Acronym ...
Name x3f4o,
variation of truncated octahedron,
hull of siddo,
hull of passipsido
Circumradius sqrt[(5+2 sqrt(5))/2] = 2.176251
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer toe   a3b3c   x3x3u   a3b4c   x3u4o   x3w4o   u3x4o   siddo   presipsido   passipsido   sirsido  

Incidence matrix according to Dynkin symbol

x3f4o

. . . | 24 |  1  2 | 2 1
------+----+-------+----
x . . |  2 | 12  * | 2 0
. f . |  2 |  * 24 | 1 1
------+----+-------+----
x3f . |  6 |  3  3 | 8 *
. f4o |  4 |  0  4 | * 6

x3f4/3o

. .   . | 24 |  1  2 | 2 1
--------+----+-------+----
x .   . |  2 | 12  * | 2 0
. f   . |  2 |  * 24 | 1 1
--------+----+-------+----
x3f   . |  6 |  3  3 | 8 *
. f4/3o |  4 |  0  4 | * 6

f3x3f

. . . | 24 |  1  1  1 | 1 1 1
------+----+----------+------
f . . |  2 | 12  *  * | 1 1 0
. x . |  2 |  * 12  * | 1 0 1
. . f |  2 |  *  * 12 | 0 1 1
------+----+----------+------
f3x . |  6 |  3  3  0 | 4 * *
f . f |  4 |  2  0  2 | * 6 *
. x3f |  6 |  0  3  3 | * * 4

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