Acronym hexal trahex
Name hex atop gyrated trahex,
hex-first cap of hesa
Circumradius sqrt(7/8) = 0.935414
Confer
uniform relative:
hesa  
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

xo3oo3ox *b3oo ox3oo&#x   → height = 1/sqrt(6) = 0.408248
(hex || gyro trahex)

o.3o.3o. *b3o. o.3o.    | 8  * |  6 12  0  0 | 12  36  18 12  0  0 0 | 4 4 36 18  36 12  18  4  0  0  0  0 | 1 12 12 36 18 12  3 12  6 0  0  0  0 | 3 12 12 12  6  3  4 0 0 0 | 3 4 4 1 0
.o3.o3.o *b3.o .o3.o    | * 24 |  0  4  6  2 |  0   6  12  8 12 12 1 | 0 0  4  6  12 12  24  4  4  4 24  6 | 0  4  1  8 12  6  4 24 12 1  8  8 12 | 1  8  2  4  6  8 12 2 4 4 | 2 4 1 4 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x. .. ..    .. .. ..    | 2  0 | 24  *  *  * |  4   6   0  0  0  0 0 | 2 2 12  3   6  0   0  0  0  0  0  0 | 1  6  6 12  3  2  0  0  0 0  0  0  0 | 3  6  6  4  1  0  0 0 0 0 | 3 2 2 0 0
oo3oo3oo *b3oo oo3oo&#x | 1  1 |  * 96  *  * |  0   3   3  2  0  0 0 | 0 0  3  3   6  3   6  1  0  0  0  0 | 0  3  1  6  6  3  1  6  3 0  0  0  0 | 1  6  2  3  3  2  3 0 0 0 | 2 3 1 1 0
.. .. .x    .. .. ..    | 0  2 |  *  * 72  * |  0   0   2  0  4  2 0 | 0 0  0  1   0  4   4  0  2  2  8  1 | 0  2  0  0  2  0  2  8  2 1  4  4  4 | 1  4  0  0  1  4  4 2 2 2 | 2 2 0 2 1
.. .. ..    .. .x ..    | 0  2 |  *  *  * 24 |  0   0   0  4  0  6 1 | 0 0  0  0   6  0  12  4  0  0 12  6 | 0  0  0  4  6  6  0 12 12 0  4  4 12 | 0  4  1  4  6  4 12 1 4 4 | 1 4 1 4 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x.3o. ..    .. .. ..    | 3  0 |  3  0  0  0 | 32   *   *  *  *  * * | 1 1  3  0   0  0   0  0  0  0  0  0 | 1  3  3  3  0  0  0  0  0 0  0  0  0 | 3  3  3  1  0  0  0 0 0 0 | 3 1 1 0 0
xo .. ..    .. .. ..&#x | 2  1 |  1  2  0  0 |  * 144   *  *  *  * * | 0 0  2  1   2  0   0  0  0  0  0  0 | 0  2  1  4  2  1  0  0  0 0  0  0  0 | 1  4  2  2  1  0  0 0 0 0 | 2 2 1 0 0
.. .. ox    .. .. ..&#x | 1  2 |  0  2  1  0 |  *   * 144  *  *  * * | 0 0  0  1   0  2   2  0  0  0  0  0 | 0  2  0  0  2  0  1  4  1 0  0  0  0 | 1  4  0  0  1  2  2 0 0 0 | 2 2 0 1 0
.. .. ..    .. ox ..&#x | 1  2 |  0  2  0  1 |  *   *   * 96  *  * * | 0 0  0  0   3  0   3  1  0  0  0  0 | 0  0  0  3  3  3  0  3  3 0  0  0  0 | 0  3  1  3  3  1  3 0 0 0 | 1 3 1 1 0
.. .o3.x    .. .. ..    | 0  3 |  0  0  3  0 |  *   *   *  * 96  * * | 0 0  0  0   0  1   0  0  1  1  2  0 | 0  1  0  0  0  0  1  2  0 1  2  2  1 | 1  2  0  0  0  2  1 2 1 1 | 2 1 0 1 1
.. .. .x    .. .x ..    | 0  4 |  0  0  2  2 |  *   *   *  *  * 72 * | 0 0  0  0   0  0   2  0  0  0  4  1 | 0  0  0  0  1  0  0  4  2 0  2  2  4 | 0  2  0  0  1  2  4 1 2 2 | 1 2 0 2 1
