Acronym haxarag
Name hemihexeract atop rectified hexacontitetrapeton,
vertex-first subsegment of pentacontihexapentacosiheptacontihexaexon
Circumradius 1
Confer
general polytopal classes:
segmentoexa   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3oo3oo *b3oo3ox3oo&#x   → height = 1/2
(hax || rag)

o.3o.3o. *b3o.3o.3o.    | 32  * |  15  15   0 |  60   90   60   0   0 |  20  60  180  180   60  20   0   0 | 15  30  60  60  180  60  60  30  15   0   0   0 |  6  6 15  60  30  60  15   6   6  0  0  0 | 1  6  20  6  1 0
.o3.o3.o *b3.o3.o3.o    |  * 60 |   0   8  16 |   0   24   64  48   8 |   0   0   32   96   96  32  64  24 |  0   0   8   8   64  48  48  64  48  16  16  32 |  0  0  1  16  16  32  24  16  32  2  8  8 | 0  2   8  8  8 1
------------------------+-------+-------------+-----------------------+------------------------------------+-------------------------------------------------+-------------------------------------------+-----------------
x. .. ..    .. .. ..    |  2  0 | 240   *   * |   8    6    0   0   0 |   4  12   24   12    0   0   0   0 |  6   8  12  12   24   4   4   0   0   0   0   0 |  4  2  6  12   8   8   1   0   0  0  0  0 | 1  4   4  2  0 0
oo3oo3oo *b3oo3oo3oo&#x |  1  1 |   * 480   * |   0    6    8   0   0 |   0   0   12   24   12   4   0   0 |  0   0   4   4   24  12  12   8   6   0   0   0 |  0  0  1   8   8  12   6   2   4  0  0  0 | 0  2   4  4  1 0
.. .. ..    .. .x ..    |  0  2 |   *   * 480 |   0    0    4   6   1 |   0   0    0    6   12   4  12   6 |  0   0   0   0    4   6   6  12  12   4   4  12 |  0  0  0   1   4   4   6   4  12  1  4  4 | 0  1   1  4  4 1
------------------------+-------+-------------+-----------------------+------------------------------------+-------------------------------------------------+-------------------------------------------+-----------------
x.3o. ..    .. .. ..    |  3  0 |   3   0   0 | 640    *    *   *   * |   1   3    3    0    0   0   0   0 |  3   3   3   3    3   0   0   0   0   0   0   0 |  3  1  3   3   3   1   0   0   0  0  0  0 | 1  3   1  1  0 0
xo .. ..    .. .. ..&#x |  2  1 |   1   2   0 |   * 1440    *   *   * |   0   0    4    4    0   0   0   0 |  0   0   2   2    8   2   2   0   0   0   0   0 |  0  0  1   4   4   4   1   0   0  0  0  0 | 0  2   2  2  0 0
.. .. ..    .. ox ..&#x |  1  2 |   0   2   1 |   *    * 1920   *   * |   0   0    0    3    3   1   0   0 |  0   0   0   0    3   3   3   3   3   0   0   0 |  0  0  0   1   3   3   3   1   3  0  0  0 | 0  1   1  3  1 0
.. .. ..    .o3.x ..    |  0  3 |   0   0   3 |   *    *    * 960   * |   0   0    0    0    2   0   4   1 |  0   0   0   0    0   1   0   4   2   2   2   4 |  0  0  0   0   2   0   1   2   4  1  2  2 | 0  1   0  2  2 1
.. .. ..    .. .x3.o    |  0  3 |   0   0   3 |   *    *    *   * 160 |   0   0    0    0    0   4   0   6 |  0   0   0   0    0   0   6   0  12   0   0  12 |  0  0  0   0   0   4   6   0  12  0  4  4 | 0  0   3  4  4 1
