Acronym squahop
Name square - heptapenton duoprism,
vertex figure of barn
Circumradius sqrt(13/14) = 0.963624
Volume sqrt(7)/5760 = 0.00045933
Face vector 28, 112, 231, 301, 259, 147, 53, 11
Confer
general polytopal classes:
Wythoffian polyzetta   segmentozetta  

Incidence matrix according to Dynkin symbol

x4o x3o3o3o3o3o

. . . . . . . . | 28 |  2  6 | 1 12  15 |  6  30  20 | 15  40 15 | 20 30  6 | 15 12 1 | 6 2
----------------+----+-------+----------+------------+-----------+----------+---------+----
x . . . . . . . |  2 | 28  * | 1  6   0 |  6  15   0 | 15  20  0 | 20 15  0 | 15  6 0 | 6 1
. . x . . . . . |  2 |  * 84 | 0  2   5 |  1  10  10 |  5  20 10 | 10 20  5 | 10 10 1 | 5 2
----------------+----+-------+----------+------------+-----------+----------+---------+----
x4o . . . . . . |  4 |  4  0 | 7  *   *   6   0   0 | 15   0  0 | 20  0  0 | 15  0 0 | 6 0
x . x . . . . . |  4 |  2  2 | * 84   * |  1   5   0 |  5  10  0 | 10 10  0 | 10  5 0 | 5 1
. . x3o . . . . |  3 |  0  3 | *  * 140 |  0   2   4 |  1   8  6 |  4 12  4 |  6  8 1 | 4 2
----------------+----+-------+----------+------------+-----------+----------+---------+----
x4o x . . . . .   8 |  8  4 | 2  4   0 | 21   *   *   5   0  0 | 10  0  0 | 10  0 0 | 5 0
x . x3o . . . .   6 |  3  6 | 0  3   2 |  * 140   * |  1   4  0 |  4  6  0 |  6  4 0 | 4 1
. . x3o3o . . .   4 |  0  6 | 0  0   4 |  *   * 140 |  0   2  3 |  1  6  3 |  3  6 1 | 3 2
----------------+----+-------+----------+------------+-----------+----------+---------+----
x4o x3o . . . .  12 | 12 12 | 3 12   4 |  3   4   0 | 35   *  *   4  0  0 |  6  0 0 | 4 0
x . x3o3o . . .   8 |  4 12 | 0  6   8 |  0   4   2 |  * 140  * |  1  3  0 |  3  3 0 | 3 1
. . x3o3o3o . .   5 |  0 10 | 0  0  10 |  0   0   5 |  *   * 84 |  0  2  2 |  1  4 1 | 2 2
----------------+----+-------+----------+------------+-----------+----------+---------+----
x4o x3o3o . . .  16 | 16 24 | 4 24  16 |  6  16   4 |  4   4  0 | 35  *  * |  3  0 0 | 3 0
x . x3o3o3o . .  10 |  5 20 | 0 10  20 |  0  10  10 |  0   5  2 |  * 84  * |  1  2 0 | 2 1
. . x3o3o3o3o .   6 |  0 15 | 0  0  20 |  0   0  15 |  0   0  6 |  *  * 28 |  0  2 1 | 1 2
----------------+----+-------+----------+------------+-----------+----------+---------+----
x4o x3o3o3o . .  20 | 20 40 | 5 40  40 | 10  40  20 | 10  20  4 |  5  4  0 | 21  * * | 2 0
x . x3o3o3o3o .  12 |  6 30 | 0 15  40 |  0  20  30 |  0  15 12 |  0  6  2 |  * 28 * | 1 1
. . x3o3o3o3o3o   7 |  0 21 | 0  0  35 |  0   0  35 |  0   0 21 |  0  0  7 |  *  * 4 | 0 2
----------------+----+-------+----------+------------+-----------+----------+---------+----
x4o x3o3o3o3o .  24 | 24 60 | 6 60  80 | 15  80  60 | 20  60 24 | 15 24  4 |  6  4 0 | 7 *
x . x3o3o3o3o3o  14 |  7 42 | 0 21  70 |  0  35  70 |  0  35 42 |  0 21 14 |  0  7 2 | * 4

