Acronym hopalbril
Name hop atop inverted bril,
hop-first cap of laq
Circumradius 1
Confer
uniform relative:
laq  
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3oo3oo3ox3oo3oo&#x   → height = 1/sqrt(7) = 0.377964
(hop || inv bril)

o.3o.3o.3o.3o.3o.    | 7  * |  6  20   0 | 15  60  90   0   0 | 20  60 180  60  60   0   0  0 | 15 20  90  60 120  15  30  15  0  0  0 | 6 15  60  30  30  6  6 0 0 | 1 6 15  6 1 0
.o3.o3.o3.o3.o3.o    | * 35 |  0   4  12 |  0   6  36  18  12 |  0   4  36  36  36  12  18  4 |  0  1  12  18  36  12  36  12  3 12  6 | 0  3  12  18  12 12 12 3 4 | 0 3  4 12 4 1
---------------------+------+------------+--------------------+-------------------------------+----------------------------------------+----------------------------+--------------
x. .. .. .. .. ..    | 2  0 | 21   *   *   5  10   0   0   0 | 10  20  30   0   0   0   0  0 | 10 10  30  10  20   0   0   0  0  0  0 | 5 10  20   5   5  0  0 0 0 | 1 5  5  1 0 0
oo3oo3oo3oo3oo3oo&#x | 1  1 |  * 140   * |  0   3   9   0   0 |  0   3  18   9   9   0   0  0 |  0  1   9   9  18   3   9   3  0  0  0 | 0  3   9   9   6  3  3 0 0 | 0 3  3  3 1 0
.. .. .. .x .. ..    | 0  2 |  *   * 210 |  0   0   3   3   2 |  0   0   3   6   6   3   6  1 |  0  0   1   3   6   3  12   3  1  6  3 | 0  1   2   6   3  6  6 2 3 | 0 2  1  3 3 1
---------------------+------+------------+--------------------+-------------------------------+----------------------------------------+----------------------------+--------------
x.3o. .. .. .. ..    | 3  0 |  3   0   0 | 35   *   *   *   *   4   4   0   0   0   0   0  0 |  6  4   6   0   0   0   0   0  0  0  0 | 4  6   4   0   0  0  0 0 0 | 1 4  1  0 0 0
xo .. .. .. .. ..&#x | 2  1 |  1   2   0 |  * 210   *   *   *   0   2   6   0   0   0   0  0 |  0  1   6   3   6   0   0   0  0  0  0 | 0  3   6   3   2  0  0 0 0 | 0 3  2  1 0 0
.. .. .. ox .. ..&#x | 1  2 |  0   2   1 |  *   * 630   *   * |  0   0   2   2   2   0   0  0 |  0  0   1   2   4   1   4   1  0  0  0 | 0  1   2   4   2  2  2 0 0 | 0 2  1  2 1 0
.. .. .o3.x .. ..    | 0  3 |  0   0   3 |  *   *   * 210   * |  0   0   0   2   0   2   2  0 |  0  0   0   1   0   2   4   0  1  4  1 | 0  1   0   2   0  4  2 2 2 | 0 2  0  1 2 1
.. .. .. .x3.o ..    | 0  3 |  0   0   3 |  *   *   *   * 140 |  0   0   0   0   3   0   3  1 |  0  0   0   0   3   0   6   3  0  3  3 | 0  0   1   3   3  3  6 1 3 | 0 1  1  3 3 1
---------------------+------+------------+--------------------+-------------------------------+----------------------------------------+----------------------------+--------------
x.3o.3o. .. .. ..     4  0 |  6   0   0 |  4   0   0   0   0 | 35   *   *   *   *   *   *  * |  3  1   0   0   0   0   0   0  0  0  0 | 3  3   0   0   0  0  0 0 0 | 1 3  0  0 0 0
xo3oo .. .. .. ..&#x  3  1 |  3   3   0 |  1   3   0   0   0 |  * 140   *   *   *   *   *  * |  0  1   3   0   0   0   0   0  0  0  0 | 0  3   3   0   0  0  0 0 0 | 0 3  1  0 0 0
xo .. .. ox .. ..&#x  2  2 |  1   4   1 |  0   2   2   0   0 |  *   * 630   *   *   *   *  * |  0  0   1   1   2   0   0   0  0  0  0 | 0  1   2   2   1  0  0 0 0 | 0 2  1  1 0 0
