Acronym toagirco, toe || girco, K-4.149
Name truncated octahedron atop great rhombicuboctahedron,
truncated octahedral cap of prismatorhombated icositetrachoron
Segmentochoron display
Circumradius sqrt[8+3 sqrt(2)] = 3.498949
Lace city
in approx. ASCII-art
    o4x   o4u   q4x   o4u   o4x    
                                   
x4x   x4u   w4x     w4x   x4u   x4x
Dihedral angles
  • at {4} between hip and trip:   arccos(-sqrt[8/9]) = 160.528779°
  • at {6} between hip and toe:   150°
  • at {3} between squacu and trip:   150°
  • at {4} between hip and squacu:   arccos(-sqrt[2/3]) = 144.735610°
  • at {4} between squacu and toe:   135°
  • at {8} between girco and squacu:   45°
  • at {4} between girco and trip:   arccos(sqrt[2/3]) = 35.264390°
  • at {6} between girco and hip:   30°
Confer
uniform relative:
prico  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xx3xx4ox&#x   → height = 1/2
(toe || girco)

o.3o.4o.    | 24  * |  1  2  2  0  0  0 | 2 1  2  2  1 0  0 0 | 1 2  1 1 0
.o3.o4.o    |  * 48 |  0  0  1  1  1  1 | 0 0  1  1  1 1  1 1 | 0 1  1 1 1
------------+-------+-------------------+---------------------+-----------
x. .. ..    |  2  0 | 12  *  *  *  *  * | 2 0  2  0  0 0  0 0 | 1 1  1 0 0
.. x. ..    |  2  0 |  * 24  *  *  *  * | 1 1  0  1  0 0  0 0 | 1 1  0 1 0
oo3oo4oo&#x |  1  1 |  *  * 48  *  *  * | 0 0  1  1  1 0  0 0 | 0 1  1 1 0
.x .. ..    |  0  2 |  *  *  * 24  *  * | 0 0  1  0  0 1  1 0 | 0 1  1 0 1
.. .x ..    |  0  2 |  *  *  *  * 24  * | 0 0  0  1  0 1  0 1 | 0 1  0 1 1
.. .. .x    |  0  2 |  *  *  *  *  * 24 | 0 0  0  0  1 0  1 1 | 0 0  1 1 1
------------+-------+-------------------+---------------------+-----------
x.3x. ..    |  6  0 |  3  3  0  0  0  0 | 8 *  *  *  * *  * * | 1 1  0 0 0
.. x.4o.    |  4  0 |  0  4  0  0  0  0 | * 6  *  *  * *  * * | 1 0  0 1 0
xx .. ..&#x |  2  2 |  1  0  2  1  0  0 | * * 24  *  * *  * * | 0 1  1 0 0
.. xx ..&#x |  2  2 |  0  1  2  0  1  0 | * *  * 24  * *  * * | 0 1  0 1 0
.. .. ox&#x |  1  2 |  0  0  2  0  0  1 | * *  *  * 24 *  * * | 0 0  1 1 0
.x3.x ..    |  0  6 |  0  0  0  3  3  0 | * *  *  *  * 8  * * | 0 1  0 0 1
.x .. .x    |  0  4 |  0  0  0  2  0  2 | * *  *  *  * * 12 * | 0 0  1 0 1
.. .x4.x    |  0  8 |  0  0  0  0  4  4 | * *  *  *  * *  * 6 | 0 0  0 1 1
------------+-------+-------------------+---------------------+-----------
x.3x.4o.     24  0 | 12 24  0  0  0  0 | 8 6  0  0  0 0  0 0 | 1 *  * * *
xx3xx ..&#x   6  6 |  3  3  6  3  3  0 | 1 0  3  3  0 1  0 0 | * 8  * * *
xx .. ox&#x   2  4 |  1  0  4  2  0  2 | 0 0  2  0  2 0  1 0 | * * 12 * *
.. xx4ox&#x   4  8 |  0  4  8  0  4  4 | 0 1  0  4  4 0  0 1 | * *  * 6 *
.x3.x4.x      0 48 |  0  0  0 24 24 24 | 0 0  0  0  0 8 12 6 | * *  * * 1

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