * * *  *  *  *  * * * *  *  * * * | 1 1  0 0 0  0 0 0  0 0 0  0
2 0  2 0 0 0 | 1  0  2  0  0 0 1 0  0  0  0 0  0 0 0 0 0 | * * 6  *  * * * *  *  *  * * *  *  *  *  * * * *  *  * * * | 1 1  0 0 0  0 0 0  0 0 0  0
1 1  1 0 0 0 | 0  1  1  1  0 0 0 0  0  0  0 0  0 0 0 0 0 | * * * 12  * * * *  *  *  * * *  *  *  *  * * * *  *  * * * | 1 0  1 0 0  0 0 0  0 0 0  0  of each thawro
1 1  1 0 0 0 | 0  1  1  0  1 0 0 0  0  0  0 0  0 0 0 0 0 | * * *  * 12 * * *  *  *  * * *  *  *  *  * * * *  *  * * * | 0 1  1 0 0  0 0 0  0 0 0  0  between thawroes
1 0  2 0 0 0 | 0  0  2  0  0 0 0 1  0  0  0 0  0 0 0 0 0 | * * *  *  * 6 * *  *  *  * * *  *  *  *  * * * *  *  * * * | 0 0  2 0 0  0 0 0  0 0 0  0
0 1  2 2 0 0 | 0  0  0  2  0 0 0 0  2  0  0 1  0 0 0 0 0 | * * *  *  * * 6 *  *  *  * * *  *  *  *  * * * *  *  * * * | 1 0  0 1 0  0 0 0  0 0 0  0
0 1  2 0 0 0 | 0  0  0  0  2 0 1 0  0  0  0 0  0 0 0 0 0 | * * *  *  * * * 6  *  *  * * *  *  *  *  * * * *  *  * * * | 0 1  0 0 1  0 0 0  0 0 0  0  at squippy (para)
0 1  2 0 0 0 | 0  0  0  1  1 0 0 1  0  0  0 0  0 0 0 0 0 | * * *  *  * * * * 12  *  * * *  *  *  *  * * * *  *  * * * | 0 0  1 0 0  1 0 0  0 0 0  0
0 1  1 0 1 0 | 0  0  0  1  0 1 0 0  0  1  0 0  0 0 0 0 0 | * * *  *  * * * *  * 12  * * *  *  *  *  * * * *  *  * * * | 0 0  0 1 0  1 0 0  0 0 0  0
0 1  1 0 1 0 | 0  0  0  0  1 1 0 0  0  0  1 0  0 0 0 0 0 | * * *  *  * * * *  *  * 12 * *  *  *  *  * * * *  *  * * * | 0 0  0 0 1  1 0 0  0 0 0  0
0 0  2 1 0 0 | 0  0  0  0  0 0 1 0  2  0  0 0  0 0 0 0 0 | * * *  *  * * * *  *  *  * 6 *  *  *  *  * * * *  *  * * * | 1 0  0 0 0  0 1 0  0 0 0  0
0 0  2 0 1 0 | 0  0  0  0  0 0 1 0  0  0  2 0  0 0 0 0 0 | * * *  *  * * * *  *  *  * * 6  *  *  *  * * * *  *  * * * | 0 0  0 0 1  0 1 0  0 0 0  0  connecting one thawro to far f3o vertex
0 0  2 0 1 0 | 0  0  0  0  0 0 0 1  0  1  1 0  0 0 0 0 0 | * * *  *  * * * *  *  *  * * * 12  *  *  * * * *  *  * * * | 0 0  0 0 0  1 0 1  0 0 0  0  between thawroes
0 0  1 1 1 0 | 0  0  0  0  0 0 0 0  1  1  0 0  1 0 0 0 0 | * * *  *  * * * *  *  *  * * *  * 12  *  * * * *  *  * * * | 0 0  0 1 0  0 0 0  1 0 0  0  with near o3f vertex
0 0  1 1 1 0 | 0  0  0  0  0 0 0 0  1  0  1 0  0 1 0 0 0 | * * *  *  * * * *  *  *  * * *  *  * 12  * * * *  *  * * * | 0 0  0 0 0  0 1 0  1 0 0  0  with far f3o vertex
0 0  1 0 2 0 | 0  0  0  0  0 0 0 0  0  1  1 0  0 0 0 1 0 | * * *  *  * * * *  *  *  * * *  *  *  * 12 * * *  *  * * * | 0 0  0 0 0  0 0 1  1 0 0  0
0 0  0 3 0 0 | 0  0  0  0  0 0 0 0  0  0  0 3  0 0 0 0 0 | * * *  *  * * * *  *  *  * * *  *  *  *  * 2 * *  *  * * * | 1 0  0 0 0  0 0 0  0 1 0  0
0 0  0 2 1 0 | 0  0  0  0  0 0 0 0  0  0  0 1  2 0 0 0 0 | * * *  *  * * * *  *  *  * * *  *  *  *  * * 6 *  *  * * * | 0 0  0 1 0  0 0 0  0 0 1  0
0 0  0 2 0 1 | 0  0  0  0  0 0 0 0  0  0  0 1  0 0 2 0 0 | * * *  *  * * * *  *  *  * * *  *  *  *  * * * 6  *  * * * | 0 0  0 0 0  0 0 0  0 1 1  0
