Acronym coates
Name cuboctahedron atop tesseract
Circumradius sqrt[3+sqrt(2)]/2 = 1.050501
Lace city
in approx. ASCII-art
    o3x4o    
             
o3o4x   o3o4x
Face vector 28, 104, 134, 73, 17
Confer
related segmentotera:
icates  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox oo3xo4ox&#x   → height = sqrt[sqrt(2)-1] = 0.643594
(co || tes)

o. o.3o.4o.    | 12  * |  4  4 0  0 | 2 2  2  8  2  0  0 | 1  4  1  4  4 0 0 | 2 2 2 0
.o .o3.o4.o    |  * 16 |  0  3 1  3 | 0 0  3  3  3  3  3 | 0  3  3  1  3 3 1 | 1 3 1 1
---------------+-------+------------+--------------------+-------------------+--------
.. .. x. ..    |  2  0 | 24  * *  * | 1 1  0  2  0  0  0 | 1  1  0  2  2 0 0 | 1 1 2 0
oo oo3oo4oo&#x |  1  1 |  * 48 *  * | 0 0  1  2  1  0  0 | 0  2  1  1  2 0 0 | 1 2 1 0
.x .. .. ..    |  0  2 |  *  * 8  * | 0 0  3  0  0  3  0 | 0  3  3  0  0 3 0 | 1 3 0 1
.. .. .. .x    |  0  2 |  *  * * 24 | 0 0  0  0  1  1  2 | 0  0  1  0  2 2 1 | 0 2 1 1
---------------+-------+------------+--------------------+-------------------+--------
.. o.3x. ..    |  3  0 |  3  0 0  0 | 8 *  *  *  *  *  * | 1  0  0  2  0 0 0 | 1 0 2 0
.. .. x.4o.    |  4  0 |  4  0 0  0 | * 6  *  *  *  *  * | 1  0  0  0  2 0 0 | 0 1 2 0
ox .. .. ..&#x |  1  2 |  0  2 1  0 | * * 24  *  *  *  * | 0  2  1  0  0 0 0 | 1 2 0 0
.. .. xo ..&#x |  2  1 |  1  2 0  0 | * *  * 48  *  *  * | 0  1  0  1  1 0 0 | 1 1 1 0
.. .. .. ox&#x |  1  2 |  0  2 0  1 | * *  *  * 24  *  * | 0  0  1  0  2 0 0 | 0 2 1 0
.x .. .. .x    |  0  4 |  0  0 2  2 | * *  *  *  * 12  * | 0  0  1  0  0 2 0 | 0 2 0 1
.. .. .o4.x    |  0  4 |  0  0 0  4 | * *  *  *  *  * 12 | 0  0  0  0  1 1 1 | 0 1 1 1
---------------+-------+------------+--------------------+-------------------+--------
.. o.3x.4o.     12  0 | 24  0 0  0 | 8 6  0  0  0  0  0 | 1  *  *  *  * * * | 0 0 2 0
ox .. xo ..&#x   2  2 |  1  4 1  0 | 0 0  2  2  0  0  0 | * 24  *  *  * * * | 1 1 0 0
ox .. .. ox&#x   1  4 |  0  4 2  2 | 0 0  2  0  2  1  0 | *  * 12  *  * * * | 0 2 0 0
.. oo3xo ..&#x   3  1 |  3  3 0  0 | 1 0  0  3  0  0  0 | *  *  * 16  * * * | 1 0 1 0
.. .. xo4ox&#x   4  4 |  4  8 0  4 | 0 1  0  4  4  0  1 | *  *  *  * 12 * * | 0 1 1 0
.x .. .o4.x      0  8 |  0  0 4  8 | 0 0  0  0  0  4  2 | *  *  *  *  * 6 * | 0 1 0 1
.. .o3.o4.x      0  8 |  0  0 0 12 | 0 0  0  0  0  0  6 | *  *  *  *  * * 2 | 0 0 1 1
---------------+-------+------------+--------------------+-------------------+--------
ox oo3xo ..&#x   3  2 |  3  6 1  0 | 1 0  3  6  0  0  0 | 0  3  0  2  0 0 0 | 8 * * *
ox .. xo4ox&#x   4  8 |  4 16 4  8 | 0 1  8  8  8  4  2 | 0  4  4  0  2 1 0 | * 6 * *
.. oo3xo4ox&#x  12  8 | 24 24 0 12 | 8 6  0 24 12  0  6 | 1  0  0  8  6 0 1 | * * 2 *
.x .o3.o4.x      0 16 |  0  0 8 24 | 0 0  0  0  0 12 12 | 0  0  0  0  0 6 2 | * * * 1

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