Acronym brilpy
Name birectified-heptapetonal pyramid,
vertex pyramid of pentacontihexahecatonicosihexaexon
Circumradius sqrt(7)/2 = 1.322876
Confer
uniform relative:
lin  
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3oo3ox3oo3oo3oo&#x   → height = 1/sqrt(7) = 0.377964
(pt || bril)

o.3o.3o.3o.3o.3o.    | 1  *  35   0 | 210   0   0 | 140 210  0   0   0 | 35 105 105  0  0  0 | 21 42 21 0 0 | 7 7 0
.o3.o3.o3.o3.o3.o    | * 35   1  12 |  12  12  18 |  12  18  4  18  12 |  4  18  12  6 12  3 |  6 12  3 4 3 | 4 3 1
---------------------+------+--------+-------------+--------------------+---------------------+--------------+------
oo3oo3oo3oo3oo3oo&#x | 1  1 | 35   *   12   0   0 |  12  18  0   0   0 |  4  18  12  0  0  0 |  6 12  3 0 0 | 4 3 0
.. .. .x .. .. ..    | 0  2 |  * 210 |   1   2   3 |   2   3  1   6   3 |  1   6   3  3  6  1 |  3  6  1 3 2 | 3 2 1
---------------------+------+--------+-------------+--------------------+---------------------+--------------+------
.. .. ox .. .. ..&#x | 1  2 |  2   1 | 210   *   * |   2   3  0   0   0 |  1   6   3  0  0  0 |  3  6  1 0 0 | 3 2 0
.. .o3.x .. .. ..    | 0  3 |  0   3 |   * 140   * |   1   0  1   3   0 |  1   3   0  3  3  0 |  3  3  0 3 1 | 3 1 1
.. .. .x3.o .. ..    | 0  3 |  0   3 |   *   * 210 |   0   1  0   2   2 |  0   2   2  1  4  1 |  1  4  1 2 2 | 2 2 1
---------------------+------+--------+-------------+--------------------+---------------------+--------------+------
.. oo3ox .. .. ..&#x  1  3 |  3   3 |   3   1   0 | 140   *  *   *   * |  1   3   0  0  0  0 |  3  3  0 0 0 | 3 1 0
.. .. ox3oo .. ..&#x  1  3 |  3   3 |   3   0   1 |   * 210  *   *   * |  0   2   2  0  0  0 |  1  4  1 0 0 | 2 2 0
.o3.o3.x .. .. ..     0  4 |  0   6 |   0   4   0 |   *   * 35   *   * |  1   0   0  3  0  0 |  3  0  0 3 0 | 3 0 1
.. .o3.x3.o .. ..     0  6 |  0  12 |   0   4   4 |   *   *  * 105   * |  0   1   0  1  2  0 |  1  2  0 2 1 | 2 1 1
.. .. .x3.o3.o ..     0  4 |  0   6 |   0   0   4 |   *   *  *   * 105 |  0   0   1  0  2  1 |  0  2  1 1 2 | 1 2 1
---------------------+------+--------+-------------+--------------------+---------------------+--------------+------
oo3oo3ox .. .. ..&#x  1  4 |  4   6 |   6   4   0 |   4   0  1   0   0 | 35   *   *  *  *  * |  3  0  0 0 0 | 3 0 0
.. oo3ox3oo .. ..&#x  1  6 |  6  12 |  12   4   4 |   4   4  0   1   0 |  * 105   *  *  *  * |  1  2  0 0 0 | 2 1 0
.. .. ox3oo3oo ..&#x  1  4 |  4   6 |   6   0   4 |   0   4  0   0   1 |  *   * 105  *  *  * |  0  2  1 0 0 | 1 2 0
.o3.o3.x3.o .. ..     0 10 |  0  30 |   0  20  10 |   0   0  5   5   0 |  *   *   * 21  *  * |  1  0  0 2 0 | 2 0 1
.. .o3.x3.o3.o ..     0 10 |  0  30 |   0  10  20 |   0   0  0   5   5 |  *   *   *  * 42  * |  0  1  0 1 1 | 1 1 1
.. .. .x3.o3.o3.o     0  5 |  0  10 |   0   0  10 |   0   0  0   0   5 |  *   *   *  *  * 21 |  0  0  1 0 2 | 0 2 1
---------------------+------+--------+-------------+--------------------+---------------------+--------------+------
oo3oo3ox3oo .. ..&#x  1 10 | 10  30 |  30  20  10 |  20  10  5   5   0 |  5   5   0  1  0  0 | 21  *  * * * | 2 0 0
.. oo3ox3oo3oo ..&#x  1 10 | 10  30 |  30  10  20 |  10  20  0   5   5 |  0   5   5  0  1  0 |  * 42  * * * | 1 1 0
.. .. ox3oo3oo3oo&#x  1  5 |  5  10 |  10   0  10 |   0  10  0   0   5 |  0   0   5  0  0  1 |  *  * 21 * * | 0 2 0
.o3.o3.x3.o3.o ..     0 20 |  0  90 |   0  60  60 |   0   0 15  30  15 |  0   0   0  6  6  0 |  *  *  * 7 * | 1 0 1
.. .o3.x3.o3.o3.o     0 15 |  0  60 |   0  20  60 |   0   0  0  15  30 |  0   0   0  0  6  6 |  *  *  * * 7 | 0 1 1
---------------------+------+--------+-------------+--------------------+---------------------+--------------+------
oo3oo3ox3oo3oo ..&#x  1 20 | 20  90 |  90  60  60 |  60  60 15  30  15 | 15  30  15  6  6  0 |  6  6  0 1 0 | 7 * *
.. oo3ox3oo3oo3oo&#x  1 15 | 15  60 |  60  20  60 |  20  60  0  15  30 |  0  15  30  0  6  6 |  0  6  6 0 1 | * 7 *
.o3.o3.x3.o3.o3.o     0 35 |  0 210 |   0 140 210 |   0   0 35 105 105 |  0   0   0 21 42 21 |  0  0  0 7 7 | * * 1

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