Acronym ...
Name vertex figure of setut
 
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Circumradius sqrt(3)/2 = 0.866025
Vertex figure
  [xredxblueqyellowxredxblueqyellowxredxblueqyellow]/2
  [xredxyellowqbluexredxyellowqbluexredxyellowqblue]/2
  [xblueq-yellowqbluexredxblueqyellowx-blueqyellowq-bluex-redx-blueq-yellow]/0
Face vector 20, 108, 64
Confer
faceting of:
v-doe  

As abstract polytope setut is isomorphic to getut, thereby interchanging the orientation of its thahs. This clearly reoccurs in their vertex figures as well, cf. esp. getut verf.


Incidence matrix

4 *  * |  3  3  3  0  0  0  0  0  0 |  3  3  3  0 0  0  with r triangle underneath
* 4  * |  3  0  0  3  3  0  0  0  0 |  3  3  0  3 0  0  without r triangle underneath
* * 12 |  0  1  1  1  1  2  2  2  2 |  1  1  3  3 1  3
-------+----------------------------+-----------------
1 1  0 | 12  *  *  *  *  *  *  *  * |  1  1  0  0 0  0  x ry
1 0  1 |  * 12  *  *  *  *  *  *  * |  1  0  1  0 0  0  x rb
1 0  1 |  *  * 12  *  *  *  *  *  * |  0  1  1  0 0  0  q by
0 1  1 |  *  *  * 12  *  *  *  *  * |  1  0  0  1 0  0  x rb
0 1  1 |  *  *  *  * 12  *  *  *  * |  0  1  0  1 0  0  q by
0 0  2 |  *  *  *  *  * 12  *  *  * |  0  0  1  0 1  0  x rb
0 0  2 |  *  *  *  *  *  * 12  *  * |  0  0  0  1 0  1  x by
0 0  2 |  *  *  *  *  *  *  * 12  * |  0  0  1  0 0  1  q by connecting to bowtie 1
0 0  2 |  *  *  *  *  *  *  *  * 12 |  0  0  0  1 0  1  q by connecting to bowtie 2
-------+----------------------------+-----------------
1 1  1 |  1  1  0  1  0  0  0  0  0 | 12  *  *  * *  *  x3o      r equit 1
1 1  1 |  1  0  1  0  1  0  0  0  0 |  * 12  *  * *  *  ox&#q    y isot 1
1 0  3 |  0  1  1  0  0  1  0  1  0 |  *  * 12  * *  *  x(-x)&#q b bowtie 1
0 1  3 |  0  0  0  1  1  0  1  0  1 |  *  *  * 12 *  *  x(-x)&#q b bowtie 2
0 0  3 |  0  0  0  0  0  3  0  0  0 |  *  *  *  * 4  *  x3o      r equit 2
0 0  3 |  0  0  0  0  0  0  1  1  1 |  *  *  *  * * 12  ox&#q    y isot 2

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