Acronym ticagirco, K-4.128
Name truncated cube atop great rhombicuboctahedron,
truncated-cubical cap of prismatorhombated hexadecachoron,
cuboctahedral supra-cap of small rhombated icositetrachoron
Segmentochoron display
Circumradius sqrt[4+2 sqrt(2)] = 2.613126
Lace city
in approx. ASCII-art
    x4x w4o  w4o x4x    
                        
x4x x4u w4x  w4x x4u x4x
            x3x
               
               
o3x            
            x3w
               
               
o3w            		with
               		X=2x+q=x+w
               
            u3w
               
               
x3w            
            X3x
               
            x3X
w3x            
               
               
            w3u
               
               
w3o            
               
               
            w3x
x3o            
               
               
            x3x
Dihedral angles
  • at {3} between tricu and trip:   150°
  • at {4} between op and trip:   arccos(-sqrt[2/3]) = 144.735610°
  • at {8} between op and tic:   135°
  • at {4} between op and tricu:   135°
  • at {3} between tic and tricu:   120°
  • at {6} between girco and tricu:   60°
  • at {4} between girco and trip:   arccos(1/sqrt(3)) = 54.735610°
  • at {8} between girco and op:   45°
Confer
uniform relatives:
proh   srico  
related CRFs:
qo ox3xx4xx&#zx   wx ox3xx4xx&#zx  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

ox3xx4xx&#x   → height = 1/sqrt(2) = 0.707107
(tic || girco)

o.3o.4o.    | 24  * |  2  1  2  0  0  0 | 1 2  1  2  2 0  0 0 | 1 1  1 2 0
.o3.o4.o    |  * 48 |  0  0  1  1  1  1 | 0 0  1  1  1 1  1 1 | 0 1  1 1 1
------------+-------+-------------------+---------------------+-----------
.. x. ..    |  2  0 | 24  *  *  *  *  * | 1 1  0  1  0 0  0 0 | 1 1  0 1 0
.. .. x.    |  2  0 |  * 12  *  *  *  * | 0 2  0  0  2 0  0 0 | 1 0  1 2 0
oo3oo4oo&#x |  1  1 |  *  * 48  *  *  * | 0 0  1  1  1 0  0 0 | 0 1  1 1 0
.x .. ..    |  0  2 |  *  *  * 24  *  * | 0 0  1  0  0 1  1 0 | 0 1  1 0 1
.. .x ..    |  0  2 |  *  *  *  * 24  * | 0 0  0  1  0 1  0 1 | 0 1  0 1 1
.. .. .x    |  0  2 |  *  *  *  *  * 24 | 0 0  0  0  1 0  1 1 | 0 0  1 1 1
------------+-------+-------------------+---------------------+-----------
o.3x. ..    |  3  0 |  3  0  0  0  0  0 | 8 *  *  *  * *  * * | 1 1  0 0 0
.. x.4x.    |  8  0 |  4  4  0  0  0  0 | * 6  *  *  * *  * * | 1 0  0 1 0
ox .. ..&#x |  1  2 |  0  0  2  1  0  0 | * * 24  *  * *  * * | 0 1  1 0 0
.. xx ..&#x |  2  2 |  1  0  2  0  1  0 | * *  * 24  * *  * * | 0 1  0 1 0
.. .. xx&#x |  2  2 |  0  1  2  0  0  1 | * *  *  * 24 *  * * | 0 0  1 1 0
.x3.x ..    |  0  6 |  0  0  0  3  3  0 | * *  *  *  * 8  * * | 0 1  0 0 1
.x .. .x    |  0  4 |  0  0  0  2  0  2 | * *  *  *  * * 12 * | 0 0  1 0 1
.. .x4.x    |  0  8 |  0  0  0  0  4  4 | * *  *  *  * *  * 6 | 0 0  0 1 1
------------+-------+-------------------+---------------------+-----------
o.3x.4x.     24  0 | 24 12  0  0  0  0 | 8 6  0  0  0 0  0 0 | 1 *  * * *
ox3xx ..&#x   3  6 |  3  0  6  3  3  0 | 1 0  3  3  0 1  0 0 | * 8  * * *
ox .. xx&#x   2  4 |  0  1  4  2  0  2 | 0 0  2  0  2 0  1 0 | * * 12 * *
.. xx4xx&#x   8  8 |  4  4  8  0  4  4 | 0 1  0  4  4 0  0 1 | * *  * 6 *
.x3.x4.x      0 48 |  0  0  0 24 24 24 | 0 0  0  0  0 8 12 6 | * *  * * 1

© 2004-2018
top of page