Acronym toatic, toe || tic, K-4.98
Name truncated octahedron atop truncated cube
Segmentochoron display
Circumradius sqrt[(11+8 sqrt(2))/7] = 1.785406
Lace city
in approx. ASCII-art
  x4x  w4o   w4o  x4x  
                       
o4x  o4u  q4x  o4u  o4x
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between tet and tricu:   arccos[-(3 sqrt(2)-1)/4] = 144.160482°
  • at {3} between squacu and tet:   arccos[-(3 sqrt(2)-2)/4] = 124.101465°
  • at {6} between toe and tricu:   arccos[-(3 sqrt(2)-2)/4] = 124.101465°
  • at {8} between squacu and tic:   arccos[-(2-sqrt(2))/2] = 107.031248°
  • at {4} between squacu and tricu:   arccos[-(2-sqrt(2))/2] = 107.031248°
  • at {4} between squacu and toe:   arccos[(2-sqrt(2))/2] = 72.968752°
  • at {3} between tic and tricu:   arccos[(3 sqrt(2)-2)/4] = 55.898535°
Confer
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

ox3xx4xo&#x   → height = sqrt[2 sqrt(2)-1]/2 = 0.676097
(tic || toe)

o.3o.4o.    | 24  * |  2  1  2  0  0 | 1 2  1  2  2 0 0 | 1 1  1 2 0
.o3.o4.o    |  * 24 |  0  0  2  1  2 | 0 0  2  2  1 2 1 | 0 2  1 1 1
------------+-------+----------------+------------------+-----------
.. x. ..    |  2  0 | 24  *  *  *  * | 1 1  0  1  0 0 0 | 1 1  0 1 0
.. .. x.    |  2  0 |  * 12  *  *  * | 0 2  0  0  2 0 0 | 1 0  1 2 0
oo3oo4oo&#x |  1  1 |  *  * 48  *  * | 0 0  1  1  1 0 0 | 0 1  1 1 0
.x .. ..    |  0  2 |  *  *  * 12  * | 0 0  2  0  0 2 0 | 0 2  1 0 1
.. .x ..    |  0  2 |  *  *  *  * 24 | 0 0  0  1  0 1 1 | 0 1  0 1 1
------------+-------+----------------+------------------+-----------
o.3x. ..    |  3  0 |  3  0  0  0  0 | 8 *  *  *  * * * | 1 1  0 0 0
.. x.4x.    |  8  0 |  4  4  0  0  0 | * 6  *  *  * * * | 1 0  0 1 0
ox .. ..&#x |  1  2 |  0  0  2  1  0 | * * 24  *  * * * | 0 1  1 0 0
.. xx ..&#x |  2  2 |  1  0  2  0  1 | * *  * 24  * * * | 0 1  0 1 0
.. .. xo&#x |  2  1 |  0  1  2  0  0 | * *  *  * 24 * * | 0 0  1 1 0
.x3.x ..    |  0  6 |  0  0  0  3  3 | * *  *  *  * 8 * | 0 1  0 0 1
.. .x4.o    |  0  4 |  0  0  0  0  4 | * *  *  *  * * 6 | 0 0  0 1 1
------------+-------+----------------+------------------+-----------
o.3x.4x.     24  0 | 24 12  0  0  0 | 8 6  0  0  0 0 0 | 1 *  * * *
ox3xx ..&#x   3  6 |  3  0  6  3  3 | 1 0  3  3  0 1 0 | * 8  * * *
ox .. xo&#x   2  2 |  0  1  4  1  0 | 0 0  2  0  2 0 0 | * * 12 * *
.. xx4xo&#x   8  4 |  4  4  8  0  4 | 0 1  0  4  4 0 1 | * *  * 6 *
.x3.x4.o      0 24 |  0  0  0 12 24 | 0 0  0  0  0 8 6 | * *  * * 1

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