Acronym gaqri
Name great quasirhombated icositetrachoron
Cross sections
 ©
Circumradius sqrt[10-6 sqrt(2)] = 1.230739
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: quitco quith trip
gaqri 242496
)
Face vector 576, 1152, 720, 144
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gaqri is isomorphic to grico, thereby replacing the octagrams by octagons, resp. replacing quitco by girco and quith by tic.


Incidence matrix according to Dynkin symbol

x3x4/3x3o

. .   . . | 576 |   1   1   2 |  1   2   2   1 |  2  1  1
----------+-----+-------------+----------------+---------
x .   . . |   2 | 288   *   * |  1   2   0   0 |  2  1  0
. x   . . |   2 |   * 288   * |  1   0   2   0 |  2  0  1
. .   x . |   2 |   *   * 576 |  0   1   1   1 |  1  1  1
----------+-----+-------------+----------------+---------
x3x   . . |   6 |   3   3   0 | 96   *   *   * |  2  0  0
x .   x . |   4 |   2   0   2 |  * 288   *   * |  1  1  0
. x4/3x . |   8 |   0   4   4 |  *   * 144   * |  1  0  1
. .   x3o |   3 |   0   0   3 |  *   *   * 192 |  0  1  1
----------+-----+-------------+----------------+---------
x3x4/3x .   48 |  24  24  24 |  8  12   6   0 | 24  *  *
x .   x3o    6 |   3   0   6 |  0   3   0   2 |  * 96  *
. x4/3x3o   24 |   0  12  24 |  0   0   6   8 |  *  * 24

x3x4/3x3/2o

. .   .   . | 576 |   1   1   2 |  1   2   2   1 |  2  1  1
------------+-----+-------------+----------------+---------
x .   .   . |   2 | 288   *   * |  1   2   0   0 |  2  1  0
. x   .   . |   2 |   * 288   * |  1   0   2   0 |  2  0  1
. .   x   . |   2 |   *   * 576 |  0   1   1   1 |  1  1  1
------------+-----+-------------+----------------+---------
x3x   .   . |   6 |   3   3   0 | 96   *   *   * |  2  0  0
x .   x   . |   4 |   2   0   2 |  * 288   *   * |  1  1  0
. x4/3x   . |   8 |   0   4   4 |  *   * 144   * |  1  0  1
. .   x3/2o |   3 |   0   0   3 |  *   *   * 192 |  0  1  1
------------+-----+-------------+----------------+---------
x3x4/3x   .   48 |  24  24  24 |  8  12   6   0 | 24  *  *
x .   x3/2o    6 |   3   0   6 |  0   3   0   2 |  * 96  *
. x4/3x3/2o   24 |   0  12  24 |  0   0   6   8 |  *  * 24

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