Acronym rerin
Name rectified rectified-penteract
Circumradius sqrt(7) = 2.645751
Coordinates (2, 2, 2, 1, 1)/sqrt(2)   & all permutations, all changes of sign
Dihedral angles
(at margins)
Face vector 320, 1280, 1520, 680, 122
Confer
uniform relative:
sirn  
ambification pre-image:
rin  

Incidence matrix according to Dynkin symbol

o3o3x3o4q

. . . . . | 320 |   6   2 |   6   3   6  1 |   2   3   6  3 |  1  2  3
----------+-----+---------+----------------+----------------+---------
. . x . . |   2 | 960   * |   2   1   1  0 |   1   2   2  1 |  1  1  2
. . . . q |   2 |   * 320 |   0   0   3  1 |   0   0   3  3 |  0  1  3
----------+-----+---------+----------------+----------------+---------
. o3x . . |   3 |   3   0 | 640   *   *  * |   1   1   1  0 |  1  1  1
. . x3o . |   3 |   3   0 |   * 320   *  * |   0   2   0  1 |  1  0  2
. . x . q |   4 |   2   2 |   *   * 480  * |   0   0   2  1 |  0  1  2
. . . o4q |   4 |   0   4 |   *   *   * 80 |   0   0   0  3 |  0  0  3
----------+-----+---------+----------------+----------------+---------
o3o3x . .    4 |   6   0 |   4   0   0  0 | 160   *   *  * |  1  1  0
. o3x3o .    6 |  12   0 |   4   4   0  0 |   * 160   *  * |  1  0  1
. o3x . q    6 |   6   3 |   2   0   3  0 |   *   * 320  * |  0  1  1
. . x3o4q   24 |  24  24 |   0   8  12  6 |   *   *   * 40 |  0  0  2
----------+-----+---------+----------------+----------------+---------
o3o3x3o .   10 |  30   0 |  20  10   0  0 |   5   5   0  0 | 32  *  *
o3o3x . q    8 |  12   4 |   8   0   6  0 |   2   0   4  0 |  * 80  *
. o3x3o4q   96 | 192  96 |  64  64  96 24 |   0  16  32  8 |  *  * 10

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