Acronym cubaquerco
Name cube atop quasirhombicuboctahedron,
cubical cap of quasidisprismatotesseractihexadecachoron
Circumradius sqrt[(3-sqrt(2))/2] = 0.890446
Lace city
in approx. ASCII-art
 x4/3o                   x4/3o 			-- o3o4/3x (cube)
                               
                               
                               
                               
                               
                               
                               
                               
                               
(x4/3x) x4/3o     x4/3o (x4/3x)			-- x3o4/3x (querco)
Face vector 32, 84, 80, 28
Confer
uniform relative:
quidpith  
general polytopal classes:
segmentochora  

As abstract polytope cubaquerco is isomorphic to cubasirco, thereby replacing pseudo octagrams by pseudo octagons, and querco by sirco.


Incidence matrix according to Dynkin symbol

ox3/2oo4xx&#x   → height = 1/sqrt(2) = 0.707107
(cube || querco)

o.3/2o.4o.    | 8  * |  3  3  0  0 | 3  3  6 0  0 0 | 1 1  3 3 0
.o3/2.o4.o    | * 24 |  0  1  2  2 | 0  2  2 1  2 1 | 0 1  2 1 1
--------------+------+-------------+----------------+-----------
..   .. x.    | 2  0 | 12  *  *  * | 2  0  2 0  0 0 | 1 0  1 2 0
oo3/2oo4oo&#x | 1  1 |  * 24  *  * | 0  2  2 0  0 0 | 0 1  2 1 0
.x   .. ..    | 0  2 |  *  * 24  * | 0  1  0 1  1 0 | 0 1  1 0 1
..   .. .x    | 0  2 |  *  *  * 24 | 0  0  1 0  1 1 | 0 0  1 1 1
--------------+------+-------------+----------------+-----------
..   o.4x.    | 4  0 |  4  0  0  0 | 6  *  * *  * * | 1 0  0 1 0
ox   .. ..&#x | 1  2 |  0  2  1  0 | * 24  * *  * * | 0 1  1 0 0
..   .. xx&#x | 2  2 |  1  2  0  1 | *  * 24 *  * * | 0 0  1 1 0
.x3/2.o ..    | 0  3 |  0  0  3  0 | *  *  * 8  * * | 0 1  0 0 1
.x   .. .x    | 0  4 |  0  0  2  2 | *  *  * * 12 * | 0 0  1 0 1
..   .o4.x    | 0  4 |  0  0  0  4 | *  *  * *  * 6 | 0 0  0 1 1
--------------+------+-------------+----------------+-----------
o.3/2o.4x.     8  0 | 12  0  0  0 | 6  0  0 0  0 0 | 1 *  * * *
ox3/2oo ..&#x  1  3 |  0  3  3  0 | 0  3  0 1  0 0 | * 8  * * *
ox   .. xx&#x  2  4 |  1  4  2  2 | 0  2  2 0  1 0 | * * 12 * *
..   oo4xx&#x  4  4 |  4  4  0  4 | 1  0  4 0  0 1 | * *  * 6 *
.x3/2.o4.x     0 24 |  0  0 24 24 | 0  0  0 8 12 6 | * *  * * 1

ox3oo4xx&#x   → height = 1/sqrt(2) = 0.707107
(cube || querco)

o.3o.4/3o.    | 8  * |  3  3  0  0 | 3  3  6 0  0 0 | 1 1  3 3 0
.o3.o4/3.o    | * 24 |  0  1  2  2 | 0  2  2 1  2 1 | 0 1  2 1 1
--------------+------+-------------+----------------+-----------
.. ..   x.    | 2  0 | 12  *  *  * | 2  0  2 0  0 0 | 1 0  1 2 0
oo3oo4/3oo&#x | 1  1 |  * 24  *  * | 0  2  2 0  0 0 | 0 1  2 1 0
.x ..   ..    | 0  2 |  *  * 24  * | 0  1  0 1  1 0 | 0 1  1 0 1
.. ..   .x    | 0  2 |  *  *  * 24 | 0  0  1 0  1 1 | 0 0  1 1 1
--------------+------+-------------+----------------+-----------
.. o.4/3x.    | 4  0 |  4  0  0  0 | 6  *  * *  * * | 1 0  0 1 0
ox ..   ..&#x | 1  2 |  0  2  1  0 | * 24  * *  * * | 0 1  1 0 0
.. ..   xx&#x | 2  2 |  1  2  0  1 | *  * 24 *  * * | 0 0  1 1 0
.x3.o   ..    | 0  3 |  0  0  3  0 | *  *  * 8  * * | 0 1  0 0 1
.x ..   .x    | 0  4 |  0  0  2  2 | *  *  * * 12 * | 0 0  1 0 1
.. .o4/3.x    | 0  4 |  0  0  0  4 | *  *  * *  * 6 | 0 0  0 1 1
--------------+------+-------------+----------------+-----------
o.3o.4/3x.     8  0 | 12  0  0  0 | 6  0  0 0  0 0 | 1 *  * * *
ox3oo   ..&#x  1  3 |  0  3  3  0 | 0  3  0 1  0 0 | * 8  * * *
ox ..   xx&#x  2  4 |  1  4  2  2 | 0  2  2 0  1 0 | * * 12 * *
.. oo4/3xx&#x  4  4 |  4  4  0  4 | 1  0  4 0  0 1 | * *  * 6 *
.x3.o4/3.x     0 24 |  0  0 24 24 | 0  0  0 8 12 6 | * *  * * 1

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