.. .. ..    .. .x3.o    | 0  3 |  0  0  0  3 |  *   *   *  *  *  * 8 | 0 0  0  0   0  0   0  4  0  0  0  6 | 0  0  0  0  0  6  0  0 12 0  0  0 12 | 0  0  0  4  6  0 12 0 4 4 | 0 4 1 4 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x.3o.3o.    .. .. ..     4  0 |  6  0  0  0 |  4   0   0  0  0  0 0 | 8 *  *  *   *  *   *  *  *  *  *  * | 1  3  0  0  0  0  0  0  0 0  0  0  0 | 3  3  0  0  0  0  0 0 0 0 | 3 1 0 0 0
x.3o. .. *b3o. .. ..     4  0 |  6  0  0  0 |  4   0   0  0  0  0 0 | * 8  *  *   *  *   *  *  *  *  *  * | 1  0  3  0  0  0  0  0  0 0  0  0  0 | 3  0  3  0  0  0  0 0 0 0 | 3 0 1 0 0
xo3oo ..    .. .. ..&#x  3  1 |  3  3  0  0 |  1   3   0  0  0  0 0 | * * 96  *   *  *   *  *  *  *  *  * | 0  1  1  2  0  0  0  0  0 0  0  0  0 | 1  2  2  1  0  0  0 0 0 0 | 2 1 1 0 0
xo .. ox    .. .. ..&#x  2  2 |  1  4  1  0 |  0   2   2  0  0  0 0 | * *  * 72   *  *   *  *  *  *  *  * | 0  2  0  0  2  0  0  0  0 0  0  0  0 | 1  4  0  0  1  0  0 0 0 0 | 2 2 0 0 0
xo .. ..    .. ox ..&#x  2  2 |  1  4  0  1 |  0   2   0  2  0  0 0 | * *  *  * 144  *   *  *  *  *  *  * | 0  0  0  2  1  1  0  0  0 0  0  0  0 | 0  2  1  2  1  0  0 0 0 0 | 1 2 1 0 0
.. oo3ox    .. .. ..&#x  1  3 |  0  3  3  0 |  0   0   3  0  1  0 0 | * *  *  *   * 96   *  *  *  *  *  * | 0  1  0  0  0  0  1  2  0 0  0  0  0 | 1  2  0  0  0  2  1 0 0 0 | 2 1 0 1 0
.. .. ox    .. ox ..&#x  1  4 |  0  4  2  2 |  0   0   2  2  0  1 0 | * *  *  *   *  * 144  *  *  *  *  * | 0  0  0  0  1  0  0  2  1 0  0  0  0 | 0  2  0  0  1  1  2 0 0 0 | 1 2 0 1 0
.. .. ..    .. ox3oo&#x  1  3 |  0  3  0  3 |  0   0   0  3  0  0 1 | * *  *  *   *  *   * 32  *  *  *  * | 0  0  0  0  0  3  0  0  3 0  0  0  0 | 0  0  0  3  3  0  3 0 0 0 | 0 3 1 1 0
.o3.o3.x    .. .. ..     0  4 |  0  0  6  0 |  0   0   0  0  4  0 0 | * *  *  *   *  *   *  * 24  *  *  * | 0  1  0  0  0  0  0  0  0 1  2  0  0 | 1  2  0  0  0  0  0 2 1 0 | 2 1 0 0 1
.. .o3.x *b3.o .. ..     0  4 |  0  0  6  0 |  0   0   0  0  4  0 0 | * *  *  *   *  *   *  *  * 24  *  * | 0  0  0  0  0  0  1  0  0 1  0  2  0 | 1  0  0  0  0  2  0 2 0 1 | 2 0 0 1 1
.. .o3.x    .. .x ..     0  6 |  0  0  6  3 |  0   0   0  0  2  3 0 | * *  *  *   *  *   *  *  *  * 96  * | 0  0  0  0  0  0  0  1  0 0  1  1  1 | 0  1  0  0  0  1  1 1 1 1 | 1 1 0 1 1
.. .. .x    .. .x3.o     0  6 |  0  0  3  6 |  0   0   0  0  0  3 2 | * *  *  *   *  *   *  *  *  *  * 24 | 0  0  0  0  0  0  0  0  2 0  0  0  4 | 0  0  0  0  1  0  4 0 2 2 | 0 2 0 2 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
x.3o.3o. *b3o. .. ..     8  0 | 24  0  0  0 | 32   0   0  0  0  0 0 | 8 8  0  0   0  0   0  0  0  0  0  0 | 1  *  *  *  *  *  *  *  * *  *  *  * | 3  0  0  0  0  0  0 0 0 0 | 3 0 0 0 0
