Acronym bicotoe
Name bi - (cuboctahedron, truncated octahedron)-duoprism
Circumradius sqrt(7/2) = 1.870829
Confer
uniform relative:
gee   cotoe  
general polytopal classes:
scaliform  

This polypeton could be derived from gee in its representation xo3oo4oo ox3oo4oo&#zx as a partial biexpansion. However gee also allows for the representation oo3ox3oo oo3xo3oo&#zx and therefore also bitettut could be attributed with that description, i.e. that one is not specific enough.


Incidence matrix according to Dynkin symbol

xo3xx4oo ox3xx4oo&#zx   → height = 0
(tegum sum of 2 interchanged cotoes)

o.3o.4o. o.3o.4o.     & | 576 |   1   2    4   2 |   2   4   1    8   2   2   3    8 |   8   2   2   4   4   4  1   6   1   6   4   8 |   4  4  1  2  2  2   4  12   3   8 |  2  1  4  6  2
------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+---------------
x. .. .. .. .. ..     & |   2 | 288   *    *   * |   2   4   0    0   0   0   2    0 |   8   2   2   0   0   0  0   4   1   4   0   0 |   4  4  1  0  0  0   4   8   2   0 |  2  0  4  4  0
.. x. .. .. .. ..     & |   2 |   * 576    *   * |   1   0   1    4   0   0   0    2 |   4   0   0   4   2   2  0   2   0   1   2   4 |   2  2  0  2  2  1   1   6   1   6 |  1  1  2  4  2
.. .. .. .. x. ..     & |   2 |   *   * 1152   * |   0   1   0    2   1   1   0    1 |   2   1   1   1   2   2  1   1   0   1   1   2 |   2  2  1  1  1  2   1   4   1   3 |  2  1  2  3  1
oo3oo4oo oo3oo4oo&#x    |   2 |   *   *    * 576 |   0   0   0    0   0   0   2    4 |   0   0   0   0   0   0  0   4   1   4   2   4 |   0  0  0  0  0  0   4   8   2   4 |  0  0  4  4  1
------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+---------------
x.3x. .. .. .. ..     & |   6 |   3   3    0   0 | 192   *   *    *   *   *   *    * |   4   0   0   0   0   0  0   2   0   0   0   0 |   2  2  0  0  0  0   1   4   0   0 |  1  0  2  2  0
x. .. .. .. x. ..     & |   4 |   2   0    2   0 |   * 576   *    *   *   *   *    * |   2   1   1   0   0   0  0   0   0   1   0   0 |   2  2  1  0  0  0   1   2   1   0 |  2  0  2  2  0
.. x.4o. .. .. ..     & |   4 |   0   4    0   0 |   *   * 144    *   *   *   *    * |   0   0   0   4   0   0  0   0   0   0   2   0 |   0  0  0  2  2  0   0   0   1   4 |  0  1  0  2  2
.. x. .. .. x. ..     & |   4 |   0   2    2   0 |   *   *   * 1152   *   *   *    * |   1   0   0   1   1   1  0   0   0   0   0   1 |   1  1  0  1  1  1   0   2   0   2 |  1  1  1  2  1
.. .. .. o.3x. ..     & |   3 |   0   0    3   0 |   *   *   *    * 384   *   *    * |   0   1   0   0   2   0  1   1   0   0   0   0 |   2  0  1  1  0  2   1   2   0   0 |  2  1  2  1  0
.. .. .. .. x.4o.     & |   4 |   0   0    4   0 |   *   *   *    *   * 288   *    * |   0   0   1   0   0   2  1   0   0   0   1   0 |   0  2  1  0  1  2   0   0   0   0 |  2  1  0  0  1
