Acronym thid
Name triaconta-hexa-diminished pentacontihexapentacosiheptacontihexaexon
Circumradius 1
Lace city
in approx. ASCII-art
   +     -   
             
-           +
             
   +     -   

where:
+ = o3x3o3o3o (rix)
- = o3o3o3x3o (inv. rix)
Face vector 90, 990, 3570, 5520, 3972, 1224, 104
Confer
uniform relative:
laq   trarix  
general polytopal classes:
scaliform  

Incidence matrix according to Dynkin symbol

xo3ox oo3xo3oo3ox3oo&#zx
(tegum sum of 2 mutually bi-inv. trarixes)

o.3o. o.3o.3o.3o.3o.     & | 90 |  2   8  12 |  1  16   4  12  18   72 |   8  24  6   8  6   60   48  32  32   48 |  12  16  4  2  36  28   72  20  20  14  40  16 |  8  4 1  16  24  24  28  8 12   8 |  2  8  4  8 2
---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+--------------
x. .. .. .. .. .. ..     & |  2 | 90   *   * |  1   8   0   0   6    0 |   8  12  0   0  6   24   12   0   0    0 |  12   8  0  0  36  12   24   4   4   0   0   0 |  8  2 0  16  24   8   8  1  0   0 |  2  8  4  2 0
.. .. x. .. .. .. ..     & |  2 |  * 360   * |  0   2   1   3   0    6 |   1   6  3   3  0    6    3   6   6    6 |   3   6  3  1   3   6    9   3   3   6   8   6 |  3  2 1   3   3   9   5  3  8   2 |  1  3  1  5 2
oo3oo oo3oo3oo3oo3oo&#x    |  2 |  *   * 540 |  0   0   0   0   2    8 |   0   0  0   0  1    8    8   4   4    8 |   0   0  0  0   8   4   16   4   4   2   8   4 |  0  0 0   4   8   8   8  2  4   2 |  0  4  2  4 1
---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+--------------
x.3o. .. .. .. .. ..     & |  3 |  3   0   0 | 30   *   *   *   *    * |   8   0  0   0  6    0    0   0   0    0 |  12   0  0  0  36   0    0   0   0   0   0   0 |  8  0 0  16  24   0   0  0  0   0 |  2  8  4  0 0
x. .. .. x. .. .. ..     & |  4 |  2   2   0 |  * 360   *   *   *    * |   1   3  0   0  0    3    0   0   0    0 |   3   3  0  0   3   3    3   0   0   0   0   0 |  3  1 0   3   3   3   1  0  0   0 |  1  3  1  1 0
.. .. o.3x. .. .. ..     & |  3 |  0   3   0 |  *   * 120   *   *    * |   0   0  3   0  0    0    0   6   0    0 |   0   0  3  0   0   0    0   0   3   6   6   0 |  0  0 1   0   0   0   3  3  6   2 |  0  0  1  3 2
.. .. .. x.3o. .. ..     & |  3 |  0   3   0 |  *   *   * 360   *    * |   0   2  1   2  0    0    0   0   2    0 |   1   4  2  1   0   2    0   1   0   2   0   4 |  2  2 1   1   0   6   0  1  6   0 |  1  2  0  4 2
xo .. .. .. .. .. ..&#x  & |  3 |  1   0   2 |  *   *   *   * 540    * |   0   0  0   0  1    4    4   0   0    0 |   0   0  0  0   8   2    8   2   2   0   0   0 |  0  0 0   4   8   4   4  1  0   0 |  0  4  2  2 0
.. .. .. xo .. .. ..&#x  & |  3 |  0   1   2 |  *   *   *   *   * 2160 |   0   0  0   0  0    1    1   1   1    2 |   0   0  0  0   1   1    4   1   1   1   3   2 |  0  0 0   1   2   4   3  1  3   1 |  0  2  1  3 1
