Acronym ...
Name 2firl (?)
Circumradius sqrt(5/7) = 0.845154
General of army ril
Colonel of regiment ril
Confer
non-Grünbaumian relatives:
firl  
general polytopal classes:
Wythoffian polypeta  

This Grünbaumian polypeton indeed has all elements in coincident pairs.


Incidence matrix according to Dynkin symbol

x3o3o3o3o3/2x

. . . . .   . | 42 |   5   5 |  10  20  10 |  10  30  30  10 |  5  20  30  20  5 | 1  5 10 10  5 1
--------------+----+---------+-------------+-----------------+-------------------+----------------
x . . . .   . |  2 | 105   * |   4   4   0 |   6  12   6   0 |  4  12  12   4  0 | 1  4  6  4  1 0
. . . . .   x |  2 |   * 105 |   0   4   4 |   0   6  12   6 |  0   4  12  12  4 | 0  1  4  6  4 1
--------------+----+---------+-------------+-----------------+-------------------+----------------
x3o . . .   . |  3 |   3   0 | 140   *   * |   3   3   0   0 |  3   6   3   0  0 | 1  3  3  1  0 0
x . . . .   x |  4 |   2   2 |   * 210   * |   0   3   3   0 |  0   3   6   3  0 | 0  1  3  3  1 0
. . . . o3/2x |  3 |   0   3 |   *   * 140 |   0   0   3   3 |  0   0   3   6  3 | 0  0  1  3  3 1
--------------+----+---------+-------------+-----------------+-------------------+----------------
x3o3o . .   .   4 |   6   0 |   4   0   0 | 105   *   *   * |  2   2   0   0  0 | 1  2  1  0  0 0
x3o . . .   x   6 |   6   3 |   2   3   0 |   * 210   *   * |  0   2   2   0  0 | 0  1  2  1  0 0
x . . . o3/2x   6 |   3   6 |   0   3   2 |   *   * 210   * |  0   0   2   2  0 | 0  0  1  2  1 0
. . . o3o3/2x   4 |   0   6 |   0   0   4 |   *   *   * 105 |  0   0   0   2  2 | 0  0  0  1  2 1
--------------+----+---------+-------------+-----------------+-------------------+----------------
x3o3o3o .   .   5 |  10   0 |  10   0   0 |   5   0   0   0 | 42   *   *   *  * | 1  1  0  0  0 0
x3o3o . .   x   8 |  12   4 |   8   6   0 |   2   4   0   0 |  * 105   *   *  * | 0  1  1  0  0 0
x3o . . o3/2x   9 |   9   9 |   3   9   3 |   0   3   3   0 |  *   * 140   *  * | 0  0  1  1  0 0
x . . o3o3/2x   8 |   4  12 |   0   6   8 |   0   0   4   2 |  *   *   * 105  * | 0  0  0  1  1 0
. . o3o3o3/2x   5 |   0  10 |   0   0  10 |   0   0   0   5 |  *   *   *   * 42 | 0  0  0  0  1 1
--------------+----+---------+-------------+-----------------+-------------------+----------------
x3o3o3o3o   .   6 |  15   0 |  20   0   0 |  15   0   0   0 |  6   0   0   0  0 | 7  *  *  *  * *
x3o3o3o .   x  10 |  20   5 |  20  10   0 |  10  10   0   0 |  2   5   0   0  0 | * 21  *  *  * *
x3o3o . o3/2x  12 |  18  12 |  12  18   4 |   3  12   6   0 |  0   3   4   0  0 | *  * 35  *  * *
x3o . o3o3/2x  12 |  12  18 |   4  18  12 |   0   6  12   3 |  0   0   4   3  0 | *  *  * 35  * *
x . o3o3o3/2x  10 |   5  20 |   0  10  20 |   0   0  10  10 |  0   0   0   5  2 | *  *  *  * 21 *
. o3o3o3o3/2x   6 |   0  15 |   0   0  20 |   0   0   0  15 |  0   0   0   0  6 | *  *  *  *  * 7

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