| Acronym | sircoa ticcup | 
| Name | small-rhombicuboctahedron atop truncated-cube-prism | 
| Circumradius | (3+sqrt(2))/2 = 2.207107 | 
| Lace city in approx. ASCII-art | 
    x3o4x    
             
o3x4x   o3x4x
 | 
| Face vector | 72, 240, 282, 141, 29 | 
| Confer | 
 | 
Incidence matrix according to Dynkin symbol
ox xo3ox4xx&#x   → height = 1/2 = 0.5
(sirco || ticcup)
o. o.3o.4o.    | 24  * |  2  2  4  0  0  0 | 1  2 1  2  4  2  4  0  0  0  0 | 1  2  1  2  2  4  2 0 0 0 | 1  2 1 2 0
.o .o3.o4.o    |  * 48 |  0  0  2  1  2  1 | 0  0 0  2  1  2  2  2  1  1  2 | 0  1  2  2  1  1  2 1 2 1 | 1  1 2 1 1
---------------+-------+-------------------+--------------------------------+---------------------------+-----------
.. x. .. ..    |  2  0 | 24  *  *  *  *  * | 1  1 0  0  2  0  0  0  0  0  0 | 1  1  0  0  2  2  0 0 0 0 | 1  1 0 2 0
.. .. .. x.    |  2  0 |  * 24  *  *  *  * | 0  1 1  0  0  0  2  0  0  0  0 | 1  0  0  1  0  2  2 0 0 0 | 0  1 1 2 0
oo oo3oo4oo&#x |  1  1 |  *  * 96  *  *  * | 0  0 0  1  1  1  1  0  0  0  0 | 0  1  1  1  1  1  1 0 0 0 | 1  1 1 1 0
.x .. .. ..    |  0  2 |  *  *  * 24  *  * | 0  0 0  2  0  0  0  2  1  0  0 | 0  1  2  2  0  0  0 1 2 0 | 1  1 2 0 1
.. .. .x ..    |  0  2 |  *  *  *  * 48  * | 0  0 0  0  0  1  0  1  0  1  1 | 0  0  1  0  1  0  1 1 1 1 | 1  0 1 1 1
.. .. .. .x    |  0  2 |  *  *  *  *  * 24 | 0  0 0  0  0  0  2  0  1  0  2 | 0  0  0  2  0  1  2 0 2 1 | 0  1 2 1 1
---------------+-------+-------------------+--------------------------------+---------------------------+-----------
.. x.3o. ..    |  3  0 |  3  0  0  0  0  0 | 8  * *  *  *  *  *  *  *  *  * | 1  0  0  0  2  0  0 0 0 0 | 1  0 0 2 0
.. x. .. x.    |  4  0 |  2  2  0  0  0  0 | * 12 *  *  *  *  *  *  *  *  * | 1  0  0  0  0  2  0 0 0 0 | 0  1 0 2 0
.. .. o.4x.    |  4  0 |  0  4  0  0  0  0 | *  * 6  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  2 0 0 0 | 0  0 1 2 0
ox .. .. ..&#x |  1  2 |  0  0  2  1  0  0 | *  * * 48  *  *  *  *  *  *  * | 0  1  1  1  0  0  0 0 0 0 | 1  1 1 0 0
.. xo .. ..&#x |  2  1 |  1  0  2  0  0  0 | *  * *  * 48  *  *  *  *  *  * | 0  1  0  0  1  1  0 0 0 0 | 1  1 0 1 0
.. .. ox ..&#x |  1  2 |  0  0  2  0  1  0 | *  * *  *  * 48  *  *  *  *  * | 0  0  1  0  1  0  1 0 0 0 | 1  0 1 1 0
.. .. .. xx&#x |  2  2 |  0  1  2  0  0  1 | *  * *  *  *  * 48  *  *  *  * | 0  0  0  1  0  1  1 0 0 0 | 0  1 1 1 0
.x .. .x ..    |  0  4 |  0  0  0  2  2  0 | *  * *  *  *  *  * 24  *  *  * | 0  0  1  0  0  0  0 1 1 0 | 1  0 1 0 1
