Acronym gittithip
Name great-tesseractitesseractihexadecachoron prism
Circumradius sqrt[7-2 sqrt(2)]/2 = 1.021221

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


Incidence matrix according to Dynkin symbol

x o3o3x4/3x4*c

. . . .   .    | 128 |  1   3   3 |  3  3   3  3  3 |  3  3  3  1  1  3 |  1 3 3 1
---------------+-----+------------+-----------------+-------------------+---------
x . . .   .    |   2 | 64   *   * |  3  3   0  0  0 |  3  3  3  0  0  0 |  1 1 3 0
. . . x   .    |   2 |  * 192   * |  1  0   2  0  1 |  2  0  1  1  0  2 |  1 0 2 1
. . . .   x    |   2 |  *   * 192 |  0  1   0  2  1 |  0  2  1  0  1  2 |  0 1 2 1
---------------+-----+------------+-----------------+-------------------+---------
x . . x   .    |   4 |  2   2   0 | 96  *   *  *  * |  2  0  1  0  0  0 |  1 0 2 0
x . . .   x    |   4 |  2   0   2 |  * 96   *  *  * |  0  2  1  0  0  0 |  0 1 2 0
. . o3x   .    |   3 |  0   3   0 |  *  * 128  *  * |  1  0  0  1  0  1 |  1 0 1 1
. . o .   x4*c |   4 |  0   0   4 |  *  *   * 96  * |  0  1  0  0  1  1 |  0 1 1 1
. . . x4/3x    |   8 |  0   4   4 |  *  *   *  * 48 |  0  0  1  0  0  2 |  0 0 2 1
---------------+-----+------------+-----------------+-------------------+---------
x . o3x   .       6 |  3   6   0 |  3  0   2  0  0 | 64  *  *  *  *  * |  1 0 1 0
x . o .   x4*c    8 |  4   0   8 |  0  4   0  2  0 |  * 48  *  *  *  * |  0 1 1 0
x . . x4/3x      16 |  8   8   8 |  4  4   0  0  2 |  *  * 24  *  *  * |  0 0 2 0
. o3o3x   .       4 |  0   6   0 |  0  0   4  0  0 |  *  *  * 32  *  * |  1 0 0 1
. o3o .   x4*c    8 |  0   0  12 |  0  0   0  6  0 |  *  *  *  * 16  * |  0 1 0 1
. . o3x4/3x4*c   24 |  0  24  24 |  0  0   8  6  6 |  *  *  *  *  * 16 |  0 0 1 1
---------------+-----+------------+-----------------+-------------------+---------
x o3o3x   .       8 |  4  12   0 |  6  0   8  0  0 |  4  0  0  2  0  0 | 16 * * *
x o3o .   x4*c   16 |  8   0  24 |  0 12   0 12  0 |  0  6  0  0  2  0 |  * 8 * *
x . o3x4/3x4*c   48 | 24  48  48 | 24 24  16 12 12 |  8  6  6  0  0  2 |  * * 8 *
. o3o3x4/3x4*c   64 |  0  96  96 |  0  0  64 48 24 |  0  0  0 16  8  8 |  * * * 2

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