Acronym hinaf, hin || alt. hinnip
Name hemipenteractic alterfastegium,
hin atop alternate hinnip,
hin-first rotunda of hesa
Circumradius sqrt(7/8) = 0.935414
Lace city
in approx. ASCII-art
    h    		where:
         		h = x3o3o *b3o3o (hin)
H       H		H = o3o3x *b3o3o (alt. hin)
Confer
uniform relative:
hesa  
general polytopal classes:
alterfastegia   segmentoexa  

Incidence matrix according to Dynkin symbol

ox xo3oo3ox *c3oo3oo&#x   → height = 1/2
(hin || alt. hinnip)

o. o.3o.3o. *c3o.3o.    | 16  *  10  10  0   0 |  30  5  40  20  0   0 | 10 20  20  10  60  20  20   0  0   0 |  5  5  30 10  10 20  40  10  0  0  0  0 | 1 10 20  5 10 10  2  0  0 0 |  5  5  1 2 0
.o .o3.o3.o *c3.o3.o    |  * 32 |  0   5  1  10 |   0  5  10  20 10  30 |  0  0  10  20  10  10  30  30 10  20 |  0  0  10 10  30 10   5  20 10 20  5  5 | 0 10  5 20  5  1  5  5  5 1 |  5  1  5 1 1
------------------------+-------+---------------+-----------------------+--------------------------------------+-----------------------------------------+-----------------------------+-------------
.. x. .. ..    .. ..    |  2  0 | 80   *  *   *    6  0   4   0  0   0 |  3  6   2   0  12   2   0   0  0   0 |  3  2   6  1   0  6  12   0  0  0  0  0 | 1  3  6  0  6  4  0  0  0 0 |  3  2  0 2 0
oo oo3oo3oo *c3oo3oo&#x |  1  1 |  * 160  *   * |   0  1   4   4  0   0 |  0  0   4   4   6   4   6   0  0   0 |  0  0   6  4   6  6   4   4  0  0  0  0 | 0  6  4  4  4  1  1  0  0 0 |  4  1  1 1 0
.x .. .. ..    .. ..    |  0  2 |  *   * 16   * |   0  5   0   0 10   0 |  0  0  10  20   0   0   0  30  0   0 |  0  0  10 10  30  0   0   0 10 20  0  0 | 0 10  5 20  0  0  0  5  5 0 |  5  1  5 0 1
.. .. .. .x    .. ..    |  0  2 |  *   *  * 160 |   0  0   0   2  1   6 |  0  0   0   2   0   1   6   6  3   6 |  0  0   0  1   6  3   0   6  3  6  3  2 | 0  3  0  6  3  0  2  3  2 1 |  3  0  2 1 1
------------------------+-------+---------------+-----------------------+--------------------------------------+-----------------------------------------+-----------------------------+-------------
.. x.3o. ..    .. ..    |  3  0 |  3   0  0   0 | 160  *   *   *  *   * |  1  2   0   0   2   0   0   0  0   0 |  2  1   1  0   0  2   4   0  0  0  0  0 | 1  1  2  0  4  2  0  0  0 0 |  2  1  0 2 0
ox .. .. ..    .. ..&#x |  1  2 |  0   2  1   0 |   * 80   *   *  *   * |  0  0   4   4   0   0   0   0  0   0 |  0  0   6  4   6  0   0   0  0  0  0  0 | 0  6  4  4  0  0  0  0  0 0 |  4  1  1 0 0
.. xo .. ..    .. ..&#x |  2  1 |  1   2  0   0 |   *  * 320   *  *   * |  0  0   1   0   3   1   0   0  0   0 |  0  0   3  1   0  3   3   0  0  0  0  0 | 0  3  3  0  3  1  0  0  0 0 |  3  1  0 1 0
.. .. .. ox    .. ..&#x |  1  2 |  0   2  0   1 |   *  *   * 320  *   * |  0  0   0   1   0   1   3   0  0   0 |  0  0   0  1   3  3   0   3  0  0  0  0 | 0  3  0  3  3  0  1  0  0 0 |  3  0  1 1 0