.. .. oo3ox .. ..&#x  1  3 |  0   3   3 |  0   0   3   1   0 |  *   *   * 420   *   *   *  * |  0  0   0   1   0   1   2   0  0  0  0 | 0  1   0   2   0  2  1 0 0 | 0 2  0  1 1 0
.. .. .. ox3oo ..&#x  1  3 |  0   3   3 |  0   0   3   0   1 |  *   *   *   * 420   *   *  * |  0  0   0   0   2   0   0   2  1  0  0 | 0  0   1   2   2  1  2 0 0 | 0 1  1  2 1 0
.. .o3.o3.x .. ..     0  4 |  0   0   6 |  0   0   0   4   0 |  *   *   *   *   * 105   *  * |  0  0   0   0   0   1   0   0  1  2  0 | 0  1   0   0   0  2  0 2 1 | 0 2  0  0 1 1
.. .. .o3.x3.o ..     0  6 |  0   0  12 |  0   0   0   4   4 |  *   *   *   *   *   * 105  * |  0  0   0   0   0   0   2   0  0  2  1 | 0  0   0   1   0  2  2 1 2 | 0 1  0  1 2 1
.. .. .. .x3.o3.o     0  4 |  0   0   6 |  0   0   0   0   4 |  *   *   *   *   *   *   * 35 |  0  0   0   0   0   0   0   3  0  0  3 | 0  0   0   0   3  0  6 0 3 | 0 0  1  3 3 1
---------------------+------+------------+--------------------+-------------------------------+----------------------------------------+----------------------------+--------------
x.3o.3o.3o. .. ..     5  0 | 10   0   0 | 10   0   0   0   0 |  5   0   0   0   0   0   0  0 | 21  *   *   *   *   *   *   *  *  *  * | 2  1   0   0   0  0  0 0 0 | 1 2  0  0 0 0
xo3oo3oo .. .. ..&#x  4  1 |  6   4   0 |  4   6   0   0   0 |  1   4   0   0   0   0   0  0 |  * 35   *   *   *   *   *   *  *  *  * | 0  3   0   0   0  0  0 0 0 | 0 3  0  0 0 0
xo3oo .. ox .. ..&#x  3  2 |  3   6   1 |  1   6   3   0   0 |  0   2   3   0   0   0   0  0 |  *  * 210   *   *   *   *   *  *  *  * | 0  1   2   0   0  0  0 0 0 | 0 2  1  0 0 0
xo .. oo3ox .. ..&#x  2  3 |  1   6   3 |  0   3   6   1   0 |  0   0   3   2   0   0   0  0 |  *  *   * 210   *   *   *   *  *  *  * | 0  1   0   2   0  0  0 0 0 | 0 2  0  1 0 0
xo .. .. ox3oo ..&#x  2  3 |  1   6   3 |  0   3   6   0   1 |  0   0   3   0   2   0   0  0 |  *  *   *   * 420   *   *   *  *  *  * | 0  0   1   1   1  0  0 0 0 | 0 1  1  1 0 0
.. oo3oo3ox .. ..&#x  1  4 |  0   4   6 |  0   0   6   4   0 |  0   0   0   4   0   1   0  0 |  *  *   *   *   * 105   *   *  *  *  * | 0  1   0   0   0  2  0 0 0 | 0 2  0  0 1 0
.. .. oo3ox3oo ..&#x  1  6 |  0   6  12 |  0   0  12   4   4 |  0   0   0   4   4   0   1  0 |  *  *   *   *   *   * 210   *  *  *  * | 0  0   0   1   0  1  1 0 0 | 0 1  0  1 1 0
.. .. .. ox3oo3oo&#x  1  4 |  0   4   6 |  0   0   6   0   4 |  0   0   0   0   4   0   0  1 |  *  *   *   *   *   *   * 105  *  *  * | 0  0   0   0   2  0  2 0 0 | 0 0  1  2 1 0
.o3.o3.o3.x .. ..     0  5 |  0   0  10 |  0   0   0  10   0 |  0   0   0   0   0   5   0  0 |  *  *   *   *   *   *   *   * 21  *  * | 0  1   0   0   0  0  0 2 0 | 0 2  0  0 0 1
.. .o3.o3.x3.o ..     0 10 |  0   0  30 |  0   0   0  20  10 |  0   0   0   0   0   5   5  0 |  *  *   *   *   *   *   *   *  * 42  * | 0  0   0   0   0  1  0 1 1 | 0 1  0  0 1 1
.. .. .o3.x3.o3.o     0 10 |  0   0  30 |  0   0   0  10  20 |  0   0   0   0   0   0   5  5 |  *  *   *   *   *   *   *   *  *  * 21 | 0  0   0   0   0  0  2 0 2 | 0 0  0  1 2 1
