Acronym getitdin
Name great tesseractitriacontidiadispenteract
Circumradius sqrt[15-6 sqrt(2)]/2 = 1.276197
Coordinates ((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – other uniform polyteral members:
by cells: gichado girpdo gittith gnappoth quidpith shiddip tes tip tuttip
getitdin 1001000040320
gancpan 0100100003280
caquapin 00001080403280
& others)
Face vector 640, 2240, 2160, 760, 92
Confer
general polytopal classes:
Wythoffian polytera  
External
links
polytopewiki

As abstract polytope getitdin is isomorphic to setitdin, thereby replacing octagrams by octagons, resp. quitco by girco and gocco by socco, resp. gittith by steth and gichado by sichado.


Incidence matrix according to Dynkin symbol

x3x3o3o *b4/3x4*c

. . . .      .    | 640 |   1   3   3 |   3   3   3   3   3 |   3  3   3   1  3  1 |  1  3  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x . . .      .    |   2 | 320   *   * |   3   3   0   0   0 |   3  3   3   0  0  0 |  1  3  1  0
. x . .      .    |   2 |   * 960   * |   1   0   2   1   0 |   2  1   0   1  2  0 |  1  2  0  1
. . . .      x    |   2 |   *   * 960 |   0   1   0   1   2 |   0  1   2   0  2  1 |  0  2  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x . .      .    |   6 |   3   3   0 | 320   *   *   *   * |   2  1   0   0  0  0 |  1  2  0  0
x . . .      x    |   4 |   2   0   2 |   * 480   *   *   * |   0  1   2   0  0  0 |  0  2  1  0
. x3o .      .    |   3 |   0   3   0 |   *   * 640   *   * |   1  0   0   1  1  0 |  1  1  0  1
. x . . *b4/3x    |   8 |   0   4   4 |   *   *   * 240   * |   0  1   0   0  2  0 |  0  2  0  1
. . o .      x4*c |   4 |   0   0   4 |   *   *   *   * 480 |   0  0   1   0  1  1 |  0  1  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x3o .      .      12 |   6  12   0 |   4   0   4   0   0 | 160  *   *   *  *  * |  1  1  0  0
x3x . . *b4/3x      48 |  24  24  24 |   8  12   0   6   0 |   * 40   *   *  *  * |  0  2  0  0
x . o .      x4*c    8 |   4   0   8 |   0   4   0   0   2 |   *  * 240   *  *  * |  0  1  1  0
. x3o3o      .       4 |   0   6   0 |   0   0   4   0   0 |   *  *   * 160  *  * |  1  0  0  1
. x3o . *b4/3x4*c   24 |   0  24  24 |   0   0   8   6   6 |   *  *   *   * 80  * |  0  1  0  1
. . o3o      x4*c    8 |   0   0  12 |   0   0   0   0   6 |   *  *   *   *  * 80 |  0  0  1  1
------------------+-----+-------------+---------------------+----------------------+------------
x3x3o3o      .      20 |  10  30   0 |  10   0  20   0   0 |   5  0   0   5  0  0 | 32  *  *  *
x3x3o . *b4/3x4*c  192 |  96 192 192 |  64  96  64  48  48 |  16  8  24   0  8  0 |  * 10  *  *
x . o3o      x4*c   16 |   8   0  24 |   0  12   0   0  12 |   0  0   6   0  0  2 |  *  * 40  *
. x3o3o *b4/3x4*c   64 |   0  96  96 |   0   0  64  24  48 |   0  0   0  16  8  8 |  *  *  * 10

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