Acronym snico
Name s3s4s3s,
(full) snubbed icositetrachoron (but not sadi),
non-uniform alternation of gippic
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

s3s4s3s

demi( . . . . ) | 576 |   1   1   1   2   2   2 |   1   1   1   3   3   3   3 |  1  1  1  1   4
----------------+-----+-------------------------+-----------------------------+----------------
demi( s 2 s . ) |   2 | 288   *   *   *   *   * |   0   0   0   2   0   2   0 |  1  0  1  0   2
demi( s .2. s ) |   2 |   * 288   *   *   *   * |   0   0   0   0   2   2   0 |  0  1  1  0   2
demi( . s 2 s ) |   2 |   *   * 288   *   *   * |   0   0   0   0   2   0   2 |  0  1  0  1   2
sefa( s3s . . ) |   2 |   *   *   * 576   *   * |   1   0   0   1   1   0   0 |  1  1  0  0   1
sefa( . s4s . ) |   2 |   *   *   *   * 576   * |   0   1   0   1   0   0   1 |  1  0  0  1   1
sefa( . . s3s ) |   2 |   *   *   *   *   * 576 |   0   0   1   0   0   1   1 |  0  0  1  1   1
----------------+-----+-------------------------+-----------------------------+----------------
      s3s . .      3 |   0   0   0   3   0   0 | 192   *   *   *   *   *   * |  1  1  0  0   0
      . s4s .      4 |   0   0   0   0   4   0 |   * 144   *   *   *   *   * |  1  0  0  1   0
      . . s3s      3 |   0   0   0   0   0   3 |   *   * 192   *   *   *   * |  0  0  1  1   0
sefa( s3s4s . ) |   3 |   1   0   0   1   1   0 |   *   *   * 576   *   *   * |  1  0  0  0   1
sefa( s3s 2 s ) |   3 |   0   1   1   1   0   0 |   *   *   *   * 576   *   * |  0  1  0  0   1
sefa( s 2 s3s ) |   3 |   1   1   0   0   0   1 |   *   *   *   *   * 576   * |  0  0  1  0   1
sefa( . s4s3s ) |   3 |   0   0   1   0   1   1 |   *   *   *   *   *   * 576 |  0  0  0  1   1
----------------+-----+-------------------------+-----------------------------+----------------
      s3s4s .     24 |  12   0   0  24  24   0 |   8   6   0  24   0   0   0 | 24  *  *  *   *
      s3s 2 s      6 |   0   3   3   6   0   0 |   2   0   0   0   6   0   0 |  * 96  *  *   *
      s 2 s3s      6 |   3   3   0   0   0   6 |   0   0   2   0   0   6   0 |  *  * 96  *   *
      . s4s3s     24 |   0   0  12   0  24  24 |   0   6   8   0   0   0  24 |  *  *  * 24   *
sefa( s3s4s3s )    4 |   1   1   1   1   1   1 |   0   0   0   1   1   1   1 |  *  *  *  * 576

or
demi( . . . . )    | 576 |   2   1    4   2 |   2   1    6    6 |  2   2   4
-------------------+-----+------------------+-------------------+-----------
demi( s 2 s . )  & |   2 | 576   *    *   * |   0   0    2    2 |  1   1   2
demi( s .2. s )    |   2 |   * 288    *   * |   0   0    0    4 |  0   2   2
sefa( s3s . . )  & |   2 |   *   * 1152   * |   1   0    1    1 |  1   1   1
sefa( . s4s . )    |   2 |   *   *    * 576 |   0   1    2    0 |  2   0   1
-------------------+-----+------------------+-------------------+-----------
      s3s . .    &    3 |   0   0    3   0 | 384   *    *    * |  1   1   0
      . s4s .         4 |   0   0    0   4 |   * 144    *    * |  2   0   0
sefa( s3s4s . )  & |   3 |   1   0    1   1 |   *   * 1152    * |  1   0   1
sefa( s3s 2 s )  & |   3 |   1   1    1   0 |   *   *    * 1152 |  0   1   1
-------------------+-----+------------------+-------------------+-----------
      s3s4s .    &   24 |  12   0   24  24 |   8   6   24    0 | 48   *   *
      s3s 2 s    &    6 |   3   3    6   0 |   2   0    0    6 |  * 192   *
sefa( s3s4s3s )       4 |   2   1    2   1 |   0   0    2    2 |  *   * 576

starting figure: x3x4x3x

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