.x .. .. .x    .. ..    |  0  4 |  0   0  2   2 |   *  *   *   * 80   * |  0  0   0   2   0   0   0   6  0   0 |  0  0   0  1   6  0   0   0  3  6  0  0 | 0  3  0  6  0  0  0  3  2 0 |  3  0  2 0 1
.. .. .o3.x    .. ..    |  0  3 |  0   0  0   3 |   *  *   *   *  * 320 |  0  0   0   0   0   0   1   1  1   2 |  0  0   0  0   1  1   0   2  1  2  2  1 | 0  1  0  2  2  0  1  2  1 1 |  2  0  1 1 1
------------------------+-------+---------------+-----------------------+--------------------------------------+-----------------------------------------+-----------------------------+-------------
.. x.3o.3o.    .. ..      4  0 |  6   0  0   0 |   4  0   0   0  0   0 | 40  *   *   *   *   *   *   *  *   *   2  0   0  0   0  2   0   0  0  0  0  0 | 1  1  0  0  4  0  0  0  0 0 |  2  0  0 2 0
.. x.3o. .. *c3o. ..      4  0 |  6   0  0   0 |   4  0   0   0  0   0 |  * 80   *   *   *   *   *   *  *   * |  1  1   0  0   0  0   2   0  0  0  0  0 | 1  0  1  0  2  2  0  0  0 0 |  1  1  0 2 0
ox xo .. ..    .. ..&#x   2  2 |  1   4  1   0 |   0  2   2   0  0   0 |  *  * 160   *   *   *   *   *  *   * |  0  0   3  1   0  0   0   0  0  0  0  0 | 0  3  3  0  0  0  0  0  0 0 |  3  1  0 0 0
ox .. .. ox    .. ..&#x   1  4 |  0   4  2   2 |   0  2   0   2  1   0 |  *  *   * 160   *   *   *   *  *   * |  0  0   0  1   3  0   0   0  0  0  0  0 | 0  3  0  3  0  0  0  0  0 0 |  3  0  1 0 0
.. xo3oo ..    .. ..&#x   3  1 |  3   3  0   0 |   1  0   3   0  0   0 |  *  *   *   * 320   *   *   *  *   * |  0  0   1  0   0  1   2   0  0  0  0  0 | 0  1  2  0  2  1  0  0  0 0 |  2  1  0 1 0
.. xo .. ox    .. ..&#x   2  2 |  1   4  0   1 |   0  0   2   2  0   0 |  *  *   *   *   * 160   *   *  *   *   0  0   0  1   0  3   0   0  0  0  0  0 | 0  3  0  0  3  0  0  0  0 0 |  3  0  0 1 0
.. .. oo3ox    .. ..&#x   1  3 |  0   3  0   3 |   0  0   0   3  0   1 |  *  *   *   *   *   * 320   *  *   * |  0  0   0  0   1  1   0   2  0  0  0  0 | 0  1  0  2  2  0  1  0  0 0 |  2  0  1 1 0
.x .. .o3.x    .. ..      0  6 |  0   0  3   6 |   0  0   0   0  3   2 |  *  *   *   *   *   *   * 160  *   * |  0  0   0  0   1  0   0   0  1  2  0  0 | 0  1  0  2  0  0  0  2  1 0 |  2  0  1 0 1
.. .o3.o3.x    .. ..      0  4 |  0   0  0   6 |   0  0   0   0  0   4 |  *  *   *   *   *   *   *   * 80   * |  0  0   0  0   0  1   0   0  1  0  2  0 | 0  1  0  0  2  0  0  2  0 1 |  2  0  0 1 1
.. .. .o3.x *c3.o ..      0  4 |  0   0  0   6 |   0  0   0   0  0   4 |  *  *   *   *   *   *   *   *  * 160 |  0  0   0  0   0  0   0   1  0  1  1  1 | 0  0  0  1  1  0  1  1  1 1 |  1  0  1 1 1
------------------------+-------+---------------+-----------------------+--------------------------------------+-----------------------------------------+-----------------------------+-------------