xo .. .. .. .. ..&#x  & |   3 |   1   0    0   2 |   *   *   *    *   *   * 576    * |   0   0   0   0   0   0  0   2   1   2   0   0 |   0  0  0  0  0  0   4   4   1   0 |  0  0  4  2  0
.. xx .. .. .. ..&#x  & |   4 |   0   1    1   2 |   *   *   *    *   *   *   * 1152 |   0   0   0   0   0   0  0   1   0   1   1   2 |   0  0  0  0  0  0   1   4   1   3 |  0  0  2  3  1
------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+---------------
x.3x. .. .. x. ..     &   12 |   6   6    6   0 |   2   3   0    3   0   0   0    0 | 384   *   *   *   *   *  *   *   *   *   *   * |   1  1  0  0  0  0   0   1   0   0 |  1  0  1  1  0
x. .. .. o.3x. ..     &    6 |   3   0    6   0 |   0   3   0    0   2   0   0    0 |   * 192   *   *   *   *  *   *   *   *   *   * |   2  0  1  0  0  0   1   0   0   0 |  2  0  2  0  0
x. .. .. .. x.4o.     &    8 |   4   0    8   0 |   0   4   0    0   0   2   0    0 |   *   * 144   *   *   *  *   *   *   *   *   * |   0  2  1  0  0  0   0   0   1   0 |  2  0  0  2  0
.. x.4o. .. x. ..     &    8 |   0   8    4   0 |   0   0   2    4   0   0   0    0 |   *   *   * 288   *   *  *   *   *   *   *   * |   0  0  0  1  1  0   0   0   0   1 |  0  1  0  1  1
.. x. .. o.3x. ..     &    6 |   0   3    6   0 |   0   0   0    3   2   0   0    0 |   *   *   *   * 384   *  *   *   *   *   *   * |   1  0  0  1  0  1   0   1   0   0 |  1  1  1  1  0
.. x. .. .. x.4o.     &    8 |   0   4    8   0 |   0   0   0    4   0   2   0    0 |   *   *   *   *   * 288  *   *   *   *   *   * |   0  1  0  0  1  1   0   0   0   1 |  1  1  0  1  1
.. .. .. o.3x.4o.     &   12 |   0   0   24   0 |   0   0   0    0   8   6   0    0 |   *   *   *   *   *   * 48   *   *   *   *   * |   0  0  1  0  0  2   0   0   0   0 |  2  1  0  0  0
xo3xx .. .. .. ..&#x  &    9 |   3   3    3   6 |   1   0   0    0   1   0   3    3 |   *   *   *   *   *   *  * 384   *   *   *   * |   0  0  0  0  0  0   2   2   0   0 |  0  0  2  1  0
xo .. .. ox .. ..&#x       4 |   2   0    0   4 |   0   0   0    0   0   0   4    0 |   *   *   *   *   *   *  *   * 144   *   *   * |   0  0  0  0  0  0   4   0   0   0 |  0  0  4  0  0
xo .. .. .. xx ..&#x  &    6 |   2   1    2   4 |   0   1   0    0   0   0   2    2 |   *   *   *   *   *   *  *   *   * 576   *   * |   0  0  0  0  0  0   1   2   1   0 |  0  0  2  2  0
.. xx4oo .. .. ..&#x  &    8 |   0   4    4   4 |   0   0   1    0   0   1   0    4 |   *   *   *   *   *   *  *   *   *   * 288   * |   0  0  0  0  0  0   0   0   1   2 |  0  0  0  2  1
.. xx .. .. xx ..&#x       8 |   0   4    4   4 |   0   0   0    2   0   0   0    4 |   *   *   *   *   *   *  *   *   *   *   * 576 |   0  0  0  0  0  0   0   2   0   2 |  0  0  1  2  1
------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+---------------
x.3x. .. o.3x. ..     &   18 |   9   9   18   0 |   3   9   0    9   6   0   0    0 |   3   3   0   0   3   0  0   0   0   0   0   0 | 128  *  *  *  *  *   *   *   *   * |  1  0  1  0  0
