Acronym gaquapac
Name great quasiprismatotetracontoctachoron
Cross sections
 ©
Circumradius sqrt[14-9 sqrt(2)] = 1.127864
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: hip quitco
gaquapac 19248
)
Face vector 1152, 2304, 1392, 240
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gaquapac is isomorphic to gippic, thereby replacing the octagrams by octagons, resp. replacing the quitco by girco.


Incidence matrix according to Dynkin symbol

x3x4/3x3x

. .   . . | 1152 |   1   1   1   1 |   1   1   1   1   1   1 |  1  1  1  1
----------+------+-----------------+-------------------------+------------
x .   . . |    2 | 576   *   *   * |   1   1   1   0   0   0 |  1  1  1  0
. x   . . |    2 |   * 576   *   * |   1   0   0   1   1   0 |  1  1  0  1
. .   x . |    2 |   *   * 576   * |   0   1   0   1   0   1 |  1  0  1  1
. .   . x |    2 |   *   *   * 576 |   0   0   1   0   1   1 |  0  1  1  1
----------+------+-----------------+-------------------------+------------
x3x   . . |    6 |   3   3   0   0 | 192   *   *   *   *   * |  1  1  0  0
x .   x . |    4 |   2   0   2   0 |   * 288   *   *   *   * |  1  0  1  0
x .   . x |    4 |   2   0   0   2 |   *   * 288   *   *   * |  0  1  1  0
. x4/3x . |    8 |   0   4   4   0 |   *   *   * 144   *   * |  1  0  0  1
. x   . x |    4 |   0   2   0   2 |   *   *   *   * 288   * |  0  1  0  1
. .   x3x |    6 |   0   0   3   3 |   *   *   *   *   * 192 |  0  0  1  1
----------+------+-----------------+-------------------------+------------
x3x4/3x .    48 |  24  24  24   0 |   8  12   0   6   0   0 | 24  *  *  *
x3x   . x    12 |   6   6   0   6 |   2   0   3   0   3   0 |  * 96  *  *
x .   x3x    12 |   6   0   6   6 |   0   3   3   0   0   2 |  *  * 96  *
. x4/3x3x    48 |   0  24  24  24 |   0   0   0   6  12   8 |  *  *  * 24
or
. .   . .    | 1152 |    2    2 |   2   2   1   1 |  2   2
-------------+------+-----------+-----------------+-------
x .   . .  & |    2 | 1152    * |   1   1   1   0 |  1   2
. x   . .  & |    2 |    * 1152 |   1   1   0   1 |  2   1
-------------+------+-----------+-----------------+-------
x3x   . .  & |    6 |    3    3 | 384   *   *   * |  1   1
x .   x .  & |    4 |    2    2 |   * 576   *   * |  1   1
x .   . x    |    4 |    4    0 |   *   * 288   * |  0   2
. x4/3x .    |    8 |    0    8 |   *   *   * 144 |  2   0
-------------+------+-----------+-----------------+-------
x3x4/3x .  &    48 |   24   48 |   8  12   0   6 | 48   *
x3x   . x  &    12 |   12    6 |   2   3   3   0 |  * 192

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