sifdahihox

Acronym	sifdahihox
Name	small fissary dodecahedronary hecatonicosihemihexacosachoron
Circumradius	1
Coordinates	(1, 0, 0, 0) & all permutations, all changes of sign (vertex inscribed q-hex) (1/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign (vertex inscribed tes) ((1+sqrt(5))/4, (sqrt(5)-1)/4, 1/4, 0) & all even permutations, all changes of sign (vertex inscribed v-sadi)
General of army	ex
Colonel of regiment	sishi
Face vector	120, 1200, 3000, 420
Confer	2sifdahihox

As abstract polytope sifdahihox is isomorphic to gifdahihox, thereby replacing gike by ike.

This polychoron at least is fissary as its vertex figure is a compound of 6 x(3/2)x(3)5/2oo&#x(6) = (-x)x5/2oo&#h within doe army.

Just as for the oho themselves the hexagons lie diametral in equatorial planes, those oho in here are diametral as well.

Incidence matrix

120 |   20 |   60  30 |  12  30
----+------+----------+--------
  2 | 1200 |    6   3 |   3   6
----+------+----------+--------
  3 |    3 | 2400   * |   1   1
  6 |    6 |    * 600 |   0   2
----+------+----------+--------
 12 |   30 |   20   0 | 120   * gike
 12 |   24 |    8   4 |   * 300 oho

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