---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+--------------
x.3o. .. x. .. .. ..     &   6 |  6   3   0 |  2   3   0   0   0    0 | 120   *  *   *  *    *    *   *   *    * |   3   0  0  0   3   0    0   0   0   0   0   0 |  3  0 0   3   3   0   0  0  0   0 |  1  3  1  0 0
x. .. .. x.3o. .. ..     &   6 |  3   6   0 |  0   3   0   2   0    0 |   * 360  *   *  *    *    *   *   *    * |   1   2  0  0   0   1    0   0   0   0   0   0 |  2  1 0   1   0   2   0  0  0   0 |  1  2  0  1 0
.. .. o.3x.3o. .. ..     &   6 |  0  12   0 |  0   0   4   4   0    0 |   *   * 90   *  *    *    *   *   *    * |   0   0  2  2   0   0    0   0   0   0   0   0 |  0  0 1   0   0   0   0  1  4   0 |  0  0  0  2 2
.. .. .. x.3o.3o. ..     &   4 |  0   6   0 |  0   0   0   4   0    0 |   *   *  * 180  *    *    *   *   *    * |   0   2  1  1   0   0    0   0   0   0   0   2 |  1  2 1   0   0   3   0  0  4   0 |  1  1  0  3 2
xo3ox .. .. .. .. ..&#x      6 |  6   0   6 |  2   0   0   0   6    0 |   *   *  *   * 90    *    *   *   *    * |   0   0  0  0   8   0    0   0   0   0   0   0 |  0  0 0   4   8   0   0  0  0   0 |  0  4  2  0 0
xo .. .. xo .. .. ..&#x  &   5 |  2   2   4 |  0   1   0   0   2    2 |   *   *  *   *  * 1080    *   *   *    * |   0   0  0  0   1   1    2   0   0   0   0   0 |  0  0 0   1   2   2   1  0  0   0 |  0  2  1  1 0
xo .. .. .. .. ox ..&#x  &   4 |  1   1   4 |  0   0   0   0   2    2 |   *   *  *   *  *    * 1080   *   *    * |   0   0  0  0   1   0    2   1   1   0   0   0 |  0  0 0   1   2   2   2  1  0   0 |  0  2  1  2 0
.. .. oo3xo .. .. ..&#x  &   4 |  0   3   3 |  0   0   1   0   0    3 |   *   *  *   *  *    *    * 720   *    * |   0   0  0  0   0   0    0   0   1   1   2   0 |  0  0 0   0   0   0   2  1  2   1 |  0  0  1  2 1
.. .. .. xo3oo .. ..&#x  &   4 |  0   3   3 |  0   0   0   1   0    3 |   *   *  *   *  *    *    *   * 720    * |   0   0  0  0   0   1    0   1   0   1   0   2 |  0  0 0   1   0   4   0  1  3   0 |  0  2  0  3 1
.. .. .. xo .. ox ..&#x      4 |  0   2   4 |  0   0   0   0   0    4 |   *   *  *   *  *    *    *   *   * 1080 |   0   0  0  0   0   0    2   0   0   0   2   1 |  0  0 0   0   1   2   2  0  2   1 |  0  1  1  2 1
---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+--------------
x.3o. .. x.3o. .. ..     &   9 |  9   9   0 |  3   9   0   3   0    0 |   3   3  0   0  0    0    0   0   0    0 | 120   *  *  *   *   *    *   *   *   *   *   * |  2  0 0   1   0   0   0  0  0   0 |  1  2  0  0 0
x. .. .. x.3o.3o. ..     &   8 |  4  12   0 |  0   6   0   8   0    0 |   0   4  0   2  0    0    0   0   0    0 |   * 180  *  *   *   *    *   *   *   *   *   * |  1  1 0   0   0   1   0  0  0   0 |  1  1  0  1 0
