Acronym ...
Name 2frico (?)
Circumradius sqrt(3) = 1.732051
Coordinates (sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
General of army rico
Colonel of regiment rico
Confer
non-Grünbaumian master:
frico  

Looks like a completely coincident compound of 2 copies of frico, in fact all elements coincide by 2.


Incidence matrix according to Dynkin symbol

x3x4o3o4/3*a

. . . .      | 192 |   3   3 |   6   3   3 |  3  3  1  1
-------------+-----+---------+-------------+------------
x . . .      |   2 | 288   * |   2   2   0 |  1  2  1  0
. x . .      |   2 |   * 288 |   2   0   2 |  2  1  0  1
-------------+-----+---------+-------------+------------
x3x . .      |   6 |   3   3 | 192   *   * |  1  1  0  0
x . . o4/3*a |   4 |   4   0 |   * 144   * |  1  0  1  0
. x4o .      |   4 |   0   4 |   *   * 144 |  0  1  0  1
-------------+-----+---------+-------------+------------
x3x4o .        24 |  12  24 |   8   6   0 | 24  *  *  *
x3x . o4/3*a   24 |  24  12 |   8   0   6 |  * 24  *  *
x . o3o4/3*a    8 |  12   0 |   0   6   0 |  *  * 24  *
. x4o3o         8 |   0  12 |   0   0   6 |  *  *  * 24

x3x4o3/2o4*a

. . .   .    | 192 |   3   3 |   6   3   3 |  3  3  1  1
-------------+-----+---------+-------------+------------
x . .   .    |   2 | 288   * |   2   2   0 |  1  2  1  0
. x .   .    |   2 |   * 288 |   2   0   2 |  2  1  0  1
-------------+-----+---------+-------------+------------
x3x .   .    |   6 |   3   3 | 192   *   * |  1  1  0  0
x . .   o4*a |   4 |   4   0 |   * 144   * |  1  0  1  0
. x4o   .    |   4 |   0   4 |   *   * 144 |  0  1  0  1
-------------+-----+---------+-------------+------------
x3x4o   .      24 |  12  24 |   8   6   0 | 24  *  *  *
x3x .   o4*a   24 |  24  12 |   8   0   6 |  * 24  *  *
x . o3/2o4*a    8 |  12   0 |   0   6   0 |  *  * 24  *
. x4o3/2o       8 |   0  12 |   0   0   6 |  *  *  * 24
or
. . .   .       | 192 |   6 |   6   6 |  6  2
----------------+-----+-----+---------+------
x . .   .     & |   2 | 576 |   2   2 |  3  1
----------------+-----+-----+---------+------
x3x .   .       |   6 |   6 | 192   * |  2  0
x . .   o4*a  & |   4 |   4 |   * 288 |  1  1
----------------+-----+-----+---------+------
x3x4o   .     &   24 |  36 |   8   6 | 48  *
x . o3/2o4*a  &    8 |  12 |   0   6 |  * 48

x3x4/3o3/2o4/3*a

. .   .   .      | 192 |   3   3 |   6   3   3 |  3  3  1  1
-----------------+-----+---------+-------------+------------
x .   .   .      |   2 | 288   * |   2   2   0 |  1  2  1  0
. x   .   .      |   2 |   * 288 |   2   0   2 |  2  1  0  1
-----------------+-----+---------+-------------+------------
x3x   .   .      |   6 |   3   3 | 192   *   * |  1  1  0  0
x .   .   o4/3*a |   4 |   4   0 |   * 144   * |  1  0  1  0
. x4/3o   .      |   4 |   0   4 |   *   * 144 |  0  1  0  1
-----------------+-----+---------+-------------+------------
x3x4/3o   .        24 |  12  24 |   8   6   0 | 24  *  *  *
x3x   .   o4/3*a   24 |  24  12 |   8   0   6 |  * 24  *  *
x .   o3/2o4/3*a    8 |  12   0 |   0   6   0 |  *  * 24  *
. x4/3o3/2o         8 |   0  12 |   0   0   6 |  *  *  * 24
or
. .   .   .         | 192 |   6 |   6   6 |  6  2
--------------------+-----+-----+---------+------
x .   .   .       & |   2 | 576 |   2   2 |  3  1
--------------------+-----+-----+---------+------
x3x   .   .         |   6 |   6 | 192   * |  2  0
x .   .   o4/3*a  & |   4 |   4 |   * 288 |  1  1
--------------------+-----+-----+---------+------
x3x4/3o   .       &   24 |  36 |   8   6 | 48  *
x .   o3/2o4/3*a  &    8 |  12 |   0   6 |  * 48

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