------------------------+-------+-------------+-----------------------+------------------------------------+-------------------------------------------------+-------------------------------------------+-----------------
x.3o.3o.    .. .. ..      4  0 |   6   0   0 |   4    0    0   0   0 | 160   *    *    *    *   *   *   * |  3   0   3   0    0   0   0   0   0   0   0   0 |  3  0  3   3   0   0   0   0   0  0  0  0 | 1  3   1  0  0 0
x.3o. .. *b3o. .. ..      4  0 |   6   0   0 |   4    0    0   0   0 |   * 480    *    *    *   *   *   * |  1   2   0   1    0   0   0   0   0   0   0   0 |  2  1  1   0   2   0   0   0   0  0  0  0 | 1  2   0  1  0 0
xo3oo ..    .. .. ..&#x   3  1 |   3   3   0 |   1    3    0   0   0 |   *   * 1920    *    *   *   *   * |  0   0   1   1    2   0   0   0   0   0   0   0 |  0  0  1   2   2   1   0   0   0  0  0  0 | 0  2   1  1  0 0
xo .. ..    .. ox ..&#x   2  2 |   1   4   1 |   0    2    2   0   0 |   *   *    * 2880    *   *   *   * |  0   0   0   0    2   1   1   0   0   0   0   0 |  0  0  0   1   2   2   1   0   0  0  0  0 | 0  1   1  2  0 0
.. .. ..    oo3ox ..&#x   1  3 |   0   3   3 |   0    0    3   1   0 |   *   *    *    * 1920   *   *   * |  0   0   0   0    0   1   0   2   1   0   0   0 |  0  0  0   0   2   0   1   1   2  0  0  0 | 0  1   0  2  1 0
.. .. ..    .. ox3oo&#x   1  3 |   0   3   3 |   0    0    3   0   1 |   *   *    *    *    * 640   *   * |  0   0   0   0    0   0   3   0   3   0   0   0 |  0  0  0   0   0   3   3   0   3  0  0  0 | 0  0   1  3  1 0
.. .o .. *b3.o3.x ..      0  4 |   0   0   6 |   0    0    0   4   0 |   *   *    *    *    *   * 960   * |  0   0   0   0    0   0   0   1   0   1   1   1 |  0  0  0   0   1   0   0   1   1  1  1  1 | 0  1   0  1  1 1
.. .. ..    .o3.x3.o      0  6 |   0   0  12 |   0    0    0   4   4 |   *   *    *    *    *   *   * 240 |  0   0   0   0    0   0   0   0   2   0   0   4 |  0  0  0   0   0   0   1   0   4  0  2  2 | 0  0   0  2  2 1
------------------------+-------+-------------+-----------------------+------------------------------------+-------------------------------------------------+-------------------------------------------+-----------------
x.3o.3o. *b3o. .. ..      8  0 |  24   0   0 |  32    0    0   0   0 |   8   8    0    0    0   0   0   0 | 60   *   *   *    *   *   *   *   *   *   *   * |  2  0  1   0   0   0   0   0   0  0  0  0 | 1  2   0  0  0 0
x.3o. .. *b3o.3o. ..      5  0 |  10   0   0 |  10    0    0   0   0 |   0   5    0    0    0   0   0   0 |  * 192   *   *    *   *   *   *   *   *   *   * |  1  1  0   0   1   0   0   0   0  0  0  0 | 1  1   0  1  0 0
xo3oo3oo    .. .. ..&#x   4  1 |   6   4   0 |   4    6    0   0   0 |   1   0    4    0    0   0   0   0 |  *   * 480   *    *   *   *   *   *   *   *   * |  0  0  1   2   0   0   0   0   0  0  0  0 | 0  2   1  0  0 0
xo3oo .. *b3oo .. ..&#x   4  1 |   6   4   0 |   4    6    0   0   0 |   0   1    4    0    0   0   0   0 |  *   *   * 480    *   *   *   *   *   *   *   * |  0  0  1   0   2   0   0   0   0  0  0  0 | 0  2   0  1  0 0
