Acronym sircoatoe, sirco || toe, K-4.75
Name small rhombicuboctahedron atop truncated octahedron
Segmentochoron display
Circumradius sqrt[(35+16 sqrt(2))/23] = 1.582890
Lace city
in approx. ASCII-art
  x4o  x4x   x4x  x4o  
                       
o4x  o4u  q4x  o4u  o4x
Dihedral angles
(at margins)
  • at {4} between tricu and trip:   arccos[-(sqrt(8)-1)/sqrt(6)] = 138.283988°
  • at {3} between squap and trip:   arccos[-sqrt(3 sqrt(2)/8)] = 136.738853°
  • at {3} between squap and tricu:   arccos[-(sqrt(8)-1)/sqrt(sqrt(128))] = 122.928678°
  • at {4} between sirco and trip:   arccos[-(2-sqrt(2))/sqrt(3)] = 109.767487°
  • at {4} between sirco and squap:   arccos[-(sqrt(2)-1)/sqrt(sqrt(8))] = 104.258250°
  • at {6} between toe and tricu:   arccos[-(3-sqrt(8))/sqrt(8)] = 93.477707°
  • at {3} between sirco and tricu:   arccos[(3-sqrt(8))/sqrt(8)] = 86.522293°
  • at {4} between squap and toe:   arccos[(sqrt(2)-1)/sqrt(sqrt(8))] = 75.741750°
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xx3ox4xo&#x   → height = sqrt[sqrt(2)-3/4] = 0.814993
(sirco || toe)

o.3o.4o.    | 24  * |  2  2  2  0  0 | 1  2 1  2  1  2 0 0 | 1 1  2 1 0
.o3.o4.o    |  * 24 |  0  0  2  1  2 | 0  0 0  2  2  1 2 1 | 0 2  1 1 1
------------+-------+----------------+---------------------+-----------
x. .. ..    |  2  0 | 24  *  *  *  * | 1  1 0  1  0  0 0 0 | 1 1  1 0 0
.. .. x.    |  2  0 |  * 24  *  *  * | 0  1 1  0  0  1 0 0 | 1 0  1 1 0
oo3oo4oo&#x |  1  1 |  *  * 48  *  * | 0  0 0  1  1  1 0 0 | 0 1  1 1 0
.x .. ..    |  0  2 |  *  *  * 12  * | 0  0 0  2  0  0 2 0 | 0 2  1 0 1
.. .x ..    |  0  2 |  *  *  *  * 24 | 0  0 0  0  1  0 1 1 | 0 1  0 1 1
------------+-------+----------------+---------------------+-----------
x.3o. ..    |  3  0 |  3  0  0  0  0 | 8  * *  *  *  * * * | 1 1  0 0 0
x. .. x.    |  4  0 |  2  2  0  0  0 | * 12 *  *  *  * * * | 1 0  1 0 0
.. o.4x.    |  4  0 |  0  4  0  0  0 | *  * 6  *  *  * * * | 1 0  0 1 0
xx .. ..&#x |  2  2 |  1  0  2  1  0 | *  * * 24  *  * * * | 0 1  1 0 0
.. ox ..&#x |  1  2 |  0  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
------------+-------+----------------+---------------------+-----------
x.3o.4x.     24  0 | 24 24  0  0  0 | 8 12 6  0  0  0 0 0 | 1 *  * * *
xx3ox ..&#x   3  6 |  3  0  6  3  3 | 1  0 0  3  3  0 1 0 | * 8  * * *
xx .. xo&#x   4  2 |  2  2  4  1  0 | 0  1 0  2  0  2 0 0 | * * 12 * *
.. ox4xo&#x   4  4 |  0  4  8  0  4 | 0  0 1  0  4  4 0 1 | * *  * 6 *
.x3.x4.o      0 24 |  0  0  0 12 24 | 0  0 0  0  0  0 8 6 | * *  * * 1

snubbed forms: xx3ox4so&#x

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