Acronym sirco
TOCID symbol rCO
Name small rhombicuboctahedron

` © ©`
Vertex figure [3,43] = xq&#q
Snub derivation
Vertex layers
 Layer Symmetry Subsymmetries o3o4o o3o . o . o . o4o 1 x3o4x x3o .{3} first x . x{4} first . o4x{4} first 2 x3q . o . w . x4x 3 w3o . w . x . x4x 4 o3w . q . w . o4xopposite {4} 5 q3x . w . x 6 o3x .opposite {3} o . w 7 x . xopposite {4}
Lace city
in approx. ASCII-art
```  x x
x w w x
x w w x
x x
```
Coordinates ((1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army (is itself convex)
Colonel of regiment (is itself locally convex – other uniform polyhedral members: socco   sroh – other edge facetings)
Confer
related Johnson solids:
squacu   escu   op   esquigybcu
variations:
a3b4c   q3o4x   f3o4x   u3o4x   x3o4q
compounds:
rasseri
External

As abstract polytope sirco is isomorphic to querco, thereby replacing prograde triangles by retrograde ones.

Incidence matrix according to Dynkin symbol

```x3o4x

. . . | 24 |  2  2 | 1  2 1
------+----+-------+-------
x . . |  2 | 24  * | 1  1 0
. . x |  2 |  * 24 | 0  1 1
------+----+-------+-------
x3o . |  3 |  3  0 | 8  * *
x . x |  4 |  2  2 | * 12 *
. o4x |  4 |  0  4 | *  * 6
```

```x4/3o3/2x

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

```s3s4x

demi( . . . ) | 24 |  1  2  1 | 1 1  2
--------------+----+----------+-------
demi( . . x ) |  2 | 12  *  * | 0 1  1
sefa( s3s . ) |  2 |  * 24  * | 1 0  1
sefa( . s4x ) |  2 |  *  * 12 | 0 1  1
--------------+----+----------+-------
s3s .   ♦  3 |  0  3  0 | 8 *  *
. s4x   ♦  4 |  2  0  2 | * 6  *
sefa( s3s4x ) |  4 |  1  2  1 | * * 12
```

```xxxx4oxxo&#xt   → outer heights = 1/sqrt(2) = 0.707107
inner height  = 1
({4} || pseudo {8} || pseudo {8} || {4})

o...4o...    | 4 * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
.o..4.o..    | * 8 * * | 0 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0 0 0
..o.4..o.    | * * 8 * | 0 0 0 0 1 1 1 1 0 | 0 0 0 1 1 1 1 0
...o4...o    | * * * 4 | 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 2 1 1
-------------+---------+-------------------+----------------
x... ....    | 2 0 0 0 | 4 * * * * * * * * | 1 1 0 0 0 0 0 0
oo..4oo..&#x | 1 1 0 0 | * 8 * * * * * * * | 0 1 1 0 0 0 0 0
.x.. ....    | 0 2 0 0 | * * 4 * * * * * * | 0 1 0 1 0 0 0 0
.... .x..    | 0 2 0 0 | * * * 4 * * * * * | 0 0 1 0 1 0 0 0
.oo.4.oo.&#x | 0 1 1 0 | * * * * 8 * * * * | 0 0 0 1 1 0 0 0
..x. ....    | 0 0 2 0 | * * * * * 4 * * * | 0 0 0 1 0 1 0 0
.... ..x.    | 0 0 2 0 | * * * * * * 4 * * | 0 0 0 0 1 0 1 0
..oo4..oo&#x | 0 0 1 1 | * * * * * * * 8 * | 0 0 0 0 0 1 1 0
...x ....    | 0 0 0 2 | * * * * * * * * 4 | 0 0 0 0 0 1 0 1
-------------+---------+-------------------+----------------
x...4o...    | 4 0 0 0 | 4 0 0 0 0 0 0 0 0 | 1 * * * * * * *
xx.. ....&#x | 2 2 0 0 | 1 2 1 0 0 0 0 0 0 | * 4 * * * * * *
.... ox..&#x | 1 2 0 0 | 0 2 0 1 0 0 0 0 0 | * * 4 * * * * *
.xx. ....&#x | 0 2 2 0 | 0 0 1 0 2 1 0 0 0 | * * * 4 * * * *
.... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * 4 * * *
..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 1 0 2 1 | * * * * * 4 * *
.... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * 4 *
...x4...o    | 0 0 0 4 | 0 0 0 0 0 0 0 0 4 | * * * * * * * 1

or
o...4o...    & | 8  * | 2  2 0 0 0 | 1 2 1 0 0
.o..4.o..    & | * 16 | 0  1 1 1 1 | 0 1 1 1 1
---------------+------+------------+----------
x... ....    & | 2  0 | 8  * * * * | 1 1 0 0 0
oo..4oo..&#x & | 1  1 | * 16 * * * | 0 1 1 0 0
.x.. ....    & | 0  2 | *  * 8 * * | 0 1 0 1 0
.... .x..    & | 0  2 | *  * * 8 * | 0 0 1 0 1
.oo.4.oo.&#x & | 0  2 | *  * * * 8 | 0 0 0 1 1
---------------+------+------------+----------
x...4o...    & | 4  0 | 4  0 0 0 0 | 2 * * * *
xx.. ....&#x & | 2  2 | 1  2 1 0 0 | * 8 * * *
.... ox..&#x & | 1  2 | 0  2 0 1 0 | * * 8 * *
.xx. ....&#x   | 0  4 | 0  0 2 0 2 | * * * 4 *
.... .xx.&#x   | 0  4 | 0  0 0 2 2 | * * * * 4
```