Acronym sinnontip
Name sinnont prism
Circumradius sqrt[(4+sqrt(2))/2] = 1.645329
Face vector 320, 1440, 1920, 1200, 384, 54
Confer
general polytopal classes:
Wythoffian polypeta  

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


Incidence matrix according to Dynkin symbol

x o3o3o3x4x4/3*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 . x4/3*d |   4 |   0   0   4 |   *   *   * 480   * |   0   1  0   0   2  1 |   0  2  1  0  1  2 |  0  1  2 1
. . . . x4x      |   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 . x4/3*d    8 |   4   0   8 |   0   4   0   2   0 |   * 240  *   *   *  * |   0  2  1  0  0  0 |  0  1  2 0
x . . . x4x        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 . x4/3*d    8 |   0   0  12 |   0   0   0   6   0 |   *   *  *   * 160  * |   0  1  0  0  1  1 |  0  1  1 1
. . . o3x4x4/3*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 . x4/3*d   16 |   8   0  24 |   0  12   0  12   0 |   0   6  0   0   2  0 |   * 80  *  *  *  * |  0  1  1 0
x . . o3x4x4/3*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 . x4/3*d   16 |   0   0  32 |   0   0   0  24   0 |   0   0  0   0   8  0 |   *  *  *  * 20  * |  0  1  0 1
. . o3o3x4x4/3*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 . x4/3*d   32 |  16   0  64 |   0  32   0  48   0 |   0  24  0   0  16  0 |   0  8  0  0  2  0 |  * 10  * *
x . o3o3x4x4/3*d  128 |  64 192 192 |  96  96 128  96  48 |  64  48 24  32  16 16 |  16  8  8  0  0  2 |  *  * 10 *
. o3o3o3x4x4/3*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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