xo3oo ..    .. ox ..&#x   3  2 |   3   6   1 |   1    6    3   0   0 |   0   0    2    3    0   0   0   0 |  *   *   *   * 1920   *   *   *   *   *   *   * |  0  0  0   1   1   1   0   0   0  0  0  0 | 0  1   1  1  0 0
xo .. ..    oo3ox ..&#x   2  3 |   1   6   3 |   0    3    6   1   0 |   0   0    0    3    2   0   0   0 |  *   *   *   *    * 960   *   *   *   *   *   * |  0  0  0   0   2   0   1   0   0  0  0  0 | 0  1   0  2  0 0
xo .. ..    .. ox3oo&#x   2  3 |   1   6   3 |   0    3    6   0   1 |   0   0    0    3    0   2   0   0 |  *   *   *   *    *   * 960   *   *   *   *   * |  0  0  0   0   0   2   1   0   0  0  0  0 | 0  0   1  2  0 0
.. oo .. *b3oo3ox ..&#x   1  4 |   0   4   6 |   0    0    6   4   0 |   0   0    0    0    4   0   1   0 |  *   *   *   *    *   *   * 960   *   *   *   * |  0  0  0   0   1   0   0   1   1  0  0  0 | 0  1   0  1  1 0
.. .. ..    oo3ox3oo&#x   1  6 |   0   6  12 |   0    0   12   4   4 |   0   0    0    0    4   4   0   1 |  *   *   *   *    *   *   *   * 480   *   *   * |  0  0  0   0   0   0   1   0   2  0  0  0 | 0  0   0  2  1 0
.o3.o .. *b3.o3.x ..      0  5 |   0   0  10 |   0    0    0  10   0 |   0   0    0    0    0   0   5   0 |  *   *   *   *    *   *   *   *   * 192   *   * |  0  0  0   0   1   0   0   0   0  1  1  0 | 0  1   0  1  0 1
.. .o3.o *b3.o3.x ..      0  5 |   0   0  10 |   0    0    0  10   0 |   0   0    0    0    0   0   5   0 |  *   *   *   *    *   *   *   *   *   * 192   * |  0  0  0   0   0   0   0   1   0  1  0  1 | 0  1   0  0  1 1
.. .o .. *b3.o3.x3.o      0 10 |   0   0  30 |   0    0    0  20  10 |   0   0    0    0    0   0   5   5 |  *   *   *   *    *   *   *   *   *   *   * 192 |  0  0  0   0   0   0   0   0   1  0  1  1 | 0  0   0  1  1 1
------------------------+-------+-------------+-----------------------+------------------------------------+-------------------------------------------------+-------------------------------------------+-----------------
x.3o.3o. *b3o.3o. ..     16  0 |  80   0   0 | 160    0    0   0   0 |  40  80    0    0    0   0   0   0 | 10  16   0   0    0   0   0   0   0   0   0   0 | 12  *  *   *   *   *   *   *   *  *  *  * | 1  1   0  0  0 0
x.3o. .. *b3o.3o.3o.      6  0 |  15   0   0 |  20    0    0   0   0 |   0  15    0    0    0   0   0   0 |  0   6   0   0    0   0   0   0   0   0   0   0 |  * 32  *   *   *   *   *   *   *  *  *  * | 1  0   0  1  0 0
xo3oo3oo *b3oo .. ..&#x   8  1 |  24   8   0 |  32   24    0   0   0 |   8   8   32    0    0   0   0   0 |  1   0   8   8    0   0   0   0   0   0   0   0 |  *  * 60   *   *   *   *   *   *  *  *  * | 0  2   0  0  0 0
xo3oo3oo    .. ox ..&#x   4  2 |   6   8   1 |   4   12    4   0   0 |   1   0    8    6    0   0   0   0 |  0   0   2   0    4   0   0   0   0   0   0   0 |  *  *  * 480   *   *   *   *   *  *  *  * | 0  1   1  0  0 0
xo3oo .. *b3oo3ox ..&#x   5  5 |  10  20  10 |  10   30   30  10   0 |   0   5   20   30   20   0   5   0 |  0   1   0   5   10  10   0   5   0   1   0   0 |  *  *  *   * 192   *   *   *   *  *  *  * | 0  1   0  1  0 0
