Acronym rinnip
Name rectified-penteract prism
Circumradius 3/2 = 1.5
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 1/2)   & all permutations in all but last coord., all changes of sign

Incidence matrix according to Dynkin symbol

x o3o3o3x4o

. . . . . . | 160 |  1   8 |   8  12   4 |  12  4   8  6 |   8  6  2  4 |  2  4 1
------------+-----+--------+-------------+---------------+--------------+--------
x . . . . . |   2 | 80   * |   8   0   0 |  12  4   0  0 |   8  6  0  0 |  2  4 0
. . . . x . |   2 |  * 640 |   1   3   1 |   3  1   3  3 |   3  3  1  3 |  1  3 1
------------+-----+--------+-------------+---------------+--------------+--------
x . . . x . |   4 |  2   2 | 320   *   * |   3  1   0  0 |   3  3  0  0 |  1  3 0
. . . o3x . |   3 |  0   3 |   * 640   * |   1  0   2  1 |   2  1  1  2 |  1  2 1
. . . . x4o |   4 |  0   4 |   *   * 160 |   0  1   0  3 |   0  3  0  3 |  0  3 1
------------+-----+--------+-------------+---------------+--------------+--------
x . . o3x .    6 |  3   6 |   3   2   0 | 320  *   *  * |   2  1  0  0 |  1  2 0
x . . . x4o    8 |  4   8 |   4   0   2 |   * 80   *  * |   0  3  0  0 |  0  3 0
. . o3o3x .    4 |  0   6 |   0   4   0 |   *  * 320  * |   1  0  1  1 |  1  1 1
. . . o3x4o   12 |  0  24 |   0   8   6 |   *  *   * 80 |   0  1  0  2 |  0  2 1
------------+-----+--------+-------------+---------------+--------------+--------
x . o3o3x .    8 |  4  12 |   6   8   0 |   4  0   2  0 | 160  *  *  * |  1  1 0
x . . o3x4o   24 | 12  48 |  24  16  12 |   8  6   0  2 |   * 40  *  * |  0  2 0
. o3o3o3x .    5 |  0  10 |   0  10   0 |   0  0   5  0 |   *  * 64  * |  1  0 1
. . o3o3x4o   32 |  0  96 |   0  64  24 |   0  0  16  8 |   *  *  * 20 |  0  1 1
------------+-----+--------+-------------+---------------+--------------+--------
x o3o3o3x .   10 |  5  20 |  10  20   0 |  10  0  10  0 |   5  0  2  0 | 32  * *
x . o3o3x4o   64 | 32 192 |  96 128  48 |  64 24  32 16 |  16  8  0  2 |  * 10 *
. o3o3o3x4o   80 |  0 320 |   0 320  80 |   0  0 160 40 |   0  0 32 10 |  *  * 2

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