Acronym hinro (alt.: hinarat)
Name demipenteractic rotunda,
hin-first half of mo,
hin atop rat
Circumradius 1
Lace city
in approx. ASCII-art
    E        O    		-- x3o3o *b3o3o (hin)
                  
                  
X       I        X		-- o3o3o *b3x3o (rat)

where:
E = x3o3o *b3o (hex)
O = o3o3x *b3o (alt.-1 hex)
X = o3o3o *b3x (alt.-2 hex)
I = o3x3o *b3o (ico)
Face vector 56, 480, 1280, 1240, 428, 44
Confer
uniform relative:
mo  
general polytopal classes:
segmentopeta   fundamental lace prisms   lace simplices  

Incidence matrix according to Dynkin symbol

xo3oo3oo *b3ox3oo&#x   → height = sqrt(3/8) = 0.612372
(hin || rat)

o.3o.3o. *b3o.3o.    | 16  *  10  10   0 |  30  30  30   0  0 | 10 20  30  30  20  10  0  0  0 |  5  5 10 20 10  5  5  0  0  0 | 1  5  5  1 0
.o3.o3.o *b3.o3.o    |  * 40 |  0   4  12 |   0   6  24  24  6 |  0  0   4  12  24  12  8  8 12 |  0  0  1  8  6  8 12  2  4  4 | 0  2  4  4 1
---------------------+-------+------------+--------------------+--------------------------------+-------------------------------+-------------
x. .. ..    .. ..    |  2  0 | 80   *   *    6   3   0   0  0 |  3  6   6   3   0   0  0  0  0 |  3  2  3  6  1  0  0  0  0  0 | 1  3  2  0 0
oo3oo3oo *b3oo3oo&#x |  1  1 |  * 160   *    0   3   6   0  0 |  0  0   3   6   6   3  0  0  0 |  0  0  1  6  3  2  3  0  0  0 | 0  2  3  1 0
.. .. ..    .x ..    |  0  2 |  *   * 240 |   0   0   2   4  1 |  0  0   0   1   4   2  2  2  4 |  0  0  0  2  1  2  4  1  2  2 | 0  1  2  2 1
---------------------+-------+------------+--------------------+--------------------------------+-------------------------------+-------------
x.3o. ..    .. ..    |  3  0 |  3   0   0 | 160   *   *   *  * |  1  2   1   0   0   0  0  0  0 |  2  1  1  2  0  0  0  0  0  0 | 1  2  1  0 0
xo .. ..    .. ..&#x |  2  1 |  1   2   0 |   * 240   *   *  * |  0  0   2   2   0   0  0  0  0 |  0  0  1  4  1  0  0  0  0  0 | 0  2  2  0 0
.. .. ..    ox ..&#x |  1  2 |  0   2   1 |   *   * 480   *  * |  0  0   0   1   2   1  0  0  0 |  0  0  0  2  1  1  2  0  0  0 | 0  1  2  1 0
.. .o .. *b3.x ..    |  0  3 |  0   0   3 |   *   *   * 320  * |  0  0   0   0   1   0  1  1  1 |  0  0  0  1  0  1  1  1  1  1 | 0  1  1  1 1
.. .. ..    .x3.o    |  0  3 |  0   0   3 |   *   *   *   * 80 |  0  0   0   0   0   2  0  0  4 |  0  0  0  0  1  0  4  0  2  2 | 0  0  2  2 1
---------------------+-------+------------+--------------------+--------------------------------+-------------------------------+-------------
x.3o.3o.    .. ..      4  0 |  6   0   0 |   4   0   0   0  0 | 40  *   *   *   *   *  *  *  * |  2  0  1  0  0  0  0  0  0  0 | 1  2  0  0 0
x.3o. .. *b3o. ..      4  0 |  6   0   0 |   4   0   0   0  0 |  * 80   *   *   *   *  *  *  * |  1  1  0  1  0  0  0  0  0  0 | 1  1  1  0 0
xo3oo ..    .. ..&#x   3  1 |  3   3   0 |   1   3   0   0  0 |  *  * 160   *   *   *  *  *  * |  0  0  1  2  0  0  0  0  0  0 | 0  2  1  0 0
