Acronym ...
Name q3o4x,
variation of small rhombicuboctahedron,
hull of tisso
Circumradius sqrt(11)/2 = 1.658312
Coordinates (3/2, 1/2, 1/2)   & all permutations, all changes of sign
Dihedral angles
  • between q3o and q . x:   arccos(-sqrt(2/3)) = 144.735610°
  • between q . x and o4x:   135°
Confer
uniform variant:
sirco  
variations:
a3b4c   f3o4x   u3o4x   x3o4q  
inscribed compounds:
tisso  

using edge sizes x = 1 and q = sqrt(2) = 1.414214


Incidence matrix according to Dynkin symbol

q3o4x

. . . | 24 |  2  2 | 1  2 1
------+----+-------+-------
q . . |  2 | 24  * | 1  1 0
. . x |  2 |  * 24 | 0  1 1
------+----+-------+-------
q3o . |  3 |  3  0 | 8  * *
q . x |  4 |  2  2 | * 12 *
. o4x |  4 |  0  4 | *  * 6

x4/3o3/2q

.   .   . | 24 |  2  2 | 1  2 1
----------+----+-------+-------
x   .   . |  2 | 24  * | 1  1 0
.   .   q |  2 |  * 24 | 0  1 1
----------+----+-------+-------
x4/3o   . |  4 |  4  0 | 6  * *
x   .   q |  4 |  2  2 | * 12 *
.   o3/2q |  3 |  0  3 | *  * 8

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