Acronym ...
Name inpac+72{4} (?)
Circumradius sqrt[2+sqrt(2)] = 1.847759
General of army spic
Colonel of regiment spic

Looks like an icositetraintercepted prismatotetracontaoctachoron (inpac) with the set of 72 squares coincidently doubled up.


Incidence matrix according to Dynkin symbol

β3o4o3x

both( . . . . ) | 144 |   4   8 |   4   4   4   8 |  1  1  4  4
----------------+-----+---------+-----------------+------------
both( . . . x ) |   2 | 288   * |   2   0   0   2 |  1  0  1  2
sefa( β3o . . ) |   2 |   * 576 |   0   1   1   1 |  0  1  1  1
----------------+-----+---------+-----------------+------------
both( . . o3x ) |   3 |   3   0 | 192   *   *   * |  1  0  0  1
      β3o . .      3 |   0   3 |   * 192   *   * |  0  1  1  0
sefa( β3o4o . ) |   4 |   0   4 |   *   * 144   * |  0  1  0  1
sefa( β3o . x ) |   4 |   2   2 |   *   *   * 288 |  0  0  1  1
----------------+-----+---------+-----------------+------------
both( . o4o3x )    6 |  12   0 |   8   0   0   0 | 24  *  *  *
      β3o4o .      6 |   0  24 |   0   8   6   0 |  * 24  *  *
      β3o . x      6 |   3   6 |   0   2   0   3 |  *  * 96  *
sefa( β3o4o3x )   24 |  24  24 |   8   0   6  12 |  *  *  * 24

starting figure: x3o4o3x

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