.x .. .. .x    |  0  4 |  0  0  0  2  0  2 | *  * *  *  *  *  *  * 12  *  * | 0  0  0  2  0  0  0 0 2 0 | 0  1 2 0 1
.. .o3.x ..    |  0  3 |  0  0  0  0  3  0 | *  * *  *  *  *  *  *  * 16  * | 0  0  0  0  1  0  0 1 0 1 | 1  0 0 1 1
.. .. .x4.x    |  0  8 |  0  0  0  0  4  4 | *  * *  *  *  *  *  *  *  * 12 | 0  0  0  0  0  0  1 0 1 1 | 0  0 1 1 1
---------------+-------+-------------------+--------------------------------+---------------------------+-----------
.. x.3o.4x.    ♦ 24  0 | 24 24  0  0  0  0 | 8 12 6  0  0  0  0  0  0  0  0 | 1  *  *  *  *  *  * * * * | 0  0 0 2 0
ox xo .. ..&#x ♦  2  2 |  1  0  4  1  0  0 | 0  0 0  2  2  0  0  0  0  0  0 | * 24  *  *  *  *  * * * * | 1  1 0 0 0
ox .. ox ..&#x ♦  1  4 |  0  0  4  2  2  0 | 0  0 0  2  0  2  0  1  0  0  0 | *  * 24  *  *  *  * * * * | 1  0 1 0 0
ox .. .. xx&#x ♦  2  4 |  0  1  4  2  0  2 | 0  0 0  2  0  0  2  0  1  0  0 | *  *  * 24  *  *  * * * * | 0  1 1 0 0
.. xo3ox ..&#x ♦  3  3 |  3  0  6  0  3  0 | 1  0 0  0  3  3  0  0  0  1  0 | *  *  *  * 16  *  * * * * | 1  0 0 1 0
.. xo .. xx&#x ♦  4  2 |  2  2  4  0  0  1 | 0  1 0  0  2  0  2  0  0  0  0 | *  *  *  *  * 24  * * * * | 0  1 0 1 0
.. .. ox4xx&#x ♦  4  8 |  0  4  8  0  4  4 | 0  0 1  0  0  4  4  0  0  0  1 | *  *  *  *  *  * 12 * * * | 0  0 1 1 0
.x .o3.x ..    ♦  0  6 |  0  0  0  3  6  0 | 0  0 0  0  0  0  0  3  0  2  0 | *  *  *  *  *  *  * 8 * * | 1  0 0 0 1
.x .. .x4.x    ♦  0 16 |  0  0  0  8  8  8 | 0  0 0  0  0  0  0  4  4  0  2 | *  *  *  *  *  *  * * 6 * | 0  0 1 0 1
.. .o3.x4.x    ♦  0 24 |  0  0  0  0 24 12 | 0  0 0  0  0  0  0  0  0  8  6 | *  *  *  *  *  *  * * * 2 | 0  0 0 1 1
---------------+-------+-------------------+--------------------------------+---------------------------+-----------
ox xo3ox ..&#x ♦  3  6 |  3  0 12  3  6  0 | 1  0 0  6  6  6  0  3  0  2  0 | 0  3  3  0  2  0  0 1 0 0 | 8  * * * *
ox xo .. xx&#x ♦  4  4 |  2  2  8  2  0  2 | 0  1 0  4  4  0  4  0  1  0  0 | 0  2  0  2  0  2  0 0 0 0 | * 12 * * *
ox .. ox4xx&#x ♦  4 16 |  0  4 16  8  8  8 | 0  0 1  8  0  8  8  4  4  0  2 | 0  0  4  4  0  0  2 0 1 0 | *  * 6 * *
.. xo3ox4xx&#x ♦ 24 24 | 24 24 48  0 24 12 | 8 12 6  0 24 24 24  0  0  8  6 | 1  0  0  0  8 12  6 0 0 1 | *  * * 2 *
.x .o3.x4.x    ♦  0 48 |  0  0  0 24 48 24 | 0  0 0  0  0  0  0 24 12 16 12 | 0  0  0  0  0  0  0 8 6 2 | *  * * * 1
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