Acronym rilalbril
Name rectified heptapeton atop inverted birectified heptapeton,
equatorial monostratic segment of demihepteract
Circumradius sqrt(7/8) = 0.935414
Confer
uniform relative:
hesa  
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3xo3oo3ox3oo3oo&#x   → height = sqrt(2/7) = 0.534522
(ril || inv bril)

o.3o.3o.3o.3o.3o.    | 21  * |  10  10   0 |  5  20  40  30   0   0 | 10  20  20  20  60  10  20   0   0  0 | 10 10 10  30  20  40   5   5  0  0  0 | 5 2 10  20 10  10  1 0 0 | 1 5  5 2 0
.o3.o3.o3.o3.o3.o    |  * 35 |   0   6  12 |  0   0  12  36  18  12 |  0   0   4   4  36  18  36  12  18  4 |  0  0  1  12  12  36  18  12  3 12  6 | 0 0  3  12 12  12  6 3 4 | 0 3  4 4 1
---------------------+-------+-------------+------------------------+---------------------------------------+---------------------------------------+--------------------------+-----------
.. x. .. .. .. ..    |  2  0 | 105   *   * |  1   4   4   0   0   0 |  4   6   4   4   6   0   0   0   0  0 |  6  4  4   6   6   4   0   0  0  0  0 | 4 1  6   4  4   1  0 0 0 | 1 4  1 1 0
oo3oo3oo3oo3oo3oo&#x |  1  1 |   * 210   * |  0   0   4   6   0   0 |  0   0   2   2  12   3   6   0   0  0 |  0  0  1   6   6  12   3   2  0  0  0 | 0 0  3   6  6   4  1 0 0 | 0 3  2 2 0
.. .. .. .x .. ..    |  0  2 |   *   * 210 |  0   0   0   3   3   2 |  0   0   0   0   3   3   6   3   6  1 |  0  0  0   1   3   6   6   3  1  6  3 | 0 0  1   2  6   3  3 2 3 | 0 2  1 3 1
---------------------+-------+-------------+------------------------+---------------------------------------+---------------------------------------+--------------------------+-----------
o.3x. .. .. .. ..    |  3  0 |   3   0   0 | 35   *   *   *   *   * |  4   0   4   0   0   0   0   0   0  0 |  6  0  4   6   0   0   0   0  0  0  0 | 4 0  6   4  0   0  0 0 0 | 1 4  1 0 0
.. x.3o. .. .. ..    |  3  0 |   3   0   0 |  * 140   *   *   *   * |  1   3   0   1   0   0   0   0   0  0 |  3  3  1   0   3   0   0   0  0  0  0 | 3 1  3   0  3   0  0 0 0 | 1 3  0 1 0
.. xo .. .. .. ..&#x |  2  1 |   1   2   0 |  *   * 420   *   *   * |  0   0   1   1   3   0   0   0   0  0 |  0  0  1   3   3   3   0   0  0  0  0 | 0 0  3   3  3   1  0 0 0 | 0 3  1 1 0
.. .. .. ox .. ..&#x |  1  2 |   0   2   1 |  *   *   * 630   *   * |  0   0   0   0   2   1   2   0   0  0 |  0  0  0   1   2   1   2   1  0  0  0 | 0 0  1   2  4   2  1 0 0 | 0 2  1 2 0
.. .. .o3.x .. ..    |  0  3 |   0   0   3 |  *   *   *   * 210   * |  0   0   0   0   0   1   0   2   2  0 |  0  0  0   0   2   0   2   0  1  4  1 | 0 0  1   0  4   0  1 2 2 | 0 2  0 2 1
.. .. .. .x3.o ..    |  0  3 |   0   0   3 |  *   *   *   *   * 140 |  0   0   0   0   0   0   3   0   3  1 |  0  0  0   0   0   3   3   3  0  3  3 | 0 0  0   1  3   3  3 1 3 | 0 1  1 3 1
---------------------+-------+-------------+------------------------+---------------------------------------+---------------------------------------+--------------------------+-----------
o.3x.3o. .. .. ..      6  0 |  12   0   0 |  4   4   0   0   0   0 | 35   *   *   *   *   *   *   *   *  * |  3  0  1   0   0   0   0   0  0  0  0 | 3 0  3   0  0   0  0 0 0 | 1 3  0 0 0
.. x.3o.3o. .. ..      4  0 |   6   0   0 |  0   4   0   0   0   0 |  * 105   *   *   *   *   *   *   *  * |  1  2  0   0   1   0   0   0  0  0  0 | 2 1  1   0  2   0  0 0 0 | 1 2  0 1 0
