Acronym cubasirco, cube || sirco, K-4.71
Name cube atop small rhombicuboctahedron,
cubical cap of small disprismatotesseractihexadecachoron
Segmentochoron display / VRML 
 ⭳
Circumradius sqrt[(3+sqrt(2))/2] = 1.485633
Lace city
in approx. ASCII-art 
     x4o    x4o     
                    
x4o  x4x    x4x  x4o
Dihedral angles
  • at {3} between tet and trip:   150°
  • at {4} between (axial) cube and trip:   arccos[-sqrt(2/3)] = 144.735610°
  • at {4} between (base) cube and (lacing) cube:   135°
  • at {3} between sirco and tet:   60°
  • at {4} between sirco and trip:   arccos[1/sqrt(3)] = 54.735610°
  • at {4} between (lacing) cube and sirco:   45°
Face vector 32, 84, 80, 28
Confer
uniform relative:
sidpith  
related CRFs:
pacsid pith  
general polytopal classes:
segmentochora  
External
links 		polytopewiki  

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


Incidence matrix according to Dynkin symbol

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

o.3o.4o.    | 8  * |  3  3  0  0 | 3  3  6 0  0 0 | 1 1  3 3 0
.o3.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
oo3oo4oo&#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.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.3o.4x.    ♦ 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 * *
.. oo4xx&#x ♦ 4  4 |  4  4  0  4 | 1  0  4 0  0 1 | * *  * 6 *
.x3.o4.x    ♦ 0 24 |  0  0 24 24 | 0  0  0 8 12 6 | * *  * * 1

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