Acronym ...
Name 2oct+6{4} (?)
Circumradius 1/sqrt(2) = 0.707107
Vertex figure 4[4,6/2,6/2]
General of army oct
Colonel of regiment oct
Confer
non-Grünbaumian master:
oct  
Grünbaumian relatives:
oct+6{4}   2oct   2oct+8{3}   2oct+12{4}  
convex uniform variant:
toe  
variations:
a3b3c   x3x3u   a3b4c   x3f4o   x3u4o   x3w4o   u3x4o  

Looks like a compound of 2 octahedra (oct) plus the 3 diametral squares each, and indeed vertices coincide by four, edges coincide by three, {4} coincide by pairs.


Incidence matrix according to Dynkin symbol

x3/2x4o

.   . . | 24 |  1  2 | 2 1
--------+----+-------+----
x   . . |  2 | 12  * | 2 0
.   x . |  2 |  * 24 | 1 1
--------+----+-------+----
x3/2x . |  6 |  3  3 | 8 *
.   x4o |  4 |  0  4 | * 6

snubbed forms: s3/2s4o

o4/3x3/2x

.   .   . | 24 |  2  1 | 1 2
----------+----+-------+----
.   x   . |  2 | 24  * | 1 1
.   .   x |  2 |  * 12 | 0 2
----------+----+-------+----
o4/3x   . |  4 |  4  0 | 6 *
.   x3/2x |  6 |  3  3 | * 8

snubbed forms: o4/3s3/2s

x3/2x3/2x

.   .   . | 24 |  1  1  1 | 1 1 1
----------+----+----------+------
x   .   . |  2 | 12  *  * | 1 1 0
.   x   . |  2 |  * 12  * | 1 0 1
.   .   x |  2 |  *  * 12 | 0 1 1
----------+----+----------+------
x3/2x   . |  6 |  3  3  0 | 4 * *
x   .   x |  4 |  2  0  2 | * 6 *
.   x3/2x |  6 |  0  3  3 | * * 4

snubbed forms: s3/2s3/2s

(-x)3x4o

  .  . . | 24 |  1  2 | 2 1
---------+----+-------+----
 -x  . . |  2 | 12  * | 2 0
  .  x . |  2 |  * 24 | 1 1
---------+----+-------+----
(-x)3x . |  6 |  3  3 | 8 *
  .  x4o |  4 |  0  4 | * 6

x3(-x)3x

.   .  . | 24 |  1  1  1 | 1 1 1
---------+----+----------+------
x   .  . |  2 | 12  *  * | 1 1 0
.  -x  . |  2 |  * 12  * | 1 0 1
.   .  x |  2 |  *  * 12 | 0 1 1
---------+----+----------+------
x3(-x) . |  6 |  3  3  0 | 4 * *
x   .  x |  4 |  2  0  2 | * 6 *
. (-x)3x |  6 |  0  3  3 | * * 4

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