Acronym sircoatic, sirco || tic, K-4.100
Name small rhombicuboctahedron atop truncated cube,
small-rhombicuboctahedral cap of small rhombated tesseract
Segmentochoron display
Circumradius sqrt[2+sqrt(2)] = 1.847759
Lace city
in approx. ASCII-art
x4o x4x   x4x x4o
                 
x4x w4o   w4o x4x
Dihedral angles
  • at {3} between oct and trip:   150°
  • at {4} between sirco and trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {4} between squacu and trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {3} between oct and sirco:   120°
  • at {3} between oct and squacu:   120°
  • at {4} between sirco and squacu:   90°
  • at {8} between squacu and tic:   90°
  • at {3} between oct and tic:   60°
Confer
uniform relative:
srit  
related CRFs:
pacsrit  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xo3ox4xx&#x   → height = 1/sqrt(2) = 0.707107
(sirco || tic)

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  2  1 | 0  0 0  1  2  2 1 2 | 0 1  1 2 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 |  *  *  * 24  * | 0  0 0  0  1  0 1 1 | 0 1  0 1 1
.. .. .x    |  0  2 |  *  *  *  * 12 | 0  0 0  0  0  2 0 2 | 0 0  1 2 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
xo .. ..&#x |  2  1 |  1  0  2  0  0 | *  * * 24  *  * * * | 0 1  1 0 0
.. ox ..&#x |  1  2 |  0  0  2  1  0 | *  * *  * 24  * * * | 0 1  0 1 0
.. .. xx&#x |  2  2 |  0  1  2  0  1 | *  * *  *  * 24 * * | 0 0  1 1 0
.o3.x ..    |  0  3 |  0  0  0  3  0 | *  * *  *  *  * 8 * | 0 1  0 0 1
.. .x4.x    |  0  8 |  0  0  0  4  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 *  * * *
xo3ox ..&#x   3  3 |  3  0  6  3  0 | 1  0 0  3  3  0 1 0 | * 8  * * *
xo .. xx&#x   4  2 |  2  2  4  0  1 | 0  1 0  2  0  2 0 0 | * * 12 * *
.. ox4xx&#x   4  8 |  0  4  8  4  4 | 0  0 1  0  4  4 0 1 | * *  * 6 *
.o3.x4.x      0 24 |  0  0  0 24 12 | 0  0 0  0  0  0 8 6 | * *  * * 1

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