xo3oo3ox    .. .. ..&#x  4  4 |  6 12  6  0 |  4  12  12  0  4  0 0 | 1 0  4  6   0  4   0  0  1  0  0  0 | * 24  *  *  *  *  *  *  * *  *  *  * | 1  2  0  0  0  0  0 0 0 0 | 2 1 0 0 0
xo3oo .. *b3oo .. ..&#x  4  1 |  6  4  0  0 |  4   6   0  0  0  0 0 | 0 1  4  0   0  0   0  0  0  0  0  0 | *  * 24  *  *  *  *  *  * *  *  *  * | 1  0  2  0  0  0  0 0 0 0 | 2 0 1 0 0
xo3oo ..    .. ox ..&#x  3  2 |  3  6  0  1 |  1   6   0  3  0  0 0 | 0 0  2  0   3  0   0  0  0  0  0  0 | *  *  * 96  *  *  *  *  * *  *  *  * | 0  1  1  1  0  0  0 0 0 0 | 1 1 1 0 0
xo .. ox    .. ox ..&#x  2  4 |  1  8  2  2 |  0   4   4  4  0  1 0 | 0 0  0  2   2  0   2  0  0  0  0  0 | *  *  *  * 72  *  *  *  * *  *  *  * | 0  2  0  0  1  0  0 0 0 0 | 1 2 0 0 0
xo .. ..    .. ox3oo&#x  2  3 |  1  6  0  3 |  0   3   0  6  0  0 1 | 0 0  0  0   3  0   0  2  0  0  0  0 | *  *  *  *  * 48  *  *  * *  *  *  * | 0  0  0  2  1  0  0 0 0 0 | 0 2 1 0 0
.. oo3ox *b3oo .. ..&#x  1  4 |  0  4  6  0 |  0   0   6  0  4  0 0 | 0 0  0  0   0  4   0  0  0  1  0  0 | *  *  *  *  *  * 24  *  * *  *  *  * | 1  0  0  0  0  2  0 0 0 0 | 2 0 0 1 0
.. oo3ox    .. ox ..&#x  1  6 |  0  6  6  3 |  0   0   6  3  2  3 0 | 0 0  0  0   0  2   3  0  0  0  1  0 | *  *  *  *  *  *  * 96  * *  *  *  * | 0  1  0  0  0  1  1 0 0 0 | 1 1 0 1 0
.. .. ox    .. ox3oo&#x  1  6 |  0  6  3  6 |  0   0   3  6  0  3 2 | 0 0  0  0   0  0   3  2  0  0  0  1 | *  *  *  *  *  *  *  * 48 *  *  *  * | 0  0  0  0  1  0  2 0 0 0 | 0 2 0 1 0
.o3.o3.x *b3.o .. ..     0  8 |  0  0 24  0 |  0   0   0  0 32  0 0 | 0 0  0  0   0  0   0  0  8  8  0  0 | *  *  *  *  *  *  *  *  * 3  *  *  * | 1  0  0  0  0  0  0 2 0 0 | 2 0 0 0 1
.o3.o3.x    .. .x ..     0  8 |  0  0 12  4 |  0   0   0  0  8  6 0 | 0 0  0  0   0  0   0  0  2  0  4  0 | *  *  *  *  *  *  *  *  * * 24  *  * | 0  1  0  0  0  0  0 1 1 0 | 1 1 0 0 1
.. .o3.x *b3.o .x ..     0  8 |  0  0 12  4 |  0   0   0  0  8  6 0 | 0 0  0  0   0  0   0  0  0  2  4  0 | *  *  *  *  *  *  *  *  * *  * 24  * | 0  0  0  0  0  1  0 1 0 1 | 1 0 0 1 1
.. .o3.x    .. .x3.o     0  9 |  0  0  9  9 |  0   0   0  0  3  9 3 | 0 0  0  0   0  0   0  0  0  0  3  3 | *  *  *  *  *  *  *  *  * *  *  * 32 | 0  0  0  0  0  0  1 0 1 1 | 0 1 0 1 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
xo3oo3ox *b3oo .. ..&#x  8  8 | 24 32 24  0 | 32  48  48  0 32  0 0 | 8 8 32 24   0 32   0  0  8  8  0  0 | 1  8  8  0  0  0  8  0  0 1  0  0  0 | 3  *  *  *  *  *  * * * * | 2 0 0 0 0
xo3oo3ox    .. ox ..&#x  4  8 |  6 24 12  4 |  4  24  24 12  8  6 0 | 1 0  8 12  12  8  12  0  2  0  4  0 | 0  2  0  4  6  0  0  4  0 0  1  0  0 | * 24  *  *  *  *  * * * * | 1 1 0 0 0
