Acronym hixquathix
Name hecatonicosihexacosaquasitruncated hecatonicosihexacosachoron
Circumradius sqrt[(43-15 sqrt(5))/2] = 2.174739
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: idtid quit gissid tut
hixquathix 120120600
)
Face vector 7200, 14400, 6960, 840
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

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


Incidence matrix according to Dynkin symbol

o3x3x5x5/3*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 . x5/3*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
. . x5x      |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
-------------+------+----------------+--------------------+------------
o3x3x .         12 |   12    6    0 |    4    4    0   0 | 600   *   *
o3x . x5/3*b    60 |   60    0   30 |   20    0   12   0 |   * 120   *
. x3x5x5/3*b   120 |   60   60   60 |    0   20   12  12 |   *   * 120

o3/2x3x5x5/3*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 . x5/3*b |   10 |    5    0    5 |    *    * 1440   * |   0   1   1
.   . x5x      |   10 |    0    5    5 |    *    *    * 720 |   0   0   2
---------------+------+----------------+--------------------+------------
o3/2x3x .         12 |   12    6    0 |    4    4    0   0 | 600   *   *
o3/2x . x5/3*b    60 |   60    0   30 |   20    0   12   0 |   * 120   *
.   x3x5x5/3*b   120 |   60   60   60 |    0   20   12  12 |   *   * 120

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