Acronym sadixhix (old: sixhix)
Name small dodecahedronary hexacosahemihexacosachoron,
compound of 25 ihi (but not gadixhix)
Circumradius 1
General of army ex
Colonel of regiment sishi

Sadixhix and gadixhix both are built from the same components, but within different relative orientations.

Sadixhix occurs in 2 different forms depending on whether the vertices (coincident by 5) will be counted separately (type A), or will be identified (type B).


Incidence matrix

(Type A)

 600 |    8 |   12   12 |   6   6 ||  1
-----+------+-----------+---------++---
   2 | 2400 |    3    3 |   3   3 ||  1
-----+------+-----------+---------++---
   3 |    3 | 2400    * |   1   1 ||  1
   4 |    4 |    * 1800 |   1   1 ||  1
-----+------+-----------+---------++---
  6 |   12 |    4    3 | 600   * ||  1
 12 |   24 |    8    6 |   * 300 ||  1
-----+------+-----------+---------++---
 24 |   96 |   96   72 |  24  12 || 25

(Type B)

 120 |   40 |   48   48 |  30  30 ||  5
-----+------+-----------+---------++---
   2 | 2400 |    3    3 |   3   3 ||  1
-----+------+-----------+---------++---
   3 |    3 | 2400    * |   1   1 ||  1
   4 |    4 |    * 1800 |   1   1 ||  1
-----+------+-----------+---------++---
  6 |   12 |    4    3 | 600   * ||  1
 12 |   24 |    8    6 |   * 300 ||  1
-----+------+-----------+---------++---
 24 |   96 |   96   72 |  24  12 || 25

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