Acronym cuba sircope
Name cube atop small-rhombicuboctahedron-prism
Circumradius sqrt[29+12 sqrt(2)]/4 = 1.695040
Lace city
in approx. ASCII-art
    o3o4x    
             
x3o4x   x3o4x
Face vector 56, 180, 226, 129, 29
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox ox3oo4xx&#x   → height = 1/2 = 0.5
(cube || sircope)

o. o.3o.4o.    | 8  * |  3  6  0  0  0 | 3  3  6 12  0  0  0  0  0 | 1  3  6  2  6  6 0  0 0 0 | 1  3 3 2 0
.o .o3.o4.o    | * 48 |  0  1  1  2  2 | 0  1  2  2  2  2  1  2  1 | 0  2  2  1  2  1 1  2 1 1 | 1  2 1 1 1
---------------+------+----------------+---------------------------+---------------------------+-----------
.. .. .. x.    | 2  0 | 12  *  *  *  * | 2  0  0  4  0  0  0  0  0 | 1  0  2  0  2  4 0  0 0 0 | 0  1 2 2 0
oo oo3oo4oo&#x | 1  1 |  * 48  *  *  * | 0  1  2  2  0  0  0  0  0 | 0  2  2  1  2  1 0  0 0 0 | 1  2 1 1 0
.x .. .. ..    | 0  2 |  *  * 24  *  * | 0  1  0  0  2  2  0  0  0 | 0  2  2  0  0  0 1  2 1 0 | 1  2 1 0 1
.. .x .. ..    | 0  2 |  *  *  * 48  * | 0  0  1  0  1  0  1  1  0 | 0  1  0  1  1  0 1  1 0 1 | 1  1 0 1 1
.. .. .. .x    | 0  2 |  *  *  *  * 48 | 0  0  0  1  0  1  0  1  1 | 0  0  1  0  1  1 0  1 1 1 | 0  1 1 1 1
---------------+------+----------------+---------------------------+---------------------------+-----------
.. .. o.4x.    | 4  0 |  4  0  0  0  0 | 6  *  *  *  *  *  *  *  * | 1  0  0  0  0  2 0  0 0 0 | 0  0 1 2 0
ox .. .. ..&#x | 1  2 |  0  2  1  0  0 | * 24  *  *  *  *  *  *  * | 0  2  2  0  0  0 0  0 0 0 | 1  2 1 0 0
.. ox .. ..&#x | 1  2 |  0  2  0  1  0 | *  * 48  *  *  *  *  *  * | 0  1  0  1  1  0 0  0 0 0 | 1  1 0 1 0
.. .. .. xx&#x | 2  2 |  1  2  0  0  1 | *  *  * 48  *  *  *  *  * | 0  0  1  0  1  1 0  0 0 0 | 0  1 1 1 0
.x .x .. ..    | 0  4 |  0  0  2  2  0 | *  *  *  * 24  *  *  *  * | 0  1  0  0  0  0 1  1 0 0 | 1  1 0 0 1
.x .. .. .x    | 0  4 |  0  0  2  0  2 | *  *  *  *  * 24  *  *  * | 0  0  1  0  0  0 0  1 1 0 | 0  1 1 0 1
.. .x3.o ..    | 0  3 |  0  0  0  3  0 | *  *  *  *  *  * 16  *  * | 0  0  0  1  0  0 1  0 0 1 | 1  0 0 1 1
.. .x .. .x    | 0  4 |  0  0  0  2  2 | *  *  *  *  *  *  * 24  * | 0  0  0  0  1  0 0  1 0 1 | 0  1 0 1 1
.. .. .o4.x    | 0  4 |  0  0  0  0  4 | *  *  *  *  *  *  *  * 12 | 0  0  0  0  0  1 0  0 1 1 | 0  0 1 1 1
---------------+------+----------------+---------------------------+---------------------------+-----------
.. o.3o.4x.     8  0 | 12  0  0  0  0 | 6  0  0  0  0  0  0  0  0 | 1  *  *  *  *  * *  * * * | 0  0 0 2 0
ox ox .. ..&#x  1  4 |  0  4  2  2  0 | 0  2  2  0  1  0  0  0  0 | * 24  *  *  *  * *  * * * | 1  1 0 0 0
ox .. .. xx&#x  2  4 |  1  4  2  0  2 | 0  2  0  2  0  1  0  0  0 | *  * 24  *  *  * *  * * * | 0  1 1 0 0
.. ox3oo ..&#x  1  3 |  0  3  0  3  0 | 0  0  3  0  0  0  1  0  0 | *  *  * 16  *  * *  * * * | 1  0 0 1 0
.. ox .. xx&#x  2  4 |  1  4  0  2  2 | 0  0  2  2  0  0  0  1  0 | *  *  *  * 24  * *  * * * | 0  1 0 1 0
.. .. oo4xx&#x  4  4 |  4  4  0  0  4 | 1  0  0  4  0  0  0  0  1 | *  *  *  *  * 12 *  * * * | 0  0 1 1 0
.x .x3.o ..     0  6 |  0  0  3  6  0 | 0  0  0  0  3  0  2  0  0 | *  *  *  *  *  * 8  * * * | 1  0 0 0 1
.x .x .. .x     0  8 |  0  0  4  4  4 | 0  0  0  0  2  2  0  2  0 | *  *  *  *  *  * * 12 * * | 0  1 0 0 1
.x .. .o4.x     0  8 |  0  0  4  0  8 | 0  0  0  0  0  4  0  0  2 | *  *  *  *  *  * *  * 6 * | 0  0 1 0 1
.. .x3.o4.x     0 24 |  0  0  0 24 24 | 0  0  0  0  0  0  8 12  6 | *  *  *  *  *  * *  * * 2 | 0  0 0 1 1
---------------+------+----------------+---------------------------+---------------------------+-----------
ox ox3oo ..&#x  1  6 |  0  6  3  6  0 | 0  3  6  0  3  0  2  0  0 | 0  3  0  2  0  0 1  0 0 0 | 8  * * * *
ox ox .. xx&#x  2  8 |  1  8  4  4  4 | 0  4  4  4  2  2  0  2  0 | 0  2  2  0  2  0 0  1 0 0 | * 12 * * *
ox .. oo4xx&#x  4  8 |  4  8  4  0  8 | 1  4  0  8  0  4  0  0  2 | 0  0  4  0  0  2 0  0 1 0 | *  * 6 * *
.. ox3oo4xx&#x  8 24 | 12 24  0 24 24 | 6  0 24 24  0  0  8 12  6 | 1  0  0  8 12  6 0  0 0 1 | *  * * 2 *
.x .x3.o4.x     0 48 |  0  0 24 48 48 | 0  0  0  0 24 24 16 24 12 | 0  0  0  0  0  0 8 12 6 2 | *  * * * 1

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