Acronym naqpe
Name naq prism,
prism of Gosset polyexon 32,1,
vertex figure of rigoh
Circumradius 1
Lace city
in approx. ASCII-art
h   R   r   H  		-- o3o3o3o *c3o3o3x (naq)
             
             
             
h   R   r   H  		-- o3o3o3o *c3o3o3x (naq)

where:
h = x3o3o3o3o3o (hop)
H = o3o3o3o3o3x (dual hop)
r = o3x3o3o3o3o (ril)
R = o3o3o3o3x3o (inv. ril)
g   h   g  		-- o3o3o3o *c3o3o3x (naq)
         
         
g   h   g  		-- o3o3o3o *c3o3o3x (naq)

where:
g = o3o3o *b3o3o3x (gee)
h = x3o3o *b3o3o3o (hax)
Volume 17/140 = 0.121429
Face vector 112, 1568, 8820, 24192, 34272, 24192, 7452, 704
Confer
uniform relative:
fy  
general polytopal classes:
Wythoffian polyzetta   segmentozetta  

Incidence matrix according to Dynkin symbol

x o3o3o3o *d3o3o3x

. . . . .    . . . | 112 |  1   27 |  27  216 |  216   720 |   720  1080 |  1080  432  216 |  432  216   72  27 |  72  27 1
-------------------+-----+---------+----------+------------+-------------+-----------------+--------------------+----------
x . . . .    . . . |   2 | 56    *   27    0 |  216     0 |   720     0 |  1080    0    0 |  432  216    0   0 |  72  27 0
. . . . .    . . x |   2 |  * 1512 |   1   16 |   16    80 |    80   160 |   160   80   40 |   80   40   16  10 |  16  10 1
-------------------+-----+---------+----------+------------+-------------+-----------------+--------------------+----------
x . . . .    . . x |   4 |  2    2 | 756    *    16     0 |    80     0 |   160    0    0 |   80   40    0   0 |  16  10 0
. . . . .    . o3x |   3 |  0    3 |   * 8064 |    1    10 |    10    30 |    30   20   10 |   20   10    5   5 |   5   5 1
-------------------+-----+---------+----------+------------+-------------+-----------------+--------------------+----------
x . . . .    . o3x    6 |  3    6 |   3    2 | 4032     *     10     0 |    30    0    0 |   20   10    0   0 |   5   5 0
. . . . .    o3o3x    4 |  0    6 |   0    4 |    * 20160 |     1     6 |     6    6    3 |    6    3    2   3 |   2   3 1
-------------------+-----+---------+----------+------------+-------------+-----------------+--------------------+----------
x . . . .    o3o3x    8 |  4   12 |   6    8 |    4     2 | 10080     *      6    0    0 |    6    3    0   0 |   2   3 0
. . . o . *c3o3o3x    5 |  0   10 |   0   10 |    0     5 |     * 24192 |     1    2    1 |    2    1    1   2 |   1   2 1
-------------------+-----+---------+----------+------------+-------------+-----------------+--------------------+----------
x . . o . *c3o3o3x   10 |  5   20 |  10   20 |   10    10 |     5     2 | 12096    *    * |    2    1    0   0 |   1   2 0
. . o3o . *c3o3o3x    6 |  0   15 |   0   20 |    0    15 |     0     6 |     * 8064    * |    1    0    1   1 |   1   1 1
. . . o3o *c3o3o3x    6 |  0   15 |   0   20 |    0    15 |     0     6 |     *    * 4032 |    0    1    0   2 |   0   2 1
-------------------+-----+---------+----------+------------+-------------+-----------------+--------------------+----------
x . o3o . *c3o3o3x   12 |  6   30 |  15   40 |   20    30 |    15    12 |     6    2    0 | 4032    *    *   * |   1   1 0
x . . o3o *c3o3o3x   12 |  6   30 |  15   40 |   20    30 |    15    12 |     6    0    2 |    * 2016    *   * |   0   2 0
. o3o3o . *c3o3o3x    7 |  0   21 |   0   35 |    0    35 |     0    21 |     0    7    0 |    *    * 1152   * |   1   0 1
. . o3o3o *c3o3o3x   12 |  0   60 |   0  160 |    0   240 |     0   192 |     0   32   32 |    *    *    * 252 |   0   1 1
-------------------+-----+---------+----------+------------+-------------+-----------------+--------------------+----------
x o3o3o . *c3o3o3x   14 |  7   42 |  21   70 |   35    70 |    35    42 |    21   14    0 |    7    0    2   0 | 576   * *
x . o3o3o *c3o3o3x   24 | 12  120 |  60  320 |  160   480 |   240   384 |   192   64   64 |   32   32    0   2 |   * 126 *
. o3o3o3o *c3o3o3x   56 |  0  756 |   0 4032 |    0 10080 |     0 12096 |     0 4032 2016 |    0    0  576 126 |   *   * 2

oo3oo3oo3oo *c3oo3oo3xx&#x   → height = 1
(naq || naq)

...

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