Acronym ...
Name vertex figure of great spinocelliprismated penteract
Cross sections
 ©
Circumradius sqrt[(138-6 sqrt(2))/153] = 0.920055
General of army vertex figure of getitdin
Pattern
 a   b
  c
                              g
d     e
  f

Incidence matrix

3 * * | 2 1 2 1 0 | 1 2 2 2 1 2 | 1 1 2 2  a
* 3 * | 0 1 2 0 1 | 0 2 1 0 1 2 | 1 0 2 1  d
* * 1 | 0 0 0 3 3 | 0 0 0 3 3 6 | 0 1 3 3  g
------+-----------+-------------+--------
2 0 0 | 3 * * * * | 1 0 1 1 0 0 | 1 1 0 1  ab x
1 1 0 | * 3 * * * | 0 2 0 0 1 0 | 1 0 2 0  ad x(8/3)
1 1 0 | * * 6 * * | 0 1 1 0 0 1 | 1 0 1 1  ae q
1 0 1 | * * * 3 * | 0 0 0 2 1 2 | 0 1 2 2  ag h
0 1 1 | * * * * 3 | 0 0 0 0 1 2 | 0 0 2 1  dg q
------+-----------+-------------+--------
3 0 0 | 3 0 0 0 0 | 1 * * * * * | 1 1 0 0  abc xxx verf(tet)
2 2 0 | 0 2 2 0 0 | * 3 * * * * | 1 0 1 0  aebd x(8/3)q(-x(8/3))(-q) verf(groh)
2 1 0 | 1 0 2 0 0 | * * 3 * * * | 1 0 0 1  abf xqq verf(trip)
2 0 1 | 1 0 0 2 0 | * * * 3 * * | 0 1 0 1  abg xhh verf(tut)
1 1 1 | 0 1 0 1 1 | * * * * 3 * | 0 0 2 0  adg x(8/3)qh verf(quitco)
1 1 1 | 0 0 1 1 1 | * * * * * 6 | 0 0 1 1  aeg qqh verf(hip)
------+-----------+-------------+--------
3 3 0 | 3 3 6 0 0 | 1 3 3 0 0 0 | 1 * * *  abcdef verf(gnappoth)
3 0 1 | 3 0 0 3 0 | 1 0 0 3 0 0 | * 1 * *  abcg verf(tip)
2 2 1 | 0 2 2 2 2 | 0 1 0 0 2 2 | * * 3 *  abdeg verf(girpdo)
2 1 1 | 1 0 2 2 1 | 0 0 1 1 0 2 | * * * 3  abfg verf(tuttip)

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