.. .. o.3x.3o.3o. ..     &  10 |  0  30   0 |  0   0  10  20   0    0 |   0   0  5   5  0    0    0   0   0    0 |   *   * 36  *   *   *    *   *   *   *   *   * |  0  0 1   0   0   0   0  0  2   0 |  0  0  0  1 2
.. .. .. x.3o.3o.3o.     &   5 |  0  10   0 |  0   0   0  10   0    0 |   0   0  0   5  0    0    0   0   0    0 |   *   *  * 36   *   *    *   *   *   *   *   * |  0  2 1   0   0   0   0  0  2   0 |  1  0  0  2 2
xo3ox .. xo .. .. ..&#x  &   9 |  9   3  12 |  3   3   0   0  12    6 |   1   0  0   0  2    3    3   0   0    0 |   *   *  *  * 360   *    *   *   *   *   *   * |  0  0 0   1   2   0   0  0  0   0 |  0  2  1  0 0
xo .. .. xo3oo .. ..&#x  &   7 |  3   6   6 |  0   3   0   2   3    6 |   0   1  0   0  0    3    0   0   2    0 |   *   *  *  *   * 360    *   *   *   *   *   * |  0  0 0   1   0   2   0  0  0   0 |  0  2  0  1 0
xo .. .. xo .. ox ..&#x  &   6 |  2   3   8 |  0   1   0   0   4    8 |   0   0  0   0  0    2    2   0   0    2 |   *   *  *  *   *   * 1080   *   *   *   *   * |  0  0 0   0   1   1   1  0  0   0 |  0  1  1  1 0
xo .. .. .. oo3ox ..&#x  &   5 |  1   3   6 |  0   0   0   1   3    6 |   0   0  0   0  0    0    3   0   2    0 |   *   *  *  *   *   *    * 360   *   *   *   * |  0  0 0   1   0   2   0  1  0   0 |  0  2  0  2 0
xo .. .. .. .. ox3oo&#x  &   5 |  1   3   6 |  0   0   1   0   3    6 |   0   0  0   0  0    0    3   2   0    0 |   *   *  *  *   *   *    *   * 360   *   *   * |  0  0 0   0   0   0   2  1  0   0 |  0  0  1  2 0
.. .. oo3xo3oo .. ..&#x  &   7 |  0  12   6 |  0   0   4   4   0   12 |   0   0  1   0  0    0    0   4   4    0 |   *   *  *  *   *   *    *   *   * 180   *   * |  0  0 0   0   0   0   0  1  2   0 |  0  0  0  2 1
.. .. oo3xo .. ox ..&#x  &   5 |  0   4   6 |  0   0   1   0   0    9 |   0   0  0   0  0    0    0   2   0    3 |   *   *  *  *   *   *    *   *   *   * 720   * |  0  0 0   0   0   0   1  0  1   1 |  0  0  1  1 1
.. .. .. xo3oo3ox ..&#x      8 |  0  12  12 |  0   0   0   8   0   24 |   0   0  0   2  0    0    0   0   8    6 |   *   *  *  *   *   *    *   *   *   *   * 180 |  0  0 0   0   0   2   0  0  2   0 |  0  1  0  2 1
---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+--------------
x.3o. .. x.3o.3o. ..     &  12 | 12  18   0 |  4  18   0  12   0    0 |   6  12  0   3  0    0    0   0   0    0 |   4   3  0  0   0   0    0   0   0   0   0   0 | 60  * *   *   *   *   *  *  *   * |  1  1  0  0 0
x. .. .. x.3o.3o.3o.     &  10 |  5  20   0 |  0  10   0  20   0    0 |   0  10  0  10  0    0    0   0   0    0 |   0   5  0  2   0   0    0   0   0   0   0   0 |  * 36 *   *   *   *   *  *  *   * |  1  0  0  1 0
.. .. o.3x.3o.3o.3o.     &  15 |  0  60   0 |  0   0  20  60   0    0 |   0   0 15  30  0    0    0   0   0    0 |   0   0  6  6   0   0    0   0   0   0   0   0 |  *  * 6   *   *   *   *  *  *   * |  0  0  0  0 2
