Acronym coasircope
Name cuboctahedron atop small-rhombicuboctahedron prism
Circumradius sqrt[2+sqrt(2)] = 1.847759
Lace city
in approx. ASCII-art
    o3x4o    
             
x3o4x   x3o4x
Face vector 60, 240, 306, 153, 29
Confer
related segmentotera:
ica sidpith  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox ox3xo4ox&#x   → height = sqrt[(sqrt(2)-1)/2] = 0.455090
(co || sircope)

o. o.3o.4o.    | 12  * |  4  8  0  0  0 | 2 2  4  4  8  4  0  0  0  0  0 | 1  2  4  2  4  2  4 0  0 0 0 | 2  1 2 2 0
.o .o3.o4.o    |  * 48 |  0  2  1  2  2 | 0 0  2  2  1  2  2  2  1  2  1 | 0  2  1  2  1  2  1 1  2 1 1 | 1  2 1 1 1
---------------+-------+----------------+--------------------------------+------------------------------+-----------
.. .. x. ..    |  2  0 | 24  *  *  *  * | 1 1  0  0  2  0  0  0  0  0  0 | 1  0  1  0  2  0  2 0  0 0 0 | 1  0 1 2 0
oo oo3oo4oo&#x |  1  1 |  * 96  *  *  * | 0 0  1  1  1  1  0  0  0  0  0 | 0  1  1  1  1  1  1 0  0 0 0 | 1  1 1 1 0
.x .. .. ..    |  0  2 |  *  * 24  *  * | 0 0  2  0  0  0  2  2  0  0  0 | 0  2  1  2  0  0  0 1  2 1 0 | 1  2 1 0 1
.. .x .. ..    |  0  2 |  *  *  * 48  * | 0 0  0  1  0  0  1  0  1  1  0 | 0  1  0  0  1  1  0 1  1 0 1 | 1  1 0 1 1
.. .. .. .x    |  0  2 |  *  *  *  * 48 | 0 0  0  0  0  1  0  1  0  1  1 | 0  0  0  1  0  1  1 0  1 1 1 | 0  1 1 1 1
---------------+-------+----------------+--------------------------------+------------------------------+-----------
.. o.3x. ..    |  3  0 |  3  0  0  0  0 | 8 *  *  *  *  *  *  *  *  *  * | 1  0  0  0  2  0  0 0  0 0 0 | 1  0 0 2 0
.. .. x.4o.    |  4  0 |  4  0  0  0  0 | * 6  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  2 0  0 0 0 | 0  0 1 2 0
ox .. .. ..&#x |  1  2 |  0  2  1  0  0 | * * 48  *  *  *  *  *  *  *  * | 0  1  1  1  0  0  0 0  0 0 0 | 1  1 1 0 0
.. ox .. ..&#x |  1  2 |  0  2  0  1  0 | * *  * 48  *  *  *  *  *  *  * | 0  1  0  0  1  1  0 0  0 0 0 | 1  1 0 1 0
.. .. xo ..&#x |  2  1 |  1  2  0  0  0 | * *  *  * 48  *  *  *  *  *  * | 0  0  1  0  1  0  1 0  0 0 0 | 1  0 1 1 0
.. .. .. ox&#x |  1  2 |  0  2  0  0  1 | * *  *  *  * 48  *  *  *  *  * | 0  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  0 1  1 0 0 | 1  1 0 0 1
.x .. .. .x    |  0  4 |  0  0  2  0  2 | * *  *  *  *  *  * 24  *  *  * | 0  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  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  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  0  1 0  0 1 1 | 0  0 1 1 1
---------------+-------+----------------+--------------------------------+------------------------------+-----------
.. o.3x.4o.     12  0 | 24  0  0  0  0 | 8 6  0  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 0  2  2  0  0  1  0  0  0  0 | * 24  *  *  *  *  * *  * * * | 1  1 0 0 0
ox .. xo ..&#x   2  2 |  1  4  1  0  0 | 0 0  2  0  2  0  0  0  0  0  0 | *  * 24  *  *  *  * *  * * * | 1  0 1 0 0
ox .. .. ox&#x   1  4 |  0  4  2  0  2 | 0 0  2  0  0  2  0  1  0  0  0 | *  *  * 24  *  *  * *  * * * | 0  1 1 0 0
.. ox3xo ..&#x   3  3 |  3  6  0  3  0 | 1 0  0  3  3  0  0  0  1  0  0 | *  *  *  * 16  *  * *  * * * | 1  0 0 1 0
.. ox .. ox&#x   1  4 |  0  4  0  2  2 | 0 0  0  2  0  2  0  0  0  1  0 | *  *  *  *  * 24  * *  * * * | 0  1 0 1 0
.. .. xo4ox&#x   4  4 |  4  8  0  0  4 | 0 1  0  0  4  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  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  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  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  0  0  8 12  6 | *  *  *  *  *  *  * *  * * 2 | 0  0 0 1 1
---------------+-------+----------------+--------------------------------+------------------------------+-----------
ox ox3xo ..&#x   3  6 |  3 12  3  6  0 | 1 0  6  6  6  0  3  0  2  0  0 | 0  3  3  0  2  0  0 1  0 0 0 | 8  * * * *
ox ox .. ox&#x   1  8 |  0  8  4  4  4 | 0 0  4  4  0  4  2  2  0  2  0 | 0  2  0  2  0  2  0 0  1 0 0 | * 12 * * *
ox .. xo4ox&#x   4  8 |  4 16  4  0  8 | 0 1  8  0  8  8  0  4  0  0  2 | 0  0  4  4  0  0  2 0  0 1 0 | *  * 6 * *
.. ox3xo4ox&#x  12 24 | 24 48  0 24 24 | 8 6  0 24 24 24  0  0  8 12  6 | 1  0  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  0  0 24 24 16 24 12 | 0  0  0  0  0  0  0 8 12 6 2 | *  * * * 1

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