.. x.3o.3o. *c3o. ..      8  0 | 24   0  0   0 |  32  0   0   0  0   0 |  8  8   0   0   0   0   0   0  0   0 | 10  *   *  *   *  *   *   *  *  *  *  * | 1  0  0  0  2  0  0  0  0 0 |  1  0  0 2 0
.. x.3o. .. *c3o.3o.      5  0 | 10   0  0   0 |  10  0   0   0  0   0 |  0  5   0   0   0   0   0   0  0   0 |  * 16   *  *   *  *   *   *  *  *  *  * | 1  0  0  0  0  2  0  0  0 0 |  0  1  0 2 0
ox xo3oo ..    .. ..&#x   3  2 |  3   6  1   0 |   1  3   6   0  0   0 |  0  0   3   0   2   0   0   0  0   0 |  *  * 160  *   *  *   *   *  *  *  *  * | 0  1  2  0  0  0  0  0  0 0 |  2  1  0 0 0
ox xo .. ox    .. ..&#x   2  4 |  1   8  2   2 |   0  4   4   4  1   0 |  0  0   2   2   0   2   0   0  0   0 |  *  *   * 80   *  *   *   *  *  *  *  * | 0  3  0  0  0  0  0  0  0 0 |  3  0  0 0 0
ox .. oo3ox    .. ..&#x   1  6 |  0   6  3   6 |   0  3   0   6  3   2 |  0  0   0   3   0   0   2   1  0   0 |  *  *   *  * 160  *   *   *  *  *  *  * | 0  1  0  2  0  0  0  0  0 0 |  2  0  1 0 0
.. xo3oo3ox    .. ..&#x   4  4 |  6  12  0   6 |   4  0  12  12  0   4 |  1  0   0   0   4   6   4   0  1   0 |  *  *   *  *   * 80   *   *  *  *  *  * | 0  1  0  0  2  0  0  0  0 0 |  2  0  0 1 0
.. xo3oo .. *c3oo ..&#x   4  1 |  6   4  0   0 |   4  0   6   0  0   0 |  0  1   0   0   4   0   0   0  0   0 |  *  *   *  *   *  * 160   *  *  *  *  * | 0  0  1  0  1  1  0  0  0 0 |  1  1  0 1 0
.. .. oo3ox *c3oo ..&#x   1  4 |  0   4  0   6 |   0  0   0   6  0   4 |  0  0   0   0   0   0   4   0  0   1 |  *  *   *  *   *  *   * 160  *  *  *  * | 0  0  0  1  1  0  1  0  0 0 |  1  0  1 1 0
.x .o3.o3.x    .. ..      0  8 |  0   0  4  12 |   0  0   0   0  6   8 |  0  0   0   0   0   0   0   4  2   0 |  *  *   *  *   *  *   *   * 40  *  *  * | 0  1  0  0  0  0  0  2  0 0 |  2  0  0 0 1
.x .. .o3.x *c3.o ..      0  8 |  0   0  4  12 |   0  0   0   0  6   8 |  0  0   0   0   0   0   0   4  0   2 |  *  *   *  *   *  *   *   *  * 80  *  * | 0  0  0  1  0  0  0  1  1 0 |  1  0  1 0 1
.. .o3.o3.x *c3.o ..      0  8 |  0   0  0  24 |   0  0   0   0  0  32 |  0  0   0   0   0   0   0   0  8   8 |  *  *   *  *   *  *   *   *  *  * 20  * | 0  0  0  0  1  0  0  1  0 1 |  1  0  0 1 1
.. .. .o3.x *c3.o3.o      0  5 |  0   0  0  10 |   0  0   0   0  0  10 |  0  0   0   0   0   0   0   0  0   5 |  *  *   *  *   *  *   *   *  *  *  * 32 | 0  0  0  0  0  0  1  0  1 1 |  0  0  1 1 1
------------------------+-------+---------------+-----------------------+--------------------------------------+-----------------------------------------+-----------------------------+-------------
.. x.3o.3o. *c3o.3o.     16  0 | 80   0  0   0 | 160  0   0   0  0   0 | 40 80   0   0   0   0   0   0  0   0 | 10 16   0  0   0  0   0   0  0  0  0  0 | 1  *  *  *  *  *  *  *  * * |  0  0  0 2 0
ox xo3oo3ox    .. ..&#x   4  8 |  6  24  4  12 |   4 12  24  24  6   8 |  1  0  12  12   8  12   8   4  2   0 |  0  0   4  6   4  2   0   0  1  0  0  0 | * 40  *  *  *  *  *  *  * * |  2  0  0 0 0
