Acronym	pril
Name	prismatorhombated heptapeton, runcicantellated heptapeton
Circumradius	sqrt(31/7) = 2.104417
Face vector	420, 1470, 1960, 1295, 455, 70
Confer	general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

x3o3x3x3o3o

. . . . . . | 420 |   2   2   3 |   1   2   6   1   6   3 |  1   3   6   6   3   6   1 |  3   3   6   2  3  2 | 3  1  2 1
------------+-----+-------------+-------------------------+----------------------------+----------------------+----------
x . . . . . |   2 | 420   *   * |   1   1   3   0   0   0 |  1   3   3   3   0   0   0 |  3   3   3   1  0  0 | 3  1  1 0
. . x . . . |   2 |   * 420   * |   0   1   0   1   3   0 |  1   0   3   0   3   3   0 |  3   0   3   0  3  1 | 3  0  1 1
. . . x . . |   2 |   *   * 630 |   0   0   2   0   2   2 |  0   1   2   4   1   4   1 |  1   2   4   2  2  2 | 2  1  2 1
------------+-----+-------------+-------------------------+----------------------------+----------------------+----------
x3o . . . . |   3 |   3   0   0 | 140   *   *   *   *   * |  1   3   0   0   0   0   0 |  3   3   0   0  0  0 | 3  1  0 0
x . x . . . |   4 |   2   2   0 |   * 210   *   *   *   * |  1   0   3   0   0   0   0 |  3   0   3   0  0  0 | 3  0  1 0
x . . x . . |   4 |   2   0   2 |   *   * 630   *   *   * |  0   1   1   2   0   0   0 |  1   2   2   1  0  0 | 2  1  1 0
. o3x . . . |   3 |   0   3   0 |   *   *   * 140   *   * |  1   0   0   0   3   0   0 |  3   0   0   0  3  0 | 3  0  0 1
. . x3x . . |   6 |   0   3   3 |   *   *   *   * 420   * |  0   0   1   0   1   2   0 |  1   0   2   0  2  1 | 2  0  1 1
. . . x3o . |   3 |   0   0   3 |   *   *   *   *   * 420 |  0   0   0   2   0   2   1 |  0   1   2   2  1  2 | 1  1  2 1
------------+-----+-------------+-------------------------+----------------------------+----------------------+----------
x3o3x . . . ♦  12 |  12  12   0 |   4   6   0   4   0   0 | 35   *   *   *   *   *   * |  3   0   0   0  0  0 | 3  0  0 0
x3o . x . . ♦   6 |   6   0   3 |   2   0   3   0   0   0 |  * 210   *   *   *   *   * |  1   2   0   0  0  0 | 2  1  0 0
x . x3x . . ♦  12 |   6   6   6 |   0   3   3   0   2   0 |  *   * 210   *   *   *   * |  1   0   2   0  0  0 | 2  0  1 0
x . . x3o . ♦   6 |   3   0   6 |   0   0   3   0   0   2 |  *   *   * 420   *   *   * |  0   1   1   1  0  0 | 1  1  1 0
. o3x3x . . ♦  12 |   0  12   6 |   0   0   0   4   4   0 |  *   *   *   * 105   *   * |  1   0   0   0  2  0 | 2  0  0 1
. . x3x3o . ♦  12 |   0   6  12 |   0   0   0   0   4   4 |  *   *   *   *   * 210   * |  0   0   1   0  1  1 | 1  0  1 1
. . . x3o3o ♦   4 |   0   0   6 |   0   0   0   0   0   4 |  *   *   *   *   *   * 105 |  0   0   0   2  0  2 | 0  1  2 1
------------+-----+-------------+-------------------------+----------------------------+----------------------+----------
x3o3x3x . . ♦  60 |  60  60  30 |  20  30  30  20  20   0 |  5  10  10   0   5   0   0 | 21   *   *   *  *  * | 2  0  0 0
x3o . x3o . ♦   9 |   9   0   9 |   3   0   9   0   0   3 |  0   3   0   3   0   0   0 |  * 140   *   *  *  * | 1  1  0 0
x . x3x3o . ♦  24 |  12  12  24 |   0   6  12   0   8   8 |  0   0   4   4   0   2   0 |  *   * 105   *  *  * | 1  0  1 0
x . . x3o3o ♦   8 |   4   0  12 |   0   0   6   0   0   8 |  0   0   0   4   0   0   2 |  *   *   * 105  *  * | 0  1  1 0
. o3x3x3o . ♦  30 |   0  30  30 |   0   0   0  10  20  10 |  0   0   0   0   5   5   0 |  *   *   *   * 42  * | 1  0  0 1
. . x3x3o3o ♦  20 |   0  10  30 |   0   0   0   0  10  20 |  0   0   0   0   0   5   5 |  *   *   *   *  * 42 | 0  0  1 1
------------+-----+-------------+-------------------------+----------------------------+----------------------+----------
x3o3x3x3o . ♦ 180 | 180 180 180 |  60  90 180  60 120  60 | 15  60  60  60  30  30   0 |  6  20  15   0  6  0 | 7  *  * *
x3o . x3o3o ♦  12 |  12   0  18 |   4   0  18   0   0  12 |  0   6   0  12   0   0   3 |  0   4   0   3  0  0 | * 35  * *
x . x3x3o3o ♦  40 |  20  20  60 |   0  10  30   0  20  40 |  0   0  10  20   0  10  10 |  0   0   5   5  0  2 | *  * 21 *
. o3x3x3o3o ♦  60 |   0  60  90 |   0   0   0  20  60  60 |  0   0   0   0  15  30  15 |  0   0   0   0  6  6 | *  *  * 7