---------------------+------+------------+--------------------+-------------------------------+----------------------------------------+----------------------------+--------------
x.3o.3o.3o.3o. ..     6  0 | 15   0   0 | 20   0   0   0   0 | 15   0   0   0   0   0   0  0 |  6  0   0   0   0   0   0   0  0  0  0 | 7  *   *   *   *  *  * * * | 1 1  0  0 0 0
xo3oo3oo3ox .. ..&#x  5  5 | 10  20  10 | 10  30  30  10   0 |  5  20  30  20   0   5   0  0 |  1  5  10  10   0   5   0   0  1  0  0 | * 21   *   *   *  *  * * * | 0 2  0  0 0 0
xo3oo .. ox3oo ..&#x  3  3 |  3   9   3 |  1   9   9   0   1 |  0   3   9   0   3   0   0  0 |  0  0   3   0   3   0   0   0  0  0  0 | *  * 140   *   *  *  * * * | 0 1  1  0 0 0
xo .. oo3ox3oo ..&#x  2  6 |  1  12  12 |  0   6  24   4   4 |  0   0  12   8   8   0   1  0 |  0  0   0   4   4   0   2   0  0  0  0 | *  *   * 105   *  *  * * * | 0 1  0  1 0 0
xo .. .. ox3oo3oo&#x  2  4 |  1   8   6 |  0   4  12   0   4 |  0   0   6   0   8   0   0  1 |  0  0   0   0   4   0   0   2  0  0  0 | *  *   *   * 105  *  * * * | 0 0  1  1 0 0
.. oo3oo3ox3oo ..&#x  1 10 |  0  10  30 |  0   0  30  20  10 |  0   0   0  20  10   5   5  0 |  0  0   0   0   0   5   5   0  0  1  0 | *  *   *   *   * 42  * * * | 0 1  0  0 1 0
.. .. oo3ox3oo3oo&#x  1 10 |  0  10  30 |  0   0  30  10  20 |  0   0   0  10  20   0   5  5 |  0  0   0   0   0   0   5   5  0  0  1 | *  *   *   *   *  * 42 * * | 0 0  0  1 1 0
.o3.o3.o3.x3.o ..     0 15 |  0   0  60 |  0   0   0  60  20 |  0   0   0   0   0  30  15  0 |  0  0   0   0   0   0   0   0  6  6  0 | *  *   *   *   *  *  * 7 * | 0 1  0  0 0 1
.. .o3.o3.x3.o3.o     0 20 |  0   0  90 |  0   0   0  60  60 |  0   0   0   0   0  15  30 15 |  0  0   0   0   0   0   0   0  0  6  6 | *  *   *   *   *  *  * * 7 | 0 0  0  0 1 1
---------------------+------+------------+--------------------+-------------------------------+----------------------------------------+----------------------------+--------------
x.3o.3o.3o.3o.3o.     7  0 | 21   0   0 | 35   0   0   0   0 | 35   0   0   0   0   0   0  0 | 21  0   0   0   0   0   0   0  0  0  0 | 7  0   0   0   0  0  0 0 0 | 1 *  *  * * *
xo3oo3oo3ox3oo ..&#x  6 15 | 15  60  60 | 20  90 180  60  20 | 15  60 180 120  60  30  15  0 |  6 15  60  60  60  30  30   0  6  6  0 | 1  6  20  15   0  6  0 1 0 | * 7  *  * * *
xo3oo .. ox3oo3oo&#x  3  4 |  3  12   6 |  1  12  18   0   4 |  0   4  18   0  12   0   0  1 |  0  0   6   0  12   0   0   3  0  0  0 | 0  0   4   0   3  0  0 0 0 | * * 35  * * *
xo .. oo3ox3oo3oo&#x  2 10 |  1  20  30 |  0  10  60  10  20 |  0   0  30  20  40   0   5  5 |  0  0   0  10  20   0  10  10  0  0  1 | 0  0   0   5   5  0  2 0 0 | * *  * 21 * *
.. oo3oo3ox3oo3oo&#x  1 20 |  0  20  90 |  0   0  90  60  60 |  0   0   0  60  60  15  30 15 |  0  0   0   0   0  15  30  15  0  6  6 | 0  0   0   0   0  6  6 0 1 | * *  *  * 7 *
.o3.o3.o3.x3.o3.o     0 35 |  0   0 210 |  0   0   0 210 140 |  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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