Acronym	rorpdah
Name	retroretroprismated dishexadecateron
Circumradius	sqrt(7/2) = 1.870829
Coordinates	(sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
General of army	spat
Colonel of regiment	spat
Face vector	320, 1440, 1920, 880, 74
Confer	general polytopal classes: Wythoffian polytera
External links

Incidence matrix according to Dynkin symbol

o3x3x3x3o3*a3/2*c

. . . . .         | 320 |   3   3   3 |   3   3   3   6   6   3 |  3   3  1  3  1  1  6   3  3 |  3  1  1  1  3
------------------+-----+-------------+-------------------------+------------------------------+---------------
. x . . .         |   2 | 480   *   * |   2   0   1   2   0   0 |  2   2  1  0  0  0  2   1  0 |  2  1  1  0  1
. . x . .         |   2 |   * 480   * |   0   2   1   0   2   0 |  2   0  0  2  1  0  2   0  1 |  2  1  0  1  1
. . . x .         |   2 |   *   * 480 |   0   0   0   2   2   2 |  0   1  0  1  0  1  2   2  2 |  1  0  1  1  2
------------------+-----+-------------+-------------------------+------------------------------+---------------
o3x . . .         |   3 |   3   0   0 | 320   *   *   *   *   * |  1   1  1  0  0  0  0   0  0 |  1  1  1  0  0
o . x . . *a3/2*c |   3 |   0   3   0 |   * 320   *   *   *   * |  1   0  0  1  1  0  0   0  0 |  1  1  0  1  0
. x3x . .         |   6 |   3   3   0 |   *   * 160   *   *   * |  2   0  0  0  0  0  2   0  0 |  2  1  0  0  1
. x . x .         |   4 |   2   0   2 |   *   *   * 480   *   * |  0   1  0  0  0  0  1   1  0 |  1  0  1  0  1
. . x3x .         |   6 |   0   3   3 |   *   *   *   * 320   * |  0   0  0  1  0  0  1   0  1 |  1  0  0  1  1
. . . x3o         |   3 |   0   0   3 |   *   *   *   *   * 320 |  0   0  0  0  0  1  0   1  1 |  0  0  1  1  1
------------------+-----+-------------+-------------------------+------------------------------+---------------
o3x3x . . *a3/2*c ♦  12 |  12  12   0 |   4   4   4   0   0   0 | 80   *  *  *  *  *  *   *  * |  1  1  0  0  0
o3x . x .         ♦   6 |   6   0   3 |   2   0   0   3   0   0 |  * 160  *  *  *  *  *   *  * |  1  0  1  0  0
o3x . . o3*a      ♦   4 |   6   0   0 |   4   0   0   0   0   0 |  *   * 80  *  *  *  *   *  * |  0  1  1  0  0
o . x3x . *a3/2*c ♦  12 |   0  12   6 |   0   4   0   0   4   0 |  *   *  * 80  *  *  *   *  * |  1  0  0  1  0
o . x . o3*a3/2*c ♦   4 |   0   6   0 |   0   4   0   0   0   0 |  *   *  *  * 80  *  *   *  * |  0  1  0  1  0
o . . x3o3*a      ♦   4 |   0   0   6 |   0   0   0   0   0   4 |  *   *  *  *  * 80  *   *  * |  0  0  1  1  0
. x3x3x .         ♦  24 |  12  12  12 |   0   0   4   6   4   0 |  *   *  *  *  *  * 80   *  * |  1  0  0  0  1
. x . x3o         ♦   6 |   3   0   6 |   0   0   0   3   0   2 |  *   *  *  *  *  *  * 160  * |  0  0  1  0  1
. . x3x3o         ♦  12 |   0   6  12 |   0   0   0   0   4   4 |  *   *  *  *  *  *  *   * 80 |  0  0  0  1  1
------------------+-----+-------------+-------------------------+------------------------------+---------------
o3x3x3x . *a3/2*c ♦  60 |  60  60  30 |  20  20  20  30  20   0 |  5  10  0  5  0  0  5   0  0 | 16  *  *  *  *
o3x3x . o3*a3/2*c ♦  20 |  30  30   0 |  20  20  10   0   0   0 |  5   0  5  0  5  0  0   0  0 |  * 16  *  *  *
o3x . x3o3*a      ♦  20 |  30   0  30 |  20   0   0  30   0  20 |  0  10  5  0  0  5  0  10  0 |  *  * 16  *  *
o . x3x3o3*a3/2*c ♦  32 |   0  48  48 |   0  32   0   0  32  32 |  0   0  0  8  8  8  0   0  8 |  *  *  * 10  *
. x3x3x3o         ♦  60 |  30  30  60 |   0   0  10  30  20  20 |  0   0  0  0  0  0  5  10  5 |  *  *  *  * 16