Acronym	hixquitixhi
Name	hecatonicosihexacosiquasitruncated hexacosihecatonicosachoron
Circumradius	sqrt[10-2 sqrt(5)] = 2.351141
Colonel of regiment	sixathi
Face vector	7200, 18000, 9120, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope hixquitixhi is isomorphic to hixtixhi, thereby replacing pentagons by pentagrams and interchanging the roles of the decagons and decagrams, respectively replacing saddid by gaddid and quit sissid by tigid. – As such hixquitixhi is a lieutenant.

Incidence matrix according to Dynkin symbol

x3x5/3x5/4o3*a5*c

. .   .   .       | 7200 |    2    1    2 |    2    2    1    2    1 |   2   1   1   1
------------------+------+----------------+--------------------------+----------------
x .   .   .       |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
. x   .   .       |    2 |    * 3600    * |    2    0    0    2    0 |   2   1   0   1
. .   x   .       |    2 |    *    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+----------------+--------------------------+----------------
x3x   .   .       |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x   . *a5*c |   10 |    5    0    5 |    * 1440    *    *    * |   1   0   1   0
x .   .   o3*a    |    3 |    3    0    0 |    *    * 2400    *    * |   0   1   1   0
. x5/3x   .       |   10 |    0    5    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5/4o       |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+----------------+--------------------------+----------------
x3x5/3x   . *a5*c ♦  120 |   60   60   60 |   20   12    0   12    0 | 120   *   *   *
x3x   .   o3*a    ♦   12 |   12    6    0 |    4    0    4    0    0 |   * 600   *   *
x .   x5/4o3*a5*c ♦   60 |   60    0   60 |    0   12   20    0   12 |   *   * 120   *
. x5/3x5/4o       ♦   60 |    0   30   60 |    0    0    0   12   12 |   *   *   * 120

x3x5/3x5o3/2*a5*c

. .   . .         | 7200 |    2    1    2 |    2    2    1    2    1 |   2   1   1   1
------------------+------+----------------+--------------------------+----------------
x .   . .         |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
. x   . .         |    2 |    * 3600    * |    2    0    0    2    0 |   2   1   0   1
. .   x .         |    2 |    *    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+----------------+--------------------------+----------------
x3x   . .         |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x .   *a5*c |   10 |    5    0    5 |    * 1440    *    *    * |   1   0   1   0
x .   . o3/2*a    |    3 |    3    0    0 |    *    * 2400    *    * |   0   1   1   0
. x5/3x .         |   10 |    0    5    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5o         |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+----------------+--------------------------+----------------
x3x5/3x .   *a5*c ♦  120 |   60   60   60 |   20   12    0   12    0 | 120   *   *   *
x3x   . o3/2*a    ♦   12 |   12    6    0 |    4    0    4    0    0 |   * 600   *   *
x .   x5o3/2*a5*c ♦   60 |   60    0   60 |    0   12   20    0   12 |   *   * 120   *
. x5/3x5o         ♦   60 |    0   30   60 |    0    0    0   12   12 |   *   *   * 120