Acronym ...
Name vertex figure of great facetosphenary penteract
Cross sections
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Circumradius sqrt[38-6 sqrt(2)]/7 = 0.776106
General of army vertex figure of wavinant = qx ox3oo&#x(8/3)
Pattern
a   b          g
  c
  
d   e
  f            h

Incidence matrix

6 * | 2 2 1 1 | 1 3 2 2  4 | 1 1 3 3  a
* 2 | 0 0 3 3 | 0 0 3 3  6 | 1 1 3 3  g
----+---------+------------+--------
2 0 | 6 * * * | 1 1 1 1  0 | 1 1 1 1  ab x
2 0 | * 6 * * | 0 2 0 0  2 | 0 0 2 2  ae q
1 1 | * * 6 * | 0 0 2 0  2 | 1 0 2 1  aq x(8/3)
1 1 | * * * 6 | 0 0 0 2  2 | 0 1 1 2  ah q
----+---------+------------+--------
3 0 | 3 0 0 0 | 2 * * *  * | 1 1 0 0  abc x3o = verf(tet)
3 0 | 1 2 0 0 | * 6 * *  * | 0 0 1 1  abf xo&#q = verf(trip)
2 1 | 1 0 2 0 | * * 6 *  * | 1 0 1 0  abg xo&#x(8/3) = verf(quith)
2 1 | 1 0 0 2 | * * * 6  * | 0 1 0 1  abh xo&#q = verf(trip)
2 1 | 0 1 1 1 | * * * * 12 | 0 0 1 1  aeg ox(8/3)&#q = verf(stop)
----+---------+------------+--------
3 1 | 3 0 3 0 | 1 0 3 0  0 | 2 * * *  abcg verf(quitit)
3 1 | 3 0 0 3 | 1 0 0 3  0 | * 2 * *  abch verf(tepe)
3 1 | 1 2 2 1 | 0 1 1 0  2 | * * 6 *  abfg verf(quithip)
3 1 | 1 2 1 2 | 0 1 0 1  2 | * * * 6  abfh verf(tistodip)

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