Acronym cubacope
Name cube atop cuboctahedron-prism
Circumradius sqrt[13+5 sqrt(2)]/4 = 1.120019
Lace city
in approx. ASCII-art
    o3o4x    
             
o3x4o   o3x4o
Face vector 32, 120, 154, 81, 17
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox oo3ox4xo&#x   → height = sqrt[sqrt(2)-1] = 0.643594
(cube || cope)

o. o.3o.4o.    | 8  * |  3  6  0  0 | 3  3  6  6  0  0  0 | 1  3  3  2  6 0 0 0 | 1 3 2 0
.o .o3.o4.o    | * 24 |  0  2  1  4 | 0  2  4  1  4  2  2 | 0  4  1  2  2 2 2 1 | 2 2 1 1
---------------+------+-------------+---------------------+---------------------+--------
.. .. .. x.    | 2  0 | 12  *  *  * | 2  0  0  2  0  0  0 | 1  0  1  0  4 0 0 0 | 0 2 2 0
oo oo3oo4oo&#x | 1  1 |  * 48  *  * | 0  1  2  1  0  0  0 | 0  2  1  1  2 0 0 0 | 1 2 1 0
.x .. .. ..    | 0  2 |  *  * 12  * | 0  2  0  0  4  0  0 | 0  4  1  0  0 2 2 0 | 2 2 0 1
.. .. .x ..    | 0  2 |  *  *  * 48 | 0  0  1  0  1  1  1 | 0  1  0  1  1 1 1 1 | 1 1 1 1
---------------+------+-------------+---------------------+---------------------+--------
.. .. o.4x.    | 4  0 |  4  0  0  0 | 6  *  *  *  *  *  * | 1  0  0  0  2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1  2 |  0  2  1  0 | * 24  *  *  *  *  * | 0  2  1  0  0 0 0 0 | 1 2 0 0
.. .. ox ..&#x | 1  2 |  0  2  0  1 | *  * 48  *  *  *  * | 0  1  0  1  1 0 0 0 | 1 1 1 0
.. .. .. xo&#x | 2  1 |  1  2  0  0 | *  *  * 24  *  *  * | 0  0  1  0  2 0 0 0 | 0 2 1 0
.x .. .x ..    | 0  4 |  0  0  2  2 | *  *  *  * 24  *  * | 0  1  0  0  0 1 1 0 | 1 1 0 1
.. .o3.x ..    | 0  3 |  0  0  0  3 | *  *  *  *  * 16  * | 0  0  0  1  0 1 0 1 | 1 0 1 1
.. .. .x4.o    | 0  4 |  0  0  0  4 | *  *  *  *  *  * 12 | 0  0  0  0  1 0 1 1 | 0 1 1 1
---------------+------+-------------+---------------------+---------------------+--------
.. o.3o.4x.     8  0 | 12  0  0  0 | 6  0  0  0  0  0  0 | 1  *  *  *  * * * * | 0 0 2 0
ox .. ox ..&#x  1  4 |  0  4  2  2 | 0  2  2  0  1  0  0 | * 24  *  *  * * * * | 1 1 0 0
ox .. .. xo&#x  2  2 |  1  4  1  0 | 0  2  0  2  0  0  0 | *  * 12  *  * * * * | 0 2 0 0
.. oo3ox ..&#x  1  3 |  0  3  0  3 | 0  0  3  0  0  1  0 | *  *  * 16  * * * * | 1 0 1 0
.. .. ox4xo&#x  4  4 |  4  8  0  4 | 1  0  4  4  0  0  1 | *  *  *  * 12 * * * | 0 1 1 0
.x .o3.x ..     0  6 |  0  0  3  6 | 0  0  0  0  3  2  0 | *  *  *  *  * 8 * * | 1 0 0 1
.x .. .x4.o     0  8 |  0  0  4  8 | 0  0  0  0  4  0  2 | *  *  *  *  * * 6 * | 0 1 0 1
.. .o3.x4.o     0 12 |  0  0  0 24 | 0  0  0  0  0  8  6 | *  *  *  *  * * * 2 | 0 0 1 1
---------------+------+-------------+---------------------+---------------------+--------
ox oo3ox ..&#x  1  6 |  0  6  3  6 | 0  3  6  0  3  2  0 | 0  3  0  2  0 1 0 0 | 8 * * *
ox .. ox4xo&#x  4  8 |  4 16  4  8 | 1  8  8  8  4  0  2 | 0  4  4  0  2 0 1 0 | * 6 * *
.. oo3ox4xo&#x  8 12 | 12 24  0 24 | 6  0 24 12  0  8  6 | 1  0  0  8  6 0 0 1 | * * 2 *
.x .o3.x4.o     0 24 |  0  0 12 48 | 0  0  0  0 24 16 12 | 0  0  0  0  0 8 6 2 | * * * 1

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