Acronym ginnontip
Name ginnont prism
Circumradius sqrt[(4-sqrt(2))/2] = 1.137055
Face vector 320, 1440, 1920, 1200, 384, 54
Confer
general polytopal classes:
Wythoffian polypeta  

As abstract polytope ginnontip is isomorphic to sinnontip, thereby replacing octagrams by octagons, resp. stop by op and gocco by socco, resp. goccope by soccope and gittith by steth, resp. gittithip by stethip and ginnont by sinnont.


Incidence matrix according to Dynkin symbol

x o3o3o3x4/3x4*d

. . . . .   .    | 320 |   1   4   4 |   4   4   6   6   4 |   6   6  4   4   4  6 |   4  4  6  1  1  4 |  1  1  4 1
-----------------+-----+-------------+---------------------+-----------------------+--------------------+-----------
x . . . .   .    |   2 | 160   *   * |   4   4   0   0   0 |   6   6  4   0   0  0 |   4  4  6  0  0  0 |  1  1  4 0
. . . . x   .    |   2 |   * 640   * |   1   0   3   0   1 |   3   0  1   3   0  3 |   3  0  3  1  0  3 |  1  0  3 1
. . . . .   x    |   2 |   *   * 640 |   0   1   0   3   1 |   0   3  1   0   3  3 |   0  3  3  0  1  3 |  0  1  3 1
-----------------+-----+-------------+---------------------+-----------------------+--------------------+-----------
x . . . x   .    |   4 |   2   2   0 | 320   *   *   *   * |   3   0  1   0   0  0 |   3  0  3  0  0  0 |  1  0  3 0
x . . . .   x    |   4 |   2   0   2 |   * 320   *   *   * |   0   3  1   0   0  0 |   0  3  3  0  0  0 |  0  1  3 0
. . . o3x   .    |   3 |   0   3   0 |   *   * 640   *   * |   1   0  0   2   0  1 |   2  0  1  1  0  2 |  1  0  2 1
. . . o .   x4*d |   4 |   0   0   4 |   *   *   * 480   * |   0   1  0   0   2  1 |   0  2  1  0  1  2 |  0  1  2 1
. . . . x4/3x    |   8 |   0   4   4 |   *   *   *   * 160 |   0   0  1   0   0  3 |   0  0  3  0  0  3 |  0  0  3 1
-----------------+-----+-------------+---------------------+-----------------------+--------------------+-----------
x . . o3x   .       6 |   3   6   0 |   3   0   2   0   0 | 320   *  *   *   *  * |   2  0  1  0  0  0 |  1  0  2 0
x . . o .   x4*d    8 |   4   0   8 |   0   4   0   2   0 |   * 240  *   *   *  * |   0  2  1  0  0  0 |  0  1  2 0
x . . . x4/3x      16 |   8   8   8 |   4   4   0   0   2 |   *   * 80   *   *  * |   0  0  3  0  0  0 |  0  0  3 0
. . o3o3x   .       4 |   0   6   0 |   0   0   4   0   0 |   *   *  * 320   *  * |   1  0  0  1  0  1 |  1  0  1 1
. . o3o .   x4*d    8 |   0   0  12 |   0   0   0   6   0 |   *   *  *   * 160  * |   0  1  0  0  1  1 |  0  1  1 1
. . . o3x4/3x4*d   24 |   0  24  24 |   0   0   8   6   6 |   *   *  *   *   * 80 |   0  0  1  0  0  2 |  0  0  2 1
-----------------+-----+-------------+---------------------+-----------------------+--------------------+-----------
x . o3o3x   .       8 |   4  12   0 |   6   0   8   0   0 |   4   0  0   2   0  0 | 160  *  *  *  *  * |  1  0  1 0
x . o3o .   x4*d   16 |   8   0  24 |   0  12   0  12   0 |   0   6  0   0   2  0 |   * 80  *  *  *  * |  0  1  1 0
x . . o3x4/3x4*d   48 |  24  48  48 |  24  24  16  12  12 |   8   6  6   0   0  2 |   *  * 40  *  *  * |  0  0  2 0
. o3o3o3x   .       5 |   0  10   0 |   0   0  10   0   0 |   0   0  0   5   0  0 |   *  *  * 64  *  * |  1  0  0 1
. o3o3o .   x4*d   16 |   0   0  32 |   0   0   0  24   0 |   0   0  0   0   8  0 |   *  *  *  * 20  * |  0  1  0 1
. . o3o3x4/3x4*d   64 |   0  96  96 |   0   0  64  48  24 |   0   0  0  16   8  8 |   *  *  *  *  * 20 |  0  0  1 1
-----------------+-----+-------------+---------------------+-----------------------+--------------------+-----------
x o3o3o3x   .      10 |   5  20   0 |  10   0  20   0   0 |  10   0  0  10   0  0 |   5  0  0  2  0  0 | 32  *  * *
x o3o3o .   x4*d   32 |  16   0  64 |   0  32   0  48   0 |   0  24  0   0  16  0 |   0  8  0  0  2  0 |  * 10  * *
x . o3o3x4/3x4*d  128 |  64 192 192 |  96  96 128  96  48 |  64  48 24  32  16 16 |  16  8  8  0  0  2 |  *  * 10 *
. o3o3o3x4/3x4*d  160 |   0 320 320 |   0   0 320 240  80 |   0   0  0 160  80 40 |   0  0  0 32 10 10 |  *  *  * 2

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