xo .. ..    ox ..&#x   2  2 |  1   4   1 |   0   2   2   0  0 |  *  *   * 240   *   *  *  *  * |  0  0  0  2  1  0  0  0  0  0 | 0  1  2  0 0
.. oo .. *b3ox ..&#x   1  3 |  0   3   3 |   0   0   3   1  0 |  *  *   *   * 320   *  *  *  * |  0  0  0  1  0  1  1  0  0  0 | 0  1  1  1 0
.. .. ..    ox3oo&#x   1  3 |  0   3   3 |   0   0   3   0  1 |  *  *   *   *   * 160  *  *  * |  0  0  0  0  1  0  2  0  0  0 | 0  0  2  1 0
.o3.o .. *b3.x ..      0  4 |  0   0   6 |   0   0   0   4  0 |  *  *   *   *   *   * 80  *  * |  0  0  0  1  0  0  0  1  1  0 | 0  1  1  0 1
.. .o3.o *b3.x ..      0  4 |  0   0   6 |   0   0   0   4  0 |  *  *   *   *   *   *  * 80  * |  0  0  0  0  0  1  0  1  0  1 | 0  1  0  1 1
.. .o .. *b3.x3.o      0  6 |  0   0  12 |   0   0   0   4  4 |  *  *   *   *   *   *  *  * 80 |  0  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
---------------------+-------+------------+--------------------+--------------------------------+-------------------------------+-------------
x.3o.3o. *b3o. ..      8  0 | 24   0   0 |  32   0   0   0  0 |  8  8   0   0   0   0  0  0  0 | 10  *  *  *  *  *  *  *  *  * | 1  1  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  0 |  * 16  *  *  *  *  *  *  *  * | 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  0 |  *  * 40  *  *  *  *  *  *  * | 0  2  0  0 0
xo3oo .. *b3ox ..&#x   4  4 |  6  12   6 |   4  12  12   4  0 |  0  1   4   6   4   0  1  0  0 |  *  *  * 80  *  *  *  *  *  * | 0  1  1  0 0
xo .. ..    ox3oo&#x   2  3 |  1   6   3 |   0   3   6   0  1 |  0  0   0   3   0   2  0  0  0 |  *  *  *  * 80  *  *  *  *  * | 0  0  2  0 0
.. oo3oo *b3ox ..&#x   1  4 |  0   4   6 |   0   0   6   4  0 |  0  0   0   0   4   0  0  1  0 |  *  *  *  *  * 80  *  *  *  * | 0  1  0  1 0
.. oo .. *b3ox3oo&#x   1  6 |  0   6  12 |   0   0  12   4  4 |  0  0   0   0   4   4  0  0  1 |  *  *  *  *  *  * 80  *  *  * | 0  0  1  1 0
.o3.o3.o *b3.x ..      0  8 |  0   0  24 |   0   0   0  32  0 |  0  0   0   0   0   0  8  8  0 |  *  *  *  *  *  *  * 10  *  * | 0  1  0  0 1
.o3.o .. *b3.x3.o      0 10 |  0   0  30 |   0   0   0  20 10 |  0  0   0   0   0   0  5  0  5 |  *  *  *  *  *  *  *  * 16  * | 0  0  1  0 1
.. .o3.o *b3.x3.o      0 10 |  0   0  30 |   0   0   0  20 10 |  0  0   0   0   0   0  0  5  5 |  *  *  *  *  *  *  *  *  * 16 | 0  0  0  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  0 | 10 16  0  0  0  0  0  0  0  0 | 1  *  *  * *
xo3oo3oo *b3ox ..&#x   8  8 | 24  32  24 |  32  48  48  32  0 |  8  8  32  24  32   0  8  8  0 |  1  0  8  8  0  8  0  1  0  0 | * 10  *  * *
xo3oo .. *b3ox3oo&#x   5 10 | 10  30  30 |  10  30  60  20 10 |  0  5  10  30  20  20  5  0  5 |  0  1  0  5 10  0  5  0  1  0 | *  * 16  * *
.. oo3oo *b3ox3oo&#x   1 10 |  0  10  30 |   0   0  30  20 10 |  0  0   0   0  20  10  0  5  5 |  0  0  0  0  0  5  5  0  0  1 | *  *  * 16 *
.o3.o3.o *b3.x3.o      0 40 |  0   0 240 |   0   0   0 320 80 |  0  0   0   0   0   0 80 80 80 |  0  0  0  0  0  0  0 10 16 16 | *  *  *  * 1

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