Acronym coatic, K-4.129
Name cuboctahedron atop truncated cube,
cuboctahedral cap of small rhombated icositetrachoron
Segmentochoron display
Circumradius sqrt[4+2 sqrt(2)] = 2.613126
Lace city
in approx. ASCII-art
    x4x
       
o4x    
    w4o
       
q4o    
       
    w4o
o4x    
       
    x4x
        o3x
           
           
           
        o3w
           
o3x        
           
           
           
        x3w
           
x3x        
           
        w3x
           
           
           
x3o        
           
        w3o
           
           
           
        x3o
Dihedral angles
  • at {3} between co and trip:   150°
  • at {4} between squacu and trip:   arccos(-sqrt[2/3]) = 144.735610°
  • at {4} between co and squacu:   135°
  • at {3} between squacu and squacu:   120°
  • at {8} between squacu and tic:   45°
  • at {3} between tic and trip:   30°
Confer
related CRFs:
srico  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

oo3xx4ox&#x   → height = 1/2
(co || tic)

o.3o.3o.    | 12  * |  4  2  0  0 | 2 2  2  1 0 0 | 1 2 2 0
.o3.o4.o    |  * 24 |  0  1  2  1 | 0 0  2  1 1 2 | 0 1 2 1
------------+-------+-------------+---------------+--------
.. x. ..    |  2  0 | 24  *  *  * | 1 1  1  0 0 0 | 1 1 1 0
oo3oo4oo&#x |  1  1 |  * 24  *  * | 0 0  2  1 0 0 | 0 1 2 0
.. .x ..    |  0  2 |  *  * 24  * | 0 0  1  0 1 1 | 0 1 1 1
.. .. .x    |  0  2 |  *  *  * 12 | 0 0  0  1 0 2 | 0 0 2 1
------------+-------+-------------+---------------+--------
o.3x. ..    |  3  0 |  3  0  0  0 | 8 *  *  * * * | 1 1 0 0
.. x.4o.    |  4  0 |  4  0  0  0 | * 6  *  * * * | 1 0 1 0
.. xx ..&#x |  2  2 |  1  2  1  0 | * * 24  * * * | 0 1 1 0
.. .. ox&#x |  1  2 |  0  2  0  1 | * *  * 12 * * | 0 0 2 0
.o3.x ..    |  0  3 |  0  0  3  0 | * *  *  * 8 * | 0 1 0 1
.. .x4.x    |  0  8 |  0  0  4  4 | * *  *  * * 6 | 0 0 1 1
------------+-------+-------------+---------------+--------
o.3x.4o.     12  0 | 24  0  0  0 | 8 6  0  0 0 0 | 1 * * *
oo3xx ..&#x   3  3 |  3  3  3  0 | 1 0  3  0 1 0 | * 8 * *
.. xx4ox&#x   4  8 |  4  8  4  4 | 0 1  4  4 0 1 | * * 6 *
.o3.x4.x      0 24 |  0  0 24 12 | 0 0  0  0 8 6 | * * * 1

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