oo3xo .. .. .. ..&#x   3  1 |   3   3   0 |  1   0   3   0   0   0 |  *   * 140   *   *   *   *   *   *  * |  0  0  1   3   0   0   0   0  0  0  0 | 0 0  3   3  0   0  0 0 0 | 0 3  1 0 0
.. xo3oo .. .. ..&#x   3  1 |   3   3   0 |  0   1   3   0   0   0 |  *   *   * 140   *   *   *   *   *  * |  0  0  1   0   3   0   0   0  0  0  0 | 0 0  3   0  3   0  0 0 0 | 0 3  0 1 0
.. xo .. ox .. ..&#x   2  2 |   1   4   1 |  0   0   2   2   0   0 |  *   *   *   * 630   *   *   *   *  * |  0  0  0   1   1   2   0   0  0  0  0 | 0 0  1   2  2   1  0 0 0 | 0 2  1 1 0
.. .. oo3ox .. ..&#x   1  3 |   0   3   3 |  0   0   0   3   1   0 |  *   *   *   *   * 210   *   *   *  * |  0  0  0   0   2   0   2   0  0  0  0 | 0 0  1   0  4   0  1 0 0 | 0 2  0 2 0
.. .. .. ox3oo ..&#x   1  3 |   0   3   3 |  0   0   0   3   0   1 |  *   *   *   *   *   * 420   *   *  * |  0  0  0   0   0   2   1   1  0  0  0 | 0 0  0   1  2   2  1 0 0 | 0 1  1 2 0
.. .o3.o3.x .. ..      0  4 |   0   0   6 |  0   0   0   0   4   0 |  *   *   *   *   *   *   * 105   *  * |  0  0  0   0   1   0   0   0  1  2  0 | 0 0  1   0  2   0  0 2 1 | 0 2  0 1 1
.. .. .o3.x3.o ..      0  6 |   0   0  12 |  0   0   0   0   4   4 |  *   *   *   *   *   *   *   * 105  * |  0  0  0   0   0   0   1   0  0  2  1 | 0 0  0   0  2   0  1 1 2 | 0 1  0 2 1
.. .. .. .x3.o3.o      0  4 |   0   0   6 |  0   0   0   0   0   4 |  *   *   *   *   *   *   *   *   * 35 |  0  0  0   0   0   0   0   3  0  0  3 | 0 0  0   0  0   3  3 0 3 | 0 0  1 3 1
---------------------+-------+-------------+------------------------+---------------------------------------+---------------------------------------+--------------------------+-----------
o.3x.3o.3o. .. ..     10  0 |  30   0   0 | 10  20   0   0   0   0 |  5   5   0   0   0   0   0   0   0  0 | 21  *  *   *   *   *   *   *  *  *  * | 2 0  1   0  0   0  0 0 0 | 1 2  0 0 0
.. x.3o.3o.3o. ..      5  0 |  10   0   0 |  0  10   0   0   0   0 |  0   5   0   0   0   0   0   0   0  0 |  * 42  *   *   *   *   *   *  *  *  * | 1 1  0   0  1   0  0 0 0 | 1 1  0 1 0
oo3xo3oo .. .. ..&#x   6  1 |  12   6   0 |  4   4  12   0   0   0 |  1   0   4   4   0   0   0   0   0  0 |  *  * 35   *   *   *   *   *  *  *  * | 0 0  3   0  0   0  0 0 0 | 0 3  0 0 0
oo3xo .. ox .. ..&#x   3  2 |   3   6   1 |  1   0   6   3   0   0 |  0   0   2   0   3   0   0   0   0  0 |  *  *  * 210   *   *   *   *  *  *  * | 0 0  1   2  0   0  0 0 0 | 0 2  1 0 0
.. xo3oo3ox .. ..&#x   4  4 |   6  12   6 |  0   4  12  12   4   0 |  0   1   0   4   6   4   0   1   0  0 |  *  *  *   * 105   *   *   *  *  *  * | 0 0  1   0  2   0  0 0 0 | 0 2  0 1 0
.. xo .. ox3oo ..&#x   2  3 |   1   6   3 |  0   0   3   6   0   1 |  0   0   0   0   3   0   2   0   0  0 |  *  *  *   *   * 420   *   *  *  *  * | 0 0  0   1  1   1  0 0 0 | 0 1  1 1 0
.. .. oo3ox3oo ..&#x   1  6 |   0   6  12 |  0   0   0  12   4   4 |  0   0   0   0   0   4   4   0   1  0 |  *  *  *   *   *   * 105   *  *  *  * | 0 0  0   0  2   0  1 0 0 | 0 1  0 2 0
.. .. .. ox3oo3oo&#x   1  4 |   0   4   6 |  0   0   0   6   0   4 |  0   0   0   0   0   0   4   0   0  1 |  *  *  *   *   *   *   * 105  *  *  * | 0 0  0   0  0   2  1 0 0 | 0 0  1 2 0
.o3.o3.o3.x .. ..      0  5 |   0   0  10 |  0   0   0   0  10   0 |  0   0   0   0   0   0   0   5   0  0 |  *  *  *   *   *   *   *   * 21  *  * | 0 0  1   0  0   0  0 2 0 | 0 2  0 0 1