ox xo3oo .. *c3oo ..&#x   4  2 |  6   8  1   0 |   4  4  12   0  0   0 |  0  1   6   0   8   0   0   0  0   0 |  0  0   4  0   0  0   2   0  0  0  0  0 | *  * 80  *  *  *  *  *  * * |  1  1  0 0 0
ox .. oo3ox *c3oo ..&#x   1  8 |  0   8  4  12 |   0  4   0  12  6   8 |  0  0   0   6   0   0   8   4  0   2 |  0  0   0  0   4  0   0   2  0  1  0  0 | *  *  * 80  *  *  *  *  * * |  1  0  1 0 0
.. xo3oo3ox *c3oo ..&#x   8  8 | 24  32  0  24 |  32  0  48  48  0  32 |  8  8   0   0  32  24  32   0  8   8 |  1  0   0  0   0  8   8   8  0  0  1  0 | *  *  *  * 20  *  *  *  * * |  1  0  0 1 0
.. xo3oo .. *c3oo3oo&#x   5  1 | 10   5  0   0 |  10  0  10   0  0   0 |  0  5   0   0  10   0   0   0  0   0 |  0  1   0  0   0  0   5   0  0  0  0  0 | *  *  *  *  * 32  *  *  * * |  0  1  0 1 0
.. .. oo3ox *c3oo3oo&#x   1  5 |  0   5  0  10 |   0  0   0  10  0  10 |  0  0   0   0   0   0  10   0  0   5 |  0  0   0  0   0  0   0   5  0  0  0  1 | *  *  *  *  *  * 32  *  * * |  0  0  1 1 0
.x .o3.o3.x *c3.o ..      0 16 |  0   0  8  48 |   0  0   0   0 24  64 |  0  0   0   0   0   0   0  32 16  16 |  0  0   0  0   0  0   0   0  8  8  2  0 | *  *  *  *  *  *  * 10  * * |  1  0  0 0 1
.x .. .o3.x *c3.o3.o      0 10 |  0   0  5  20 |   0  0   0   0 10  20 |  0  0   0   0   0   0   0  10  0  10 |  0  0   0  0   0  0   0   0  0  5  0  2 | *  *  *  *  *  *  *  * 16 * |  0  0  1 0 1
.. .o3.o3.x *c3.o3.o      0 16 |  0   0  0  80 |   0  0   0   0  0 160 |  0  0   0   0   0   0   0   0 40  80 |  0  0   0  0   0  0   0   0  0  0 10 16 | *  *  *  *  *  *  *  *  * 2 |  0  0  0 1 1
------------------------+-------+---------------+-----------------------+--------------------------------------+-----------------------------------------+-----------------------------+-------------
ox xo3oo3ox *c3oo ..&#x   8 16 | 24  64  8  48 |  32 32  96  96 24  64 |  8  8  48  48  64  48  64  32 16  16 |  1  0  32 24  32 16  16  16  8  8  2  0 | 0  8  8  8  2  0  0  1  0 0 | 10  *  * * *
ox xo3oo .. *c3oo3oo&#x   5  2 | 10  10  1   0 |  10  5  20   0  0   0 |  0  5  10   0  20   0   0   0  0   0 |  0  1  10  0   0  0  10   0  0  0  0  0 | 0  0  5  0  0  2  0  0  0 0 |  * 16  * * *
ox .. oo3ox *c3oo3oo&#x   1 10 |  0  10  5  20 |   0  5   0  20 10  20 |  0  0   0  10   0   0  20  10  0  10 |  0  0   0  0  10  0   0  10  0  5  0  2 | 0  0  0  5  0  0  2  0  1 0 |  *  * 16 * *
.. xo3oo3ox *c3oo3oo&#x  16 16 | 80  80  0  80 | 160  0 160 160  0 160 | 40 80   0   0 160  80 160   0 40  80 | 10 16   0  0   0 40  80  80  0  0 10 16 | 1  0  0  0 10 16 16  0  0 1 |  *  *  * 2 *
.x .o3.o3.x *c3.o3.o      0 32 |  0   0 16 160 |   0  0   0   0 80 320 |  0  0   0   0   0   0   0 160 80 160 |  0  0   0  0   0  0   0   0 40 80 20 32 | 0  0  0  0  0  0  0 10 16 2 |  *  *  * * 1

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