xo3ox .. xo3oo .. ..&#x  &  12 | 12   9  18 |  4   9   0   3  18   18 |   3   3  0   0  3    9    9   0   6    0 |   1   0  0  0   3   3    0   3   0   0   0   0 |  *  * * 120   *   *   *  *  *   * |  0  2  0  0 0
xo3ox .. xo .. ox ..&#x     12 | 12   6  24 |  4   6   0   0  24   24 |   2   0  0   0  4   12   12   0   0    6 |   0   0  0  0   4   0    6   0   0   0   0   0 |  *  * *   * 180   *   *  *  *   * |  0  1  1  0 0
xo .. .. xo3oo3ox ..&#x  &  12 |  4  18  24 |  0   6   0  12  12   48 |   0   4  0   3  0   12   12   0  16   12 |   0   1  0  0   0   4    6   4   0   0   0   2 |  *  * *   *   * 180   *  *  *   * |  0  1  0  1 0
xo .. .. xo .. ox3oo&#x  &   7 |  2   5  12 |  0   1   1   0   6   18 |   0   0  0   0  0    3    6   4   0    6 |   0   0  0  0   0   0    3   0   2   0   2   0 |  *  * *   *   *   * 360  *  *   * |  0  0  1  1 0
xo .. .. .. oo3ox3oo&#x  &   8 |  1  12  12 |  0   0   4   4   6   24 |   0   0  1   0  0    0   12   8   8    0 |   0   0  0  0   0   0    0   4   4   2   0   0 |  *  * *   *   *   *   * 90  *   * |  0  0  0  2 0
.. .. oo3xo3oo3ox ..&#x  &  15 |  0  40  30 |  0   0  10  30   0   90 |   0   0  5  10  0    0    0  20  30   30 |   0   0  1  1   0   0    0   0   0   5  10   5 |  *  * *   *   *   *   *  * 72   * |  0  0  0  1 1
.. .. oo3xo .. ox3oo&#x      6 |  0   6   9 |  0   0   2   0   0   18 |   0   0  0   0  0    0    0   6   0    9 |   0   0  0  0   0   0    0   0   0   0   6   0 |  *  * *   *   *   *   *  *  * 120 |  0  0  1  0 1
---------------------------+----+------------+-------------------------+------------------------------------------+------------------------------------------------+-----------------------------------+--------------
x.3o. .. x.3o.3o.3o.     &  15 | 15  30   0 |  5  30   0  30   0    0 |  10  30  0  15  0    0    0   0   0    0 |  10  15  0  3   0   0    0   0   0   0   0   0 |  5  3 0   0   0   0   0  0  0   0 | 12  *  *  * *
xo3ox .. xo3oo3ox ..&#x     24 | 24  36  72 |  8  36   0  24  72  144 |  12  24  0   6 12   72   72   0  48   36 |   8   6  0  0  24  24   36  24   0   0   0   6 |  2  0 0   8   6   6   0  0  0   0 |  * 30  *  * *
xo3ox oo3xo .. ox3oo&#zx    18 | 18  18  54 |  6  18   6   0  54  108 |   6   0  0   0  9   54   54  36   0   54 |   0   0  0  0  18   0   54   0  18   0  36   0 |  0  0 0   0   9   0  18  0  0   6 |  *  * 20  * *
xo .. .. xo3oo3ox3oo&#x  &  20 |  5  50  60 |  0  10  10  40  30  180 |   0  10  5  15  0   30   60  40  60   60 |   0   5  1  2   0  10   30  20  20  10  20  10 |  0  1 0   0   0   5  10  5  2   0 |  *  *  * 36 *
.. .. oo3xo3oo3ox3oo&#x     30 |  0 120  90 |  0   0  40 120   0  360 |   0   0 30  60  0    0    0 120 120  180 |   0   0 12 12   0   0    0   0   0  30 120  30 |  0  0 2   0   0   0   0  0 12  20 |  *  *  *  * 6

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