Acronym sadsadox
Name small disnub dihexacosachoron
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
Vertex figure
Colonel of regiment (is itself not locally convex, but best as possible – uniform polychoral members:
by cells: ike oct
sadsadox 6002400
& others)
Face vector 3600, 28800, 31200, 6000
Confer compound of 10 rox
External
links
hedrondude   polytopewiki   WikiChoron

Infact, the regiment of sadsadox not only contains the compound of 10 rox, but it is itself just the blended version of that one, i.e. its reduction by all completely coincident cells. While blending the compound turns into a single true polychoron again. The ike of rox within the compound become compounds in turn (siddo), while the non-coincident (resp. not being blended out) oct also become non-regular compounds of 2 trigonal antiprisms.

As abstract polytope sadsadox is isomorphic to gadsadox, thereby replacing siddo by sirsido.


Incidence matrix according to Dynkin symbol

3600 |     8    4    4 |    6    12    4    4 |    8    4  verf: 2pip-blend
-----+-----------------+----------------------+----------
   2 | 14400    *    * |    1     1    1    0 |    2    1
   2 |     * 7200    * |    1     2    0    0 |    2    1
   2 |     *    * 7200 |    0     2    0    2 |    2    2
-----+-----------------+----------------------+----------
   3 |     2    1    0 | 7200     *    *    * |    2    0
   3 |     1    1    1 |    * 14400    *    * |    1    1
   3 |     3    0    0 |    *     * 4800    * |    1    1
   3 |     0    0    3 |    *     *    * 4800 |    1    1
-----+-----------------+----------------------+----------
   6 |     6    3    3 |    3     3    1    1 | 4800    *  oct
  12 |    12    6   12 |    0    12    4    4 |    * 1200  ike

3600 |     8    4    4 |    6    12    4    4 |    8   4  verf: 2pip-blend
-----+-----------------+----------------------+---------
   2 | 14400    *    * |    1     1    1    0 |    2   1
   2 |     * 7200    * |    1     2    0    0 |    2   1
   2 |     *    * 7200 |    0     2    0    2 |    2   2
-----+-----------------+----------------------+---------
   3 |     2    1    0 | 7200     *    *    * |    2   0
   3 |     1    1    1 |    * 14400    *    * |    1   1
   3 |     3    0    0 |    *     * 4800    * |    1   1
   3 |     0    0    3 |    *     *    * 4800 |    1   1
-----+-----------------+----------------------+---------
  12 |    12    6    6 |    6     6    2    2 | 2400   *  2oct-compound
  24 |    24   12   24 |    0    24    8    8 |    * 600  siddo

3600 |     8    4    4 |    6    12    8 |    8   4  verf: 2pip-blend
-----+-----------------+-----------------+---------
   2 | 14400    *    * |    1     1    1 |    2   1
   2 |     * 7200    * |    1     2    0 |    2   1
   2 |     *    * 7200 |    0     2    2 |    2   2
-----+-----------------+-----------------+---------
   3 |     2    1    0 | 7200     *    * |    2   0
   3 |     1    1    1 |    * 14400    * |    1   1
   6 |     3    0    3 |    *     * 4800 |    1   1  non-regular 2{3}-compound
-----+-----------------+-----------------+---------
  12 |    12    6    6 |    6     6    2 | 2400   *  non-regular 2oct-compound
  24 |    24   12   24 |    0    24    8 |    * 600  siddo

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