Acronym brillip
Name birectified - heptapeton prism
Circumradius sqrt(31/28) = 1.052209
Confer
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

x o3o3x3o3o3o

. . . . . . . | 70 |  1  12 |  12  12  18 |  12  18  4  18  12 |  4  18  12  6 12  3 |  6 12  3  4  3 | 4 3 1
--------------+----+--------+-------------+--------------------+---------------------+----------------+------
x . . . . . . |  2 | 35   *   12   0   0 |  12  18  0   0   0 |  4  18  12  0  0  0 |  6 12  3  0  0 | 4 3 0
. . . x . . . |  2 |  * 420 |   1   2   3 |   2   3  1   6   3 |  1   6   3  3  6  1 |  3  6  1  3  2 | 3 2 1
--------------+----+--------+-------------+--------------------+---------------------+----------------+------
x . . x . . . |  4 |  2   2 | 210   *   * |   2   3  0   0   0 |  1   6   3  0  0  0 |  3  6  1  0  0 | 3 2 0
. . o3x . . . |  3 |  0   3 |   * 280   * |   1   0  1   3   0 |  1   3   0  3  3  0 |  3  3  0  3  1 | 3 1 1
. . . x3o . . |  3 |  0   3 |   *   * 420 |   0   1  0   2   2 |  0   2   2  1  4  1 |  1  4  1  2  2 | 2 2 1
--------------+----+--------+-------------+--------------------+---------------------+----------------+------
x . o3x . . .   6 |  3   6 |   3   2   0 | 140   *  *   *   * |  1   3   0  0  0  0 |  3  3  0  0  0 | 3 1 0
x . . x3o . .   6 |  3   6 |   3   0   2 |   * 210  *   *   * |  0   2   2  0  0  0 |  1  4  1  0  0 | 2 2 0
. o3o3x . . .   4 |  0   6 |   0   4   0 |   *   * 70   *   * |  1   0   0  3  0  0 |  3  0  0  3  0 | 3 0 1
. . o3x3o . .   6 |  0  12 |   0   4   4 |   *   *  * 210   * |  0   1   0  1  2  0 |  1  2  0  2  1 | 2 1 1
. . . x3o3o .   4 |  0   6 |   0   0   4 |   *   *  *   * 210 |  0   0   1  0  2  1 |  0  2  1  1  2 | 1 2 1
--------------+----+--------+-------------+--------------------+---------------------+----------------+------
x o3o3x . . .   8 |  4  12 |   6   8   0 |   4   0  2   0   0 | 35   *   *  *  *  * |  3  0  0  0  0 | 3 0 0
x . o3x3o . .  12 |  6  24 |  12   8   8 |   4   4  0   2   0 |  * 105   *  *  *  * |  1  2  0  0  0 | 2 1 0
x . . x3o3o .   8 |  4  12 |   6   0   8 |   0   4  0   0   2 |  *   * 105  *  *  * |  0  2  1  0  0 | 1 2 0
. o3o3x3o . .  10 |  0  30 |   0  20  10 |   0   0  5   5   0 |  *   *   * 42  *  * |  1  0  0  2  0 | 2 0 1
. . o3x3o3o .  10 |  0  30 |   0  10  20 |   0   0  0   5   5 |  *   *   *  * 84  * |  0  1  0  1  1 | 1 1 1
. . . x3o3o3o   5 |  0  10 |   0   0  10 |   0   0  0   0   5 |  *   *   *  *  * 42 |  0  0  1  0  2 | 0 2 1
--------------+----+--------+-------------+--------------------+---------------------+----------------+------
x o3o3x3o . .  20 | 10  60 |  30  40  20 |  20  10 10  10   0 |  5   5   0  2  0  0 | 21  *  *  *  * | 2 0 0
x . o3x3o3o .  20 | 10  60 |  30  20  40 |  10  20  0  10  10 |  0   5   5  0  2  0 |  * 42  *  *  * | 1 1 0
x . . x3o3o3o  10 |  5  20 |  10   0  20 |   0  10  0   0  10 |  0   0   5  0  0  2 |  *  * 21  *  * | 0 2 0
. o3o3x3o3o .  20 |  0  90 |   0  60  60 |   0   0 15  30  15 |  0   0   0  6  6  0 |  *  *  * 14  * | 1 0 1
. . o3x3o3o3o  15 |  0  60 |   0  20  60 |   0   0  0  15  30 |  0   0   0  0  6  6 |  *  *  *  * 14 | 0 1 1
--------------+----+--------+-------------+--------------------+---------------------+----------------+------
x o3o3x3o3o .  40 | 20 180 |  90 120 120 |  60  60 30  60  30 | 15  30  15 12 12  0 |  6  6  0  2  0 | 7 * *
x . o3x3o3o3o  30 | 15 120 |  60  40 120 |  20  60  0  30  60 |  0  15  30  0 12 12 |  0  6  6  0  2 | * 7 *
. o3o3x3o3o3o  35 |  0 210 |   0 140 210 |   0   0 35 105 105 |  0   0   0 21 42 21 |  0  0  0  7  7 | * * 2

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