Acronym ..., oct || sirco, K-4.107
Name octahedron atop small rhombicuboctahedron,
octahedral cap of small prismatotetracontoctachoron
Segmentochoron display
Circumradius sqrt[2+sqrt(2)] = 1.847759
General of army (is itself convex)
Lace city
in approx. ASCII-art
        o4o         o4x         o4o        
                                           
                                           
                                           
x4o         x4x             x4x         x4o
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {4} between trip and trip:   arccos(-sqrt[8/9]) = 160.528779°
  • at {3} between oct and trip:   150°
  • at {3} between squippy and trip:   150°
  • at {4} between sirco and squippy:   45°
  • at {4} between sirco and trip:   arccos(sqrt[2/3]) = 35.264390°
  • at {3} between sirco and trip:   30°
Confer
uniform relative:
spic  
related segmentochora:
{4} || op   squippy || escu   squippy || squacu  
related CRFs:
owau prit  

Incidence matrix according to Dynkin symbol

xx3oo4ox&#x   → height = 1/2
(oct || sirco)

o.3o.4o.    | 6  * |  4  4  0  0 | 4  8  4 0  0 0 | 1 4  4 1 0
.o3.o4.o    | * 24 |  0  1  2  2 | 0  2  2 1  2 1 | 0 1  2 1 1
------------+------+-------------+----------------+-----------
x. .. ..    | 2  0 | 12  *  *  * | 2  2  0 0  0 0 | 1 2  1 0 0
oo3oo4oo&#x | 1  1 |  * 24  *  * | 0  2  2 0  0 0 | 0 1  2 1 0
.x .. ..    | 0  2 |  *  * 24  * | 0  1  0 1  1 0 | 0 1  1 0 1
.. .. .x    | 0  2 |  *  *  * 24 | 0  0  1 0  1 1 | 0 0  1 1 1
------------+------+-------------+----------------+-----------
x.3o. ..    | 3  0 |  3  0  0  0 | 8  *  * *  * * | 1 1  0 0 0
xx .. ..&#x | 2  2 |  1  2  1  0 | * 24  * *  * * | 0 1  1 0 0
.. .. ox&#x | 1  2 |  0  2  0  1 | *  * 24 *  * * | 0 0  1 1 0
.x3.o ..    | 0  3 |  0  0  3  0 | *  *  * 8  * * | 0 1  0 0 1
.x .. .x    | 0  4 |  0  0  2  2 | *  *  * * 12 * | 0 0  1 0 1
.. .o4.x    | 0  4 |  0  0  0  4 | *  *  * *  * 6 | 0 0  0 1 1
------------+------+-------------+----------------+-----------
x.3o.4o.     6  0 | 12  0  0  0 | 8  0  0 0  0 0 | 1 *  * * *
xx3oo ..&#x  3  3 |  3  3  3  0 | 1  3  0 1  0 0 | * 8  * * *
xx .. ox&#x  2  4 |  1  4  2  2 | 0  2  2 0  1 0 | * * 12 * *
.. oo4ox&#x  1  4 |  0  4  0  4 | 0  0  4 0  0 1 | * *  * 6 *
.x3.o4.x     0 24 |  0  0 24 24 | 0  0  0 8 12 6 | * *  * * 1

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