x x x3o3o3o3o3o

. . . . . . . . | 28 |  1  1  6 | 1  6  6  15 |  6 15 15  20 | 15 20 20 15 | 20 15 15  6 | 15  6  6 1 | 6 1 1
----------------+----+----------+-------------+--------------+-------------+-------------+------------+------
x . . . . . . . |  2 | 14  *  * | 1  6  0   0 |  6 15  0   0 | 15 20  0  0 | 20 15  0  0 | 15  6  0 0 | 6 1 0
. x . . . . . . |  2 |  * 14  * | 1  0  6   0 |  6  0 15   0 | 15  0 20  0 | 20  0 15  0 | 15  0  6 0 | 6 0 1
. . x . . . . . |  2 |  *  * 84 | 0  1  1   5 |  1  5  5  10 |  5 10 10 10 | 10 10 10  5 | 10  5  5 1 | 5 1 1
----------------+----+----------+-------------+--------------+-------------+-------------+------------+------
x x . . . . . . |  4 |  2  2  0 | 7  *  *   *   6  0  0   0 | 15  0  0  0 | 20  0  0  0 | 15  0  0 0 | 6 0 0
x . x . . . . . |  4 |  2  0  2 | * 42  *   * |  1  5  0   0 |  5 10  0  0 | 10 10  0  0 | 10  5  0 0 | 5 1 0
. x x . . . . . |  4 |  0  2  2 | *  * 42   * |  1  0  5   0 |  5  0 10  0 | 10  0 10  0 | 10  0  5 0 | 5 0 1
. . x3o . . . . |  3 |  0  0  3 | *  *  * 140 |  0  1  1   4 |  1  4  4  6 |  4  6  6  4 |  6  4  4 1 | 4 1 1
----------------+----+----------+-------------+--------------+-------------+-------------+------------+------
x x x . . . . .   8 |  4  4  4 | 2  2  2   0 | 21  *  *   *   5  0  0  0 | 10  0  0  0 | 10  0  0 0 | 5 0 0
x . x3o . . . .   6 |  3  0  6 | 0  3  0   2 |  * 70  *   * |  1  4  0  0 |  4  6  0  0 |  6  4  0 0 | 4 1 0
. x x3o . . . .   6 |  0  3  6 | 0  0  3   2 |  *  * 70   * |  1  0  4  0 |  4  0  6  0 |  6  0  4 0 | 4 0 1
. . x3o3o . . .   4 |  0  0  6 | 0  0  0   4 |  *  *  * 140 |  0  1  1  3 |  1  3  3  3 |  3  3  3 1 | 3 1 1
----------------+----+----------+-------------+--------------+-------------+-------------+------------+------
x x x3o . . . .  12 |  6  6 12 | 3  6  6   4 |  3  2  2   0 | 35  *  *  *   4  0  0  0 |  6  0  0 0 | 4 0 0
x . x3o3o . . .   8 |  4  0 12 | 0  6  0   8 |  0  4  0   2 |  * 70  *  * |  1  3  0  0 |  3  3  0 0 | 3 1 0
. x x3o3o . . .   8 |  0  4 12 | 0  0  6   8 |  0  0  4   2 |  *  * 70  * |  1  0  3  0 |  3  0  3 0 | 3 0 1
. . x3o3o3o . .   5 |  0  0 10 | 0  0  0  10 |  0  0  0   5 |  *  *  * 84 |  0  1  1  2 |  1  2  2 1 | 2 1 1
----------------+----+----------+-------------+--------------+-------------+-------------+------------+------
x x x3o3o . . .  16 |  8  8 24 | 4 12 12  16 |  6  8  8   4 |  4  2  2  0 | 35  *  *  * |  3  0  0 0 | 3 0 0
x . x3o3o3o . .  10 |  5  0 20 | 0 10  0  20 |  0 10  0  10 |  0  5  0  2 |  * 42  *  * |  1  2  0 0 | 2 1 0
. x x3o3o3o . .  10 |  0  5 20 | 0  0 10  20 |  0  0 10  10 |  0  0  5  2 |  *  * 42  * |  1  0  2 0 | 2 0 1
. . x3o3o3o3o .   6 |  0  0 15 | 0  0  0  20 |  0  0  0  15 |  0  0  0  6 |  *  *  * 28 |  0  1  1 1 | 1 1 1
----------------+----+----------+-------------+--------------+-------------+-------------+------------+------
x x x3o3o3o . .  20 | 10 10 40 | 5 20 20  40 | 10 20 20  20 | 10 10 10  4 |  5  2  2  0 | 21  *  * * | 2 0 0
x . x3o3o3o3o .  12 |  6  0 30 | 0 15  0  40 |  0 20  0  30 |  0 15  0 12 |  0  6  0  2 |  * 14  * * | 1 1 0
. x x3o3o3o3o .  12 |  0  6 30 | 0  0 15  40 |  0  0 20  30 |  0  0 15 12 |  0  0  6  2 |  *  * 14 * | 1 0 1
. . x3o3o3o3o3o   7 |  0  0 21 | 0  0  0  35 |  0  0  0  35 |  0  0  0 21 |  0  0  0  7 |  *  *  * 4 | 0 1 1
----------------+----+----------+-------------+--------------+-------------+-------------+------------+------
x x x3o3o3o3o .  24 | 12 12 60 | 6 30 30  80 | 15 40 40  60 | 20 30 30 24 | 15 12 12  4 |  6  2  2 0 | 7 * *
x . x3o3o3o3o3o  14 |  7  0 42 | 0 21  0  70 |  0 35  0  70 |  0 35  0 42 |  0 21  0 14 |  0  7  0 2 | * 2 *
. x x3o3o3o3o3o  14 |  0  7 42 | 0  0 21  70 |  0  0 35  70 |  0  0 35 42 |  0  0 21 14 |  0  0  7 2 | * * 2

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