xo3oo .. *b3oo ox ..&#x  4  2 |  6  8  0  1 |  4  12   0  4  0  0 0 | 0 1  8  0   6  0   0  0  0  0  0  0 | 0  0  2  4  0  0  0  0  0 0  0  0  0 | *  * 24  *  *  *  * * * * | 1 0 1 0 0
xo3oo ..    .. ox3oo&#x  3  3 |  3  9  0  3 |  1   9   0  9  0  0 1 | 0 0  3  0   9  0   0  3  0  0  0  0 | 0  0  0  3  0  3  0  0  0 0  0  0  0 | *  *  * 32  *  *  * * * * | 0 1 1 0 0
xo .. ox    .. ox3oo&#x  2  6 |  1 12  3  6 |  0   6   6 12  0  3 2 | 0 0  0  3   6  0   6  4  0  0  0  1 | 0  0  0  0  3  2  0  0  2 0  0  0  0 | *  *  *  * 24  *  * * * * | 0 2 0 0 0
.. oo3ox *b3oo ox ..&#x  1  8 |  0  8 12  4 |  0   0  12  4  8  6 0 | 0 0  0  0   0  8   6  0  0  2  4  0 | 0  0  0  0  0  0  2  4  0 0  0  1  0 | *  *  *  *  * 24  * * * * | 1 0 0 1 0
.. oo3ox    .. ox3oo&#x  1  9 |  0  9  9  9 |  0   0   9  9  3  9 3 | 0 0  0  0   0  3   9  3  0  0  3  3 | 0  0  0  0  0  0  0  3  3 0  0  0  1 | *  *  *  *  *  * 32 * * * | 0 1 0 1 0
.o3.o3.x *b3.o .x ..     0 16 |  0  0 48  8 |  0   0   0  0 64 24 0 | 0 0  0  0   0  0   0  0 16 16 32  0 | 0  0  0  0  0  0  0  0  0 2  8  8  0 | *  *  *  *  *  *  * 3 * * | 1 0 0 0 1
.o3.o3.x    .. .x3.o     0 12 |  0  0 18 12 |  0   0   0  0 12 18 4 | 0 0  0  0   0  0   0  0  3  0 12  6 | 0  0  0  0  0  0  0  0  0 0  3  0  4 | *  *  *  *  *  *  * * 8 * | 0 1 0 0 1
.. .o3.x *b3.o .x3.o     0 12 |  0  0 18 12 |  0   0   0  0 12 18 4 | 0 0  0  0   0  0   0  0  0  3 12  6 | 0  0  0  0  0  0  0  0  0 0  0  3  4 | *  *  *  *  *  *  * * * 8 | 0 0 0 1 1
------------------------+------+-------------+-----------------------+-------------------------------------+--------------------------------------+---------------------------+----------
xo3oo3ox *b3oo ox ..&#x  8 16 | 24 64 48  8 | 32  96  96 32 64 24 0 | 8 8 64 48  48 64  48  0 16 16 32  0 | 1 16 16 32 24  0 16 32  0 2  8  8  0 | 2  8  8  0  0  8  0 1 0 0 | 3 * * * *
xo3oo3ox    .. ox3oo&#x  4 12 |  6 36 18 12 |  4  36  36 36 12 18 4 | 1 0 12 18  36 12  36 12  3  0 12  6 | 0  3  0 12 18 12  0 12 12 0  3  0  4 | 0  3  0  4  6  0  4 0 1 0 | * 8 * * *
xo3oo .. *b3oo ox3oo&#x  4  3 |  6 12  0  3 |  4  18   0 12  0  0 1 | 0 1 12  0  18  0   0  4  0  0  0  0 | 0  0  3 12  0  6  0  0  0 0  0  0  0 | 0  0  3  4  0  0  0 0 0 0 | * * 8 * *
.. oo3ox *b3oo ox3oo&#x  1 12 |  0 12 18 12 |  0   0  18 12 12 18 4 | 0 0  0  0   0 12  18  4  0  3 12  6 | 0  0  0  0  0  0  3 12  6 0  0  3  4 | 0  0  0  0  0  3  4 0 0 1 | * * * 8 *
.o3.o3.x *b3.o .x3.o     0 24 |  0  0 72 24 |  0   0   0  0 96 72 8 | 0 0  0  0   0  0   0  0 24 24 96 24 | 0  0  0  0  0  0  0  0  0 3 24 24 32 | 0  0  0  0  0  0  0 3 8 8 | * * * * 1

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