Acronym bautic, J67
Name biaugmented truncated cube
 
 © ©
Vertex figures [3,43], [3,4,3,8], [3,82]
Lace city
in approx. ASCII-art
  o q o  
x w   w x
w       w
         
w       w
x w   w x
  o q o  
    x   x    
  x w   w x  
o     U     o	(U=qw=u+q=x+w)
             
o     U     o
  x w   w x  
    x   x    
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {4} (at join):   arccos(-sqrt[(3+2 sqrt(2))/6]) = 170.264390°
  • between {3} and {4} (at squacu lacings):   arccos(-sqrt(2/3)) = 144.735610°
  • between {3} and {8} (at join):   arccos(-sqrt(2/3)) = 144.735610°
  • between {3} and {8} (at tic edges):   arccos(-1/sqrt(3)) = 125.264390°
  • between {8} and {8}:   90°
Confer
uniform relative:
tic  
related Johnson solids:
squacu   autic  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld

Incidence matrix

4 * * * * * | 2 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0  top polar
* 8 * * * * | 0 1 1 1 1 0 0 0 0 0 0 | 0 1 1 1 1 0 0 0 0  upper join
* * 4 * * * | 0 0 0 0 2 1 0 0 0 0 0 | 0 0 0 1 2 0 0 0 0  upper medial
* * * 4 * * | 0 0 0 0 0 1 2 0 0 0 0 | 0 0 0 0 2 1 0 0 0  lower medial
* * * * 8 * | 0 0 0 0 0 0 1 1 1 1 0 | 0 0 0 0 1 1 1 1 0  lower join
* * * * * 4 | 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 1 2 1  bottom polar
------------+-----------------------+------------------
2 0 0 0 0 0 | 4 * * * * * * * * * * | 1 1 0 0 0 0 0 0 0
1 1 0 0 0 0 | * 8 * * * * * * * * * | 0 1 1 0 0 0 0 0 0
0 2 0 0 0 0 | * * 4 * * * * * * * * | 0 1 0 1 0 0 0 0 0
0 2 0 0 0 0 | * * * 4 * * * * * * * | 0 0 1 0 1 0 0 0 0
0 1 1 0 0 0 | * * * * 8 * * * * * * | 0 0 0 1 1 0 0 0 0
0 0 1 1 0 0 | * * * * * 4 * * * * * | 0 0 0 0 2 0 0 0 0
0 0 0 1 1 0 | * * * * * * 8 * * * * | 0 0 0 0 1 1 0 0 0
0 0 0 0 2 0 | * * * * * * * 4 * * * | 0 0 0 0 1 0 1 0 0
0 0 0 0 2 0 | * * * * * * * * 4 * * | 0 0 0 0 0 1 0 1 0
0 0 0 0 1 1 | * * * * * * * * * 8 * | 0 0 0 0 0 0 1 1 0
0 0 0 0 0 2 | * * * * * * * * * * 4 | 0 0 0 0 0 0 0 1 1
----------+-------------------------+------------------
4 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * *  top {4}
2 2 0 0 0 0 | 1 2 1 0 0 0 0 0 0 0 0 | * 4 * * * * * * *  augmenting {4}
1 2 0 0 0 0 | 0 2 0 1 0 0 0 0 0 0 0 | * * 4 * * * * * *  augmenting {3}
0 2 1 0 0 0 | 0 0 1 0 2 0 0 0 0 0 0 | * * * 4 * * * * *  upper {3}
0 2 2 2 2 0 | 0 0 0 1 2 2 2 1 0 0 0 | * * * * 4 * * * *  {8}
0 0 0 1 2 0 | 0 0 0 0 0 0 2 0 1 0 0 | * * * * * 4 * * *  lower {3}
0 0 0 0 2 1 | 0 0 0 0 0 0 0 1 0 2 0 | * * * * * * 4 * *  augmenting {3}
0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * 4 *  augmenting {4}
0 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * 1  bottom {4}
or
8  * * | 2  2 0 0  0 0 | 1 2 1 0 0  polar
* 16 * | 0  1 1 1  1 0 | 0 1 1 1 1  join
*  * 8 | 0  0 0 0  2 1 | 0 0 0 1 2  medial
-------+---------------+----------
2  0 0 | 8  * * *  * * | 1 1 0 0 0
1  1 0 | * 16 * *  * * | 0 1 1 0 0
0  2 0 | *  * 8 *  * * | 0 1 0 1 0
0  2 0 | *  * * 8  * * | 0 0 1 0 1
0  1 1 | *  * * * 16 * | 0 0 0 1 1
0  0 2 | *  * * *  * 4 | 0 0 0 0 2
-------+---------------+----------
4  0 0 | 4  0 0 0  0 0 | 2 * * * *  polar {4}
2  2 0 | 1  2 1 0  0 0 | * 8 * * *  augmenting {4}
1  2 0 | 0  2 0 1  0 0 | * * 8 * *  augmenting {3}
0  2 1 | 0  0 1 0  2 0 | * * * 8 *  medial {3}
0  4 4 | 0  0 0 2  4 2 | * * * * 4  {8}

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