Acronym hixquitixhi
Name hecatonicosihexacosiquasitruncated hexacosihecatonicosachoron
Circumradius sqrt[10-2 sqrt(5)] = 2.351141
Colonel of regiment sixathi
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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

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