Acronym ...
Name vertex figure of getut
 
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Circumradius sqrt(3)/2 = 0.866025
Vertex figure
  [xredx-blueqyellowxredx-blueqyellowxredx-blueqyellow]
  [xredxyellowq-bluexredxyellowq-bluexredxyellowq-blue]
  [x-blueq-yellowq-bluexredx-blueqyellowxblueqyellowqbluex-redxblueq-yellow]/0
Face vector 20, 108, 64
Confer
faceting of:
v-doe  

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