Acronym hopabril
Name heptapeton atop birectified heptapeton,
hop-first monostratic cap of hesa
Circumradius sqrt(7/8) = 0.935414
Confer
uniform relative:
hesa  
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3oo3oo3xo3oo3ox&#x   → height = sqrt(2/7) = 0.534522
(hop || bril)

o.3o.3o.3o.3o.3o.    | 35 * |  12   3  0 |  18  12  24   3  0 |  12  18  4  36  12  12  1  0 |  3 12  6  24  18  18  4  0 | 3 4  6 12  12  6 0 | 1 3  3 4 0
.o3.o3.o3.o3.o3.o    |  * 7 |   0  15  6 |   0   0  60  30 15 |   0   0  0  60  20  60 15 20 |  0  0  0  30  15  60 20 25 | 0 0  6  6  30 15 6 | 0 1  6 6 1
---------------------+------+------------+--------------------+------------------------------+----------------------------+--------------------+-----------
.. .. .. x. .. ..    |  2 0 | 210   *  * |   3   2   2   0  0 |   3   6  1   6   2   1  0  0 |  1  6  3   6   6   3  1  0 | 2 3  2  6   3  3 0 | 1 2  1 3 0
oo3oo3oo3oo3oo3oo&#x |  1 1 |   * 105  * |   0   0   8   2  0 |   0   0  0  12   4   8  1  0 |  0  0  0   8   6  12  4  0 | 1 4  2  4   8  6 0 | 0 1  2 4 0
.. .. .. .. .. .x    |  0 2 |   *   * 21 |   0   0   0   5  5 |   0   0  0   0   0  10  5 10 |  0  0  0   0   0  10 10 10 | 0 0  0  0   5 10 5 | 0 0  1 5 1
---------------------+------+------------+--------------------+------------------------------+----------------------------+--------------------+-----------
.. .. o.3x. .. ..    |  3 0 |   3   0  0 | 210   *   *   *  * |   2   2  0   2   0   0  0  0 |  1  4  1   4   2   1  0  0 | 2 2  2  4   2  1 0 | 1 2  1 2 0
.. .. .. x.3o. ..    |  3 0 |   3   0  0 |   * 140   *   *  * |   0   3  1   0   1   0  0  0 |  0  3  3   0   3   0  1  0 | 1 3  0  3   0  3 0 | 1 1  0 3 0
.. .. .. xo .. ..&#x |  2 1 |   1   2  0 |   *   * 420   *  * |   0   0  0   3   1   1  0  0 |  0  0  0   3   3   3  1  0 | 0 0  1  3   3  3 0 | 0 1  1 3 0
.. .. .. .. .. ox&#x |  1 2 |   0   2  1 |   *   *   * 105  * |   0   0  0   0   0   4  1  0 |  0  0  0   0   0   6  4  0 | 0 0  0  0   4  6 0 | 0 0  1 4 0
.. .. .. .. .o3.x    |  0 3 |   0   0  3 |   *   *   *   * 35 |   0   0  0   0   0   0  1  4 |  0  0  0   0   0   0  4  6 | 0 0  0  0   0  6 4 | 0 0  0 4 1
---------------------+------+------------+--------------------+------------------------------+----------------------------+--------------------+-----------
.. o.3o.3x. .. ..      4 0 |   6   0  0 |   4   0   0   0  0 | 105   *  *   *   *   *  *  * |  1  2  0   2   0   0  0  0 | 2 1  2  2   1  0 0 | 1 2  1 1 0
.. .. o.3x.3o. ..      6 0 |  12   0  0 |   4   4   0   0  0 |   * 105  *   *   *   *  *  * |  0  2  1   0   1   0  0  0 | 1 2  0  2   0  1 0 | 1 1  0 2 0
.. .. .. x.3o.3o.      4 0 |   6   0  0 |   0   4   0   0  0 |   *   * 35   *   *   *  *  * |  0  0  3   0   0   0  1  0 | 0 3  0  0   0  3 0 | 1 0  0 3 0
.. .. oo3xo .. ..&#x   3 1 |   3   3  0 |   1   0   3   0  0 |   *   *  * 420   *   *  *  * |  0  0  0   2   1   1  0  0 | 0 0  1  2   2  1 0 | 0 1  1 2 0
.. .. .. xo3oo ..&#x   3 1 |   3   3  0 |   0   1   3   0  0 |   *   *  *   * 140   *  *  * |  0  0  0   0   3   0  1  0 | 0 0  0  3   0  3 0 | 0 1  0 3 0
.. .. .. xo .. ox&#x   2 2 |   1   4  1 |   0   0   2   2  0 |   *   *  *   *   * 210  *  * |  0  0  0   0   0   3  1  0 | 0 0  0  0   3  3 0 | 0 0  1 3 0
.. .. .. .. oo3ox&#x   1 3 |   0   3  3 |   0   0   0   3  1 |   *   *  *   *   *   * 35  * |  0  0  0   0   0   0  4  0 | 0 0  0  0   0  6 0 | 0 0  0 4 0
.. .. .. .o3.o3.x      0 4 |   0   0  6 |   0   0   0   0  4 |   *   *  *   *   *   *  * 35 |  0  0  0   0   0   0  1  3 | 0 0  0  0   0  3 3 | 0 0  0 3 1