x.3x. .. .. x.4o.     &   24 |  12  12   24   0 |   4  12   0   12   0   6   0    0 |   4   0   3   0   0   3  0   0   0   0   0   0 |   * 96  *  *  *  *   *   *   *   * |  1  0  0  1  0
x. .. .. o.3x.4o.     &   24 |  12   0   48   0 |   0  24   0    0  16  12   0    0 |   0   8   6   0   0   0  2   0   0   0   0   0 |   *  * 24  *  *  *   *   *   *   * |  2  0  0  0  0
.. x.4o. o.3x. ..     &   12 |   0  12   12   0 |   0   0   3   12   4   0   0    0 |   0   0   0   3   4   0  0   0   0   0   0   0 |   *  *  * 96  *  *   *   *   *   * |  0  1  0  1  0
.. x.4o. .. x.4o.     &   16 |   0  16   16   0 |   0   0   4   16   0   4   0    0 |   0   0   0   4   0   4  0   0   0   0   0   0 |   *  *  *  * 72  *   *   *   *   * |  0  1  0  0  1
.. x. .. o.3x.4o.     &   24 |   0  12   48   0 |   0   0   0   24  16  12   0    0 |   0   0   0   0   8   6  2   0   0   0   0   0 |   *  *  *  *  * 48   *   *   *   * |  1  1  0  0  0
xo3xx .. ox .. ..&#x  &   12 |   6   3    6  12 |   1   3   0    0   2   0  12    6 |   0   1   0   0   0   0  0   2   3   3   0   0 |   *  *  *  *  *  * 192   *   *   * |  0  0  2  0  0
xo3xx .. .. xx ..&#x  &   18 |   6   9   12  12 |   2   3   0    6   2   0   6   12 |   1   0   0   0   1   0  0   2   0   3   0   3 |   *  *  *  *  *  *   * 384   *   * |  0  0  1  1  0
xo .. .. .. xx4oo&#x  &   12 |   4   4    8   8 |   0   4   1    0   0   2   4    8 |   0   0   1   0   0   0  0   0   0   4   2   0 |   *  *  *  *  *  *   *   * 144   * |  0  0  0  2  0
.. xx4oo .. xx ..&#x  &   16 |   0  12   12   8 |   0   0   2    8   0   2   0   12 |   0   0   0   1   0   1  0   0   0   0   2   4 |   *  *  *  *  *  *   *   *   * 288 |  0  0  0  1  1
------------------------+-----+------------------+-----------------------------------+------------------------------------------------+------------------------------------+---------------
x.3x. .. o.3x.4o.     &   72 |  36  36  144   0 |  12  72   0   72  48  36   0    0 |  24  24  18   0  24  18  6   0   0   0   0   0 |   8  6  3  0  0  3   0   0   0   0 | 16  *  *  *  *
.. x.4o. o.3x.4o.     &   48 |   0  48   96   0 |   0   0  12   96  32  24   0    0 |   0   0   0  24  32  24  4   0   0   0   0   0 |   0  0  0  8  6  4   0   0   0   0 |  * 12  *  *  *
xo3xx .. ox3xx ..&#x      36 |  18  18   36  36 |   6  18   0   18  12   0  36   36 |   6   6   0   0   6   0  0  12   9  18   0   9 |   2  0  0  0  0  0   6   6   0   0 |  *  * 64  *  *
xo3xx .. .. xx4oo&#x  &   36 |  12  24   36  24 |   4  12   3   24   4   0  12   36 |   4   0   3   3   4   3  0   4   0  12   6  12 |   0  1  0  1  0  0   0   4   3   3 |  *  *  * 96  *
.. xx4oo .. xx4oo&#x      32 |   0  32   32  16 |   0   0   8   32   0   8   0   32 |   0   0   0   8   0   8  0   0   0   0   8  16 |   0  0  0  0  2  0   0   0   0   8 |  *  *  *  * 36

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