Acronym hixthix
Name hecatonicosihexacositruncated hecatonicosihexacosachoron
Circumradius sqrt[(43+15 sqrt(5))/2] = 6.186316
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: idtid tid tut
hixthix 120120600
)
Face vector 7200, 14400, 6960, 840
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope hixthix is isomorphic to hixquathix, thereby interchanging decagons and decagrams, respectively replacing tid by quit gissid.


Incidence matrix according to Dynkin symbol

o3x3x5/3x5*b

. . .   .    | 7200 |    2    1    1 |    1    2    2   1 |   1   1   2
-------------+------+----------------+--------------------+------------
. x .   .    |    2 | 7200    *    * |    1    1    1   0 |   1   1   1
. . x   .    |    2 |    * 3600    * |    0    2    0   1 |   1   0   2
. . .   x    |    2 |    *    * 3600 |    0    0    2   1 |   0   1   2
-------------+------+----------------+--------------------+------------
o3x .   .    |    3 |    3    0    0 | 2400    *    *   * |   1   1   0
. x3x   .    |    6 |    3    3    0 |    * 2400    *   * |   1   0   1
. x .   x5*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
. . x5/3x    |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
-------------+------+----------------+--------------------+------------
o3x3x   .       12 |   12    6    0 |    4    4    0   0 | 600   *   *
o3x .   x5*b    60 |   60    0   30 |   20    0   12   0 |   * 120   *
. x3x5/3x5*b   120 |   60   60   60 |    0   20   12  12 |   *   * 120

o3/2x3x5/3x5*b

.   . .   .    | 7200 |    2    1    1 |    1    2    2   1 |   1   1   2
---------------+------+----------------+--------------------+------------
.   x .   .    |    2 | 7200    *    * |    1    1    1   0 |   1   1   1
.   . x   .    |    2 |    * 3600    * |    0    2    0   1 |   1   0   2
.   . .   x    |    2 |    *    * 3600 |    0    0    2   1 |   0   1   2
---------------+------+----------------+--------------------+------------
o3/2x .   .    |    3 |    3    0    0 | 2400    *    *   * |   1   1   0
.   x3x   .    |    6 |    3    3    0 |    * 2400    *   * |   1   0   1
.   x .   x5*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
.   . x5/3x    |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
---------------+------+----------------+--------------------+------------
o3/2x3x   .       12 |   12    6    0 |    4    4    0   0 | 600   *   *
o3/2x .   x5*b    60 |   60    0   30 |   20    0   12   0 |   * 120   *
.   x3x5/3x5*b   120 |   60   60   60 |    0   20   12  12 |   *   * 120

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