---------------------+------+------------+--------------------+------------------------------+----------------------------+--------------------+-----------
o.3o.3o.3x. .. ..      5 0 |  10   0  0 |  10   0   0   0  0 |   5   0  0   0   0   0  0  0 | 21  *  *   *   *   *  *  * | 2 0  2  0   0  0 0 | 1 2  1 0 0
.. o.3o.3x.3o. ..     10 0 |  30   0  0 |  20  10   0   0  0 |   5   5  0   0   0   0  0  0 |  * 42  *   *   *   *  *  * | 1 1  0  1   0  0 0 | 1 1  0 1 0
.. .. o.3x.3o.3o.     10 0 |  30   0  0 |  10  20   0   0  0 |   0   5  5   0   0   0  0  0 |  *  * 21   *   *   *  *  * | 0 2  0  0   0  1 0 | 1 0  0 2 0
.. oo3oo3xo .. ..&#x   4 1 |   6   4  0 |   4   0   6   0  0 |   1   0  0   4   0   0  0  0 |  *  *  * 210   *   *  *  * | 0 0  1  1   1  0 0 | 0 1  1 1 0
.. .. oo3xo3oo ..&#x   6 1 |  12   6  0 |   4   4  12   0  0 |   0   1  0   4   4   0  0  0 |  *  *  *   * 105   *  *  * | 0 0  0  2   0  1 0 | 0 1  0 2 0
.. .. oo3xo .. ox&#x   3 2 |   3   6  1 |   1   0   6   3  0 |   0   0  0   2   0   3  0  0 |  *  *  *   *   * 210  *  * | 0 0  0  0   2  1 0 | 0 0  1 2 0
.. .. .. xo3oo3ox&#x   4 4 |   6  12  6 |   0   4  12  12  4 |   0   0  1   0   4   6  4  1 |  *  *  *   *   *   * 35  * | 0 0  0  0   0  3 0 | 0 0  0 3 0
.. .. .o3.o3.o3.x      0 5 |   0   0 10 |   0   0   0   0 10 |   0   0  0   0   0   0  0  5 |  *  *  *   *   *   *  * 21 | 0 0  0  0   0  1 2 | 0 0  0 2 1
---------------------+------+------------+--------------------+------------------------------+----------------------------+--------------------+-----------
o.3o.3o.3x.3o. ..     15 0 |  60   0  0 |  60  20   0   0  0 |  30  15  0   0   0   0  0  0 |  6  6  0   0   0   0  0  0 | 7 *  *  *   *  * * | 1 1  0 0 0
.. o.3o.3x.3o.3o.     20 0 |  90   0  0 |  60  60   0   0  0 |  15  30 15   0   0   0  0  0 |  0  6  6   0   0   0  0  0 | * 7  *  *   *  * * | 1 0  1 0 0
oo3oo3oo3xo .. ..&#x   5 1 |  10   5  0 |  10   0  10   0  0 |   5   0  0  10   0   0  0  0 |  1  0  0   5   0   0  0  0 | * * 42  *   *  * * | 0 1  1 0 0
.. oo3oo3xo3oo ..&#x  10 1 |  30  10  0 |  20  10  30   0  0 |   5   5  0  20  10   0  0  0 |  0  1  0   5   5   0  0  0 | * *  * 42   *  * * | 0 1  0 1 0
.. oo3oo3xo .. ox&#x   4 2 |   6   8  1 |   4   0  12   4  0 |   1   0  0   8   0   6  0  0 |  0  0  0   2   0   4  0  0 | * *  *  * 105  * * | 0 0  1 1 0
.. .. oo3xo3oo3ox&#x  10 5 |  30  30 10 |  10  20  60  30 10 |   0   5  5  20  20  30 10  5 |  0  0  1   0   5  10  5  1 | * *  *  *   * 21 * | 0 0  0 2 0
.. .o3.o3.o3.o3.x      0 6 |   0   0 15 |   0   0   0   0 20 |   0   0  0   0   0   0  0 15 |  0  0  0   0   0   0  0  6 | * *  *  *   *  * 7 | 0 0  0 1 1
---------------------+------+------------+--------------------+------------------------------+----------------------------+--------------------+-----------
o.3o.3o.3x.3o.3o.     35 0 | 210   0  0 | 210 140   0   0  0 | 105 105 35   0   0   0  0  0 | 21 42 21   0   0   0  0  0 | 7 7  0  0   0  0 0 | 1 *  * * *
oo3oo3oo3xo3oo ..&#x  15 1 |  60  15  0 |  60  20  60   0  0 |  30  15  0  60  20   0  0  0 |  6  6  0  30  15   0  0  0 | 1 0  6  6   0  0 0 | * 7  * * *
oo3oo3oo3xo .. ox&#x   5 2 |  10  10  1 |  10   0  20   5  0 |   5   0  0  20   0  10  0  0 |  1  0  0  10   0  10  0  0 | 0 0  2  0   5  0 0 | * * 21 * *
.. oo3oo3xo3oo3ox&#x  20 6 |  90  60 15 |  60  60 180  60 20 |  15  30 15 120  60  90 20 15 |  0  6  6  30  30  60 15  6 | 0 1  0  6  15  6 1 | * *  * 7 *
.o3.o3.o3.o3.o3.x      0 7 |   0   0 21 |   0   0   0   0 35 |   0   0  0   0   0   0  0 35 |  0  0  0   0   0   0  0 21 | 0 0  0  0   0  0 7 | * *  * * 1

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