.. .o3.o3.x3.o ..      0 10 |   0   0  30 |  0   0   0   0  20  10 |  0   0   0   0   0   0   0   5   5  0 |  *  *  *   *   *   *   *   *  * 42  * | 0 0  0   0  1   0  0 1 1 | 0 1  0 1 1
.. .. .o3.x3.o3.o      0 10 |   0   0  30 |  0   0   0   0  10  20 |  0   0   0   0   0   0   0   0   5  5 |  *  *  *   *   *   *   *   *  *  * 21 | 0 0  0   0  0   0  1 0 2 | 0 0  0 2 1
---------------------+-------+-------------+------------------------+---------------------------------------+---------------------------------------+--------------------------+-----------
o.3x.3o.3o.3o. ..     15  0 |  60   0   0 | 20  60   0   0   0   0 | 15  30   0   0   0   0   0   0   0  0 |  6  6  0   0   0   0   0   0  0  0  0 | 7 *  *   *  *   *  * * * | 1 1  0 0 0
.. x.3o.3o.3o.3o.      6  0 |  15   0   0 |  0  20   0   0   0   0 |  0  15   0   0   0   0   0   0   0  0 |  0  6  0   0   0   0   0   0  0  0  0 | * 7  *   *  *   *  * * * | 1 0  0 1 0
oo3xo3oo3ox .. ..&#x  10  5 |  30  30  10 | 10  20  60  30  10   0 |  5   5  20  20  30  10   0   5   0  0 |  1  0  5  10   5   0   0   0  1  0  0 | * * 21   *  *   *  * * * | 0 2  0 0 0
oo3xo .. ox3oo ..&#x   3  3 |   3   9   3 |  1   0   9   9   0   1 |  0   0   3   0   9   0   3   0   0  0 |  0  0  0   3   0   3   0   0  0  0  0 | * *  * 140  *   *  * * * | 0 1  1 0 0
.. xo3oo3ox3oo ..&#x   5 10 |  10  30  30 |  0  10  30  60  20  10 |  0   5   0  10  30  20  20   5   5  0 |  0  1  0   0   5  10   5   0  0  1  0 | * *  *   * 42   *  * * * | 0 1  0 1 0
.. xo .. ox3oo3oo&#x   2  4 |   1   8   6 |  0   0   4  12   0   4 |  0   0   0   0   6   0   8   0   0  1 |  0  0  0   0   0   4   0   2  0  0  0 | * *  *   *  * 105  * * * | 0 0  1 1 0
.. .. oo3ox3oo3oo&#x   1 10 |   0  10  30 |  0   0   0  30  10  20 |  0   0   0   0   0  10  20   0   5  5 |  0  0  0   0   0   0   5   5  0  0  1 | * *  *   *  *   * 21 * * | 0 0  0 2 0
.o3.o3.o3.x3.o ..      0 15 |   0   0  60 |  0   0   0   0  60  20 |  0   0   0   0   0   0   0  30  15  0 |  0  0  0   0   0   0   0   0  6  6  0 | * *  *   *  *   *  * 7 * | 0 1  0 0 1
.. .o3.o3.x3.o3.o      0 20 |   0   0  90 |  0   0   0   0  60  60 |  0   0   0   0   0   0   0  15  30 15 |  0  0  0   0   0   0   0   0  0  6  6 | * *  *   *  *   *  * * 7 | 0 0  0 1 1
---------------------+-------+-------------+------------------------+---------------------------------------+---------------------------------------+--------------------------+-----------
o.3x.3o.3o.3o.3o.     21  0 | 105   0   0 | 35 140   0   0   0   0 | 35 105   0   0   0   0   0   0   0  0 | 21 42  0   0   0   0   0   0  0  0  0 | 7 7  0   0  0   0  0 0 0 | 1 *  * * *
oo3xo3oo3ox3oo ..&#x  15 15 |  60  90  60 | 20  60 180 180  60  20 | 15  30  60  60 180  60  60  30  15  0 |  6  6 15  60  30  60  15   0  6  6  0 | 1 0  6  20  6   0  0 1 0 | * 7  * * *
oo3xo .. ox3oo3oo&#x   3  4 |   3  12   6 |  1   0  12  18   0   4 |  0   0   4   0  18   0  12   0   0  1 |  0  0  0   6   0  12   0   3  0  0  0 | 0 0  0   4  0   3  0 0 0 | * * 35 * *
.. xo3oo3ox3oo3oo&#x   6 20 |  15  60  90 |  0  20  60 180  60  60 |  0  15   0  20  90  60 120  15  30 15 |  0  6  0   0  15  60  30  30  0  6  6 | 0 1  0   0  6  15  6 0 1 | * *  * 7 *
.o3.o3.o3.x3.o3.o      0 35 |   0   0 210 |  0   0   0   0 210 140 |  0   0   0   0   0   0   0 105 105 35 |  0  0  0   0   0   0   0   0 21 42 21 | 0 0  0   0  0   0  0 7 7 | * *  * * 1

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