Acronym coatut, co || tut, K-4.48
Name cuboctahedron atop truncated tetrahedron,
cuboctahedral cap of small rhombated pentachoron
Segmentochoron display
Circumradius sqrt(7/5) = 1.183216
Lace city
in approx. ASCII-art
x3o  u3o  x3x
             
o3x  x3x  x3o
o x   x u   u x   x o
                     
                     
   x x  ou uo  x x   
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between oct and trip:   arccos(-sqrt[3/8]) = 127.761244°
  • at {4} between co and trip:   arccos(-1/sqrt(6)) = 114.094843°
  • at {4} between tricu and trip:   arccos(-1/sqrt(6)) = 114.094843°
  • at {3} between co and oct:   arccos(-1/4) = 104.477512°
  • at {3} between oct and tricu:   arccos(-1/4) = 104.477512°
  • at {6} between tricu and tut:   arccos(-1/4) = 104.477512°
  • at {3} between co and tricu:   arccos(1/4) = 75.522488°
  • at {3} between oct and tut:   arccos(1/4) = 75.522488°
Confer
related CRFs:
srip   octatut   tetaco altut  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xx3xo3ox&#x   → height = sqrt(5/8) = 0.790569
(tut || co)

o.3o.3o.    | 12  * | 1  2  2  0  0 | 2 1  2  2  1 0 0 0 | 1 2 1 1 0
.o3.o3.o    |  * 12 | 0  0  2  2  2 | 0 0  2  1  2 1 2 1 | 0 1 2 1 1
------------+-------+---------------+--------------------+----------
x. .. ..    |  2  0 | 6  *  *  *  * | 2 0  2  0  0 0 0 0 | 1 2 1 0 0
.. x. ..    |  2  0 | * 12  *  *  * | 1 1  0  1  0 0 0 0 | 1 1 0 1 0
oo3oo3oo&#x |  1  1 | *  * 24  *  * | 0 0  1  1  1 0 0 0 | 0 1 1 1 0
.x .. ..    |  0  2 | *  *  * 12  * | 0 0  1  0  0 1 1 0 | 0 1 1 0 1
.. .. .x    |  0  2 | *  *  *  * 12 | 0 0  0  0  1 0 1 1 | 0 0 1 1 1
------------+-------+---------------+--------------------+----------
x.3x. ..    |  6  0 | 3  3  0  0  0 | 4 *  *  *  * * * * | 1 1 0 0 0
.. x.3o.    |  3  0 | 0  3  0  0  0 | * 4  *  *  * * * * | 1 0 0 1 0
xx .. ..&#x |  2  2 | 1  0  2  1  0 | * * 12  *  * * * * | 0 1 1 0 0
.. xo ..&#x |  2  1 | 0  1  2  0  0 | * *  * 12  * * * * | 0 1 0 1 0
.. .. ox&#x |  1  2 | 0  0  2  0  1 | * *  *  * 12 * * * | 0 0 1 1 0
.x3.o ..    |  0  3 | 0  0  0  3  0 | * *  *  *  * 4 * * | 0 1 0 0 1
.x .. .x    |  0  4 | 0  0  0  2  2 | * *  *  *  * * 6 * | 0 0 1 0 1
.. .o3.x    |  0  3 | 0  0  0  0  3 | * *  *  *  * * * 4 | 0 0 0 1 1
------------+-------+---------------+--------------------+----------
x.3x.3o.     12  0 | 6 12  0  0  0 | 4 4  0  0  0 0 0 0 | 1 * * * *
xx3xo ..&#x   6  3 | 3  3  6  3  0 | 1 0  3  3  0 1 0 0 | * 4 * * *
xx .. ox&#x   2  4 | 1  0  4  2  2 | 0 0  2  0  2 0 1 0 | * * 6 * *
.. xo3ox&#x   3  3 | 0  3  6  0  3 | 0 1  0  3  3 0 0 1 | * * * 4 *
.x3.o3.x      0 12 | 0  0  0 12 12 | 0 0  0  0  0 4 6 4 | * * * * 1

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