0 0  0 1 2 0 | 0  0  0  0  0 0 0 0  0  0  0 0  1 1 0 1 0 | * * *  *  * * * *  *  *  * * *  *  *  *  * * * * 12  * * * | 0 0  0 0 0  0 0 0  1 0 0  1
0 0  0 1 1 1 | 0  0  0  0  0 0 0 0  0  0  0 0  1 0 1 0 1 | * * *  *  * * * *  *  *  * * *  *  *  *  * * * *  * 12 * * | 0 0  0 0 0  0 0 0  0 0 1  1  near
0 0  0 1 1 1 | 0  0  0  0  0 0 0 0  0  0  0 0  0 1 1 0 1 | * * *  *  * * * *  *  *  * * *  *  *  *  * * * *  *  * 6 * | 0 0  0 0 0  0 0 0  0 0 0  2  far
0 0  0 0 2 1 | 0  0  0  0  0 0 0 0  0  0  0 0  0 0 0 1 2 | * * *  *  * * * *  *  *  * * *  *  *  *  * * * *  *  * * 6 | 0 0  0 0 0  0 0 0  0 0 0  2
-------------+-------------------------------------------+------------------------------------------------------------+----------------------------
6 3  6 3 0 0 | 6  6  6  6  0 0 3 0  6  0  0 3  0 0 0 0 0 | 1 3 3  6  0 0 3 0  0  0  0 3 0  0  0  0  0 1 0 0  0  0 0 0 | 2 *  * * *  * * *  * * *  *  thawro
2 1  2 0 0 0 | 1  2  2  0  2 0 1 0  0  0  0 0  0 0 0 0 0 | 0 1 1  0  2 0 0 1  0  0  0 0 0  0  0  0  0 0 0 0  0  0 0 0 | * 6  * * *  * * *  * * *  *  squippy
1 1  2 0 0 0 | 0  1  2  1  1 0 0 1  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  0 0 0 0  0  0 0 0 | * * 12 * *  * * *  * * *  *  tet
0 1  2 2 1 0 | 0  0  0  2  0 1 0 0  2  2  0 1  2 0 0 0 0 | 0 0 0  0  0 0 1 0  0  2  0 0 0  0  2  0  0 0 1 0  0  0 0 0 | * *  * 6 *  * * *  * * *  *  peppy
0 1  2 0 1 0 | 0  0  0  0  2 1 1 0  0  0  2 0  0 0 0 0 0 | 0 0 0  0  0 0 0 1  0  0  2 0 1  0  0  0  0 0 0 0  0  0 0 0 | * *  * * 6  * * *  * * *  *  tet  at thawro's horizontal {4}-edge
0 1  2 0 1 0 | 0  0  0  1  1 1 0 1  0  1  1 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  0 0 0 | * *  * * * 12 * *  * * *  *  tet  with inter-thawro's upper {4}-vertex edge
0 0  2 1 1 0 | 0  0  0  0  0 0 1 0  2  0  2 0  0 1 0 0 0 | 0 0 0  0  0 0 0 0  0  0  0 1 1  0  0  2  0 0 0 0  0  0 0 0 | * *  * * *  * 6 *  * * *  *  tet  with far f3o vertex
0 0  2 0 2 0 | 0  0  0  0  0 0 0 1  0  2  2 0  0 0 0 1 0 | 0 0 0  0  0 0 0 0  0  0  0 0 0  2  0  0  2 0 0 0  0  0 0 0 | * *  * * *  * * 6  * * *  *  tet  between thawroes
0 0  1 1 2 0 | 0  0  0  0  0 0 0 0  1  1  1 0  1 1 0 1 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 | * *  * * *  * * * 12 * *  *  tet
0 0  0 3 0 1 | 0  0  0  0  0 0 0 0  0  0  0 3  0 0 3 0 0 | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  0  0  0 1 0 3  0  0 0 0 | * *  * * *  * * *  * 2 *  *  tet
0 0  0 2 1 1 | 0  0  0  0  0 0 0 0  0  0  0 1  2 0 2 0 1 | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  0  0  0 0 1 1  0  2 0 0 | * *  * * *  * * *  * * 6  *  tet
0 0  0 1 2 1 | 0  0  0  0  0 0 0 0  0  0  0 0  1 1 1 1 2 | 0 0 0  0  0 0 0 0  0  0  0 0 0  0  0  0  0 0 0 0  1  1 1 1 | * *  * * *  * * *  * * * 12  tet

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