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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 inscribedtes) ((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 togifdahihox, thereby replacinggike byike.

This polychoron at least isfissary as its vertex figure is acompound of 6x(3/2)x(3)5/2oo&#x(6) = (-x)x5/2oo&#h withindoe army.

Just as for theoho themselves the hexagons lie diametral in equatorial planes, thoseoho 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 |   * 300oho

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