Acronym	gril
Name	great rhombated heptapeton, cantitruncated heptapeton
Circumradius	sqrt(31/7) = 2.104417
Face vector	210, 630, 805, 560, 210, 35
Confer	general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

x3x3x3o3o3o

. . . . . . | 210 |   1   1   4 |  1   4   4   6 |  4   6   6   4 |  6   4  4  1 | 4  1 1
------------+-----+-------------+----------------+----------------+--------------+-------
x . . . . . |   2 | 105   *   * |  1   4   0   0 |  4   6   0   0 |  6   4  0  0 | 4  1 0
. x . . . . |   2 |   * 105   * |  1   0   4   0 |  4   0   6   0 |  6   0  4  0 | 4  0 1
. . x . . . |   2 |   *   * 420 |  0   1   1   3 |  1   3   3   3 |  3   3  3  1 | 3  1 1
------------+-----+-------------+----------------+----------------+--------------+-------
x3x . . . . |   6 |   3   3   0 | 35   *   *   * ♦  4   0   0   0 |  6   0  0  0 | 4  0 0
x . x . . . |   4 |   2   0   2 |  * 210   *   * |  1   3   0   0 |  3   3  0  0 | 3  1 0
. x3x . . . |   6 |   0   3   3 |  *   * 140   * |  1   0   3   0 |  3   0  3  0 | 3  0 1
. . x3o . . |   3 |   0   0   3 |  *   *   * 420 |  0   1   1   2 |  1   2  2  1 | 2  1 1
------------+-----+-------------+----------------+----------------+--------------+-------
x3x3x . . . ♦  24 |  12  12  12 |  4   6   4   0 | 35   *   *   * |  3   0  0  0 | 3  0 0
x . x3o . . ♦   6 |   3   0   6 |  0   3   0   2 |  * 210   *   * |  1   2  0  0 | 2  1 0
. x3x3o . . ♦  12 |   0   6  12 |  0   0   4   4 |  *   * 105   * |  1   0  2  0 | 2  0 1
. . x3o3o . ♦   4 |   0   0   6 |  0   0   0   4 |  *   *   * 210 |  0   1  1  1 | 1  1 1
------------+-----+-------------+----------------+----------------+--------------+-------
x3x3x3o . . ♦  60 |  30  30  60 | 10  30  20  20 |  5  10   5   0 | 21   0  0  0 | 2  0 0
x . x3o3o . ♦   8 |   4   0  12 |  0   6   0   8 |  0   4   0   2 |  * 105  *  * | 1  1 0
. x3x3o3o . ♦  20 |   0  10  30 |  0   0  10  20 |  0   0   5   5 |  *   * 42  * | 1  0 1
. . x3o3o3o ♦   5 |   0   0  10 |  0   0   0  10 |  0   0   0   5 |  *   *  * 42 | 0  1 1
------------+-----+-------------+----------------+----------------+--------------+-------
x3x3x3o3o . ♦ 120 |  60  60 180 | 20  90  60 120 | 15  60  30  30 |  6  15  6  0 | 7  * *
x . x3o3o3o ♦  10 |   5   0  20 |  0  10   0  20 |  0  10   0  10 |  0   5  0  2 | * 21 *
. x3x3o3o3o ♦  30 |   0  15  60 |  0   0  20  60 |  0   0  15  30 |  0   0  6  6 | *  * 7