Acronym sidpithip
Name small-disprismatotesseractihexadecachoron prism,
runcinated-tesseract prism,
small-prismated-tesseract prism,
central segment of scant
Circumradius sqrt[7+2 sqrt(2)]/2 = 1.567516
Coordinates ((1+sqrt(2))/2, 1/2, 1/2, 1/2, 1/2)   & all permutations in all but last coord., all changes of sign
Confer
uniform relative:
scant  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x x3o3o4x

. . . . . | 128 |  1   3   3 |  3  3   3   6  3 |  3  6  3  1  3  3  1 |  1  3  3 1 1
----------+-----+------------+------------------+----------------------+-------------
x . . . . |   2 | 64   *   * |  3  3   0   0  0 |  3  6  3  0  0  0  0 |  1  3  3 1 0
. x . . . |   2 |  * 192   * |  1  0   2   2  0 |  2  2  0  1  2  1  0 |  1  2  1 0 1
. . . . x |   2 |  *   * 192 |  0  1   0   2  2 |  0  2  2  0  1  2  1 |  0  1  2 1 1
----------+-----+------------+------------------+----------------------+-------------
x x . . . |   4 |  2   2   0 | 96  *   *   *  * |  2  2  0  0  0  0  0 |  1  2  1 0 0
x . . . x |   4 |  2   0   2 |  * 96   *   *  * |  0  2  2  0  0  0  0 |  0  1  2 1 0
. x3o . . |   3 |  0   3   0 |  *  * 128   *  * |  1  0  0  1  1  0  0 |  1  1  0 0 1
. x . . x |   4 |  0   2   2 |  *  *   * 192  * |  0  1  0  0  1  1  0 |  0  1  1 0 1
. . . o4x |   4 |  0   0   4 |  *  *   *   * 96 |  0  0  1  0  0  1  1 |  0  0  1 1 1
----------+-----+------------+------------------+----------------------+-------------
x x3o . .    6 |  3   6   0 |  3  0   2   0  0 | 64  *  *  *  *  *  * |  1  1  0 0 0
x x . . x    8 |  4   4   4 |  2  2   0   2  0 |  * 96  *  *  *  *  * |  0  1  1 0 0
x . . o4x    8 |  4   0   8 |  0  4   0   0  2 |  *  * 48  *  *  *  * |  0  0  1 1 0
. x3o3o .    4 |  0   6   0 |  0  0   4   0  0 |  *  *  * 32  *  *  * |  1  0  0 0 1
. x3o . x    6 |  0   6   3 |  0  0   2   3  0 |  *  *  *  * 64  *  * |  0  1  0 0 1
. x . o4x    8 |  0   4   8 |  0  0   0   4  2 |  *  *  *  *  * 48  * |  0  0  1 0 1
. . o3o4x    8 |  0   0  12 |  0  0   0   0  6 |  *  *  *  *  *  * 16 |  0  0  0 1 1
----------+-----+------------+------------------+----------------------+-------------
x x3o3o .    8 |  4  12   0 |  6  0   8   0  0 |  4  0  0  2  0  0  0 | 16  *  * * *
x x3o . x   12 |  6  12   6 |  6  3   4   6  0 |  2  3  0  0  2  0  0 |  * 32  * * *
x x . o4x   16 |  8   8  16 |  4  8   0   8  4 |  0  4  2  0  0  2  0 |  *  * 24 * *
x . o3o4x   16 |  8   0  24 |  0 12   0   0 12 |  0  0  6  0  0  0  2 |  *  *  * 8 *
. x3o3o4x   64 |  0  96  96 |  0  0  64  96 48 |  0  0  0 16 32 24  8 |  *  *  * * 2

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