Acronym	gabril
Name	great birhombated heptapeton, bicantitruncated heptapeton
Circumradius	sqrt(40/7) = 2.390457
Face vector	420, 1260, 1540, 960, 329, 49
Confer	general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

o3x3x3x3o3o

. . . . . . | 420 |   2   1   3 |   1   2   6   3   3 |  1   3   6   6   3   1 |  3   3  6   2  1 | 3  1 2
------------+-----+-------------+---------------------+------------------------+------------------+-------
. x . . . . |   2 | 420   *   * |   1   1   3   0   0 |  1   3   3   3   0   0 |  3   3  3   1  0 | 3  1 1
. . x . . . |   2 |   * 210   * |   0   2   0   3   0 |  1   0   6   0   3   0 |  3   0  6   0  1 | 3  0 2
. . . x . . |   2 |   *   * 630 |   0   0   2   1   2 |  0   1   2   4   2   1 |  1   2  4   2  1 | 2  1 2
------------+-----+-------------+---------------------+------------------------+------------------+-------
o3x . . . . |   3 |   3   0   0 | 140   *   *   *   * |  1   3   0   0   0   0 |  3   3  0   0  0 | 3  1 0
. x3x . . . |   6 |   3   3   0 |   * 140   *   *   * |  1   0   3   0   0   0 |  3   0  3   0  0 | 3  0 1
. x . x . . |   4 |   2   0   2 |   *   * 630   *   * |  0   1   1   2   0   0 |  1   2  2   1  0 | 2  1 1
. . x3x . . |   6 |   0   3   3 |   *   *   * 210   * |  0   0   2   0   2   0 |  1   0  4   0  1 | 2  0 2
. . . x3o . |   3 |   0   0   3 |   *   *   *   * 420 |  0   0   0   2   1   1 |  0   1  2   2  1 | 1  1 2
------------+-----+-------------+---------------------+------------------------+------------------+-------
o3x3x . . . ♦  12 |  12   6   0 |   4   4   0   0   0 | 35   *   *   *   *   * |  3   0  0   0  0 | 3  0 0
o3x . x . . ♦   6 |   6   0   3 |   2   0   3   0   0 |  * 210   *   *   *   * |  1   2  0   0  0 | 2  1 0
. x3x3x . . ♦  24 |  12  12  12 |   0   4   6   4   0 |  *   * 105   *   *   * |  1   0  2   0  0 | 2  0 1
. x . x3o . ♦   6 |   3   0   6 |   0   0   3   0   2 |  *   *   * 420   *   * |  0   1  1   1  0 | 1  1 1
. . x3x3o . ♦  12 |   0   6  12 |   0   0   0   4   4 |  *   *   *   * 105   * |  0   0  2   0  1 | 1  0 2
. . . x3o3o ♦   4 |   0   0   6 |   0   0   0   0   4 |  *   *   *   *   * 105 |  0   0  0   2  1 | 0  1 2
------------+-----+-------------+---------------------+------------------------+------------------+-------
o3x3x3x . . ♦  60 |  60  30  30 |  20  20  30  10   0 |  5  10   5   0   0   0 | 21   *  *   *  * | 2  0 0
o3x . x3o . ♦   9 |   9   0   9 |   3   0   9   0   3 |  0   3   0   3   0   0 |  * 140  *   *  * | 1  1 0
. x3x3x3o . ♦  60 |  30  30  60 |   0  10  30  20  20 |  0   0   5  10   5   0 |  *   * 42   *  * | 1  0 1
. x . x3o3o ♦   8 |   4   0  12 |   0   0   6   0   8 |  0   0   0   4   0   2 |  *   *  * 105  * | 0  1 1
. . x3x3o3o ♦  20 |   0  10  30 |   0   0   0  10  20 |  0   0   0   0   5   5 |  *   *  *   * 21 | 0  0 2
------------+-----+-------------+---------------------+------------------------+------------------+-------
o3x3x3x3o . ♦ 180 | 180  90 180 |  60  60 180  60  60 | 15  60  30  60  15   0 |  6  20  6   0  0 | 7  * *
o3x . x3o3o ♦  12 |  12   0  18 |   4   0  18   0  12 |  0   6   0  12   0   3 |  0   4  0   3  0 | * 35 *
. x3x3x3o3o ♦ 120 |  60  60 180 |   0  20  90  60 120 |  0   0  15  60  30  30 |  0   0  6  15  6 | *  * 7