xo3oo ..    .. ox3oo&#x   3  3 |   3   9   3 |   1    9    9   0   1 |   0   0    3    9    0   3   0   0 |  0   0   0   0    3   0   3   0   0   0   0   0 |  *  *  *   *   * 640   *   *   *  *  *  * | 0  0   1  1  0 0
xo .. ..    oo3ox3oo&#x   2  6 |   1  12  12 |   0    6   24   4   4 |   0   0    0   12    8   8   0   1 |  0   0   0   0    0   4   4   0   2   0   0   0 |  *  *  *   *   *   * 240   *   *  *  *  * | 0  0   0  2  0 0
.. oo3oo *b3oo3ox ..&#x   1  5 |   0   5  10 |   0    0   10  10   0 |   0   0    0    0   10   0   5   0 |  0   0   0   0    0   0   0   5   0   0   1   0 |  *  *  *   *   *   *   * 192   *  *  *  * | 0  1   0  0  1 0
.. oo .. *b3oo3ox3oo&#x   1 10 |   0  10  30 |   0    0   30  20  10 |   0   0    0    0   20  10   5   5 |  0   0   0   0    0   0   0   5   5   0   0   1 |  *  *  *   *   *   *   *   * 192  *  *  * | 0  0   0  1  1 0
.o3.o3.o *b3.o3.x ..      0 10 |   0   0  40 |   0    0    0  80   0 |   0   0    0    0    0   0  80   0 |  0   0   0   0    0   0   0   0   0  16  16   0 |  *  *  *   *   *   *   *   *   * 12  *  * | 0  1   0  0  0 1
.o3.o .. *b3.o3.x3.o      0 15 |   0   0  60 |   0    0    0  60  20 |   0   0    0    0    0   0  30  15 |  0   0   0   0    0   0   0   0   0   6   0   6 |  *  *  *   *   *   *   *   *   *  * 32  * | 0  0   0  1  0 1
.. .o3.o *b3.o3.x3.o      0 15 |   0   0  60 |   0    0    0  60  20 |   0   0    0    0    0   0  30  15 |  0   0   0   0    0   0   0   0   0   0   6   6 |  *  *  *   *   *   *   *   *   *  *  * 32 | 0  0   0  0  1 1
------------------------+-------+-------------+-----------------------+------------------------------------+-------------------------------------------------+-------------------------------------------+-----------------
x.3o.3o. *b3o.3o.3o.     32  0 | 240   0   0 | 640    0    0   0   0 | 160 480    0    0    0   0   0   0 | 60 192   0   0    0   0   0   0   0   0   0   0 | 12 32  0   0   0   0   0   0   0  0  0  0 | 1  *   *  *  * *
xo3oo3oo *b3oo3ox ..&#x  16 10 |  80  80  40 | 160  240  160  80   0 |  40  80  320  240  160   0  80   0 | 10  16  80  80  160  80   0  80   0  16  16   0 |  1  0 10  40  16   0   0  16   0  1  0  0 | * 12   *  *  * *
xo3oo3oo    .. ox3oo&#x   4  3 |   6  12   3 |   4   18   12   0   3 |   1   0   12   18    0   4   0   0 |  0   0   3   0   12   0   6   0   0   0   0   0 |  0  0  0   3   0   4   0   0   0  0  0  0 | *  * 160  *  * *
xo3oo .. *b3oo3ox3oo&#x   6 15 |  15  60  60 |  20   90  180  60  20 |   0  15   60  180  120  60  30  15 |  0   6   0  15   60  60  60  30  30   6   0   6 |  0  1  0   0   6  20  15   0   6  0  1  0 | *  *   * 32  * *
.. oo3oo *b3oo3ox3oo&#x   1 15 |   0  15  60 |   0    0   60  60  20 |   0   0    0    0   60  20  30  15 |  0   0   0   0    0   0   0  30  15   0   6   6 |  0  0  0   0   0   0   0   6   6  0  0  1 | *  *   *  * 32 *
.o3.o3.o *b3.o3.x3.o      0 60 |   0   0 480 |   0    0    0 960 160 |   0   0    0    0    0   0 960 240 |  0   0   0   0    0   0   0   0   0 192 192 192 |  0  0  0   0   0   0   0   0   0 12 32 32 | *  *   *  *  * 1

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